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Mapping arbitrary data to fixed-size values
A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support
Hash_function
Topics referred to by the same term
Function value may refer to: In mathematics, the value of a function when applied to an argument. In computer science, a closure. This disambiguation page
Function_value
Constants of the mathematical zeta function
partial sums would grow indefinitely large. The zeta function values listed below include function values at the negative even numbers ( s = − 2 , − 4 {\displaystyle
Particular values of the Riemann zeta function
Particular_values_of_the_Riemann_zeta_function
Association of one output to each input
possible applications of the concept. A function is often denoted by a letter such as f, g or h. The value of a function f at an element x of its domain (that
Function_(mathematics)
Distance from zero to a number
the absolute value function is idempotent (meaning that the absolute value of any absolute value is itself). The absolute value function of a real number
Absolute_value
Description of continuous random distribution
probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function whose value at any given point
Probability_density_function
Mathematical function with convex lower level sets
In mathematics, a quasiconvex function is a real-valued function defined on a convex subset of a real vector space, such that for any real number y, the
Quasiconvex_function
Mathematical function with no sudden changes
a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies
Continuous_function
Generalized mathematical function
a multivalued function, multiple-valued function, many-valued function, or multifunction, is a function that has two or more values in its range for
Multivalued_function
Branch of mathematics studying functions of a complex variable
real-valued. In other words, a complex function f : C → C {\displaystyle f:\mathbb {C} \to \mathbb {C} } may be decomposed into two real-valued functions (
Complex_analysis
Function used as a performance test problem for optimization algorithms
x_{0}=(-3,-4)} . The solution with the function value 10 − 10 {\displaystyle 10^{-10}} can be found after 325 function evaluations. Using the Nelder–Mead
Rosenbrock_function
Mathematical function that outputs real values
In mathematics, a real-valued function is a function whose values are real numbers. In other words, it is a function that assigns a real number to each
Real-valued_function
Function valued in a vector space; typically a real or complex one
A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional
Vector-valued_function
Point where function's value is zero
sometimes called a root) of a real-, complex-, or generally vector-valued function f {\displaystyle f} , is a member x {\displaystyle x} of the domain
Zero_of_a_function
Special mathematical function defined as sin(x)/x
both cases, the value of the function at the removable singularity at zero is understood to be the limit value 1. The sinc function is then analytic
Sinc_function
Maximized objective function of an optimization problem
The value function of an optimization problem gives the value attained by the objective function at a solution, while only depending on the parameters
Value_function
Extension of the factorial function
the second kind. (Euler's integral of the first kind is the beta function.) The value Γ ( 1 ) {\displaystyle \Gamma (1)} can be calculated as Γ ( 1 ) =
Gamma_function
S-shaped curve
{\displaystyle L} is the carrying capacity, the supremum of the values of the function; k {\displaystyle k} is the logistic growth rate, the steepness
Logistic_function
Concept in economics and decision theory
the same utility value. Individual and social utility can be construed as the value of a utility function and a social welfare function, respectively. When
Utility
Theorem in mathematics
and real analysis, the mean value theorem (or Lagrange's mean value theorem) is a theorem about differentiable functions, roughly stating that the average
Mean_value_theorem
Mathematical function having a characteristic S-shaped curve or sigmoid curve
values of x) and the ogee curve (used in the spillway of some dams). Sigmoid functions have domain of all real numbers, with return (response) value commonly
Sigmoid_function
Notion in mathematics
as values. The value of a function, given the value(s) assigned to its argument(s), is the quantity assumed by the function for these argument values. For
Value_(mathematics)
Average value of a random variable
function given by a function f {\displaystyle f} on the real number line. This means that the probability of X {\displaystyle X} taking on any value in
Expected_value
Mathematical constants
The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer, half-integer, and
Particular values of the gamma function
Particular_values_of_the_gamma_function
Mathematical relation assigning a probability event to a cost
decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables
Loss_function
Mathematical function, denoted exp(x) or e^x
mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted e x
Exponential_function
Sigmoid shape special function
applications, the function argument is a real number, in which case the function value is also real. In some older texts, the error function is defined without
Error_function
Function that returns its argument unchanged
an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used
Identity_function
Point to which functions converge in analysis
the concept of limit: roughly, a function is continuous if all of its limits agree with the values of the function. The concept of limit also appears
Limit_of_a_function
Study of mathematical algorithms for optimization problems
minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization
Mathematical_optimization
Probability that random variable X is less than or equal to x
cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,
Cumulative distribution function
Cumulative_distribution_function
Indicator function of positive numbers
function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside, the value
Heaviside_step_function
Continuous function on an interval takes on every value between its values at the ends
mathematical analysis, the intermediate value theorem states that if f {\displaystyle f} is a continuous function whose domain contains the interval [a
Intermediate_value_theorem
Negative of a convex function
In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to
Concave_function
Function whose values are sets (mathematics)
A set-valued function, also called a correspondence or set-valued relation, is a mathematical function that maps elements from one set, the domain of the
Set-valued_function
Function returning one of only two values
In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1
Boolean_function
Functions in mathematics
convergent sequence of harmonic functions is still harmonic. This is true because every continuous function satisfying the mean value property is harmonic. Consider
Harmonic_function
Real function with secant line between points above the graph itself
mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the
Convex_function
Instantaneous rate of change (mathematics)
to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists
Derivative
Subfield of number theory
In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula
Special_values_of_L-functions
Function returning minus 1, zero or plus 1
In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether
Sign_function
Linear combination of indicator functions of real intervals
also a step function. As such, the step functions form an algebra over the real numbers. A step function takes only a finite number of values. If the intervals
Step_function
Type of mathematical function
mathematics, a constant function is a function whose (output) value is the same for every input value. As a real-valued function of a real-valued argument, a constant
Constant_function
Uniform restraint of the change in functions
positive real number δ {\displaystyle \delta } such that function values over any function domain interval of the size δ {\displaystyle \delta } are
Uniform_continuity
Nearest integers from a number
the floor function for negative numbers. For an integer n, ⌊n⌋ = ⌈n⌉ = n. Although floor(x + 1) and ceil(x) are equal for non-integer values of x, and
Floor_and_ceiling_functions
Hash function that is suitable for use in cryptography
level of a cryptographic hash function has been defined using the following properties: Pre-image resistance Given a hash value h, it should be difficult
Cryptographic_hash_function
Program function without side effects
In computer programming, a pure function is a function that has the following properties: the function return values are identical for identical arguments
Pure_function
Function used in signal processing
statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen
Window_function
Concept in game theory
coalition (set of players) S {\displaystyle S} , we define the payoff or value function v ( S ) {\displaystyle v(S)} as the total sum of payoffs that the members
Shapley_value
Algorithms in numerical analysis
from a function fitted to the function-values and derivative-values at a preceding set of points to extrapolate ("anticipate") this function's value at a
Predictor–corrector_method
Largest and smallest value taken by a function at a given point
analysis, the maximum and minimum of a function are, respectively, the greatest and least value taken by the function. Known generically as extrema, they
Maximum_and_minimum
Discrete-variable probability distribution
exactly equal to some value. Sometimes it is also known as the discrete probability density function. The probability mass function is often the primary
Probability_mass_function
Function with a multiplicative scaling behaviour
the function's arguments is multiplied by the same scalar, then the function's value is multiplied by some power of this scalar; the power is called the
Homogeneous_function
mathematics, proto-value functions (PVFs) are automatically learned basis functions that are useful in approximating task-specific value functions, providing
Proto-value_function
Function that is continuous everywhere but differentiable nowhere
mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere
Weierstrass_function
Operation in mathematical calculus
non-negative integer value of k {\displaystyle k} . He used the results to carry out what would now be called an integration of this function, where the formulae
Integral
Properties of mathematical relationships
also referred to as being a "linear function", and the relationship between the argument and the function value may be referred to as a "linear relationship"
Linearity
Mathematical concept
example, consider the real-valued function of a real variable given by f(x) = 5x − 7. One can think of f as the function which multiplies its input by
Inverse_function
Function in logic
In logic, a truth function is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and
Truth_function
All derivatives have the intermediate value property
theorem states that the derivative of any real-valued function of a real variable has the intermediate value property, that is, that the image of an interval
Darboux's_theorem_(analysis)
Function that is holomorphic on the whole complex plane
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane
Entire_function
Fourier transform of the probability density function
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution.
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Mathematical function defined piecewise by polynomials
In this case, a spline is a piecewise polynomial function. This function, call it S, takes values from an interval [a,b] and maps them to R , {\displaystyle
Spline_(mathematics)
Distribution function associated with the empirical measure of a sample
cumulative distribution function is a step function that jumps up by 1/n at each of the n data points. Its value at any specified value of the measured variable
Empirical distribution function
Empirical_distribution_function
Matrix of partial derivatives of a vector-valued function
calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Analytic function in mathematics
zeta function that many mathematicians consider the most important unsolved problem in pure mathematics. The values of the Riemann zeta function at even
Riemann_zeta_function
Function that outputs either true or false
A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B
Boolean-valued_function
Public-key cryptographic pseudorandom function
The owner of the secret key can compute the function value as well as an associated proof for any input value. Everyone else, using the proof and the associated
Verifiable_random_function
Mathematical functions having established names and notations
functions. Before electronic computation, the importance of a special function was affirmed by the laborious computation of extended tables of values
Special_functions
Type of problem involving ODEs or PDEs
finding the harmonic functions (solutions to Laplace's equation); the solution was given by the Dirichlet's principle. Boundary value problems are similar
Boundary_value_problem
Type of function in linear algebra
sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm, on a vector space is a real-valued function with
Sublinear_function
Generalized function whose value is zero everywhere except at zero
continuous function f. The implication is that the Fourier series of any continuous function is Cesàro summable to the value of the function at every point
Dirac_delta_function
Function used as a performance test problem for optimization algorithms
} where f ( x ) = 0 {\displaystyle f(\mathbf {x} )=0} . The maximum function value for x i ∈ [ − 5.12 , 5.12 ] {\displaystyle x_{i}\in [-5.12,5.12]} is
Rastrigin_function
Concept in theoretical computer science
It is extremely hard to prove values for the busy beaver function (and the max shift function). Every known exact value of S(n) was proven by enumerating
Busy_beaver
Special function defined by an integral
approximation to the prime-counting function, which is defined as the number of prime numbers less than or equal to a given value x. The logarithmic integral
Logarithmic_integral_function
On finding a repeating loop in a sequence
iterated function values. For any function f that maps a finite set S to itself, and any initial value x0 in S, the sequence of iterated function values x 0
Cycle_detection
Concept in probability theory and statistics
theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative specification
Moment_generating_function
Function with a repeating pattern
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves
Periodic_function
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Smooth approximation of one-hot arg max
function is a smooth approximation to the arg max function: the function whose value is the index of a tuple's largest element. The name "softmax" may
Softmax_function
Function defined by multiple sub-functions
mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned
Piecewise_function
Type of energy
the value of the work function. The observed data from these effects can be fitted to simplified theoretical models, allowing one to extract a value of
Work_function
Mathematical function, inverse of an exponential function
tends to be a multi-valued function. For example, the complex logarithm is the multi-valued inverse of the complex exponential function. Similarly, the discrete
Logarithm
Extension of cubic spline interpolation
different interpolation artifacts, depending on the b and c values chosen. Suppose the function values f {\displaystyle f} and the derivatives f x {\displaystyle
Bicubic_interpolation
Method for estimating new data within known data points
the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of
Interpolation
Type of function in mathematics
becomes analytic as a function of t {\displaystyle t} . Typical examples of functions that are not analytic are The absolute value function x ↦ | x | {\displaystyle
Analytic_function
Characteristic of an optical system
the absolute value of the optical transfer function, a function commonly referred to as the modulation transfer function (MTF). Its values indicate how
Optical_transfer_function
Type of boundary condition in mathematics
boundary condition specifies a linear combination of the value of a function and the value of its derivative at the boundary of a given domain. It is
Robin_boundary_condition
Engineering analysis that maximizes function-to-cost ratio
functionality. Value, as defined, is the ratio of function to cost. Value can therefore be manipulated by either improving the function or reducing the
Value_engineering
efficient algorithm for bound constrained global optimization using function values only. To do so, the n-dimensional search space is represented by a
MCS_algorithm
Continuous function that is not absolutely continuous
derivative almost everywhere, its value still goes from 0 to 1 as its argument goes from 0 to 1. Thus, while the function seems like a constant one that
Cantor_function
Specific values of a multivalued function
branch that takes a real value for small positive values of the variable. A principal value is the value at a point of the function defined by the principal
Principal_value
Use of numerical analysis to estimate derivatives of functions
algorithms estimate the derivative of a mathematical function or subroutine using values of the function. Unlike analytical differentiation, which provides
Numerical_differentiation
Sequence of program instructions invokable by other software
as COBOL and BASIC, make a distinction between functions that return a value (typically called "functions") and those that do not (typically called "subprogram"
Function (computer programming)
Function_(computer_programming)
Function that derives secret keys from a secret value
cryptography, a key derivation function (KDF) is a cryptographic algorithm that derives one or more secret keys from a secret value such as a master key, a password
Key_derivation_function
In mathematics, an integer-valued function is a function whose values are integers. In other words, it is a function that assigns an integer to each member
Integer-valued_function
Polynomial function of degree two
In mathematics, a quadratic function of a single variable is a function of the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c
Quadratic_function
Method to solve optimization problems
is defined by a linear inequality. Its objective function is a real-valued affine (linear) function defined on this polytope. A linear programming algorithm
Linear_programming
Philosophical concept
value and utility derived from the function and the primary use of the object. For example, the buyer of a Rolls-Royce limousine might partly value the
Sign_value
Value approached by a mathematical object
a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. Limits of functions are essential to
Limit_(mathematics)
FUNCTION VALUE
FUNCTION VALUE
Surname or Lastname
English
English : topographic name for someone who lived by a watercourse or road junction, Old English gelǣt, or a habitational name from Leat in Devon, or The Leete in Essex, named with this element.
Surname or Lastname
English, Scottish, Dutch, and German
English, Scottish, Dutch, and German : metonymic occupational name for a herring fisher or for a seller of the fish, Middle English hering, Dutch haring, Middle High German hærinc. In some cases it may have been a nickname in the sense of a trifle, something of little value, a meaning which is found in medieval phrases and proverbial expressions such as ‘to like neither herring nor barrel’, i.e. not to like something at all.German : habitational name from Herringen in Westphalia.Dutch : from a personal name, a derivative of a Germanic compound name with the first element hari, heri ‘army’.Jewish (Ashkenazic) : variant spelling of Hering.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
Tamil
Sanskar | ஸஂஸà¯à®•à®¾à®°
Good ethics and moral values
Sanskar | ஸஂஸà¯à®•à®¾à®°
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Girl/Female
Bengali, Indian
Fraction of Time
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Boy/Male
Hindu
Honored by many, Universally respected and valued
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from a place in the parish of Wigan (now in Greater Manchester), so called from Old English mearc ‘boundary’ + lanu ‘lane’.English (Lancashire) : topographic name for someone who lived by a stretch of border or boundary land (see Mark) or a status name for someone who held land with an annual value of one mark.
Biblical
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Boy/Male
French Greek
Cyrano de Bergerac was a seventeenth-century soldier and science-fiction writer.
Boy/Male
Tamil
Ruby, Valued, Honoured, Gem
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Girl/Female
Tamil
Ankshika | அஂகà¯à®·à¯€à®•à®¾
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Ankshika | அஂகà¯à®·à¯€à®•à®¾
Girl/Female
Hindu, Indian
Fraction of the Cosmos
Boy/Male
Tamil
Priyangu | பà¯à®°à®¿à®¯à®‚கà¯
It means one who is loving and charming. its actually a flower which has medicinal values
Priyangu | பà¯à®°à®¿à®¯à®‚கà¯
Girl/Female
Indian
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Boy/Male
Indian
Value, Price
Boy/Male
Indian
Friction
Girl/Female
Afghan, Arabic, Australian, Indian, Muslim
Fiction; Romance; Story
FUNCTION VALUE
FUNCTION VALUE
Girl/Female
Hebrew
Grace.
Male
English
English form of Roman Latin Livius, possibly LIVY means "bluish."
Girl/Female
Muslim
Student
Boy/Male
Arabic, Muslim
Unfettered Camel; Variant of Musad
Male
Croatian
, cross of peace.
Boy/Male
Indian, Sanskrit
Mighty Fire
Male
Hebrew
(×ֶדï‹×) Hebrew name EDOM means "red." In the bible, this is the name of an ancient kingdom, and a name applied to Esau and his descendants.
Surname or Lastname
English
English : variant of Vicker, from the Middle English variant vicarie, derived directly from Latin vicarius. The English surname is also established in Cork, Ireland.
Boy/Male
French
Revered.
Girl/Female
Hindu, Indian, Marathi, Tamil, Telugu
Every Moment
FUNCTION VALUE
FUNCTION VALUE
FUNCTION VALUE
FUNCTION VALUE
FUNCTION VALUE
v. t.
To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out; as, to fraction out a certain grade of oil from pretroleum.
v. t.
To give sanction to; to ratify; to confirm; to approve.
n.
The act of anointing, smearing, or rubbing with an unguent, oil, or ointment, especially for medical purposes, or as a symbol of consecration; as, mercurial unction.
v. t.
To supply with an organ or organs having a special function or functions.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The things sold by auction or put up to auction.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
n.
The office, duties, or functions of a minister, servant, or agent; ecclesiastical, executive, or ambassadorial function or profession.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
n.
An angle upon which the value of some function depends; -- a term used more especially in connection with elliptic functions.
v. t.
The act of uniting, or the state of being united; junction.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
n.
The act of feigning, inventing, or imagining; as, by a mere fiction of the mind.
n.
The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession.
n.
The act of anointing, or the state of being anointed; unction; specifically (Med.), the rubbing of ointments into the pores of the skin, by which medicinal agents contained in them, such as mercury, iodide of potash, etc., are absorbed.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
v. t.
To sell by auction.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
v. i.
Alt. of Functionate