Ciro Santilli's Homepage (三西猴的首页)

| 🗖 nosplit | 238, 163k, 3k

🗖 nosplit | ⇓ toc | 238, 163k, 3k

Free gifted education and freedom of speech activist. Passion for the natural sciences, education and computers. Recreational cyclist. Opinions are his own.

GitHub | Stack Overflow | LinkedIn | YouTube | Twitter | Zhihu 知乎 | Weibo 微博 | Other accounts

Working on: Write free books to get famous website. Consider sponsoring Ciro at https://github.com/sponsors/cirosantilli starting from 1$/month so he can work full time can bring hardcore university-level STEM education to all ages.

This website is written in Cirodown, its source code is located at: https://github.com/cirosantilli/cirosantilli.github.io, and it is licensed under CC BY-SA 4.0 unless otherwise noted. To contact Ciro, see: Section 1.6. "How to contact Ciro Santilli".

Ciro_Santilli's_learn_teach_apply_logo.png

Table of contents | 238, 163k, 3k
- 1. Ciro Santilli (三西猴) | 514, 54k, 177 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's Homepage"
  - Sponsor Ciro Santilli | 20 | 🔗 link | 🗖 nosplit
  - 1.2. The most important projects done by Ciro Santilli | 155, 4k, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.3. The most important projects Ciro Santilli wants to do | 46, 2k, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.4. The next big thing | 109, 1k, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.5. The best articles by Ciro Santilli | 2k | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.6. How to contact Ciro Santilli | 816 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.7. Accounts controlled by Ciro Santilli | 683, 745, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.7.1. Ciro Santilli's Twitter accounts | 62 | 🔗 link | 🗖 nosplit | ↑ parent "Accounts controlled by Ciro Santilli"
  - 1.8. Cirism (Ciro Santilli's ideology) | 66, 10k, 25 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.8.1. Unconditional basic income | 421 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.2. Having more than one natural language is bad for the world | 1k | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.3. Don't be a pussy | 2k, 2k, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
      - 1.8.3.1. Being naughty and creative are correlated | 149 | 🔗 link | 🗖 nosplit | ↑ parent "Don't be a pussy"
      - 1.8.3.2. Steve Jobs' 2005 Stanford Commencement Address | 453 | 🔗 link | 🗖 nosplit | ↑ parent "Don't be a pussy"
    - 1.8.4. Backward design | 483, 569, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
      - 1.8.4.1. How to become a good programmer? | 86 | 🔗 link | 🗖 nosplit | ↑ parent "Backward design"
    - 1.8.5. Free gifted education | 1k | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.6. The side effects of ambitious goals are often the most valuable thing achieved | 317 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.7. Ciro Santilli's best random thoughts | 152 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.8. Animal rights | 815 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.9. University entry quotas | 880 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.10. Students must have a flexible choice of what to learn | 258 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.11. Rooting for sport teams | 448 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.12. Governments should provide basic Internet infrastructure | 190, 231, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
      - 1.8.12.1. Social media as a public utility | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Governments should provide basic Internet infrastructure"
    - 1.8.13. There is value in tutorials written by beginners | 199, 322, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
      - 1.8.13.1. There is value of tutorials written by early pioneers of the field | 123 | 🔗 link | 🗖 nosplit | ↑ parent "There is value in tutorials written by beginners"
    - 1.8.14. Cirocoin | 157 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
    - 1.8.15. Good and evil | 12, 1k, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Cirism"
      - 1.8.15.1. Evil | 732, 1k, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Good and evil"
        
        1.8.15.1.1. Online forums that lock threads after some time are evil | 112 | 🔗 link | 🗖 nosplit | ↑ parent "Evil"
        
        1.8.15.1.2. Planned obsolescence | 171 | 🔗 link | 🗖 nosplit | ↑ parent "Evil"
        
        1.8.15.1.3. Discounts that happen more often than not | 59 | 🔗 link | 🗖 nosplit | ↑ parent "Evil"
      - 1.8.15.2. Good | 325 | 🔗 link | 🗖 nosplit | ↑ parent "Good and evil"
  - 1.9. Ciro Santilli's website (cirosantilli.com) | 82, 2k, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.10. Ciro Santilli's skills | 0, 961, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.10.1. Ciro Santilli's documentation superpowers | 812 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's skills"
    - 1.10.2. Ciro Santilli's natural languages skills | 149 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's skills"
  - 1.11. Ciro Santilli's psychology and physiology | 667, 9k, 22 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.12. Ciro Santilli's drug experiences | 689 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.13. Ciro Santilli's biography | 610, 2k, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.14. Interesting members of the Santilli family | 210, 315, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.14.1. Ciro Santilli's homonyms | 105 | 🔗 link | 🗖 nosplit | ↑ parent "Interesting members of the Santilli family"
  - 1.15. Ciro Santilli's projects | 44, 8k, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
  - 1.16. Essays by Ciro Santilli | 41, 624, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - How to blackout your window without drilling | 20 | 🔗 link | 🗖 nosplit
    - How to teach | 20 | 🔗 link | 🗖 nosplit
    - What poor countries have to do to get richer | 20 | 🔗 link | 🗖 nosplit
    - 1.16.4. The missing link between basic and advanced | 293 | 🔗 link | 🗖 nosplit | ↑ parent "Essays by Ciro Santilli"
    - 1.16.5. How to write technical help requests and bug reports | 102 | 🔗 link | 🗖 nosplit | ↑ parent "Essays by Ciro Santilli"
    - 1.16.6. Questions for Ciro Santilli's future self | 128 | 🔗 link | 🗖 nosplit | ↑ parent "Essays by Ciro Santilli"
  - 1.17. Ciro Santilli's hardware | 55, 9k, 56 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.17.1. Mechanical and electrical tools | 244 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
    - 1.17.2. Cleaning products | 54, 72, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.2.1. Ronseal mould killer | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Cleaning products"
    - 1.17.3. Vacuum cleaner | 0, 75, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.3.1. Miele C2 Complete PowerLine vacuum cleaner | 75 | 🔗 link | 🗖 nosplit | ↑ parent "Vacuum cleaner"
    - 1.17.4. Kitchen | 0, 271, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.4.1. Panasonic NN-SF464M microwave (2017) | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
      - 1.17.4.2. Prestige 7.5L Stainless Stell Pressure Cooker (2020) | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
      - 1.17.4.3. KitchenAid Artisan toaster (2017) | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
      - 1.17.4.4. Tefal rice cooker (2017) | 206 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
      - 1.17.4.5. Joyoung rice cooker (2014) | 28 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
    - 1.17.5. Houses | 0, 744, 11 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.5.1. House 2018-01 | 20, 744, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Houses"
        
        1.17.5.1.1. Mould | 47 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
        
        1.17.5.1.2. Kitchen | 0, 236, 4 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
        
        1.17.5.1.2.1. Aluminium extractor filter | 152 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
        
        1.17.5.1.2.2. Fridge | 35 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
        
        1.17.5.1.2.3. Gas hob | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
        
        1.17.5.1.2.4. Kitchen tap | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Kitchen"
        
        1.17.5.1.3. Fire alarms | 14 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
        
        1.17.5.1.4. Light bulbs | 208 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
        
        1.17.5.1.5. Toilet mirror lamps | 217 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
        
        1.17.5.1.6. Toilet sink | 2 | 🔗 link | 🗖 nosplit | ↑ parent "House 2018-01"
    - 1.17.6. Cell phones | 0, 55, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.6.1. Google Pixel 3a (2020) | 55 | 🔗 link | 🗖 nosplit | ↑ parent "Cell phones"
    - 1.17.7. Computers | 20, 1k, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.7.1. Lenovo ThinkPad P51 (2017) | 619 | 🔗 link | 🗖 nosplit | ↑ parent "Computers"
      - 1.17.7.2. Orange Pi PC | 54 | 🔗 link | 🗖 nosplit | ↑ parent "Computers"
      - 1.17.7.3. Raspberry Pis | 10, 118, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Computers"
        
        1.17.7.3.1. Raspberry Pi 2 | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Raspberry Pis"
        
        1.17.7.3.2. Raspberry Pi 3 | 64 | 🔗 link | 🗖 nosplit | ↑ parent "Raspberry Pis"
      - 1.17.7.4. Computer accessories | 0, 396, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Computers"
        
        1.17.7.4.1. Internet speed | 23 | 🔗 link | 🗖 nosplit | ↑ parent "Computer accessories"
        
        1.17.7.4.2. External storage | 0, 285, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Computer accessories"
        
        1.17.7.4.2.1. Toshiba MK1059GSM | 32 | 🔗 link | 🗖 nosplit | ↑ parent "External storage"
        
        1.17.7.4.2.2. Western Digital WD10EADS-42P6B0 | 25 | 🔗 link | 🗖 nosplit | ↑ parent "External storage"
        
        1.17.7.4.2.3. Polytechnique USB flash drives | 228 | 🔗 link | 🗖 nosplit | ↑ parent "External storage"
        
        1.17.7.4.3. Skullcandy Smokin' Buds 2 | 88 | 🔗 link | 🗖 nosplit | ↑ parent "Computer accessories"
    - 1.17.8. Bicycle | 0, 6k, 15 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.8.1. Bicycles | 0, 4k, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle"
        
        1.17.8.1.1. Kross bicycle (2017) | 4k | 🔗 link | 🗖 nosplit | ↑ parent "Bicycles"
      - 1.17.8.2. Bicycle products | 482, 2k, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle"
        
        1.17.8.2.1. Cycling clothes | 1k, 2k, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.1.1. Cycling clothes temperature guide | 231 | 🔗 link | 🗖 nosplit | ↑ parent "Cycling clothes"
        
        1.17.8.2.1.2. dhb Dorica MTB Shoe (2020-12) | 131 | 🔗 link | 🗖 nosplit | ↑ parent "Cycling clothes"
        
        1.17.8.2.1.3. 2020-04 Giro Rumble VR Off Road Shoe | 212 | 🔗 link | 🗖 nosplit | ↑ parent "Cycling clothes"
        
        1.17.8.2.2. Park Tool BBT-22 | 33 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.3. Park Tool FR-5.2 Cassette Lockring Tool | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.4. Park Tool SR-12.2 chain whip | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.5. Park Tool PAW-12 adjustable wrench | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.6. 2020-04 Park Tool CCP-2.2 Cotterless Crank Puller Tool | 20 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.7. 2020-04 DECARETA Pedal Spanner | 89 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.8. 2019-12 Bikehut bicycle repair stand | 39 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
        
        1.17.8.2.9. 2019-03 Giant Control Tower 3 floor pump bike pump | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Bicycle products"
    - 1.17.9. Shoes | 12, 44, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's hardware"
      - 1.17.9.1. 2017-04 Nike Flex Experience RN 6 Grey running shoes | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Shoes"
  - 1.18. Ciro Santilli's cooking | 0, 254, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli"
    - 1.18.1. Roast chicken | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's cooking"
    - 1.18.2. Roasted nuts | 210 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's cooking"
- 2. Science | 0, 45k, 1k | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's Homepage"
  - 2.1. Natural science | 0, 41k, 934 | 🔗 link | 🗖 nosplit | ↑ parent "Science"
    - 2.1.1. Physics | 276, 33k, 581 | 🔗 link | 🗖 nosplit | ↑ parent "Natural science"
      - 2.1.1.1. How to teach and learn physics | 300 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
      - 2.1.1.2. The most important physics experiments | 43, 1k, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.2.1. Aharonov–Bohm effect | 70 | 🔗 link | 🗖 nosplit | ↑ parent "The most important physics experiments"
        
        2.1.1.2.2. Michelson-Morley experiment | 68, 88, 1 | 🔗 link | 🗖 nosplit | ↑ parent "The most important physics experiments"
        
        2.1.1.2.2.1. Davisson-Germer experiment | 20 | 🔗 link | 🗖 nosplit | ↑ parent "Michelson-Morley experiment"
        
        2.1.1.2.3. Compton scattering | 116 | 🔗 link | 🗖 nosplit | ↑ parent "The most important physics experiments"
        
        2.1.1.2.4. Photoelectric effect | 56 | 🔗 link | 🗖 nosplit | ↑ parent "The most important physics experiments"
        
        2.1.1.2.5. Lamb shift | 462, 761, 1 | 🔗 link | 🗖 nosplit | ↑ parent "The most important physics experiments"
        
        2.1.1.2.5.1. Lamb-Retherford experiment (1947) | 299 | 🔗 link | 🗖 nosplit | ↑ parent "Lamb shift"
      - 2.1.1.3. International System of Units (SI) | 47, 276, 15 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.3.1. Origins of Precision by Machine Thinking (2017) | 26 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.2. Versions of the international System of Units | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.2.1. 2019 redefinition of the SI base units | 🔗 link | 🗖 nosplit | ↑ parent "Versions of the international System of Units"
        
        2.1.1.3.3. Ampere in the 2019 redefinition of the SI base units | 128 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.4. Ampere | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.5. Kilogram | 37, 42, 1 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.5.1. Kibble balance | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Kilogram"
        
        2.1.1.3.6. Second | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.6.1. Time | 🔗 link | 🗖 nosplit | ↑ parent "Second"
        
        2.1.1.3.6.2. Year | 🔗 link | 🗖 nosplit | ↑ parent "Second"
        
        2.1.1.3.7. Meter | 0, 11, 1 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.7.1. Gauge block | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Meter"
        
        2.1.1.3.8. Geiger counter | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.9. Natural units | 22, 22, 1 | 🔗 link | 🗖 nosplit | ↑ parent "International System of Units"
        
        2.1.1.3.9.1. Planck units | 🔗 link | 🗖 nosplit | ↑ parent "Natural units"
      - 2.1.1.4. Particle physics | 135, 24k, 383 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.4.1. Standard Model | 92, 3k, 66 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.1.1. Theory of everything (TOE) | 138, 206, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Standard Model"
        
        2.1.1.4.1.1.1. Grand Unified Theory (GUT) | 65 | 🔗 link | 🗖 nosplit | ↑ parent "Theory of everything"
        
        2.1.1.4.1.1.2. The standard model and general relativity are incompatible | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Theory of everything"
        
        2.1.1.4.1.1.3. Fundamental interaction | 🔗 link | 🗖 nosplit | ↑ parent "Theory of everything"
        
        2.1.1.4.1.2. Subatomic particle | 0, 3k, 60 | 🔗 link | 🗖 nosplit | ↑ parent "Standard Model"
        
        2.1.1.4.1.2.1. Elementary particle | 0, 3k, 58 | 🔗 link | 🗖 nosplit | ↑ parent "Subatomic particle"
        
        2.1.1.4.1.2.1.1. Are there more than 3 generations of particles in the Standard Model? | 47 | 🔗 link | 🗖 nosplit | ↑ parent "Elementary particle"
        
        2.1.1.4.1.2.1.2. Photon | 124, 2k, 50 | 🔗 link | 🗖 nosplit | ↑ parent "Elementary particle"
        
        2.1.1.4.1.2.1.2.1. Light | 0, 304, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.1.1. Radio | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Light"
        
        2.1.1.4.1.2.1.2.1.1.1. Radar | 🔗 link | 🗖 nosplit | ↑ parent "Radio"
        
        2.1.1.4.1.2.1.2.1.2. Speed of light | 9, 273, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Light"
        
        2.1.1.4.1.2.1.2.1.2.1. Speed of light experiments | 86 | 🔗 link | 🗖 nosplit | ↑ parent "Speed of light"
        
        2.1.1.4.1.2.1.2.1.2.2. Faster-than-light (FTL) | 178, 178, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Speed of light"
        
        2.1.1.4.1.2.1.2.1.2.2.1. Tachyon | 🔗 link | 🗖 nosplit | ↑ parent "Faster-than-light"
        
        2.1.1.4.1.2.1.2.1.2.2.2. Tachyonic antitelephone | 🔗 link | 🗖 nosplit | ↑ parent "Faster-than-light"
        
        2.1.1.4.1.2.1.2.1.3. Electromagnetic spectrum | 0, 31, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Light"
        
        2.1.1.4.1.2.1.2.1.3.1. Microwave (3 mm to 0.3 m) | 13 | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic spectrum"
        
        2.1.1.4.1.2.1.2.1.3.2. Radio wave (3 mm to 0.3 m) | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic spectrum"
        
        2.1.1.4.1.2.1.2.1.3.3. Visible spectrum (420-680 nm) | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic spectrum"
        
        2.1.1.4.1.2.1.2.1.3.4. X-ray | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic spectrum"
        
        2.1.1.4.1.2.1.2.2. Photon spin | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.3. Radiation pressure | 0, 35, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.3.1. Nichols radiometer | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Radiation pressure"
        
        2.1.1.4.1.2.1.2.3.2. Solar sail | 26 | 🔗 link | 🗖 nosplit | ↑ parent "Radiation pressure"
        
        2.1.1.4.1.2.1.2.4. Single photon production and detection experiments | 158, 862, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.4.1. Spontaneous parametric down-conversion (SPDC) | 378 | 🔗 link | 🗖 nosplit | ↑ parent "Single photon production and detection experiments"
        
        2.1.1.4.1.2.1.2.4.2. Two photon interference experiment | 238 | 🔗 link | 🗖 nosplit | ↑ parent "Single photon production and detection experiments"
        
        2.1.1.4.1.2.1.2.4.3. Photomultiplier | 0, 88, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Single photon production and detection experiments"
        
        2.1.1.4.1.2.1.2.4.3.1. Photomultiplier tube | 56 | 🔗 link | 🗖 nosplit | ↑ parent "Photomultiplier"
        
        2.1.1.4.1.2.1.2.4.3.2. Silicon photomultiplier | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Photomultiplier"
        
        2.1.1.4.1.2.1.2.5. Squeezed state of light | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.6. Optics | 43, 992, 23 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.6.1. Beam splitter | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.1.1. Half-silvered mirror | 🔗 link | 🗖 nosplit | ↑ parent "Beam splitter"
        
        2.1.1.4.1.2.1.2.6.2. Camera obscura | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.3. Collimator | 0, 50, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.3.1. Collimated beam | 0, 50, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Collimator"
        
        2.1.1.4.1.2.1.2.6.3.1.1. Parallel light | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Collimated beam"
        
        2.1.1.4.1.2.1.2.6.4. Diffraction grating | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.5. Diaphragm (optics) | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.6. Lens | 16, 289, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.6.1. Biconvex spherical lens | 235, 273, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lens"
        
        2.1.1.4.1.2.1.2.6.6.1.1. Focal length (f) | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Biconvex spherical lens"
        
        2.1.1.4.1.2.1.2.6.7. Optical cavity | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.8. Point light source | 13 | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.9. Photonics | 30, 597, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Optics"
        
        2.1.1.4.1.2.1.2.6.9.1. Photon polarization | 183, 221, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics"
        
        2.1.1.4.1.2.1.2.6.9.1.1. Polarizer | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Photon polarization"
        
        2.1.1.4.1.2.1.2.6.9.2. Poincare sphere | 90 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics"
        
        2.1.1.4.1.2.1.2.6.9.3. Photonics equipment | 27, 256, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics"
        
        2.1.1.4.1.2.1.2.6.9.3.1. Interferometer | 0, 143, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics equipment"
        
        2.1.1.4.1.2.1.2.6.9.3.1.1. Fabry–Pérot interferometer | 143 | 🔗 link | 🗖 nosplit | ↑ parent "Interferometer"
        
        2.1.1.4.1.2.1.2.6.9.3.2. Optical fibre | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics equipment"
        
        2.1.1.4.1.2.1.2.6.9.3.3. Optical table | 45 | 🔗 link | 🗖 nosplit | ↑ parent "Photonics equipment"
        
        2.1.1.4.1.2.1.2.6.9.3.4. Optical ring resonator | 🔗 link | 🗖 nosplit | ↑ parent "Photonics equipment"
        
        2.1.1.4.1.2.1.2.7. Fluorescence | 0, 29, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Photon"
        
        2.1.1.4.1.2.1.2.7.1. Fluorometer | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Fluorescence"
        
        2.1.1.4.1.2.1.3. Electron | 11, 137, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Elementary particle"
        
        2.1.1.4.1.2.1.3.1. Elementary charge | 32, 126, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Electron"
        
        2.1.1.4.1.2.1.3.1.1. Oil drop experiment | 94 | 🔗 link | 🗖 nosplit | ↑ parent "Elementary charge"
        
        2.1.1.4.1.2.1.3.2. Positron | 🔗 link | 🗖 nosplit | ↑ parent "Electron"
        
        2.1.1.4.1.2.1.4. Neutrino | 37, 37, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Elementary particle"
        
        2.1.1.4.1.2.1.4.1. Cowan-Reines neutrino experiment (1956) | 🔗 link | 🗖 nosplit | ↑ parent "Neutrino"
        
        2.1.1.4.1.2.2. Eightfold way (physics) | 61 | 🔗 link | 🗖 nosplit | ↑ parent "Subatomic particle"
        
        2.1.1.4.1.3. Why do symmetries such as SU(3), SU(2) and U(1) matter in particle physics? | 437 | 🔗 link | 🗖 nosplit | ↑ parent "Standard Model"
        
        2.1.1.4.2. Maxwell's equations | 411, 1k, 23 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.2.1. Lorentz force | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.2. Explicit scalar form of the Maxwell's equations | 95, 243, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.2.1. Overdetermination of Maxwell's equations | 148 | 🔗 link | 🗖 nosplit | ↑ parent "Explicit scalar form of the Maxwell's equations"
        
        2.1.1.4.2.3. Coulomb's law | 85 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.4. Solutions of Maxwell's equations | 48, 48, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.4.1. Dipole antenna | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of Maxwell's equations"
        
        2.1.1.4.2.5. Maxwell's equations in 2D | 49 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.6. Existence and uniqueness of solutions to Maxwell's equations | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.7. Electric field ( $E$ ) | 0, 25, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.7.1. Electric charge | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Electric field"
        
        2.1.1.4.2.7.1.1. Charge conservation | 🔗 link | 🗖 nosplit | ↑ parent "Electric charge"
        
        2.1.1.4.2.7.2. Electric potential ( $ϕ$ ) | 0, 25, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Electric field"
        
        2.1.1.4.2.7.2.1. Volt (V) | 0, 25, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Electric potential"
        
        2.1.1.4.2.7.2.1.1. Electronvolt | 25 | 🔗 link | 🗖 nosplit | ↑ parent "Volt"
        
        2.1.1.4.2.8. Magnetic field ( $B$ ) | 0, 16, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.8.1. Magnetometer | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Magnetic field"
        
        2.1.1.4.2.8.2. Magnetic vector potential ( $A$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Magnetic field"
        
        2.1.1.4.2.9. Hall effect | 69 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.10. Electromagnetic four-potential | 49, 120, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.2.10.1. Electromagnetic tensor | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic four-potential"
        
        2.1.1.4.2.10.2. Four-current | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic four-potential"
        
        2.1.1.4.2.10.3. Lorentz gauge | 71 | 🔗 link | 🗖 nosplit | ↑ parent "Electromagnetic four-potential"
        
        2.1.1.4.2.11. Electromagnetism | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations"
        
        2.1.1.4.3. Theory of relativity | 0, 3k, 35 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.3.1. Special relativity | 260, 3k, 29 | 🔗 link | 🗖 nosplit | ↑ parent "Theory of relativity"
        
        2.1.1.4.3.1.1. Einstein notation (Einstein summation convention) | 54 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.2. Einstein synchronization | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.2.1. Frame of reference | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Einstein synchronization"
        
        2.1.1.4.3.1.2.1.1. Inertial frame of reference | 🔗 link | 🗖 nosplit | ↑ parent "Frame of reference"
        
        2.1.1.4.3.1.3. Lorentz transformation | 226, 1k, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.3.1. Lorentz transform consequence: everyone sees the same speed of light | 313 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz transformation"
        
        2.1.1.4.3.1.3.2. Length contraction | 371, 407, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz transformation"
        
        2.1.1.4.3.1.3.2.1. Terrell rotation | 36 | 🔗 link | 🗖 nosplit | ↑ parent "Length contraction"
        
        2.1.1.4.3.1.3.3. Time dilation | 20, 242, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz transformation"
        
        2.1.1.4.3.1.3.3.1. Transversal time dilation | 222 | 🔗 link | 🗖 nosplit | ↑ parent "Time dilation"
        
        2.1.1.4.3.1.3.3.2. Transverse Doppler effect | 🔗 link | 🗖 nosplit | ↑ parent "Time dilation"
        
        2.1.1.4.3.1.3.4. Twin paradox | 287 | 🔗 link | 🗖 nosplit | ↑ parent "Lorentz transformation"
        
        2.1.1.4.3.1.4. Maxwell's equations require special relativity | 136, 367, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.4.1. Charged particle moving at the same speed of electrons thought experiment | 188 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations require special relativity"
        
        2.1.1.4.3.1.4.2. Covariant formulation of classical electromagnetism | 0, 43, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Maxwell's equations require special relativity"
        
        2.1.1.4.3.1.4.2.1. Maxwell's equations are Lorentz invariant | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Covariant formulation of classical electromagnetism"
        
        2.1.1.4.3.1.4.2.2. Maxwell's equations imply that the speed of light is the same for all inertial reference frames | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Covariant formulation of classical electromagnetism"
        
        2.1.1.4.3.1.4.2.3. Maxwell Lagrangian | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Covariant formulation of classical electromagnetism"
        
        2.1.1.4.3.1.5. Spacetime | 0, 362, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.5.1. Four-vector | 🔗 link | 🗖 nosplit | ↑ parent "Spacetime"
        
        2.1.1.4.3.1.5.2. Four-gradient | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Spacetime"
        
        2.1.1.4.3.1.5.3. Minkowski space | 🔗 link | 🗖 nosplit | ↑ parent "Spacetime"
        
        2.1.1.4.3.1.5.4. Spacetime diagram | 60, 324, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Spacetime"
        
        2.1.1.4.3.1.5.4.1. Light cone | 199, 264, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Spacetime diagram"
        
        2.1.1.4.3.1.5.4.1.1. Timelike-separated event | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Light cone"
        
        2.1.1.4.3.1.5.4.1.2. Spacelike-separated event | 55 | 🔗 link | 🗖 nosplit | ↑ parent "Light cone"
        
        2.1.1.4.3.1.6. Relativistic mechanics | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Special relativity"
        
        2.1.1.4.3.1.6.1. Relativistic energy | 🔗 link | 🗖 nosplit | ↑ parent "Relativistic mechanics"
        
        2.1.1.4.3.1.6.2. Mass-energy equivalence ( $E = m c^{2}$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Relativistic mechanics"
        
        2.1.1.4.3.2. General relativity | 45, 85, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Theory of relativity"
        
        2.1.1.4.3.2.1. Why gravity is not a force? | 14 | 🔗 link | 🗖 nosplit | ↑ parent "General relativity"
        
        2.1.1.4.3.2.2. Gravity | 26, 26, 2 | 🔗 link | 🗖 nosplit | ↑ parent "General relativity"
        
        2.1.1.4.3.2.2.1. Experiments that measure the gravitational constant | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Gravity"
        
        2.1.1.4.3.2.2.1.1. Cavendish experiment | 🔗 link | 🗖 nosplit | ↑ parent "Experiments that measure the gravitational constant"
        
        2.1.1.4.4. Applications of particle physics | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.5. Quantum mechanics | 170, 15k, 217 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.5.1. Quantum mechanics experiments | 34, 2k, 21 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.1.1. Emission spectrum | 0, 838, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics experiments"
        
        2.1.1.4.5.1.1.1. Spectral line | 158, 838, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Emission spectrum"
        
        2.1.1.4.5.1.1.1.1. NIST Atomic Spectra Database | 140 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.1.1.2. Hydrogen emission spectrum | 78 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.1.1.3. Rydberg formula | 0, 26, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.1.1.3.1. Balmer series | 26 | 🔗 link | 🗖 nosplit | ↑ parent "Rydberg formula"
        
        2.1.1.4.5.1.1.1.4. Fine structure | 60 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.1.1.5. Hyperfine structure | 68 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.1.1.6. Zeeman effect | 308 | 🔗 link | 🗖 nosplit | ↑ parent "Spectral line"
        
        2.1.1.4.5.1.2. Double-slit experiment | 93, 446, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics experiments"
        
        2.1.1.4.5.1.2.1. Single particle double slit experiment | 335 | 🔗 link | 🗖 nosplit | ↑ parent "Double-slit experiment"
        
        2.1.1.4.5.1.2.2. Are particles bounced by the first wall in the double slit experiment? | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Double-slit experiment"
        
        2.1.1.4.5.1.3. Black-body radiation experiment | 33, 460, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics experiments"
        
        2.1.1.4.5.1.3.1. Planck's law | 104, 427, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Black-body radiation experiment"
        
        2.1.1.4.5.1.3.1.1. Planck-Einstein relation | 76 | 🔗 link | 🗖 nosplit | ↑ parent "Planck's law"
        
        2.1.1.4.5.1.3.1.2. Planck constant (h) | 163, 247, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Planck's law"
        
        2.1.1.4.5.1.3.1.2.1. de Broglie relations | 84 | 🔗 link | 🗖 nosplit | ↑ parent "Planck constant"
        
        2.1.1.4.5.1.4. Quantum Hall effect | 74, 74, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics experiments"
        
        2.1.1.4.5.1.4.1. Fractional quantum Hall effect | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum Hall effect"
        
        2.1.1.4.5.1.4.1.1. Fractional quantum Hall effect 5/2 | 🔗 link | 🗖 nosplit | ↑ parent "Fractional quantum Hall effect"
        
        2.1.1.4.5.1.4.2. Spin Hall effect | 🔗 link | 🗖 nosplit | ↑ parent "Quantum Hall effect"
        
        2.1.1.4.5.2. Quantum mechanics bibliography | 0, 191, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.2.1. MIT 8.06 Quantum Physics III, Spring 2018 by Barton Zwiebach | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics bibliography"
        
        2.1.1.4.5.2.2. Applications of Quantum Mechanics by David Tong (2017) | 25 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics bibliography"
        
        2.1.1.4.5.2.3. Quantum Mechanics for Engineers by Leon van Dommelen (2011) | 91 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics bibliography"
        
        2.1.1.4.5.2.4. Quantum physics by Jim Branson (2003) | 25 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics bibliography"
        
        2.1.1.4.5.3. Mathematical formulation of quantum mechanics | 440, 964, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.3.1. Born rule | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.3.2. Bra-ket notation | 472 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.3.3. Dirac-von Neumann axioms | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.3.4. Linearity of quantum mechanics | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.3.5. Observable | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.3.6. Phase-space formulation | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum mechanics"
        
        2.1.1.4.5.4. Non-relativistic quantum mechanics | 26, 3k, 56 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.4.1. Schrodinger equation | 167, 3k, 52 | 🔗 link | 🗖 nosplit | ↑ parent "Non-relativistic quantum mechanics"
        
        2.1.1.4.5.4.1.1. Time-independent Schrodinger equation | 214 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.2. Derivation of the Schrodinger equation | 91, 136, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.2.1. Why are complex numbers used in the Schrodinger equation? | 45 | 🔗 link | 🗖 nosplit | ↑ parent "Derivation of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3. Solutions of the Schrodinger equation | 32, 2k, 32 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.3.1. Schrodinger equation simulations | 267, 334, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.1.1. Why it is hard to simulate quantum systems? | 67 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation simulations"
        
        2.1.1.4.5.4.1.3.2. Schrodinger equation solution for a free particle | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.3. Particle in a box | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.4. Quantum harmonic oscillator | 215, 293, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.4.1. Hermite polynomials | 30, 30, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum harmonic oscillator"
        
        2.1.1.4.5.4.1.3.4.1.1. Hermite functions | 🔗 link | 🗖 nosplit | ↑ parent "Hermite polynomials"
        
        2.1.1.4.5.4.1.3.4.2. Ladder operator | 48 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum harmonic oscillator"
        
        2.1.1.4.5.4.1.3.5. Quantum tunnelling | 36 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.6. Schrodinger equation solution for the hydrogen atom | 159, 372, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.6.1. Atomic orbital | 78, 213, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation solution for the hydrogen atom"
        
        2.1.1.4.5.4.1.3.6.1.1. Principal quantum number (n) | 71 | 🔗 link | 🗖 nosplit | ↑ parent "Atomic orbital"
        
        2.1.1.4.5.4.1.3.6.1.2. Azimuthal quantum number (l) | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Atomic orbital"
        
        2.1.1.4.5.4.1.3.6.1.3. Magnetic quantum number (m_l) | 52 | 🔗 link | 🗖 nosplit | ↑ parent "Atomic orbital"
        
        2.1.1.4.5.4.1.3.7. Solutions for the Schrodinger equation with multiple particles | 20, 603, 14 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.7.1. Solutions of the Schrodinger equation for two electrons | 166 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions for the Schrodinger equation with multiple particles"
        
        2.1.1.4.5.4.1.3.7.2. Schrodinger equation solution for the helium atom | 95 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions for the Schrodinger equation with multiple particles"
        
        2.1.1.4.5.4.1.3.7.3. Hartree-Fock method | 0, 271, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions for the Schrodinger equation with multiple particles"
        
        2.1.1.4.5.4.1.3.7.3.1. Hartree-Fock method for the helium atom | 🔗 link | 🗖 nosplit | ↑ parent "Hartree-Fock method"
        
        2.1.1.4.5.4.1.3.7.3.2. Why do multiple electrons occupy the same orbital if electrons repel each other? | 85 | 🔗 link | 🗖 nosplit | ↑ parent "Hartree-Fock method"
        
        2.1.1.4.5.4.1.3.7.3.3. Aufbau principle | 34, 186, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Hartree-Fock method"
        
        2.1.1.4.5.4.1.3.7.3.3.1. Madelung energy ordering rule | 152, 152, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Aufbau principle"
        
        2.1.1.4.5.4.1.3.7.3.3.1.1. Exception to the Madelung energy ordering rule | 🔗 link | 🗖 nosplit | ↑ parent "Madelung energy ordering rule"
        
        2.1.1.4.5.4.1.3.7.4. Schrodinger equation solution for molecule | 0, 51, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions for the Schrodinger equation with multiple particles"
        
        2.1.1.4.5.4.1.3.7.4.1. Schrodinger equation solution for the hydrogen molecule | 51 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation solution for molecule"
        
        2.1.1.4.5.4.1.3.7.4.2. Chemical bond | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation solution for molecule"
        
        2.1.1.4.5.4.1.3.7.4.2.1. Covalent bond | 🔗 link | 🗖 nosplit | ↑ parent "Chemical bond"
        
        2.1.1.4.5.4.1.3.7.4.2.2. Ionic bond | 🔗 link | 🗖 nosplit | ↑ parent "Chemical bond"
        
        2.1.1.4.5.4.1.3.7.4.2.3. Octet rule | 🔗 link | 🗖 nosplit | ↑ parent "Chemical bond"
        
        2.1.1.4.5.4.1.3.8. Two-state quantum system | 55, 93, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Schrodinger equation"
        
        2.1.1.4.5.4.1.3.8.1. Bloch sphere | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Two-state quantum system"
        
        2.1.1.4.5.4.1.3.8.2. Pauli matrix | 🔗 link | 🗖 nosplit | ↑ parent "Two-state quantum system"
        
        2.1.1.4.5.4.1.4. Born-Oppenheimer approximation | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.5. Uncertainty principle | 263, 754, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.5.1. Position and momentum space | 106, 213, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Uncertainty principle"
        
        2.1.1.4.5.4.1.5.1.1. Position representation | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Position and momentum space"
        
        2.1.1.4.5.4.1.5.1.2. Position operator | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Position and momentum space"
        
        2.1.1.4.5.4.1.5.1.3. Momentum operator | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Position and momentum space"
        
        2.1.1.4.5.4.1.5.1.4. Squeezed coherent state | 🔗 link | 🗖 nosplit | ↑ parent "Position and momentum space"
        
        2.1.1.4.5.4.1.5.2. Energy operator | 24, 52, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Uncertainty principle"
        
        2.1.1.4.5.4.1.5.2.1. Time-energy uncertainty principle | 28 | 🔗 link | 🗖 nosplit | ↑ parent "Energy operator"
        
        2.1.1.4.5.4.1.5.3. Angular momentum operator | 217, 226, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Uncertainty principle"
        
        2.1.1.4.5.4.1.5.3.1. Total angular momentum operator | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Angular momentum operator"
        
        2.1.1.4.5.4.1.5.4. Complementarity (physics) | 🔗 link | 🗖 nosplit | ↑ parent "Uncertainty principle"
        
        2.1.1.4.5.4.1.6. Conservation laws in Schrodinger equations | 18, 66, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.6.1. Conservation of the square amplitude in the Schrodinger equation | 48 | 🔗 link | 🗖 nosplit | ↑ parent "Conservation laws in Schrodinger equations"
        
        2.1.1.4.5.4.1.7. Wave function ( $ψ$ ) | 107, 107, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Schrodinger equation"
        
        2.1.1.4.5.4.1.7.1. Matter wave | 🔗 link | 🗖 nosplit | ↑ parent "Wave function"
        
        2.1.1.4.5.4.2. Equivalent alternatives to the Schrodinger equation | 6, 81, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Non-relativistic quantum mechanics"
        
        2.1.1.4.5.4.2.1. Matrix mechanics | 72 | 🔗 link | 🗖 nosplit | ↑ parent "Equivalent alternatives to the Schrodinger equation"
        
        2.1.1.4.5.4.2.2. De Broglie-Bohm theory | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Equivalent alternatives to the Schrodinger equation"
        
        2.1.1.4.5.5. Relativistic quantum mechanics | 95, 8k, 116 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.5.1. Dirac equation | 325, 2k, 28 | 🔗 link | 🗖 nosplit | ↑ parent "Relativistic quantum mechanics"
        
        2.1.1.4.5.5.1.1. Spontaneous emission | 85 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.2. The Dirac equation predicts spin | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.3. Antimatter | 43 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.4. Particle creation and annihilation | 131, 155, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.4.1. Particle decay | 12, 12, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Particle creation and annihilation"
        
        2.1.1.4.5.5.1.4.1.1. Pair production | 🔗 link | 🗖 nosplit | ↑ parent "Particle decay"
        
        2.1.1.4.5.5.1.4.2. Relativistic particle in a box thought experiment | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Particle creation and annihilation"
        
        2.1.1.4.5.5.1.5. The Dirac equation is consistent with special relativity | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.6. Derivation of the Dirac equation | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.7. Pauli equation | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.8. Klein-Gordon equation | 190, 443, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.8.1. Derivation of the Klein-Gordon | 253 | 🔗 link | 🗖 nosplit | ↑ parent "Klein-Gordon equation"
        
        2.1.1.4.5.5.1.9. Solutions of the Dirac equation | 112, 227, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.9.1. Dirac equation solution for the hydrogen atom | 115 | 🔗 link | 🗖 nosplit | ↑ parent "Solutions of the Dirac equation"
        
        2.1.1.4.5.5.1.10. Spin (physics) | 227, 551, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.1.10.1. Spin experiments | 46, 86, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Spin"
        
        2.1.1.4.5.5.1.10.1.1. Stern-Gerlach experiment | 40 | 🔗 link | 🗖 nosplit | ↑ parent "Spin experiments"
        
        2.1.1.4.5.5.1.10.1.2. Spintronics | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Spin experiments"
        
        2.1.1.4.5.5.1.10.1.2.1. Giant magnetoresistance | 🔗 link | 🗖 nosplit | ↑ parent "Spintronics"
        
        2.1.1.4.5.5.1.10.2. Spin number of a field | 28, 102, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Spin"
        
        2.1.1.4.5.5.1.10.2.1. Why is the spin of the electron half? | 74 | 🔗 link | 🗖 nosplit | ↑ parent "Spin number of a field"
        
        2.1.1.4.5.5.1.10.3. Pauli exclusion principle | 80, 108, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Spin"
        
        2.1.1.4.5.5.1.10.3.1. Fermion | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Pauli exclusion principle"
        
        2.1.1.4.5.5.1.10.3.1.1. Boson | 🔗 link | 🗖 nosplit | ↑ parent "Fermion"
        
        2.1.1.4.5.5.1.10.3.2. Spin-statistics theorem | 28 | 🔗 link | 🗖 nosplit | ↑ parent "Pauli exclusion principle"
        
        2.1.1.4.5.5.1.10.3.3. Electron degeneracy pressure | 🔗 link | 🗖 nosplit | ↑ parent "Pauli exclusion principle"
        
        2.1.1.4.5.5.1.10.4. Nuclear spin | 28 | 🔗 link | 🗖 nosplit | ↑ parent "Spin"
        
        2.1.1.4.5.5.1.11. Dirac Lagrangian | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Dirac equation"
        
        2.1.1.4.5.5.2. Quantum field theory (QFT) | 259, 6k, 86 | 🔗 link | 🗖 nosplit | ↑ parent "Relativistic quantum mechanics"
        
        2.1.1.4.5.5.2.1. Quantum field | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.2. Mathematical formulation of quantum field theory | 115, 1k, 17 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.2.1. Gauge theory | 0, 102, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum field theory"
        
        2.1.1.4.5.5.2.2.1.1. Gauge field | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Gauge theory"
        
        2.1.1.4.5.5.2.2.1.2. Gauge symmetry | 78 | 🔗 link | 🗖 nosplit | ↑ parent "Gauge theory"
        
        2.1.1.4.5.5.2.2.2. Fock space | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum field theory"
        
        2.1.1.4.5.5.2.2.3. Second quantization | 141 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum field theory"
        
        2.1.1.4.5.5.2.2.4. Path integral formulation | 138, 202, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum field theory"
        
        2.1.1.4.5.5.2.2.4.1. Quantum particles take all possible paths | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Path integral formulation"
        
        2.1.1.4.5.5.2.2.4.2. Propagator | 🔗 link | 🗖 nosplit | ↑ parent "Path integral formulation"
        
        2.1.1.4.5.5.2.2.4.3. Infinitely many slits thought experiment | 34 | 🔗 link | 🗖 nosplit | ↑ parent "Path integral formulation"
        
        2.1.1.4.5.5.2.2.5. Renormalization | 76, 493, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematical formulation of quantum field theory"
        
        2.1.1.4.5.5.2.2.5.1. Mass renormalization | 🔗 link | 🗖 nosplit | ↑ parent "Renormalization"
        
        2.1.1.4.5.5.2.2.5.2. Renormalization group | 🔗 link | 🗖 nosplit | ↑ parent "Renormalization"
        
        2.1.1.4.5.5.2.2.5.3. Cutoff energy | 🔗 link | 🗖 nosplit | ↑ parent "Renormalization"
        
        2.1.1.4.5.5.2.2.5.4. Effective field theory | 57 | 🔗 link | 🗖 nosplit | ↑ parent "Renormalization"
        
        2.1.1.4.5.5.2.2.5.5. Yang-Mills theory | 0, 360, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Renormalization"
        
        2.1.1.4.5.5.2.2.5.5.1. Yang-Mills existence and mass gap | 360, 360, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Yang-Mills theory"
        
        2.1.1.4.5.5.2.2.5.5.1.1. Wightman axioms | 🔗 link | 🗖 nosplit | ↑ parent "Yang-Mills existence and mass gap"
        
        2.1.1.4.5.5.2.3. Quantum electrodynamics (QED) | 676, 3k, 22 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.3.1. Quantum electrodynamics experiments | 46, 326, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.1.1. Electron magnetic moment | 0, 157, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics experiments"
        
        2.1.1.4.5.5.2.3.1.1.1. Anomalous magnetic dipole moment | 0, 157, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Electron magnetic moment"
        
        2.1.1.4.5.5.2.3.1.1.1.1. Anomalous magnetic dipole moment of the electron | 130, 157, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Anomalous magnetic dipole moment"
        
        2.1.1.4.5.5.2.3.1.1.1.1.1. The Magnetic Moment of the Electron by Kusch and Foley (1948) | 27 | 🔗 link | 🗖 nosplit | ↑ parent "Anomalous magnetic dipole moment of the electron"
        
        2.1.1.4.5.5.2.3.1.2. Dirac equation vs quantum electrodynamics | 123 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics experiments"
        
        2.1.1.4.5.5.2.3.2. Applications of quantum electrodynamics | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.3. Quantum electrodynamics Lagrangian | 40, 307, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.3.1. Derivation of the quantum electrodynamics Lagrangian | 267 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics Lagrangian"
        
        2.1.1.4.5.5.2.3.4. What does it mean that photons are force carriers for electromagnetism? | 375 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.5. Photon field | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.6. Schwinger effect | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.7. Feynman diagram | 129, 136, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.7.1. Feynman diagram solver | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Feynman diagram"
        
        2.1.1.4.5.5.2.3.7.2. Does the exact position of vertices matter in Feynman diagrams? | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Feynman diagram"
        
        2.1.1.4.5.5.2.3.8. Wheeler-Feynman absorber theory | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.9. Cavity quantum electrodynamics | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.9.1. Circuit quantum electrodynamics | 🔗 link | 🗖 nosplit | ↑ parent "Cavity quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.10. Positrons are electrons travelling back in time | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.11. Quantum electrodynamics bibliography | 0, 989, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics"
        
        2.1.1.4.5.5.2.3.11.1. Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979) | 840, 989, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum electrodynamics bibliography"
        
        2.1.1.4.5.5.2.3.11.1.1. Quantum Mechanical View of Reality by Richard Feynman (1983) | 149 | 🔗 link | 🗖 nosplit | ↑ parent "Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979)"
        
        2.1.1.4.5.5.2.4. Weak interaction | 131, 181, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.4.1. Electroweak interaction | 🔗 link | 🗖 nosplit | ↑ parent "Weak interaction"
        
        2.1.1.4.5.5.2.4.2. CP Violation | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Weak interaction"
        
        2.1.1.4.5.5.2.4.3. Strong CP problem | 🔗 link | 🗖 nosplit | ↑ parent "Weak interaction"
        
        2.1.1.4.5.5.2.5. Quantum chromodynamics (QCD) | 93, 226, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.5.1. Quark | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.5.2. Gluon | 49, 49, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.5.2.1. Glueball | 🔗 link | 🗖 nosplit | ↑ parent "Gluon"
        
        2.1.1.4.5.5.2.5.3. Proton decay | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.5.4. Strong interaction | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.5.5. Color charge | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.5.6. Color confinement | 81 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chromodynamics"
        
        2.1.1.4.5.5.2.6. Quantum field theory simulations | 93 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.7. Infinities in quantum field theory | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.8. Quantum field theory bibliography | 32, 1k, 29 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory"
        
        2.1.1.4.5.5.2.8.1. Quantum field theory lecture notes | 65, 210, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory bibliography"
        
        2.1.1.4.5.5.2.8.1.1. An Introduction to QED and QCD by Jeff Forshaw (1997) | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture notes"
        
        2.1.1.4.5.5.2.8.1.2. Quantum Field Theory lecture notes by David Tong (2007) | 39 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture notes"
        
        2.1.1.4.5.5.2.8.1.3. Quantum Field Theory book by Mark Srednicki (2006) | 92 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture notes"
        
        2.1.1.4.5.5.2.8.2. Quantum field theory lectures | 0, 816, 17 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory bibliography"
        
        2.1.1.4.5.5.2.8.2.1. Relativistic Quantum Mechanics by Apoorva D Patel (2014) | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lectures"
        
        2.1.1.4.5.5.2.8.2.2. New Revolutions in Particle Physics by Leonard Susskind (2009) | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lectures"
        
        2.1.1.4.5.5.2.8.2.3. David Tong's 2009 Quantum Field Theory lectures at the Perimeter Institute | 48, 50, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lectures"
        
        2.1.1.4.5.5.2.8.2.3.1. Lecture 1 | 2 | 🔗 link | 🗖 nosplit | ↑ parent "David Tong's 2009 Quantum Field Theory lectures at the Perimeter Institute"
        
        2.1.1.4.5.5.2.8.2.4. Quantum field theory courses by Tobias Osborne | 0, 738, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lectures"
        
        2.1.1.4.5.5.2.8.2.4.1. Quantum field theory lecture by Tobias Osborne (2017) | 66, 696, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory courses by Tobias Osborne"
        
        2.1.1.4.5.5.2.8.2.4.1.1. Lecture 1 | 246 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.2. Lecture 2 | 108 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.3. Lecture 3 | 163 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.4. Lecture 4 | 80 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.5. Lecture 5 | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.6. Lecture 8 | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.7. Lecture 9 | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.8. Lecture 14 | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.1.9. Lecture 15 | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.2.4.2. Advanced quantum field theory lecture by Tobias Osborne (2017) | 37, 42, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory courses by Tobias Osborne"
        
        2.1.1.4.5.5.2.8.2.4.2.1. Lecture 2 | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Advanced quantum field theory lecture by Tobias Osborne (2017)"
        
        2.1.1.4.5.5.2.8.3. Quantum field theory book | 0, 178, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory bibliography"
        
        2.1.1.4.5.5.2.8.3.1. An Introduction To Quantum Field Theory by Peskin and Schroeder (1995) | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.5.2.8.3.2. No-Nonsense Quantum Field Theory: A Student-Friendly Introduction by Jakob Schwichtenberg (2020) | 62 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.5.2.8.3.3. Student Friendly Quantum Field Theory by Robert D Klauber (2013) | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.5.2.8.3.4. Problem Book in Quantum Field Theory by Voja Radovanovic (2008) | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.5.2.8.3.5. Quantum Field Theory for The Gifted Amateur by Tom Lancaster (2015) | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.5.2.8.3.6. Quantum field theory in a nutshell by Anthony Zee (2010) | 78 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum field theory book"
        
        2.1.1.4.5.6. Quantization (physics) | 16, 67, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.6.1. Quantization of a real scalar field | 51 | 🔗 link | 🗖 nosplit | ↑ parent "Quantization"
        
        2.1.1.4.5.7. Quantum superposition | 189 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.8. Quantum entanglement | 546, 595, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum mechanics"
        
        2.1.1.4.5.8.1. Bell's theorem | 15, 49, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum entanglement"
        
        2.1.1.4.5.8.1.1. Bell test experiment | 34, 34, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Bell's theorem"
        
        2.1.1.4.5.8.1.1.1. Loopholes in Bell test experiments | 🔗 link | 🗖 nosplit | ↑ parent "Bell test experiment"
        
        2.1.1.4.5.8.1.2. Local hidden-variable theory | 🔗 link | 🗖 nosplit | ↑ parent "Bell's theorem"
        
        2.1.1.4.5.8.1.3. EPR paradox | 🔗 link | 🗖 nosplit | ↑ parent "Bell's theorem"
        
        2.1.1.4.6. Particle physics bibliography | 22, 602, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.6.1. PBS Space Time | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics bibliography"
        
        2.1.1.4.6.2. 2011 PHYS 485 lecture videos by Roger Moore from the University of Alberta | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics bibliography"
        
        2.1.1.4.6.3. Particle physics YouTube channels | 2, 532, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics bibliography"
        
        2.1.1.4.6.3.1. Andrew Dotson YouTube channel | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.6.3.2. Dietterich Labs | 269 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.6.3.3. Pretty Much Physics | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.6.3.4. ViaScience | 84 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.6.3.5. Physics Videos by Eugene Khutoryansky | 78 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.6.3.6. Don Lincoln | 46 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics YouTube channels"
        
        2.1.1.4.7. Nuclear physics | 28, 828, 26 | 🔗 link | 🗖 nosplit | ↑ parent "Particle physics"
        
        2.1.1.4.7.1. Radioactive decay | 51, 365, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear physics"
        
        2.1.1.4.7.1.1. Alpha decay | 158, 158, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Radioactive decay"
        
        2.1.1.4.7.1.1.1. Cluster decay | 🔗 link | 🗖 nosplit | ↑ parent "Alpha decay"
        
        2.1.1.4.7.1.1.2. Spontaneous fission | 🔗 link | 🗖 nosplit | ↑ parent "Alpha decay"
        
        2.1.1.4.7.1.1.3. Alpha particle | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Alpha decay"
        
        2.1.1.4.7.1.1.3.1. Geiger-Nuttall law | 🔗 link | 🗖 nosplit | ↑ parent "Alpha particle"
        
        2.1.1.4.7.1.2. Beta decay | 101 | 🔗 link | 🗖 nosplit | ↑ parent "Radioactive decay"
        
        2.1.1.4.7.1.3. Gamma ray | 47, 47, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Radioactive decay"
        
        2.1.1.4.7.1.3.1. Nuclear isomer | 🔗 link | 🗖 nosplit | ↑ parent "Gamma ray"
        
        2.1.1.4.7.1.4. Decay scheme | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Radioactive decay"
        
        2.1.1.4.7.1.5. Half-life | 🔗 link | 🗖 nosplit | ↑ parent "Radioactive decay"
        
        2.1.1.4.7.2. Isotope | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear physics"
        
        2.1.1.4.7.3. Nuclear fission | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear physics"
        
        2.1.1.4.7.3.1. Fissile material | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear fission"
        
        2.1.1.4.7.3.2. Nuclear chain reaction | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear fission"
        
        2.1.1.4.7.3.2.1. Nuclear reactor | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear chain reaction"
        
        2.1.1.4.7.4. Nuclear magnetic resonance | 0, 13, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear physics"
        
        2.1.1.4.7.4.1. Magnetic resonance imaging (MRI) | 13 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear magnetic resonance"
        
        2.1.1.4.7.5. Nuclear weapon | 201, 422, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear physics"
        
        2.1.1.4.7.5.1. Fat Man | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear weapon"
        
        2.1.1.4.7.5.2. Hanford site | 133 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear weapon"
        
        2.1.1.4.7.5.3. Little Boy | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear weapon"
        
        2.1.1.4.7.5.4. Manhattan Project | 0, 32, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear weapon"
        
        2.1.1.4.7.5.4.1. Chicago Pile-1 (1942-12-02) | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Manhattan Project"
        
        2.1.1.4.7.5.4.2. Trinity (nuclear-test, 1945-07-16) | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Manhattan Project"
        
        2.1.1.4.7.5.5. Multiple independently targetable reentry vehicle (MIRV) | 27 | 🔗 link | 🗖 nosplit | ↑ parent "Nuclear weapon"
      - 2.1.1.5. Energy | 0, 48, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.5.1. Joule (J) | 🔗 link | 🗖 nosplit | ↑ parent "Energy"
        
        2.1.1.5.2. Kinetic energy | 48 | 🔗 link | 🗖 nosplit | ↑ parent "Energy"
      - 2.1.1.6. Field (physics) | 111 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
      - 2.1.1.7. Law of physics | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
      - 2.1.1.8. History of physics | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
      - 2.1.1.9. Condensed matter physics | 25, 1k, 39 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.9.1. Solid-state physics | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.2. Condensed matter Physics bibliography | 20, 31, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.2.1. Course: Quantum Many-Body Physics in Condensed Matter by Luis Gregorio Dias (2020) | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter Physics bibliography"
        
        2.1.1.9.3. Electronic band theory | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.4. Semiconductor | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.5. Superconductivity | 247, 720, 16 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.5.1. Superconducting material | 0, 85, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Superconductivity"
        
        2.1.1.9.5.1.1. Type-I superconductor | 🔗 link | 🗖 nosplit | ↑ parent "Superconducting material"
        
        2.1.1.9.5.1.2. Type-II superconductor | 🔗 link | 🗖 nosplit | ↑ parent "Superconducting material"
        
        2.1.1.9.5.1.3. High-temperature superconductivity | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Superconducting material"
        
        2.1.1.9.5.1.4. Yttrium barium copper oxide (YBCO) | 61 | 🔗 link | 🗖 nosplit | ↑ parent "Superconducting material"
        
        2.1.1.9.5.1.5. Bismuth strontium calcium copper oxide (BSCCO) | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Superconducting material"
        
        2.1.1.9.5.2. Applications of superconductivity | 71 | 🔗 link | 🗖 nosplit | ↑ parent "Superconductivity"
        
        2.1.1.9.5.3. What is the IV curve of superconductors? | 5, 30, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Superconductivity"
        
        2.1.1.9.5.3.1. Do superconductors carry infinite current? | 25 | 🔗 link | 🗖 nosplit | ↑ parent "What is the IV curve of superconductors?"
        
        2.1.1.9.5.4. BCS Theory | 111 | 🔗 link | 🗖 nosplit | ↑ parent "Superconductivity"
        
        2.1.1.9.5.5. Josephson effect | 50, 176, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Superconductivity"
        
        2.1.1.9.5.5.1. Josephson junction | 13 | 🔗 link | 🗖 nosplit | ↑ parent "Josephson effect"
        
        2.1.1.9.5.5.2. Magnetic flux quantum | 0, 12, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Josephson effect"
        
        2.1.1.9.5.5.2.1. Josephson constant | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Magnetic flux quantum"
        
        2.1.1.9.5.5.3. Applications of Josephson Junctions | 63, 101, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Josephson effect"
        
        2.1.1.9.5.5.3.1. SQUID device | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Applications of Josephson Junctions"
        
        2.1.1.9.6. Superconducting tunnel junction (STJ) | 84 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.7. Superfluidity | 65 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.8. Bose-Einstein condensate | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.9. Materials science | 0, 80, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.9.1. Density | 🔗 link | 🗖 nosplit | ↑ parent "Materials science"
        
        2.1.1.9.9.2. Metallurgy | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Materials science"
        
        2.1.1.9.9.2.1. Ingot | 🔗 link | 🗖 nosplit | ↑ parent "Metallurgy"
        
        2.1.1.9.9.3. Quantum dot | 0, 12, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Materials science"
        
        2.1.1.9.9.3.1. Quantum dot single photon source | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum dot"
        
        2.1.1.9.9.4. Magnet | 0, 68, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Materials science"
        
        2.1.1.9.9.4.1. Ferromagnetism | 54 | 🔗 link | 🗖 nosplit | ↑ parent "Magnet"
        
        2.1.1.9.9.4.2. Ising model | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Magnet"
        
        2.1.1.9.9.5. Piezoelectricity | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Materials science"
        
        2.1.1.9.9.5.1. Piezoelectric motor | 🔗 link | 🗖 nosplit | ↑ parent "Piezoelectricity"
        
        2.1.1.9.10. Laser | 74, 74, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
        
        2.1.1.9.10.1. Population inversion | 🔗 link | 🗖 nosplit | ↑ parent "Laser"
        
        2.1.1.9.11. Quasiparticle | 🔗 link | 🗖 nosplit | ↑ parent "Condensed matter physics"
      - 2.1.1.10. Thermodynamics | 0, 310, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.10.1. Entropy | 118 | 🔗 link | 🗖 nosplit | ↑ parent "Thermodynamics"
        
        2.1.1.10.2. Phase transition | 23, 92, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Thermodynamics"
        
        2.1.1.10.2.1. Second-order phase transition | 69 | 🔗 link | 🗖 nosplit | ↑ parent "Phase transition"
        
        2.1.1.10.3. Refrigerator | 0, 52, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Thermodynamics"
        
        2.1.1.10.3.1. Dilution refrigerator | 52 | 🔗 link | 🗖 nosplit | ↑ parent "Refrigerator"
        
        2.1.1.10.4. Temperature | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Thermodynamics"
        
        2.1.1.10.4.1. Thermometer | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Temperature"
        
        2.1.1.10.4.1.1. Mercury-in-glass thermometer | 🔗 link | 🗖 nosplit | ↑ parent "Thermometer"
        
        2.1.1.10.5. Vacuum | 0, 48, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Thermodynamics"
        
        2.1.1.10.5.1. Vacuum engineering | 48 | 🔗 link | 🗖 nosplit | ↑ parent "Vacuum"
      - 2.1.1.11. Mechanics | 14, 2k, 36 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.11.1. Classical mechanics | 18 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.2. Angular momentum | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.2.1. Precession | 🔗 link | 🗖 nosplit | ↑ parent "Angular momentum"
        
        2.1.1.11.3. Axle | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.4. Newton's laws of motion | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.4.1. Force | 🔗 link | 🗖 nosplit | ↑ parent "Newton's laws of motion"
        
        2.1.1.11.5. Mechanics problems | 0, 49, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.5.1. Atwood machine | 0, 32, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics problems"
        
        2.1.1.11.5.1.1. Compound Atwood machine | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Atwood machine"
        
        2.1.1.11.5.2. Elastic collision | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics problems"
        
        2.1.1.11.5.3. Two-body problem | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics problems"
        
        2.1.1.11.5.4. Pendulum | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics problems"
        
        2.1.1.11.5.4.1. Double pendulum | 🔗 link | 🗖 nosplit | ↑ parent "Pendulum"
        
        2.1.1.11.6. Fluid mechanics | 1, 22, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.6.1. Gravity wave | 🔗 link | 🗖 nosplit | ↑ parent "Fluid mechanics"
        
        2.1.1.11.6.2. Navier-Stokes equations | 0, 21, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Fluid mechanics"
        
        2.1.1.11.6.2.1. Navier-Stokes existence and smoothness | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Navier-Stokes equations"
        
        2.1.1.11.7. Lagrangian mechanics | 896, 2k, 18 | 🔗 link | 🗖 nosplit | ↑ parent "Mechanics"
        
        2.1.1.11.7.1. Lagrangian mechanics lectures by Michel van Biezen (2017) | 58 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.2. Action (physics) | 0, 79, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.2.1. Stationary action principle (Principle of least action) | 45, 79, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Action"
        
        2.1.1.11.7.2.1.1. Euler-Lagrange equation | 0, 34, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Stationary action principle"
        
        2.1.1.11.7.2.1.1.1. Equations of motion | 34 | 🔗 link | 🗖 nosplit | ↑ parent "Euler-Lagrange equation"
        
        2.1.1.11.7.3. Lagrangian | 17, 383, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.3.1. Lagrangian (field theory) | 9, 328, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian"
        
        2.1.1.11.7.3.1.1. Lagrangian density | 319 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian (field theory)"
        
        2.1.1.11.7.3.2. Generalized coordinate | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian"
        
        2.1.1.11.7.4. Noether's theorem | 243, 253, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.4.1. Time invariance implies energy conservation | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Noether's theorem"
        
        2.1.1.11.7.5. Spontaneous symmetry breaking | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.6. Hamiltonian mechanics | 78, 215, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.6.1. Lagrangian vs Hamiltonian | 81 | 🔗 link | 🗖 nosplit | ↑ parent "Hamiltonian mechanics"
        
        2.1.1.11.7.6.2. Hamilton's equations | 56 | 🔗 link | 🗖 nosplit | ↑ parent "Hamiltonian mechanics"
        
        2.1.1.11.7.6.3. Poisson bracket | 🔗 link | 🗖 nosplit | ↑ parent "Hamiltonian mechanics"
        
        2.1.1.11.7.7. Equivalence between Lagrangian and Hamiltonian formalisms | 2, 25, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lagrangian mechanics"
        
        2.1.1.11.7.7.1. Legendre transformation | 23 | 🔗 link | 🗖 nosplit | ↑ parent "Equivalence between Lagrangian and Hamiltonian formalisms"
      - 2.1.1.12. Computational physics | 109, 290, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.12.1. Computational chemistry | 0, 181, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Computational physics"
        
        2.1.1.12.1.1. Quantum chemistry | 133, 149, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Computational chemistry"
        
        2.1.1.12.1.1.1. Relativistic quantum chemistry | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chemistry"
        
        2.1.1.12.1.1.2. Quantum chemistry software | 0, 4, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chemistry"
        
        2.1.1.12.1.1.2.1. PySCF | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chemistry software"
        
        2.1.1.12.1.1.2.2. Psi4 | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum chemistry software"
        
        2.1.1.12.1.2. Quantum computing computational chemistry algorithms | 0, 32, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Computational chemistry"
        
        2.1.1.12.1.2.1. IBM 2017 beryllium hydride ground state calculation on a quantum computer | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Quantum computing computational chemistry algorithms"
      - 2.1.1.13. Physics conference | 0, 202, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.13.1. Solvay Conference (1911) | 🔗 link | 🗖 nosplit | ↑ parent "Physics conference"
        
        2.1.1.13.2. Shelter Island Conference (1947) | 115 | 🔗 link | 🗖 nosplit | ↑ parent "Physics conference"
        
        2.1.1.13.3. Pocono conference (1948) | 87 | 🔗 link | 🗖 nosplit | ↑ parent "Physics conference"
      - 2.1.1.14. Physicist | 17, 2k, 46 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.14.1. Albert Einstein | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.2. Barton Zwiebach | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.3. David Tong | 63 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.4. Ettore Majorana | 23, 23, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.4.1. Majorana fermion | 🔗 link | 🗖 nosplit | ↑ parent "Ettore Majorana"
        
        2.1.1.14.5. Freeman Dyson (1923-2020, God) | 86, 127, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.5.1. Freeman Dyson Web of Stories interview (1998) | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Freeman Dyson"
        
        2.1.1.14.6. Isidor Isaac Rabi | 63 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.7. Jakob Schwichtenberg | 46, 93, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.7.1. Physics Travel Guide | 47 | 🔗 link | 🗖 nosplit | ↑ parent "Jakob Schwichtenberg"
        
        2.1.1.14.8. John Archibald Wheeler | 43 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.9. John Bardeen | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.10. John von Neumann | 53 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.11. Julian Schwinger | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.12. Karl Guthe Jansky | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.13. Leonard Susskind | 22, 28, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.13.1. Lectures by Leonard Susskind | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Leonard Susskind"
        
        2.1.1.14.14. Hans Bethe | 126 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.15. Hermann Weyl (1885-1955) | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.16. Marie Curie | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.17. Michio Kaku | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.18. Murray Gell-Mann | 21 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.19. Niels Bohr (1885-1962) | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.20. Richard Feynman | 459, 1k, 11 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.20.1. Arline Greenbaum, | 94 | 🔗 link | 🗖 nosplit | ↑ parent "Richard Feynman"
        
        2.1.1.14.20.2. Richars Feynman's firs seminar in 1941 | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Richard Feynman"
        
        2.1.1.14.20.3. Works by Richard Feynman | 6, 22, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Richard Feynman"
        
        2.1.1.14.20.3.1. Space-Time Approach to Quantum Electrodynamic by Richard Feynman (1949) | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Works by Richard Feynman"
        
        2.1.1.14.20.4. Works about Richard Feynman | 0, 441, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Richard Feynman"
        
        2.1.1.14.20.4.1. Genius: Richard Feynman and Modern Physics by James Gleick (1994) | 133 | 🔗 link | 🗖 nosplit | ↑ parent "Works about Richard Feynman"
        
        2.1.1.14.20.4.2. Los Alamos From Below by Richard Feynman (1975) | 145 | 🔗 link | 🗖 nosplit | ↑ parent "Works about Richard Feynman"
        
        2.1.1.14.20.4.3. Surely You're Joking, Mr. Feynman | 0, 163, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Works about Richard Feynman"
        
        2.1.1.14.20.4.3.1. Surely You're Joking, Mr. Feynman chapter O Americano, Outra Vez! | 87 | 🔗 link | 🗖 nosplit | ↑ parent "Surely You're Joking, Mr. Feynman"
        
        2.1.1.14.20.4.3.2. Surely You're Joking, Mr. Feynman chapter Alfred Nobel's Other Mistake | 26, 76, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Surely You're Joking, Mr. Feynman"
        
        2.1.1.14.20.4.3.2.1. Rich people who create charitable prizes are often crooked | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Surely You're Joking, Mr. Feynman chapter Alfred Nobel's Other Mistake"
        
        2.1.1.14.21. Paul Dirac | 59 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.22. Pieter Zeeman | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.23. Polykarp Kusch | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.24. Sean M. Carroll | 60, 62, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.24.1. How To Get Tenure at a Major Research University by Sean Carroll (2011) | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Sean M. Carroll"
        
        2.1.1.14.25. Stephen Hawking | 123 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.26. Tobias J. Osborne | 31 | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.27. Walter Houser Brattain | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.28. Werner Heisenberg | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.29. William Shockley | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
        
        2.1.1.14.30. Willis Lamb | 🔗 link | 🗖 nosplit | ↑ parent "Physicist"
      - 2.1.1.15. Philosophy of Science | 0, 773, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.15.1. Never trust an experiment that is not supported by a good theory | 64 | 🔗 link | 🗖 nosplit | ↑ parent "Philosophy of Science"
        
        2.1.1.15.2. Physics and the illusion of life | 243, 697, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Philosophy of Science"
        
        2.1.1.15.2.1. Animations of molecular biology processes | 235 | 🔗 link | 🗖 nosplit | ↑ parent "Physics and the illusion of life"
        
        2.1.1.15.2.2. Alan Watts controlled dream of life talk | 167 | 🔗 link | 🗖 nosplit | ↑ parent "Physics and the illusion of life"
        
        2.1.1.15.2.3. Rick and Morty A Life Well Lived | 52 | 🔗 link | 🗖 nosplit | ↑ parent "Physics and the illusion of life"
        
        2.1.1.15.3. Reductionism | 0, 12, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Philosophy of Science"
        
        2.1.1.15.3.1. Emergence | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Reductionism"
      - 2.1.1.16. Unsolved problems in Physics | 111 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
      - 2.1.1.17. Physics bibliography | 0, 268, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Physics"
        
        2.1.1.17.1. Theoretical Physics Reference by Ondřej Čertík (certik/theoretical-physics) | 56 | 🔗 link | 🗖 nosplit | ↑ parent "Physics bibliography"
        
        2.1.1.17.2. Physics YouTube channel | 9, 212, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Physics bibliography"
        
        2.1.1.17.2.1. Looking Glass Universe | 56 | 🔗 link | 🗖 nosplit | ↑ parent "Physics YouTube channel"
        
        2.1.1.17.2.2. minutephysics | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Physics YouTube channel"
        
        2.1.1.17.2.3. ScienceClic | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Physics YouTube channel"
        
        2.1.1.17.2.4. The Science Asylum | 2, 33, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Physics YouTube channel"
        
        2.1.1.17.2.4.1. Nick Lucid | 31 | 🔗 link | 🗖 nosplit | ↑ parent "The Science Asylum"
        
        2.1.1.17.2.5. Veritasium | 95 | 🔗 link | 🗖 nosplit | ↑ parent "Physics YouTube channel"
    - 2.1.2. Chemistry | 136, 1k, 61 | 🔗 link | 🗖 nosplit | ↑ parent "Natural science"
      - 2.1.2.1. Atomic theory | 75, 152, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.1.1. Brownian motion | 77 | 🔗 link | 🗖 nosplit | ↑ parent "Atomic theory"
      - 2.1.2.2. Atom | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
      - 2.1.2.3. Chemical element | 0, 476, 27 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.3.1. Hydrogen (H, 1) | 0, 55, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.1.1. Water | 🔗 link | 🗖 nosplit | ↑ parent "Hydrogen"
        
        2.1.2.3.1.2. Deuterium (²H) | 0, 55, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Hydrogen"
        
        2.1.2.3.1.2.1. Heavy water | 55, 55, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Deuterium"
        
        2.1.2.3.1.2.1.1. Semiheavy water | 🔗 link | 🗖 nosplit | ↑ parent "Heavy water"
        
        2.1.2.3.1.2.1.2. Girdler sulfide process | 🔗 link | 🗖 nosplit | ↑ parent "Heavy water"
        
        2.1.2.3.1.3. Tritium (³H) | 🔗 link | 🗖 nosplit | ↑ parent "Hydrogen"
        
        2.1.2.3.2. Helium (He, 2) | 0, 37, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.2.1. Liquid helium | 37 | 🔗 link | 🗖 nosplit | ↑ parent "Helium"
        
        2.1.2.3.3. Nitrogen (N, 7) | 0, 132, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.3.1. Liquid nitrogen | 132 | 🔗 link | 🗖 nosplit | ↑ parent "Nitrogen"
        
        2.1.2.3.4. Sodium (Na, 11) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.4.1. Sodium chloride (NaCl) | 🔗 link | 🗖 nosplit | ↑ parent "Sodium"
        
        2.1.2.3.5. Aluminium (Al, 13) | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.6. Silicon (Si, 14) | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.7. Potassium (K, 19) | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.8. Iron (Fe, 26) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.8.1. Steel | 🔗 link | 🗖 nosplit | ↑ parent "Iron"
        
        2.1.2.3.9. Cadmium (Ca, 48) | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.10. Cesium (Cs, 55) | 0, 138, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.10.1. Cesium-137 | 138, 138, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cesium"
        
        2.1.2.3.10.1.1. Goiânia accident (1987) | 🔗 link | 🗖 nosplit | ↑ parent "Cesium-137"
        
        2.1.2.3.11. Gold (Au, 79) | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.12. Radium (Ra, 88) | 78 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.13. Uranium (U, 92) | 17, 19, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
        
        2.1.2.3.13.1. Uranium vs plutonium Quora answer by Ciro Santilli | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Uranium"
        
        2.1.2.3.14. Plutonium (Pu, 94) | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical element"
      - 2.1.2.4. Chemical compound | 0, 30, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.4.1. Nutrient | 10, 30, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical compound"
        
        2.1.2.4.1.1. Vitamin | 20, 20, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Nutrient"
        
        2.1.2.4.1.1.1. Vitamin C | 🔗 link | 🗖 nosplit | ↑ parent "Vitamin"
        
        2.1.2.4.2. Organic compound | 🔗 link | 🗖 nosplit | ↑ parent "Chemical compound"
        
        2.1.2.4.3. Carbohydrate | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical compound"
        
        2.1.2.4.3.1. Carbohydrate loading | 🔗 link | 🗖 nosplit | ↑ parent "Carbohydrate"
        
        2.1.2.4.3.2. Sugar | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Carbohydrate"
        
        2.1.2.4.3.2.1. Sucrose | 🔗 link | 🗖 nosplit | ↑ parent "Sugar"
      - 2.1.2.5. Organic chemistry | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.5.1. Biochemistry | 🔗 link | 🗖 nosplit | ↑ parent "Organic chemistry"
      - 2.1.2.6. Chemical reaction | 0, 270, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.6.1. Total synthesis | 18, 18, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical reaction"
        
        2.1.2.6.1.1. Semisynthesis | 🔗 link | 🗖 nosplit | ↑ parent "Total synthesis"
        
        2.1.2.6.1.2. Cell-free protein synthesis | 🔗 link | 🗖 nosplit | ↑ parent "Total synthesis"
        
        2.1.2.6.2. Chemical process design | 75, 172, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical reaction"
        
        2.1.2.6.2.1. Chemical process design software | 73, 97, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical process design"
        
        2.1.2.6.2.1.1. Aspen HYSYS | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical process design software"
        
        2.1.2.6.2.2. Retrosynthetic analysis | 🔗 link | 🗖 nosplit | ↑ parent "Chemical process design"
        
        2.1.2.6.3. Entropy of a chemical reaction | 27, 80, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemical reaction"
        
        2.1.2.6.3.1. Gibbs free energy | 53 | 🔗 link | 🗖 nosplit | ↑ parent "Entropy of a chemical reaction"
      - 2.1.2.7. Electrochemistry | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.7.1. Electric battery | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Electrochemistry"
        
        2.1.2.7.1.1. Nine-volt battery | 🔗 link | 🗖 nosplit | ↑ parent "Electric battery"
      - 2.1.2.8. pH | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.8.1. pH strip | 🔗 link | 🗖 nosplit | ↑ parent "pH"
      - 2.1.2.9. Periodic table | 0, 6, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.9.1. Nobel gas | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Periodic table"
      - 2.1.2.10. Chemistry bibliography | 0, 2, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry"
        
        2.1.2.10.1. Periodic Videos | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chemistry bibliography"
    - 2.1.3. Biology | 0, 4k, 199 | 🔗 link | 🗖 nosplit | ↑ parent "Natural science"
      - 2.1.3.1. Molecular biology | 37, 2k, 63 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.1.1. DNA | 30, 2k, 32 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology"
        
        2.1.3.1.1.1. DNA detection | 98 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.2. DNA amplification | 60, 461, 4 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.2.1. Polymerase chain reaction (PCR) | 133, 401, 3 | 🔗 link | 🗖 nosplit | ↑ parent "DNA amplification"
        
        2.1.3.1.1.2.1.1. Real-time polymerase chain reaction | 144 | 🔗 link | 🗖 nosplit | ↑ parent "Polymerase chain reaction"
        
        2.1.3.1.1.2.1.2. Isothermal DNA amplification techniques | 63, 124, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Polymerase chain reaction"
        
        2.1.3.1.1.2.1.2.1. Loop-mediated isothermal amplification (LAMP) | 61 | 🔗 link | 🗖 nosplit | ↑ parent "Isothermal DNA amplification techniques"
        
        2.1.3.1.1.3. DNA sequencing | 34, 662, 9 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.3.1. Base calling | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing"
        
        2.1.3.1.1.3.2. Sequence alignment | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing"
        
        2.1.3.1.1.3.3. Metagenomics | 125 | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing"
        
        2.1.3.1.1.3.4. DNA sequencing companies | 0, 503, 5 | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing"
        
        2.1.3.1.1.3.4.1. Illumina | 181, 359, 1 | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing companies"
        
        2.1.3.1.1.3.4.1.1. Solexa | 178 | 🔗 link | 🗖 nosplit | ↑ parent "Illumina"
        
        2.1.3.1.1.3.4.2. Oxford Nanopore Technologies | 0, 144, 2 | 🔗 link | 🗖 nosplit | ↑ parent "DNA sequencing companies"
        
        2.1.3.1.1.3.4.2.1. Oxford Nanopore MinION | 124, 144, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Oxford Nanopore Technologies"
        
        How to use an Oxford Nanopore MinION to extract DNA from river water and determine which bacteria live in it | 20 | 🔗 link | 🗖 nosplit
        
        2.1.3.1.1.4. De novo DNA synthesis | 171, 394, 3 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.4.1. Artificial gene synthesis | 10 | 🔗 link | 🗖 nosplit | ↑ parent "De novo DNA synthesis"
        
        2.1.3.1.1.4.2. Species bootstrapping from DNA | 97, 213, 1 | 🔗 link | 🗖 nosplit | ↑ parent "De novo DNA synthesis"
        
        2.1.3.1.1.4.2.1. Synthetic virus | 116 | 🔗 link | 🗖 nosplit | ↑ parent "Species bootstrapping from DNA"
        
        2.1.3.1.1.5. RNA | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.5.1. Messenger RNA (mRNA) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "RNA"
        
        2.1.3.1.1.5.1.1. Alternative splicing | 🔗 link | 🗖 nosplit | ↑ parent "Messenger RNA"
        
        2.1.3.1.1.6. Base pair (bp) | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.7. Chromosome | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.8. Genetic code (codon) | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.9. DNA paternity testing | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.10. Genetics | 11, 11, 1 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.10.1. Transposable element (transposon) | 🔗 link | 🗖 nosplit | ↑ parent "Genetics"
        
        2.1.3.1.1.11. Gene | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.12. Mutation | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "DNA"
        
        2.1.3.1.1.12.1. Single-nucleotide polymorphism (SNP) | 🔗 link | 🗖 nosplit | ↑ parent "Mutation"
        
        2.1.3.1.2. Protein | 3, 36, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology"
        
        2.1.3.1.2.1. Enzyme | 33 | 🔗 link | 🗖 nosplit | ↑ parent "Protein"
        
        2.1.3.1.2.2. Restriction enzyme | 🔗 link | 🗖 nosplit | ↑ parent "Protein"
        
        2.1.3.1.3. Metabolic pathway | 8, 66, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology"
        
        2.1.3.1.3.1. Metabolism | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Metabolic pathway"
        
        2.1.3.1.3.1.1. Excretion | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Metabolism"
        
        2.1.3.1.3.1.1.1. Feces | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Excretion"
        
        2.1.3.1.3.1.1.1.1. Bullshit | 🔗 link | 🗖 nosplit | ↑ parent "Feces"
        
        2.1.3.1.3.2. Synthetic biological circuit | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Metabolic pathway"
        
        2.1.3.1.3.3. CIDARLAB/cello | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Metabolic pathway"
        
        2.1.3.1.3.4. Photosynthesis | 🔗 link | 🗖 nosplit | ↑ parent "Metabolic pathway"
        
        2.1.3.1.4. Molecular biology laboratory equipment | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology"
        
        2.1.3.1.4.1. Laboratory centrifuge | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology laboratory equipment"
        
        2.1.3.1.4.1.1. Eppendorf tube (centrifuge tube) | 🔗 link | 🗖 nosplit | ↑ parent "Laboratory centrifuge"
        
        2.1.3.1.5. Cell (biology) | 0, 91, 15 | 🔗 link | 🗖 nosplit | ↑ parent "Molecular biology"
        
        2.1.3.1.5.1. Cell nucleus | 🔗 link | 🗖 nosplit | ↑ parent "Cell"
        
        2.1.3.1.5.2. Mitochondrion | 0, 51, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Cell"
        
        2.1.3.1.5.2.1. Cellular respiration | 0, 51, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Mitochondrion"
        
        2.1.3.1.5.2.1.1. Citric acid cycle | 39, 51, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cellular respiration"
        
        2.1.3.1.5.2.1.1.1. Electron transport chain | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Citric acid cycle"
        
        2.1.3.1.5.2.1.2. Adenosine diphosphate (ADP) | 🔗 link | 🗖 nosplit | ↑ parent "Cellular respiration"
        
        2.1.3.1.5.2.1.3. Adenosine triphosphate (ATP) | 🔗 link | 🗖 nosplit | ↑ parent "Cellular respiration"
        
        2.1.3.1.5.3. Organelle | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Cell"
        
        2.1.3.1.5.3.1. Ribosome | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Organelle"
        
        2.1.3.1.5.3.1.1. 16S ribosomal RNA | 🔗 link | 🗖 nosplit | ↑ parent "Ribosome"
        
        2.1.3.1.5.4. Single cell analysis | 19, 23, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Cell"
        
        2.1.3.1.5.4.1. Single cell sequencing | 🔗 link | 🗖 nosplit | ↑ parent "Single cell analysis"
        
        2.1.3.1.5.4.2. Single cell visualization | 0, 4, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Single cell analysis"
        
        2.1.3.1.5.4.2.1. Vitessce | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Single cell visualization"
        
        2.1.3.1.5.5. Cell biology (field) | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Cell"
      - 2.1.3.2. Organ (anatomy) | 0, 473, 45 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.2.1. Brain | 0, 473, 44 | 🔗 link | 🗖 nosplit | ↑ parent "Organ"
        
        2.1.3.2.1.1. Dream | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Brain"
        
        2.1.3.2.1.2. Nightmare | 🔗 link | 🗖 nosplit | ↑ parent "Brain"
        
        2.1.3.2.1.3. Human brain | 133, 454, 41 | 🔗 link | 🗖 nosplit | ↑ parent "Brain"
        
        2.1.3.2.1.3.1. Psychology | 0, 321, 40 | 🔗 link | 🗖 nosplit | ↑ parent "Human brain"
        
        2.1.3.2.1.3.1.1. Developmental disorder | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.1.1. Autism | 🔗 link | 🗖 nosplit | ↑ parent "Developmental disorder"
        
        2.1.3.2.1.3.1.2. Economy | 0, 213, 22 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.2.1. Capital flight | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.2. Commodity | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.3. Economics | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.4. Finance | 0, 17, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.4.1. Financial fraud | 0, 17, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Finance"
        
        2.1.3.2.1.3.1.2.4.1.1. Rogue trader | 0, 17, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Financial fraud"
        
        2.1.3.2.1.3.1.2.4.1.1.1. Nick Leeson | 17, 17, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Rogue trader"
        
        2.1.3.2.1.3.1.2.4.1.1.1.1. Nick Leeson and the Fall of the House of Barings by Adam Curtis (1996) | 🔗 link | 🗖 nosplit | ↑ parent "Nick Leeson"
        
        2.1.3.2.1.3.1.2.5. Financial crisis | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.5.1. Financial crisis of 2007-2008 | 🔗 link | 🗖 nosplit | ↑ parent "Financial crisis"
        
        2.1.3.2.1.3.1.2.6. Market liquidity | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.7. Social inequality | 162, 196, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.7.1. Affirmative action | 34 | 🔗 link | 🗖 nosplit | ↑ parent "Social inequality"
        
        2.1.3.2.1.3.1.2.7.2. Equal opportunity | 🔗 link | 🗖 nosplit | ↑ parent "Social inequality"
        
        2.1.3.2.1.3.1.2.7.3. Meritocracy | 🔗 link | 🗖 nosplit | ↑ parent "Social inequality"
        
        2.1.3.2.1.3.1.2.7.4. Wealth inequality in the United States | 🔗 link | 🗖 nosplit | ↑ parent "Social inequality"
        
        2.1.3.2.1.3.1.2.8. Stock market | 0, 0, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.2.8.1. Equity (finance) | 🔗 link | 🗖 nosplit | ↑ parent "Stock market"
        
        2.1.3.2.1.3.1.2.8.2. Exchange-traded fund (ETF) | 🔗 link | 🗖 nosplit | ↑ parent "Stock market"
        
        2.1.3.2.1.3.1.2.8.3. S&P 500 | 🔗 link | 🗖 nosplit | ↑ parent "Stock market"
        
        2.1.3.2.1.3.1.2.8.4. Open outrcy | 🔗 link | 🗖 nosplit | ↑ parent "Stock market"
        
        2.1.3.2.1.3.1.2.9. Liquidity | 🔗 link | 🗖 nosplit | ↑ parent "Economy"
        
        2.1.3.2.1.3.1.3. Fetish | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.4. Mental state | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.5. Mind blown | 90 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.6. Personality | 0, 0, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.6.1. Narcissism | 🔗 link | 🗖 nosplit | ↑ parent "Personality"
        
        2.1.3.2.1.3.1.6.2. Personality type | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Personality"
        
        2.1.3.2.1.3.1.6.2.1. Myers-Briggs Type_Indicator | 🔗 link | 🗖 nosplit | ↑ parent "Personality type"
        
        2.1.3.2.1.3.1.6.2.2. Big Five personality traits | 🔗 link | 🗖 nosplit | ↑ parent "Personality type"
        
        2.1.3.2.1.3.1.7. Procrastination | 16, 18, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.7.1. Yak shaving | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Procrastination"
        
        2.1.3.2.1.3.1.8. Psychologist | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.8.1. Carl Jung | 🔗 link | 🗖 nosplit | ↑ parent "Psychologist"
        
        2.1.3.2.1.3.1.8.2. Jordan Peterson | 🔗 link | 🗖 nosplit | ↑ parent "Psychologist"
        
        2.1.3.2.1.3.1.9. Suicide | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
        
        2.1.3.2.1.3.1.10. Uncanny valley | 🔗 link | 🗖 nosplit | ↑ parent "Psychology"
      - 2.1.3.3. Model organism | 90 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
      - 2.1.3.4. Taxonomy (biology) | 12, 1k, 37 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.4.1. Taxonomy databases | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.2. Genus | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.3. Domain (biology) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.3.1. Prokaryote | 🔗 link | 🗖 nosplit | ↑ parent "Domain"
        
        2.1.3.4.4. Kingdom (biology) | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.5. Multicellular organism | 0, 180, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.5.1. The simplest multicellular species | 142 | 🔗 link | 🗖 nosplit | ↑ parent "Multicellular organism"
        
        2.1.3.4.5.2. Colony (biology) | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Multicellular organism"
        
        2.1.3.4.5.3. Unicellular organism | 🔗 link | 🗖 nosplit | ↑ parent "Multicellular organism"
        
        2.1.3.4.6. Microorganism | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.7. Species | 0, 882, 26 | 🔗 link | 🗖 nosplit | ↑ parent "Taxonomy"
        
        2.1.3.4.7.1. Virus | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Species"
        
        2.1.3.4.7.1.1. Bacteriophage | 🔗 link | 🗖 nosplit | ↑ parent "Virus"
        
        2.1.3.4.7.2. Bacteria | 8, 297, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Species"
        
        2.1.3.4.7.2.1. Escherichia coli (E. Coli) | 102 | 🔗 link | 🗖 nosplit | ↑ parent "Bacteria"
        
        2.1.3.4.7.2.2. Mycoplasma | 40, 187, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Bacteria"
        
        2.1.3.4.7.2.2.1. Mycoplasma genitalium (M. genitalium) | 147 | 🔗 link | 🗖 nosplit | ↑ parent "Mycoplasma"
        
        2.1.3.4.7.3. Archaea | 🔗 link | 🗖 nosplit | ↑ parent "Species"
        
        2.1.3.4.7.4. Eukarya | 9, 576, 16 | 🔗 link | 🗖 nosplit | ↑ parent "Species"
        
        2.1.3.4.7.4.1. Fungus | 11, 65, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Eukarya"
        
        2.1.3.4.7.4.1.1. Saccharomyces cerevisiae (S. cerevisiae) | 54 | 🔗 link | 🗖 nosplit | ↑ parent "Fungus"
        
        2.1.3.4.7.4.2. Plant | 11, 375, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Eukarya"
        
        2.1.3.4.7.4.2.1. Borlotti beans | 271 | 🔗 link | 🗖 nosplit | ↑ parent "Plant"
        
        2.1.3.4.7.4.2.2. Pinto bean | 93 | 🔗 link | 🗖 nosplit | ↑ parent "Plant"
        
        2.1.3.4.7.4.3. Animal | 11, 127, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Eukarya"
        
        2.1.3.4.7.4.3.1. Caenorhabditis elegans (C. elegans) | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Animal"
        
        2.1.3.4.7.4.3.2. Drosophila melanogaster (Common fruit fly) | 🔗 link | 🗖 nosplit | ↑ parent "Animal"
        
        2.1.3.4.7.4.3.3. Human (Homo sapiens) | 12, 87, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Animal"
        
        2.1.3.4.7.4.3.3.1. Human body | 9, 9, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Human"
        
        2.1.3.4.7.4.3.3.1.1. Human nervous system | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Human body"
        
        2.1.3.4.7.4.3.3.1.1.1. Recurrent laryngeal nerve | 🔗 link | 🗖 nosplit | ↑ parent "Human nervous system"
        
        2.1.3.4.7.4.3.3.2. Human genome | 21, 66, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Human"
        
        2.1.3.4.7.4.3.3.2.1. Human mitochondrial DNA haplogroup | 🔗 link | 🗖 nosplit | ↑ parent "Human genome"
        
        2.1.3.4.7.4.3.3.2.2. Human Genome Project | 45 | 🔗 link | 🗖 nosplit | ↑ parent "Human genome"
        
        2.1.3.4.7.4.3.3.3. Transhumanism | 🔗 link | 🗖 nosplit | ↑ parent "Human"
        
        2.1.3.4.7.5. Extraterrestrial life (alien) | 0, 9, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Species"
        
        2.1.3.4.7.5.1. Alien | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Extraterrestrial life"
      - 2.1.3.5. Evolution | 71, 83, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.5.1. Argument from poor design | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Evolution"
        
        2.1.3.5.2. Natural selection | 🔗 link | 🗖 nosplit | ↑ parent "Evolution"
      - 2.1.3.6. Biotechnology | 0, 70, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.6.1. Biosafety level (BSL) | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology"
        
        2.1.3.6.2. Biotechnology tools | 0, 0, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology"
        
        2.1.3.6.2.1. Gel electrophoresis | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology tools"
        
        2.1.3.6.2.1.1. Agarose gel electrophoresis | 🔗 link | 🗖 nosplit | ↑ parent "Gel electrophoresis"
        
        2.1.3.6.2.2. Petri dish | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology tools"
        
        2.1.3.6.2.3. Pipette | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology tools"
        
        2.1.3.6.3. Tissue engineering | 0, 67, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology"
        
        2.1.3.6.3.1. Cultured meat | 67, 67, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Tissue engineering"
        
        2.1.3.6.3.1.1. Eat Just | 🔗 link | 🗖 nosplit | ↑ parent "Cultured meat"
        
        2.1.3.6.4. Synthetic biology | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Biotechnology"
      - 2.1.3.7. Biologist | 0, 41, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.7.1. Antonie van Leeuwenhoek | 🔗 link | 🗖 nosplit | ↑ parent "Biologist"
        
        2.1.3.7.2. Craig Venter | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Biologist"
        
        2.1.3.7.3. George M. Church | 27 | 🔗 link | 🗖 nosplit | ↑ parent "Biologist"
      - 2.1.3.8. Disease | 0, 23, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.8.1. Cancer | 🔗 link | 🗖 nosplit | ↑ parent "Disease"
        
        2.1.3.8.2. Obesity (Fat) | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Disease"
        
        2.1.3.8.3. Infection | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Disease"
        
        2.1.3.8.4. Respiratory disease | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Disease"
        
        2.1.3.8.4.1. Tuberculosis | 🔗 link | 🗖 nosplit | ↑ parent "Respiratory disease"
      - 2.1.3.9. Life | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
      - 2.1.3.10. Reproduction | 0, 69, 10 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.10.1. Sexual reproduction | 0, 69, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Reproduction"
        
        2.1.3.10.1.1. Female | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.2. Male | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.3. Sexual arousal | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.4. Sexual desire | 69 | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.5. Orgasm | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.6. Sexual intercourse | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.7. Sexual organ | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Sexual reproduction"
        
        2.1.3.10.1.7.1. Penis | 🔗 link | 🗖 nosplit | ↑ parent "Sexual organ"
        
        2.1.3.10.1.7.2. Vagina | 🔗 link | 🗖 nosplit | ↑ parent "Sexual organ"
      - 2.1.3.11. Medicine | 0, 271, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Biology"
        
        2.1.3.11.1. Pharmacy | 0, 271, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Medicine"
        
        2.1.3.11.1.1. Drug | 0, 271, 11 | 🔗 link | 🗖 nosplit | ↑ parent "Pharmacy"
        
        2.1.3.11.1.1.1. Addiction | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Drug"
        
        2.1.3.11.1.1.1.1. Drug addict | 🔗 link | 🗖 nosplit | ↑ parent "Addiction"
        
        2.1.3.11.1.1.1.2. Drug tolerance | 🔗 link | 🗖 nosplit | ↑ parent "Addiction"
        
        2.1.3.11.1.1.2. Recreational drug | 0, 271, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Drug"
        
        2.1.3.11.1.1.2.1. Drug liberalization | 271 | 🔗 link | 🗖 nosplit | ↑ parent "Recreational drug"
        
        2.1.3.11.1.1.2.2. Bad trip | 🔗 link | 🗖 nosplit | ↑ parent "Recreational drug"
        
        2.1.3.11.1.1.2.3. Drug traffic | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Recreational drug"
        
        2.1.3.11.1.1.2.3.1. Drug lord | 🔗 link | 🗖 nosplit | ↑ parent "Drug traffic"
        
        2.1.3.11.1.1.2.4. List of recreational drugs | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Recreational drug"
        
        2.1.3.11.1.1.2.4.1. Marijuana | 🔗 link | 🗖 nosplit | ↑ parent "List of recreational drugs"
        
        2.1.3.11.1.1.2.4.2. Heroin | 🔗 link | 🗖 nosplit | ↑ parent "List of recreational drugs"
    - 2.1.4. Astronomy | 0, 3k, 88 | 🔗 link | 🗖 nosplit | ↑ parent "Natural science"
      - 2.1.4.1. Astrophysics | 12, 56, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Astronomy"
        
        2.1.4.1.1. Cosmic ray | 0, 44, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Astrophysics"
        
        2.1.4.1.1.1. Ultra-high-energy cosmic ray | 44, 44, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Cosmic ray"
        
        2.1.4.1.1.1.1. Greisen-Zatsepin-Kuzmin limit | 🔗 link | 🗖 nosplit | ↑ parent "Ultra-high-energy cosmic ray"
        
        2.1.4.1.1.1.2. Oh-My-God particle | 🔗 link | 🗖 nosplit | ↑ parent "Ultra-high-energy cosmic ray"
      - 2.1.4.2. Age of the universe | 226 | 🔗 link | 🗖 nosplit | ↑ parent "Astronomy"
      - 2.1.4.3. Virgo Supercluster | 0, 3k, 81 | 🔗 link | 🗖 nosplit | ↑ parent "Astronomy"
        
        2.1.4.3.1. Local group | 0, 3k, 80 | 🔗 link | 🗖 nosplit | ↑ parent "Virgo Supercluster"
        
        2.1.4.3.1.1. Milky way | 15, 3k, 79 | 🔗 link | 🗖 nosplit | ↑ parent "Local group"
        
        2.1.4.3.1.1.1. Orion Arm | 0, 3k, 78 | 🔗 link | 🗖 nosplit | ↑ parent "Milky way"
        
        2.1.4.3.1.1.1.1. Solar system | 0, 3k, 77 | 🔗 link | 🗖 nosplit | ↑ parent "Orion Arm"
        
        2.1.4.3.1.1.1.1.1. Sun | 🔗 link | 🗖 nosplit | ↑ parent "Solar system"
        
        2.1.4.3.1.1.1.1.2. Earth | 0, 3k, 75 | 🔗 link | 🗖 nosplit | ↑ parent "Solar system"
        
        2.1.4.3.1.1.1.1.2.1. Continent | 0, 3k, 69 | 🔗 link | 🗖 nosplit | ↑ parent "Earth"
        
        2.1.4.3.1.1.1.1.2.1.1. Americas | 0, 1k, 27 | 🔗 link | 🗖 nosplit | ↑ parent "Continent"
        
        2.1.4.3.1.1.1.1.2.1.1.1. North America | 0, 210, 16 | 🔗 link | 🗖 nosplit | ↑ parent "Americas"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1. Country in North America | 0, 210, 15 | 🔗 link | 🗖 nosplit | ↑ parent "North America"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.1. Mexico | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Country in North America"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.1.1. Mexican drug war | 🔗 link | 🗖 nosplit | ↑ parent "Mexico"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2. United States (USA) | 210, 210, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Country in North America"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.1. United States Government | 🔗 link | 🗖 nosplit | ↑ parent "United States"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2. U.S. state | 0, 0, 10 | 🔗 link | 🗖 nosplit | ↑ parent "United States"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.1. California | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.1.1. Los Angeles | 🔗 link | 🗖 nosplit | ↑ parent "California"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.2. Hawaii | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.3. Minnesota | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.4. New York (state) | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.4.1. New York | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "New York"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.4.1.1. Manhattan | 🔗 link | 🗖 nosplit | ↑ parent "New York"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.4.2. Long Island | 🔗 link | 🗖 nosplit | ↑ parent "New York"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.5. Tennessee | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.1.1.2.2.6. Washington (state) | 🔗 link | 🗖 nosplit | ↑ parent "U.S. state"
        
        2.1.4.3.1.1.1.1.2.1.1.2. South America | 0, 1k, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Americas"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1. Country in South America | 0, 1k, 8 | 🔗 link | 🗖 nosplit | ↑ parent "South America"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1. Brazil | 126, 1k, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Country in South America"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.1. Favela | 🔗 link | 🗖 nosplit | ↑ parent "Brazil"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2. States of Brazil | 0, 918, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Brazil"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2.1. Sao Paulo (state) | 0, 918, 3 | 🔗 link | 🗖 nosplit | ↑ parent "States of Brazil"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2.1.1. Santos, São Paulo, Brazil | 474 | 🔗 link | 🗖 nosplit | ↑ parent "Sao Paulo"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2.1.2. Sao Paulo City | 118, 444, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Sao Paulo"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2.1.2.1. Municipal Market of Sao Paulo | 326 | 🔗 link | 🗖 nosplit | ↑ parent "Sao Paulo City"
        
        2.1.4.3.1.1.1.1.2.1.1.2.1.1.2.2. Rio de Janeiro (state) | 🔗 link | 🗖 nosplit | ↑ parent "States of Brazil"
        
        2.1.4.3.1.1.1.1.2.1.2. Asia | 0, 211, 18 | 🔗 link | 🗖 nosplit | ↑ parent "Continent"
        
        2.1.4.3.1.1.1.1.2.1.2.1. Golden Crescent | 🔗 link | 🗖 nosplit | ↑ parent "Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.2. East Asia | 0, 211, 11 | 🔗 link | 🗖 nosplit | ↑ parent "Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1. Country in East Asia | 0, 211, 10 | 🔗 link | 🗖 nosplit | ↑ parent "East Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1. China | 55, 211, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Country in East Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.1. Chinese Communist Party (CCP) | 10 | 🔗 link | 🗖 nosplit | ↑ parent "China"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.2. Chinese cuisine | 39, 41, 1 | 🔗 link | 🗖 nosplit | ↑ parent "China"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.2.1. Congee (粥) | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Chinese cuisine"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3. Chinese literature | 9, 105, 5 | 🔗 link | 🗖 nosplit | ↑ parent "China"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3.1. Four Great Classic Novels (四大名著) | 0, 96, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Chinese literature"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3.1.1. Journey to the West (西游记) | 0, 53, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Four Great Classic Novels"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3.1.1.1. Sun Wukong (孙悟空) | 53 | 🔗 link | 🗖 nosplit | ↑ parent "Journey to the West"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3.1.2. Water Margin (水浒传) | 24, 43, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Four Great Classic Novels"
        
        2.1.4.3.1.1.1.1.2.1.2.2.1.1.3.1.2.1. 108 Stars of Destiny (一百单八将) | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Water Margin"
        
        2.1.4.3.1.1.1.1.2.1.2.3. South Asia | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.3.1. Country in South Asia | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "South Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.3.1.1. India | 🔗 link | 🗖 nosplit | ↑ parent "Country in South Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.4. Southeast Asia | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Asia"
        
        2.1.4.3.1.1.1.1.2.1.2.4.1. Golden Triangle (Southeast Asia) | 🔗 link | 🗖 nosplit | ↑ parent "Southeast Asia"
        
        2.1.4.3.1.1.1.1.2.1.3. Europe | 73, 1k, 21 | 🔗 link | 🗖 nosplit | ↑ parent "Continent"
        
        2.1.4.3.1.1.1.1.2.1.3.1. European Union | 0, 133, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.1.1. Europe cookie law | 133 | 🔗 link | 🗖 nosplit | ↑ parent "European Union"
        
        2.1.4.3.1.1.1.1.2.1.3.2. Country in Europe | 0, 1k, 18 | 🔗 link | 🗖 nosplit | ↑ parent "Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.1. France | 37, 255, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Country in Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.1.1. Paris | 189, 218, 1 | 🔗 link | 🗖 nosplit | ↑ parent "France"
        
        2.1.4.3.1.1.1.1.2.1.3.2.1.1.1. Place de la République | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Paris"
        
        2.1.4.3.1.1.1.1.2.1.3.2.2. Germany | 0, 15, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Country in Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.2.1. Adolf Hitler | 0, 15, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Germany"
        
        2.1.4.3.1.1.1.1.2.1.3.2.2.1.1. Nazism | 15 | 🔗 link | 🗖 nosplit | ↑ parent "Adolf Hitler"
        
        2.1.4.3.1.1.1.1.2.1.3.2.3. Italy | 162 | 🔗 link | 🗖 nosplit | ↑ parent "Country in Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.4. Kosovo | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Country in Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.4.1. Kosovo War | 🔗 link | 🗖 nosplit | ↑ parent "Kosovo"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5. United Kingdom | 130, 569, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Country in Europe"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.1. Climate of the United Kingdom (British weather) | 102 | 🔗 link | 🗖 nosplit | ↑ parent "United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.2. Cycling in the United Kingdom | 319 | 🔗 link | 🗖 nosplit | ↑ parent "United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3. Counties of the United Kingdom | 0, 18, 5 | 🔗 link | 🗖 nosplit | ↑ parent "United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3.1. Cambridgeshire | 0, 18, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Counties of the United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3.1.1. Cambridge, United Kingdom | 18, 18, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Cambridgeshire"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3.1.1.1. River Cam | 🔗 link | 🗖 nosplit | ↑ parent "Cambridge, United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3.2. West Midlands (county) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Counties of the United Kingdom"
        
        2.1.4.3.1.1.1.1.2.1.3.2.5.3.2.1. Coventry | 🔗 link | 🗖 nosplit | ↑ parent "West Midlands"
        
        2.1.4.3.1.1.1.1.2.2. Earth science | 0, 0, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Earth"
        
        2.1.4.3.1.1.1.1.2.2.1. Age of Earth | 🔗 link | 🗖 nosplit | ↑ parent "Earth science"
        
        2.1.4.3.1.1.1.1.2.2.2. Climatology | 🔗 link | 🗖 nosplit | ↑ parent "Earth science"
        
        2.1.4.3.1.1.1.1.2.2.3. Climate change | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Earth science"
        
        2.1.4.3.1.1.1.1.2.2.3.1. Global warming | 🔗 link | 🗖 nosplit | ↑ parent "Climate change"
    - 2.1.5. Laboratory | 🔗 link | 🗖 nosplit | ↑ parent "Natural science"
  - 2.2. Social science | 0, 2k, 71 | 🔗 link | 🗖 nosplit | ↑ parent "Science"
    - 2.2.1. Country | 81 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
    - 2.2.2. Globalization | 0, 139, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.2.1. Globalization reduces the power of governments | 139 | 🔗 link | 🗖 nosplit | ↑ parent "Globalization"
    - 2.2.3. History | 0, 0, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.3.1. Middle Ages | 🔗 link | 🗖 nosplit | ↑ parent "History"
      - 2.2.3.2. Museum | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "History"
        
        2.2.3.2.1. Computer History Museum | 🔗 link | 🗖 nosplit | ↑ parent "Museum"
    - 2.2.4. Meme | 28, 28, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.4.1. Rickrolling | 🔗 link | 🗖 nosplit | ↑ parent "Meme"
    - 2.2.5. Politics | 0, 863, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.5.1. Politician | 🔗 link | 🗖 nosplit | ↑ parent "Politics"
      - 2.2.5.2. Politics of the United States | 0, 863, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Politics"
        
        2.2.5.2.1. American politicians | 0, 863, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Politics of the United States"
        
        2.2.5.2.1.1. Donald Trump | 800, 863, 1 | 🔗 link | 🗖 nosplit | ↑ parent "American politicians"
        
        2.2.5.2.1.1.1. The deplatforming of Donald Trump | 63 | 🔗 link | 🗖 nosplit | ↑ parent "Donald Trump"
        
        2.2.5.2.2. Political parties in the United States | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Politics of the United States"
        
        2.2.5.2.2.1. Democratic Party (United States, Democrat) | 🔗 link | 🗖 nosplit | ↑ parent "Political parties in the United States"
        
        2.2.5.2.2.2. Republican Party (United States, Republican) | 🔗 link | 🗖 nosplit | ↑ parent "Political parties in the United States"
      - 2.2.5.3. Nationalism | 🔗 link | 🗖 nosplit | ↑ parent "Politics"
    - 2.2.6. Philosophy | 0, 0, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.6.1. Philosopher | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Philosophy"
        
        2.2.6.1.1. Eratosthenes | 🔗 link | 🗖 nosplit | ↑ parent "Philosopher"
    - 2.2.7. Idealism | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
    - 2.2.8. Religion | 77, 981, 30 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.8.1. Agnosticism | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.2. Atheism | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.3. Cult | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.4. Free will | 58 | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.5. God | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.6. Hell | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.7. Saint | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
      - 2.2.8.8. List of religions | 0, 775, 22 | 🔗 link | 🗖 nosplit | ↑ parent "Religion"
        
        2.2.8.8.1. Buddhism | 124, 274, 4 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.1.1. Alan Watts | 95 | 🔗 link | 🗖 nosplit | ↑ parent "Buddhism"
        
        2.2.8.8.1.2. Meditation | 33 | 🔗 link | 🗖 nosplit | ↑ parent "Buddhism"
        
        2.2.8.8.1.3. Middle Way | 🔗 link | 🗖 nosplit | ↑ parent "Buddhism"
        
        2.2.8.8.1.4. Noble Eightfold Path (八聖道分) | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Buddhism"
        
        2.2.8.8.2. Confucianism (儒教) | 0, 6, 2 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.2.1. Analects (论语) | 2, 6, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Confucianism"
        
        2.2.8.8.2.1.1. Analects translation by Robert Eno (2015) | 4 | 🔗 link | 🗖 nosplit | ↑ parent "Analects"
        
        2.2.8.8.3. Christianism | 0, 195, 6 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.3.1. Bible | 0, 59, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Christianism"
        
        2.2.8.8.3.1.1. Freely licensed Bibles | 59 | 🔗 link | 🗖 nosplit | ↑ parent "Bible"
        
        2.2.8.8.3.2. Catholic Church | 🔗 link | 🗖 nosplit | ↑ parent "Christianism"
        
        2.2.8.8.3.3. Jesus | 38, 136, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Christianism"
        
        2.2.8.8.3.3.1. Quotes by Jesus | 23, 98, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Jesus"
        
        2.2.8.8.3.3.1.1. Enter through the narrow gate | 75 | 🔗 link | 🗖 nosplit | ↑ parent "Quotes by Jesus"
        
        2.2.8.8.4. Falun Gong | 13 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.5. Islam | 53, 89, 1 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.5.1. Ramadan | 36 | 🔗 link | 🗖 nosplit | ↑ parent "Islam"
        
        2.2.8.8.6. Sikhism | 0, 198, 1 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.6.1. Gurdwara | 198 | 🔗 link | 🗖 nosplit | ↑ parent "Sikhism"
        
        2.2.8.8.7. Taoism (道教) | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "List of religions"
        
        2.2.8.8.7.1. Yin and yang | 🔗 link | 🗖 nosplit | ↑ parent "Taoism"
    - 2.2.9. Social norm | 0, 375, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.9.1. Shibboleth | 🔗 link | 🗖 nosplit | ↑ parent "Social norm"
      - 2.2.9.2. Political correctness | 69, 375, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Social norm"
        
        2.2.9.2.1. Ridiculous cases of political correctness censorship | 37, 306, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Political correctness"
        
        2.2.9.2.1.1. Replacement of master and slave terminology from technology | 38, 128, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Ridiculous cases of political correctness censorship"
        
        2.2.9.2.1.1.1. GitHub's replacement of master branch with main (2020) | 90 | 🔗 link | 🗖 nosplit | ↑ parent "Replacement of master and slave terminology from technology"
        
        2.2.9.2.1.2. Magic the gathering's banning of 7 cards due to "racism" (2020) | 141 | 🔗 link | 🗖 nosplit | ↑ parent "Ridiculous cases of political correctness censorship"
    - 2.2.10. Society | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
    - 2.2.11. War | 0, 0, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Social science"
      - 2.2.11.1. A Small Talent for War | 🔗 link | 🗖 nosplit | ↑ parent "War"
      - 2.2.11.2. Concertina wire | 🔗 link | 🗖 nosplit | ↑ parent "War"
      - 2.2.11.3. Cold War (1947-1991) | 🔗 link | 🗖 nosplit | ↑ parent "War"
      - 2.2.11.4. Espionage | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "War"
        
        2.2.11.4.1. Five Eyes | 🔗 link | 🗖 nosplit | ↑ parent "Espionage"
      - 2.2.11.5. National Security Agency (NSA) | 🔗 link | 🗖 nosplit | ↑ parent "War"
      - 2.2.11.6. Terrorism | 🔗 link | 🗖 nosplit | ↑ parent "War"
      - 2.2.11.7. World War II (1939-09-01 to 1945) | 🔗 link | 🗖 nosplit | ↑ parent "War"
  - 2.3. Linguistics | 9, 280, 31 | 🔗 link | 🗖 nosplit | ↑ parent "Science"
    - 2.3.1. Dictionary | 0, 32, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
      - 2.3.1.1. Online dictionary | 0, 32, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Dictionary"
        
        2.3.1.1.1. Urban Dictionary | 32 | 🔗 link | 🗖 nosplit | ↑ parent "Online dictionary"
    - 2.3.2. Figure of speech | 0, 44, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
      - 2.3.2.1. Slang | 🔗 link | 🗖 nosplit | ↑ parent "Figure of speech"
      - 2.3.2.2. Euphemism | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Figure of speech"
    - 2.3.3. Linguist | 0, 10, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
      - 2.3.3.1. Charles Kay Ogden | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Linguist"
    - 2.3.4. Writing system | 0, 122, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
      - 2.3.4.1. Transliteration | 🔗 link | 🗖 nosplit | ↑ parent "Writing system"
      - 2.3.4.2. Logogram | 2, 4, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Writing system"
        
        2.3.4.2.1. Chinese character | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Logogram"
      - 2.3.4.3. Alphabet | 0, 118, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Writing system"
        
        2.3.4.3.1. Cyrillic script | 🔗 link | 🗖 nosplit | ↑ parent "Alphabet"
        
        2.3.4.3.2. Greek alphabet | 46, 118, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Alphabet"
        
        2.3.4.3.2.1. Beta ( $B$ , $β$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Greek alphabet"
        
        2.3.4.3.2.2. Delta (letter, $Δ$ , $δ$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Greek alphabet"
        
        2.3.4.3.2.3. Phi ( $Φ$ , $ϕ$ , $φ$ ) | 50 | 🔗 link | 🗖 nosplit | ↑ parent "Greek alphabet"
        
        2.3.4.3.2.4. Psi (Greek, $Ψ$ , $ψ$ ) | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Greek alphabet"
        
        2.3.4.3.3. Latin alphabet | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Alphabet"
        
        2.3.4.3.3.1. Letter D | 🔗 link | 🗖 nosplit | ↑ parent "Latin alphabet"
    - 2.3.5. Natural language | 31, 46, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
      - 2.3.5.1. Constructed language | 0, 15, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Natural language"
        
        2.3.5.1.1. Controlled language | 0, 15, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Constructed language"
        
        2.3.5.1.1.1. Basic English | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Controlled language"
        
        2.3.5.1.1.2. Learning English | 5 | 🔗 link | 🗖 nosplit | ↑ parent "Controlled language"
    - 2.3.6. List of languages | 9, 17, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Linguistics"
  - 2.4. Popular science (Scientific vulgarization) | 304, 516, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Science"
    - 2.4.1. Crank (person) | 55 | 🔗 link | 🗖 nosplit | ↑ parent "Popular science"
    - 2.4.2. Science communication | 0, 64, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Popular science"
      - 2.4.2.1. Science communicator | 0, 64, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Science communication"
        
        2.4.2.1.1. Bill Nye | 64 | 🔗 link | 🗖 nosplit | ↑ parent "Science communicator"
    - 2.4.3. To talk about something without giving the real name to not scare off the audience | 71 | 🔗 link | 🗖 nosplit | ↑ parent "Popular science"
    - 2.4.4. Popular science publication | 0, 22, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Popular science"
      - 2.4.4.1. Quanta Magazine | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Popular science publication"
      - 2.4.4.2. Scientific American | 🔗 link | 🗖 nosplit | ↑ parent "Popular science publication"
  - 2.5. Scientific documentary | 0, 667, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Science"
    - 2.5.1. Cosmos: A Personal Voyage (1980) | 19 | 🔗 link | 🗖 nosplit | ↑ parent "Scientific documentary"
    - 2.5.2. 100 Greatest Discoveries by the Discovery Channel (2004-2005) | 648 | 🔗 link | 🗖 nosplit | ↑ parent "Scientific documentary"
- 3. Mathematics | 17, 11k, 293 | 🔗 link | 🗖 nosplit | ↑ parent "Ciro Santilli's Homepage"
  - 3.1. The beauty of mathematics | 257, 548, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.1.1. Lists of mathematical problems | 13, 291, 3 | 🔗 link | 🗖 nosplit | ↑ parent "The beauty of mathematics"
      - 3.1.1.1. Hilbert's problems | 22 | 🔗 link | 🗖 nosplit | ↑ parent "Lists of mathematical problems"
      - 3.1.1.2. Millennium Prize Problems | 244, 256, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Lists of mathematical problems"
        
        3.1.1.2.1. Birch and Swinnerton-Dyer Conjecture | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Millennium Prize Problems"
  - 3.2. Formalization of Mathematics | 439, 829, 21 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.2.1. QED manifesto | 25 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
    - 3.2.2. Formal proof | 15, 144, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
      - 3.2.2.1. Formal system | 0, 39, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Formal proof"
        
        3.2.2.1.1. Zermelo-Fraenkel set theory (ZF) | 25, 39, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Formal system"
        
        3.2.2.1.1.1. Metamath | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Zermelo-Fraenkel set theory"
      - 3.2.2.2. Axiom | 0, 90, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Formal proof"
        
        3.2.2.2.1. Consistency | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Axiom"
        
        3.2.2.2.2. Independence (mathematical logic) | 49 | 🔗 link | 🗖 nosplit | ↑ parent "Axiom"
      - 3.2.2.3. Conjecture | 🔗 link | 🗖 nosplit | ↑ parent "Formal proof"
      - 3.2.2.4. Theorem | 🔗 link | 🗖 nosplit | ↑ parent "Formal proof"
    - 3.2.3. Set (mathematics) | 86 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
    - 3.2.4. Function (mathematics) | 25, 77, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
      - 3.2.4.1. Exponential function | 0, 52, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Function"
        
        3.2.4.1.1. Matrix exponential | 52 | 🔗 link | 🗖 nosplit | ↑ parent "Exponential function"
    - 3.2.5. Function space | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
    - 3.2.6. Integer | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
    - 3.2.7. Real number | 4, 4, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
      - 3.2.7.1. Countable set | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Real number"
        
        3.2.7.1.1. Cantor's diagonal argument | 🔗 link | 🗖 nosplit | ↑ parent "Countable set"
    - 3.2.8. Complex number | 43 | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
    - 3.2.9. Ordered pair | 🔗 link | 🗖 nosplit | ↑ parent "Formalization of Mathematics"
  - 3.3. Algebra | 0, 1k, 51 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.3.1. Commutator | 🔗 link | 🗖 nosplit | ↑ parent "Algebra"
    - 3.3.2. Field (mathematics) | 🔗 link | 🗖 nosplit | ↑ parent "Algebra"
    - 3.3.3. Linear algebra | 0, 226, 19 | 🔗 link | 🗖 nosplit | ↑ parent "Algebra"
      - 3.3.3.1. Dot product | 🔗 link | 🗖 nosplit | ↑ parent "Linear algebra"
      - 3.3.3.2. Projection (mathematics) | 🔗 link | 🗖 nosplit | ↑ parent "Linear algebra"
      - 3.3.3.3. Matrix | 0, 226, 14 | 🔗 link | 🗖 nosplit | ↑ parent "Linear algebra"
        
        3.3.3.3.1. Matrix multiplication | 11, 150, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Matrix"
        
        3.3.3.3.1.1. Matrix multiplication algorithm | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Matrix multiplication"
        
        3.3.3.3.1.2. Linear map (linear operator) | 123, 137, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Matrix multiplication"
        
        3.3.3.3.1.2.1. Linear operator | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Linear map"
        
        3.3.3.3.1.2.2. Self-adjoint operator | 🔗 link | 🗖 nosplit | ↑ parent "Linear map"
        
        3.3.3.3.2. Eigenvalues and eigenvectors | 0, 26, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Matrix"
        
        3.3.3.3.2.1. Applications of eigenvalues and eigenvectors | 6 | 🔗 link | 🗖 nosplit | ↑ parent "Eigenvalues and eigenvectors"
        
        3.3.3.3.2.2. Eigenvalue | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Eigenvalues and eigenvectors"
        
        3.3.3.3.2.3. Eigenvector | 9 | 🔗 link | 🗖 nosplit | ↑ parent "Eigenvalues and eigenvectors"
        
        3.3.3.3.2.4. Eigenvectors and eigenvalues of the identity matrix | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Eigenvalues and eigenvectors"
        
        3.3.3.3.2.5. Spectral theorem | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Eigenvalues and eigenvectors"
        
        3.3.3.3.2.5.1. Hermitian matrix | 🔗 link | 🗖 nosplit | ↑ parent "Spectral theorem"
        
        3.3.3.3.3. Orthogonal matrix | 11, 50, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Matrix"
        
        3.3.3.3.3.1. Unitary matrix | 39 | 🔗 link | 🗖 nosplit | ↑ parent "Orthogonal matrix"
      - 3.3.3.4. Vector space | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Linear algebra"
        
        3.3.3.4.1. Vector (mathematics) | 🔗 link | 🗖 nosplit | ↑ parent "Vector space"
    - 3.3.4. Group (mathematics) | 0, 1k, 28 | 🔗 link | 🗖 nosplit | ↑ parent "Algebra"
      - 3.3.4.1. Abelian group | 30 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
      - 3.3.4.2. Symmetry | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
      - 3.3.4.3. Important mathematical groups | 0, 11, 5 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
        
        3.3.4.3.1. Important discrete mathematical groups | 0, 11, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Important mathematical groups"
        
        3.3.4.3.1.1. Cyclic group ( $Z_{n}$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Important discrete mathematical groups"
        
        3.3.4.3.1.2. Alternating group ( $A_{n}$ ) | 🔗 link | 🗖 nosplit | ↑ parent "Important discrete mathematical groups"
        
        3.3.4.3.1.3. Wallpaper group | 3 | 🔗 link | 🗖 nosplit | ↑ parent "Important discrete mathematical groups"
        
        3.3.4.3.1.4. Space group | 8 | 🔗 link | 🗖 nosplit | ↑ parent "Important discrete mathematical groups"
      - 3.3.4.4. Group isomorphism | 0, 124, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
        
        3.3.4.4.1. Group homomorphism | 95, 124, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Group isomorphism"
        
        3.3.4.4.1.1. Fundamental theorem on homomorphisms | 29 | 🔗 link | 🗖 nosplit | ↑ parent "Group homomorphism"
        
        3.3.4.4.1.2. Kernel (algebra) | 🔗 link | 🗖 nosplit | ↑ parent "Group homomorphism"
      - 3.3.4.5. Direct product of groups | 0, 59, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
        
        3.3.4.5.1. Semidirect product | 59 | 🔗 link | 🗖 nosplit | ↑ parent "Direct product of groups"
      - 3.3.4.6. Subgroup | 0, 949, 13 | 🔗 link | 🗖 nosplit | ↑ parent "Group"
        
        3.3.4.6.1. Subgroup generated by a group | 🔗 link | 🗖 nosplit | ↑ parent "Subgroup"
        
        3.3.4.6.2. Quotient group | 45, 949, 11 | 🔗 link | 🗖 nosplit | ↑ parent "Subgroup"
        
        3.3.4.6.2.1. Subquotient | 64 | 🔗 link | 🗖 nosplit | ↑ parent "Quotient group"
        
        3.3.4.6.2.2. Relationship between the quotient group and direct products | 304 | 🔗 link | 🗖 nosplit | ↑ parent "Quotient group"
        
        3.3.4.6.2.3. Normal subgroup | 143, 536, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Quotient group"
        
        3.3.4.6.2.3.1. Simple group | 48 | 🔗 link | 🗖 nosplit | ↑ parent "Normal subgroup"
        
        3.3.4.6.2.3.2. Classification of finite groups | 71, 345, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Normal subgroup"
        
        3.3.4.6.2.3.2.1. Classification of finite simple groups | 84, 166, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite groups"
        
        3.3.4.6.2.3.2.1.1. Monster group | 33 | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite simple groups"
        
        3.3.4.6.2.3.2.1.2. Group of Lie type | 35 | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite simple groups"
        
        3.3.4.6.2.3.2.1.3. Jordan-Holder Theorem | 14 | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite simple groups"
        
        3.3.4.6.2.3.2.1.4. Composition series | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite simple groups"
        
        3.3.4.6.2.3.2.2. Group extension problem | 108 | 🔗 link | 🗖 nosplit | ↑ parent "Classification of finite groups"
  - 3.4. Calculus | 17, 5k, 136 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.4.1. Mathematical analysis | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.2. Limit (mathematics) | 46, 46, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.2.1. Convergent series | 🔗 link | 🗖 nosplit | ↑ parent "Limit"
      - 3.4.2.2. Continuous function | 🔗 link | 🗖 nosplit | ↑ parent "Limit"
    - 3.4.3. Derivative | 0, 142, 9 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.3.1. Chain rule | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Derivative"
        
        3.4.3.1.1. Multivariable chain rule | 🔗 link | 🗖 nosplit | ↑ parent "Chain rule"
      - 3.4.3.2. Maxima and minima | 0, 2, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Derivative"
        
        3.4.3.2.1. Lifegard problem | 2 | 🔗 link | 🗖 nosplit | ↑ parent "Maxima and minima"
        
        3.4.3.2.2. Saddle point | 🔗 link | 🗖 nosplit | ↑ parent "Maxima and minima"
      - 3.4.3.3. Partial derivative | 0, 70, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Derivative"
        
        3.4.3.3.1. Partial derivative symbol ( $\partial$ ) | 70 | 🔗 link | 🗖 nosplit | ↑ parent "Partial derivative"
      - 3.4.3.4. Total derivative | 70 | 🔗 link | 🗖 nosplit | ↑ parent "Derivative"
      - 3.4.3.5. Directional derivative | 🔗 link | 🗖 nosplit | ↑ parent "Derivative"
    - 3.4.4. Riemann integral | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.5. Lebesgue integral | 31, 851, 12 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.6. Measure theory | 55 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.7. Fourier series | 139, 385, 8 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.7.1. Applications of the Fourier series | 0, 72, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier series"
        
        3.4.7.1.1. Solving partial differential equations with the Fourier series | 72 | 🔗 link | 🗖 nosplit | ↑ parent "Applications of the Fourier series"
      - 3.4.7.2. Discrete Fourier transform (DFT) | 🔗 link | 🗖 nosplit | ↑ parent "Fourier series"
      - 3.4.7.3. Fourier transform | 24, 157, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier series"
        
        3.4.7.3.1. Multidimensional Fourier transform | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier transform"
        
        3.4.7.3.2. Fourier inversion theorem | 41 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier transform"
        
        3.4.7.3.3. Laplace transform | 51 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier transform"
      - 3.4.7.4. History of the Fourier series | 17 | 🔗 link | 🗖 nosplit | ↑ parent "Fourier series"
    - 3.4.8. Topology | 72, 575, 16 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.8.1. Neighbourhood (mathematics) | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
      - 3.4.8.2. Topological space | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
      - 3.4.8.3. Manifold | 164, 414, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
        
        3.4.8.3.1. Atlas (topology) | 25, 25, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Manifold"
        
        3.4.8.3.1.1. Coordinate chart | 🔗 link | 🗖 nosplit | ↑ parent "Atlas"
        
        3.4.8.3.2. Covariant derivative | 39 | 🔗 link | 🗖 nosplit | ↑ parent "Manifold"
        
        3.4.8.3.3. Tangent space | 128, 140, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Manifold"
        
        3.4.8.3.3.1. Tangent vector to a manifold | 12 | 🔗 link | 🗖 nosplit | ↑ parent "Tangent space"
        
        3.4.8.3.4. One-form | 46 | 🔗 link | 🗖 nosplit | ↑ parent "Manifold"
      - 3.4.8.4. Metric (mathematics) | 0, 10, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
        
        3.4.8.4.1. Metric space | 10 | 🔗 link | 🗖 nosplit | ↑ parent "Metric"
      - 3.4.8.5. Complete metric space | 44 | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
      - 3.4.8.6. Dense set | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
      - 3.4.8.7. Real coordinate space ( $R^{n}$ ) | 0, 23, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Topology"
        
        3.4.8.7.1. Euclidean space | 23, 23, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Real coordinate space"
        
        3.4.8.7.1.1. Non-Euclidean geometry | 🔗 link | 🗖 nosplit | ↑ parent "Euclidean space"
    - 3.4.9. Distribution (mathematics) | 56, 131, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.9.1. Dirac delta function | 75 | 🔗 link | 🗖 nosplit | ↑ parent "Distribution"
    - 3.4.10. Complex analysis | 14, 277, 6 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
      - 3.4.10.1. Holomorphic function | 69 | 🔗 link | 🗖 nosplit | ↑ parent "Complex analysis"
      - 3.4.10.2. Analytic continuation | 52, 194, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Complex analysis"
        
        3.4.10.2.1. Visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) | 16 | 🔗 link | 🗖 nosplit | ↑ parent "Analytic continuation"
        
        3.4.10.2.2. Identity theorem | 92, 126, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Analytic continuation"
        
        3.4.10.2.2.1. Riemann zeta function | 0, 34, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Identity theorem"
        
        3.4.10.2.2.1.1. Riemann hypothesis | 34 | 🔗 link | 🗖 nosplit | ↑ parent "Riemann zeta function"
    - 3.4.11. Hilbert space | 34 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.12. Differential equation | 0, 3k, 60 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.13. Taylor series | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.14. Gradient, Divergence, Curl, and Laplacian | 0, 306, 7 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
    - 3.4.15. Infinitesimal | 24 | 🔗 link | 🗖 nosplit | ↑ parent "Calculus"
  - 3.5. Discrete mathematics | 0, 0, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.5.1. Graph (discrete mathematics) | 🔗 link | 🗖 nosplit | ↑ parent "Discrete mathematics"
  - 3.6. Functional equation | 0, 13, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.6.1. Cauchy's functional equation | 13 | 🔗 link | 🗖 nosplit | ↑ parent "Functional equation"
  - 3.7. Game theory | 0, 152, 4 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.7.1. Nash equilibrium | 142, 152, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Game theory"
  - 3.8. Geometry | 0, 2k, 32 | 🔗 link | 🗖 nosplit | ↑ parent "Mathematics"
    - 3.8.1. Sphere | 0, 11, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Geometry"
      - 3.8.1.1. 3-sphere ( $S^{3}$ ) | 11 | 🔗 link | 🗖 nosplit | ↑ parent "Sphere"
    - 3.8.2. Four-dimensional space (4D) | 10, 38, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Geometry"
      - 3.8.2.1. Visualizing 4D | 28 | 🔗 link | 🗖 nosplit | ↑ parent "Four-dimensional space"
    - 3.8.3. Polytope | 0, 256, 3 | 🔗 link | 🗖 nosplit | ↑ parent "Geometry"
      - 3.8.3.1. Regular polytope | 5, 256, 2 | 🔗 link | 🗖 nosplit | ↑ parent "Polytope"
        
        3.8.3.1.1. Platonic solid | 38 | 🔗 link | 🗖 nosplit | ↑ parent "Regular polytope"
        
        3.8.3.1.2. Classification of regular polytopes | 213 | 🔗 link | 🗖 nosplit | ↑ parent "Regular polytope"
    - 3.8.4. Differential geometry | 10, 1k, 23 | 🔗 link | 🗖 nosplit | ↑ parent "Geometry"
      - 3.8.4.1. Lie group | 217, 1k, 22 | 🔗 link | 🗖 nosplit |