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Function by signature
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Mathematics
Area of mathematics
Formalization of mathematics
Function (mathematics)
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Words: 2k
Articles: 86
In this section we classify some functions by the type of inputs and outputs they take and produce.
Table of contents
2k
86
Functional function
Function by signature
11
1
Convolution
Functional function
Set function
Function by signature
38
2
Cartesian product
Set function
9
Direct product
Set function
19
Numeric function
Function by signature
2k
80
Addition
Numeric function
Subtraction
Numeric function
Multiplication
Numeric function
Division
Numeric function
Exponentiation
Numeric function
623
13
nth root
Exponentiation
1
Square root
nth root
Exponentiation functional equation
Exponentiation
20
Exponential function
Exponentiation
603
9
Exponential function differential equation
Exponential function
41
Definition of the exponential function
Exponential function
430
2
Taylor expansion definition of the exponential function
Definition of the exponential function
63
Product definition of the exponential function
Definition of the exponential function
367
Gaussian function
Exponential function
Logarithm
Exponential function
Matrix exponential
Exponential function
132
2
Logarithm of a matrix
Matrix exponential
71
1
Existence of the matrix logarithm
Logarithm of a matrix
71
Polynomial
Numeric function
923
56
Degree of a polynomial
Polynomial
Algebraic equation
Polynomial
198
15
Named algebraic equation
Algebraic equation
17
7
Quadratic equation
Named algebraic equation
2
Quadratic equation modulo n
Quadratic equation
Quadratic formula
Quadratic equation
Cubic equation
Named algebraic equation
Quartic equation
Named algebraic equation
Quintic equation
Named algebraic equation
17
1
Abel-Ruffini theorem
Quintic equation
17
Algebraic equation over a field
Algebraic equation
10
Algebraic equation modulo n
Algebraic equation
Algebraic number
Algebraic equation
171
4
Algebraic number field
Algebraic number
106
Algebraic function
Algebraic number
2
Transcendental number
Algebraic number
63
1
Transcendental number conjecture
Transcendental number
54
Diophantine equation
Polynomial
263
28
Pythagorean triple
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
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
Additive basis theorem
114
8
Waring's problem for squares
Waring's problem
25
3
Lagrange's four-square theorem
Waring's problem for squares
Legendre's three-square theorem
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
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
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
Step function
Numeric function
1
Heavyside step function
Step function
Integer sequence
Numeric function
4
2
Fibonacci sequence
Integer sequence
Tribonacci
Integer sequence
4
Ancestors
(5)
Function (mathematics)
Formalization of mathematics
Area of mathematics
Mathematics
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