Functions
Topics in mathematicsStatisticsCalculus and analysisGeometryDiscrete mathematicsFoundationsBasicsAlgebraStatistics and probabilityApplied mathematicsFunctionsMathematicsTheoretical computer scienceFrom Lably lessonsNumber theoryOtherCounting and numbersGeometry and topologyApplied MathematicsGeneralAnalysisArithmeticProbability and statistics
A
- Absolute valueDistance from zero to a number
- Additive functionFunction that can be written as a sum over prime factors
- Algebraic fractionSort of mathematical expression
- Algebraic functionMathematical function
- Analytic functionType of function in mathematics
- Analytic signalIn mathematics and signal processing, an analytic signal is a complex-valued function that
- Arg maxIn mathematics, the arguments of the maxima (abbreviated arg max or argmax) and arguments
- Arithmetic functionFunction whose domain is the positive integers
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C
- Common logarithmMathematical function
- Completely multiplicative functionIn number theory, functions of positive integers which respect products are important and
- Complex logarithmLogarithm of a complex number
- Constant functionType of mathematical function
- Cube rootNumber whose cube is a given number
- Cubic functionPolynomial function of degree 3
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E
- Elementary functionType of mathematical function
- Elliptic functionClass of periodic mathematical functions
- Entire functionFunction that is holomorphic on the whole complex plane
- Error functionSigmoid shape special function
- Euler functionIn mathematics, the Euler function is given by
- Euler's totient functionNumber of integers coprime to and less than n
- Even and odd functionsFunctions such that f(–x) equals f(x) or –f(x)
- Exponential growthGrowth of quantities at rate proportional to the current amount
- Exponential integralSpecial function defined by an integral
F
- Fixed point (mathematics)Element mapped to itself by a mathematical function
- Fixed-point theoremCondition for a mathematical function to map some value to itself
- Floor and ceiling functionsNearest integers from a number
- Function of a real variableMathematical function
- Function of several complex variablesType of mathematical functions
- Function of several real variablesMathematical function with multiple real-number arguments
- Function spaceSet of functions between two fixed sets
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H
I
- Identity functionFunction that returns its argument unchanged
- Implicit functionMathematical relation consisting of a multi-variable function equal to zero
- Injective functionFunction that preserves distinctness
- Injective objectIn mathematics, especially in the field of category theory, the concept of injective objec
- Integer-valued functionIn mathematics, an integer-valued function is a function whose values are integers. In oth
- Inverse hyperbolic functionsMathematical functions
- Inverse trigonometric functionsInverse functions of sin, cos, tan, etc.
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K
L
- Lambert W functionMultivalued function in mathematics
- Likelihood functionFunction related to statistics and probability theory
- Linear function (calculus)Polynomial function of degree at most one
- Liouville's theorem (differential algebra)In mathematics, Liouville's theorem, originally formulated by French mathematician Joseph
M
- Map (mathematics)Function, homomorphism, or morphism
- Möbius functionMultiplicative function in number theory
- Multiplicative functionFunction equal to the product of its values on coprime factors
- Multiplicity (mathematics)Number of times an object must be counted for making true a general formula
- Multivalued functionGeneralized mathematical function
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P
- ParameterVariable used for specification
- Partial functionFunction whose actual domain of definition may be smaller than its apparent domain
- Periodic functionFunction with a repeating pattern
- Piecewise functionFunction defined by multiple sub-functions
- Point estimationParameter estimation via sample statistics
- Prime-counting functionFunction representing the number of primes less than or equal to a given number
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R
- Randomised decision ruleIn statistical decision theory, a randomised decision rule or mixed decision rule is a dec
- Range of a functionSubset of a function's codomain
- Rational functionRatio of polynomial functions
- Real-valued functionMathematical function that outputs real values
- Rectangular functionFunction whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
- Restriction (mathematics)Function with a smaller domain
- Riemann zeta functionAnalytic function in mathematics
S
- Set-valued functionFunction whose values are sets (mathematics)
- Sign functionFunction returning minus 1, zero or plus 1
- Sine and cosineFundamental trigonometric functions
- Square (algebra)Product of a number by itself
- Step functionLinear combination of indicator functions of real intervals
- Stirling's approximationApproximation for factorials
- Surjective functionMathematical function such that every output has at least one input

