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Polynomial
...
Mathematics
Area of mathematics
Formalization of mathematics
Function
Function by signature
Numeric function
OurBigBook.com
words: 874
articles: 56
Table of contents
874
56
Degree of a polynomial
Polynomial
Algebraic equation
(Polynomial equation)
Polynomial
149
15
Named algebraic equation
Algebraic equation
7
Quadratic equation
Named algebraic equation
2
Quadratic equation modulo n
(Quadratic equation over a cyclic group)
Quadratic equation
Quadratic formula
Quadratic equation
Cubic equation
Named algebraic equation
Quartic equation
Named algebraic equation
Quintic equation
Named algebraic equation
1
Abel-Ruffini theorem
Quintic equation
Algebraic equation over a field
Algebraic equation
10
Algebraic equation modulo n
Algebraic equation
Algebraic number
(Root of a polynomial)
Algebraic equation
139
4
Algebraic number field
(
Q
)
Algebraic number
106
Algebraic function
(Root of a polynomial)
Algebraic number
2
Transcendental number
Algebraic number
31
1
Transcendental number conjecture
Transcendental number
23
Diophantine equation
Polynomial
263
28
Pythagorean triple
(
a
2
+
b
2
=
c
2
)
Diophantine equation
13
7
Euclid's formula
Pythagorean triple
4
2
There are infinitely many Pythagorean triples
Euclid's formula
4
Euclid's formula generates all Pythagorean triples
Euclid's formula
Classification of Pythagorean triples
Pythagorean triple
Taxicab number
Pythagorean triple
Fermat's last theorem
Pythagorean triple
9
1
Andrew Wiles
Fermat's last theorem
3
Hilbert's tenth problem
(1970, Determine if one Diophantine equation has a solution)
Diophantine equation
87
7
Hilbert's tenth problem variant
Hilbert's tenth problem
38
6
Decidability of Hilbert's tenth problem in modular arithmetic
Hilbert's tenth problem variant
11
Decidability of Hilbert's tenth problem of a given degree and number of variables
Hilbert's tenth problem variant
12
3
Quadratic Diophantine equation
Decidability of Hilbert's tenth problem of a given degree and number of variables
Hilbert's tenth problem is decidable for quadratic equations
Decidability of Hilbert's tenth problem of a given degree and number of variables
6
Undecidable Diophantine equation example
Decidability of Hilbert's tenth problem of a given degree and number of variables
6
Hilbert's tenth problem over other rings
Hilbert's tenth problem variant
15
Additive number theory
Diophantine equation
114
11
Additive basis
Additive number theory
114
10
Additive basis theorem
Additive basis
114
9
Waring's problem
(Every number is a sum of
g
positive numbers to the power of
k
)
Additive basis theorem
114
8
Waring's problem for squares
Waring's problem
25
3
Lagrange's four-square theorem
(Every natural number is a sum of four squares, 1770)
Waring's problem for squares
Legendre's three-square theorem
(iff not of form
4
a
(
8
b
+
7
)
, 1770)
Waring's problem for squares
Sum of two squares theorem
Waring's problem for squares
Waring problem variant
Waring's problem
73
3
Waring problem with negative numbers allowed
Waring problem variant
51
1
Sum of three cubes
(Every number has infinitely many representations as the sum of three cubes)
Waring problem with negative numbers allowed
51
Waring-Goldbach problem
Waring problem variant
22
Named small order polynomial
Polynomial
11
1
Linear polynomial
Named small order polynomial
11
Galois theory
Polynomial
Irreducible polynomial
Polynomial
Multivariate polynomial
Polynomial
44
Domain of a polynomial
Polynomial
396
3
Polynomial over a field
(
F
i
e
l
d
[
X
]
)
Domain of a polynomial
239
Polynomial over a ring
Domain of a polynomial
127
Polynomial over a commutative ring
Domain of a polynomial
30
Polynomial ring
Polynomial
11
Ancestors
(7)
Numeric function
Function by signature
Function
Formalization of mathematics
Area of mathematics
Mathematics
Home
Incoming links
(6)
Diophantine equation
Hilbert's problems
Linear polynomial
Multivariate polynomial
Polynomial over a commutative ring
Polynomial over a ring
Ciro Santilli
OurBigBook.com