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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
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
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
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
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
Field of machine learning
two main approaches for achieving this are value function estimation and direct policy search. Value function approaches attempt to find a policy that maximizes
Reinforcement_learning
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
Operation in differential calculus
the mean-value theorem hold for the symmetric derivative; some similar but weaker statements have been proved. For the absolute value function f ( x )
Symmetric_derivative
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
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
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
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
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
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
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
Model-free reinforcement learning algorithm
K\}} is the smallest value which improves the sample loss and satisfies the sample KL-divergence constraint. Fit value function by regression on mean-squared
Proximal_policy_optimization
Mathematical function whose derivative exists
or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable
Differentiable_function
Theory of behavioral economics
It introduces a value function defined over gains and losses rather than final wealth, as well as a probability-weighting function that reflects the
Prospect_theory
Variable that represents an argument to a function
arguments are passed to a function. Generally, with call by value, a parameter acts like a new, local variable initialized to the value of the argument. If
Parameter (computer programming)
Parameter_(computer_programming)
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
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
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
mathematics, proto-value functions (PVFs) are automatically learned basis functions that are useful in approximating task-specific value functions, providing
Proto-value_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
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)
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
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
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
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
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)
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
Complex-differentiable (mathematical) function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood
Holomorphic_function
Matrix of second derivatives
second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables. The Hessian matrix
Hessian_matrix
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
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)
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
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
Reinforcement learning algorithms
function π ( a | s ) {\displaystyle \pi (a|s)} , while the critic estimates either the value function V ( s ) {\displaystyle V(s)} , the action-value
Actor-critic_algorithm
Continuous real function on a closed interval has a maximum and a minimum
In real analysis, the extreme value theorem states that if a real-valued function f {\displaystyle f} is continuous on the closed and bounded interval
Extreme_value_theorem
Necessary condition for optimality associated with dynamic programming
relationship between the value function in one period and the value function in the next period. The relationship between these two value functions is called the
Bellman_equation
Logarithm to the base of the mathematical constant e
logarithm function, if considered as a real-valued function of a positive real variable, is the inverse function of the exponential function, leading to
Natural_logarithm
Class of reinforcement learning algorithms
methods. Unlike value-based methods which learn a value function to derive a policy, policy optimization methods directly learn a policy function π {\displaystyle
Policy_gradient_method
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
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
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
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
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
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
Class of reinforcement learning algorithm
this framework, each policy is first evaluated by its corresponding value function. Then, based on the evaluation result, greedy search is completed to
Model-free (reinforcement learning)
Model-free_(reinforcement_learning)
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
Assignment of numbers to points in space
Mathematically, a scalar field on a region U is a real or complex-valued function or distribution on U. The region U may be a set in some Euclidean space
Scalar_field
Loss function used in robust regression
&{\text{otherwise.}}\end{cases}}} This function is quadratic for small values of a, and linear for large values, with equal values and slopes of the different sections
Huber_loss
Differentiable function whose derivative is not Riemann integrable
In mathematics, Volterra's function, named for Vito Volterra, is a real-valued function V defined on the real line R with the following curious combination
Volterra's_function
Method of mathematical integration
the values of a function freely, while preserving the value of the integral. This process of rearrangement can convert a very pathological function into
Lebesgue_integral
Point where a mathematical object behaves irregularly
reciprocal function f ( x ) = 1 / x {\displaystyle f(x)=1/x} has a singularity at x = 0 {\displaystyle x=0} , where the value of the function is not defined
Singularity_(mathematics)
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
Functions such that f(–x) equals f(x) or –f(x)
odd, the absolute value of that function is an even function. The sum of two even functions is even. The sum of two odd functions is odd. The difference
Even_and_odd_functions
Optimality condition in optimal control theory
conditions for optimality of a control with respect to a loss function. Its solution is the value function of the optimal control problem which, once known, can
Hamilton–Jacobi–Bellman equation
Hamilton–Jacobi–Bellman_equation
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
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
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
Mathematical functions
{\displaystyle \sinh ^{-1}} ). For a given value of a hyperbolic function, the inverse hyperbolic function provides the corresponding hyperbolic angle
Inverse_hyperbolic_functions
Study of rates of change
the graph of the function at that point, provided that the derivative exists and is defined at that point. For a real-valued function of a single real
Differential_calculus
Theorem in real analysis
Rolle's theorem (or lemma) states that a real-valued differentiable function which attains equal values at two distinct points must have a stationary
Rolle's_theorem
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
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
Function related to statistics and probability theory
function of θ {\textstyle \theta } , a possible value of the deterministic but unknown parameter Θ {\textstyle \Theta } , is the likelihood function,
Likelihood_function
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
Generalization of derivatives to real-valued functions
interval of the real line. Such a function need not be differentiable at all points: For example, the absolute value function f ( x ) = | x | {\displaystyle
Subderivative
Method by which value is transferred between parties
Silvio Gesell believed that the function of money as a store of value is fundamentally incompatible with its function as a medium of exchange for maximum
Medium_of_exchange
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
Theorem in mathematics
complex-valued functions of a complex variable. It generalizes to functions from n-tuples (of real or complex numbers) to n-tuples, and to functions between
Inverse_function_theorem
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
Angle of complex number about real axis
real-valued angle is considered, the argument is a multivalued function operating on the nonzero complex numbers. The principal value of this function is
Argument_(complex_analysis)
Strong form of uniform continuity
number such that, for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is not greater than
Lipschitz_continuity
Mathematical function
considered such functions are the real functions, which are the real-valued functions of a real variable, that is, the functions of a real variable whose codomain
Function_of_a_real_variable
Type of mathematical function
global analytic functions, defined (possibly with multiple values, such as the elementary function z {\displaystyle {\sqrt {z}}} or log z {\displaystyle
Elementary_function
Mathematical transform that expresses a function of time as a function of frequency
complex valued function of frequency. The term Fourier transform refers to both the mathematical operation and to this complex-valued function. When a
Fourier_transform
Integral expressing the amount of overlap of one function as it is shifted over another
The integral is evaluated for all values of shift, producing the convolution function. The choice of which function is reflected and shifted before the
Convolution
Mathematical function with multiple real-number arguments
function of a real variable to several variables. The "input" variables take real values, while the "output", also called the "value of the function"
Function of several real variables
Function_of_several_real_variables
Software programming optimization technique
through 6 proportional to the initial value of n. A memoized version of the factorial function follows: function factorial (n is a non-negative integer)
Memoization
Logarithm of a complex number
equally spaced along a vertical line in the complex plane. A complex-valued function log : U → C {\displaystyle \log \colon U\to \mathbb {C} } , defined
Complex_logarithm
Function that attains finitely many values
analysis, a simple function is a real (or complex)-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently
Simple_function
Mathematics of real numbers and real functions
only finitely many terms. A function approaches a limit if the values of the function are as close as desired to the limit value, over a sufficiently small
Real_analysis
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 computable with bounded loops
\end{cases}}\end{aligned}}} Interpretation: The function f {\displaystyle f} acts as a for-loop from 0 {\displaystyle 0} up to the value of its first argument. The rest
Primitive_recursive_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
VALUE FUNCTION
VALUE FUNCTION
Boy/Male
Muslim
Value, Price
Boy/Male
Arabic, Hindu, Indian, Marathi, Muslim
Powerful; Don; Value
Boy/Male
Arabic
Value
Boy/Male
Indian, Sanskrit
Cost; Value; Significance
Boy/Male
Indian
Value, Price
Boy/Male
Anglo, British, English, Finnish, Swedish
Valley; Usually with a Stream; From the Glen
Girl/Female
Muslim/Islamic
Value Worth
Boy/Male
Arabic, Muslim
Destiny; Dignity; Value
Boy/Male
Hindu, Indian
Value
Boy/Male
Australian, Finnish, Swedish
Value; Worth; Benefit
Boy/Male
Australian, Finnish
Rule
Boy/Male
English
Lives in the valley.
Girl/Female
Arabic, Indian, Muslim, Parsi, Sindhi
Value; Price; Worth
Boy/Male
Gujarati, Hindu, Indian
Value; Inside Trueness
Girl/Female
American, British, English, Italian
Of High Value
Surname or Lastname
English
English : topographic name for someone who lived in a valley, Middle English vale (Old French val, from Latin vallis). The surname is now also common in Ireland, where it has been Gaelicized as de Bhál.Galician and Aragonese : topographic name from val ‘valley’, or habitational name from any of the places named with this word.
Girl/Female
Arabic
Value; Price
Girl/Female
Arabic, Muslim
Superiority; Attribute; Value
Boy/Male
Indian, Parsi
Price; Worth; Value
Girl/Female
American, British, English
Of High Value
VALUE FUNCTION
VALUE FUNCTION
Surname or Lastname
English
English : from the Old English personal name Cula.Americanized spelling of German and Swedish Kall or German Koll.
Girl/Female
Muslim/Islamic
Smart talented
Boy/Male
Biblical
Face or vision of God, that sees God.
Boy/Male
Hindu
One who has taken a terrible vow, Son of Santanu by Ganga in Mahabharat (Son of Shantanu and Ganga, known as the "grandfather" of the Kurus. Although he never became king, he officiated at Hastinapur as regent until Vichitravirya was of age.)
Boy/Male
Hindu
Lord Perumal, Good looking, Lion, Vishnus weapon
Boy/Male
Celtic English
White.
Boy/Male
Gaelic
From the high hill.
Boy/Male
Tamil
Silver flame
Surname or Lastname
German
German : habitational name from any of several places so named, for example in Westphalia and Switzerland.German : nickname from Middle High German heiden ‘heathen’, Old High German heidano, apparently a derivative of heida ‘heath’, modeled on Latin paganus (see Pain 1). The nickname was sometimes used to refer to a Christian knight who had been on a Crusade to fight in the Holy Land.Jewish (Ashkenazic) : of uncertain origin; possibly a shortened form of any of various ornamental names formed with German Heide- ‘heath’, for example Heidenberg, Heidenkorn, Heidenkrug, Heidenwurzel.English : variant spelling of Hayden.Dutch : shortened form of vanderHeiden.
Boy/Male
Muslim
Rocks
VALUE FUNCTION
VALUE FUNCTION
VALUE FUNCTION
VALUE FUNCTION
VALUE FUNCTION
n.
Valor.
n.
Current value; general estimation; the rate at which anything is generally valued.
a.
Highly regarded; esteemed; prized; as, a valued contributor; a valued friend.
v. t.
To estimate the value, or worth, of; to rate at a certain price; to appraise; to reckon with respect to number, power, importance, etc.
v. t.
To be worth; to be equal to in value.
n.
The relative length or duration of a tone or note, answering to quantity in prosody; thus, a quarter note [/] has the value of two eighth notes [/].
v. t.
To raise to estimation; to cause to have value, either real or apparent; to enhance in value.
n.
One who estimates or values; a valuer.
v. t.
To rate highly; to have in high esteem; to hold in respect and estimation; to appreciate; to prize; as, to value one for his works or his virtues.
v. i.
Proceeding from no known authority; unauthenticated; uncertain; flying; as, a vague report.
n.
Value.
n.
One who values; an appraiser.
v. i.
Unsettled; unfixed; undetermined; indefinite; ambiguous; as, a vague idea; a vague proposition.
n.
Precise signification; import; as, the value of a word; the value of a legal instrument
n.
In an artistical composition, the character of any one part in its relation to other parts and to the whole; -- often used in the plural; as, the values are well given, or well maintained.
imp. & p. p.
of Value
a.
Not prized or valued; being without value.