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programming, a function f is said to be strict if, when applied to a non-terminating expression, it also fails to terminate. A strict function in the denotational
Strict_function
Order-preserving mathematical function
concept called strictly decreasing (also decreasing). A function with either property is called strictly monotone. Functions that are strictly monotone are
Monotonic_function
Real function with secant line between points above the graph itself
distinguished by a number of convenient properties. For instance, a strictly convex function on an open set has no more than one minimum. Even in infinite-dimensional
Convex_function
Mathematical function with convex lower level sets
quasiconcave function is a function whose negative is quasiconvex, and a strictly quasiconcave function is a function whose negative is strictly quasiconvex
Quasiconvex_function
Programming language using strict evaluation
A strict programming language is a programming language that only allows strict functions (functions whose parameters must be evaluated completely before
Strict_programming_language
Function that takes one or more functions as an input or that outputs a function
13 Or with classical syntax: "use strict"; function twice(f) { return function (x) { return f(f(x)); }; } function plusThree(i) { return i + 3; } const
Higher-order_function
Negative of a convex function
f((1−α)x+αy)≥(1−α)f(x)+αf(y) A function is called strictly concave if f((1−α)x+αy)>(1−α)f(x)+αf(y) for any α∈(0,1) and x≠y. For a function f:ℝ→ℝ, this second definition
Concave_function
science, strictness analysis refers to any algorithm used to prove that a function in a non-strict functional programming language is strict in one or
Strictness_analysis
Mathematical property excluding equality
"negative and not equal to zero", respectively. In the context of functions, the adverb "strictly" is used to modify the terms "monotonic", "increasing", and
Strict
Programming language evaluation rules
function's arguments are evaluated completely before the function is applied. This has the effect of making the function strict, i.e. the function's result
Evaluation_strategy
Mathematical set with an ordering
also called strict partial orders. Strict and non-strict partial orders can be put into a one-to-one correspondence, so for every strict partial order
Partially_ordered_set
Topics referred to by the same term
function in programming languages, which fully evaluates all its arguments A strict programming language, where all user-defined functions are strict
Strict_(disambiguation)
In mathematics, strict differentiability is a modification of the usual notion of differentiability of functions that is particularly suited to p-adic
Strict_differentiability
Largest and smallest value taken by a function at a given point
strict global maximum point if and only if it is the unique global maximum point, and similarly for minimum points. A continuous real-valued function
Maximum_and_minimum
Computer programming paradigm
programs. Another potential advantage of the function-level view is the ability to use only strict functions and thereby have bottom-up semantics, which
Function-level_programming
Mathematical ranking of a set
by a function in this way. However, there exist strict weak orders that have no corresponding real function. For example, there is no such function for
Weak_ordering
Function with a multiplicative scaling behaviour
mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied by
Homogeneous_function
Mathematical function
'(z)}{\Gamma (z)}}.} It is the first of the polygamma functions. This function is strictly increasing and strictly concave on ( 0 , ∞ ) {\displaystyle (0,\infty
Digamma_function
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Extension of the factorial function
restricted to the positive real numbers, the gamma function is a strictly logarithmically convex function. This property may be stated in any of the following
Gamma_function
Concept in the philosophy of mathematics
the philosophy of mathematics, ultrafinitism, ultraintuitionism, strict formalism, strict finitism, actualism, predicativism, and strong finitism are various
Ultrafinitism
Statistical function that defines the quantiles of a probability distribution
function or inverse distribution function. With reference to a continuous and strictly increasing cumulative distribution function (c.d.f.) F X : R → [ 0 , 1
Quantile_function
between these two layers is rheologically based and is not necessarily a strict function of depth. Specifically, oceanic lithosphere (lithosphere that comprises
Subcontinental lithospheric mantle
Subcontinental_lithospheric_mantle
Inverse functions of sin, cos, tan, etc.
proper (i.e. strict) subsets of the domains of the original functions. For example, using function in the sense of multivalued functions, just as the
Inverse trigonometric functions
Inverse_trigonometric_functions
Programming language
ActionScript. Hack's type system allows types to be specified for function arguments, function return values, and class properties; however, types of local
Hack_(programming_language)
Mathematical function on ordinals
In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced
Veblen_function
Topics referred to by the same term
Strictly convex may refer to: Strictly convex function, a function having the line between any two points above its graph Strictly convex polygon, a polygon
Strictly_convex
Javascript design pattern
javascript. Notably, immediately invoked functions need not be anonymous inherently, and ECMAScript 5's strict mode forbids arguments.callee, rendering
Immediately invoked function expression
Immediately_invoked_function_expression
Number of partitions of an integer
than once is called strict, or is said to be a partition into distinct parts. The function q(n) gives the number of these strict partitions of the given
Partition function (number theory)
Partition_function_(number_theory)
Mathematical relation making a non-equal comparison
decreasing function. If the inequality is strict (a < b, a > b) and the function is strictly monotonic, then the inequality remains strict. If only one
Inequality_(mathematics)
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
Degree of differentiability of a function or map
converges to the function in some neighborhood of the point. There exist functions that are smooth but not analytic; Cω is thus strictly contained in C∞
Smoothness
Analytic function in mathematics
Riemann zeta function, or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ {\displaystyle \zeta } (zeta), is a function of a complex
Riemann_zeta_function
Mathematical description of quantum state
(quantum numbers) labeling different solutions, the strictly positive function w is called a weight function, and δmn is the Kronecker delta. The integration
Wave_function
Concept in cryptography
ISBN 0-387-16463-4. Vaughn, R.; Borowczak, M. Strict Avalanche Criterion of SHA-256 and Sub-Function-Removed Variants. Cryptography 2024, 8, 40. https://doi
Avalanche_effect
Function computable with bounded loops
recursive functions form a strict subset of those general recursive functions that are also total functions. The importance of primitive recursive functions lies
Primitive_recursive_function
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}
Gaussian_function
Function whose composition with the logarithm is convex
being logarithmically convex is a strictly stronger property than being convex. For example, the squaring function f ( x ) = x 2 {\displaystyle f(x)=x^{2}}
Logarithmically convex function
Logarithmically_convex_function
Strong form of uniform continuity
Banach fixed-point theorem. We have the following chain of strict inclusions for functions over a closed and bounded interval of the real line with non-empty
Lipschitz_continuity
Theorem in economics
relations). As an example, the strict order ">" on real numbers is separable, but not countable. A utility function is a function u : X → R {\displaystyle u:X\to
Utility representation theorem
Utility_representation_theorem
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Operation on mathematical functions
Functional equation Higher-order function Infinite compositions of analytic functions Iterated function Lambda calculus The strict sense is used, e.g., in category
Function_composition
Artificial neural network node function
strictly positive range of the softplus makes it suitable for predicting variances in variational autoencoders. The most common activation functions can
Activation_function
Smooth approximation to the maximum function
\dots ,x_{n}\}}.} The LogSumExp function is convex, and is strictly increasing everywhere in its domain. It is not strictly convex, since it is affine (linear
LogSumExp
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 (nowhere-differentiable function)
Weierstrass_function_(nowhere-differentiable_function)
Programming paradigm based on applying and composing functions
In brief, strict evaluation always fully evaluates function arguments before invoking the function. Lazy evaluation does not evaluate function arguments
Functional_programming
Class of stochastic process
In mathematics and statistics, a stationary process (also called a strict/strictly stationary process or strong/strongly stationary process) is a stochastic
Stationary_process
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
Mathematical theorem in complex analysis
{\displaystyle f} is a holomorphic function, then the modulus | f | {\displaystyle |f|} cannot exhibit a strict maximum that is strictly within the domain of f {\displaystyle
Maximum_modulus_principle
Meromorphic function
recurrence relation and one given function-value, say ψ(m)(1), except in the case m = 0 where the additional condition of strict monotonicity on R + {\displaystyle
Polygamma_function
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Special functions of several complex variables
representations for the strict partition number sequence are compared in the following table: The generating function of the strict partition number sequence
Theta_function
y } {\displaystyle \left\{y~\backepsilon ~x\succcurlyeq y\right\}} The strict upper contour set of x {\displaystyle x} is the set of all y {\displaystyle
Contour_set
Collection of sets in mathematics that can be defined based on a property of its members
"classes". In ZF, the concept of a function can also be generalised to classes. A class function is not a function in the usual sense, since it is not
Class_(set_theory)
Quickly growing function
Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not
Ackermann_function
Concept in the analysis of dynamical systems
scalar function V : R n → R {\displaystyle V:\mathbb {R} ^{n}\to \mathbb {R} } that is continuous, has continuous first derivatives, is strictly positive
Lyapunov_function
Region above a graph
{\displaystyle X\times \mathbb {R} } lying on or above the function's graph. Similarly, the strict epigraph epi S f {\displaystyle \operatorname {epi} _{S}f}
Epigraph_(mathematics)
Mathematical concept
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists
Inverse_function
Mathematical function characterizing set membership
strict true/false valuation of the predicate is replaced by a quantity interpreted as the degree of truth. The indicator or characteristic function of
Indicator_function
Function related to statistics and probability theory
A likelihood function (often simply called the likelihood) gives the relative merit of various statistical models for describing a data set. Often the
Likelihood_function
Class of mathematical functions
{\displaystyle -f} is (strictly) supermodular then f is called (strictly) submodular. A function that is both submodular and supermodular is called modular
Supermodular_function
Electronic test equipment used to generate electrical waveforms
typical function generator can provide frequencies up to 20 MHz. RF generators for higher frequencies are not function generators in the strict sense since
Function_generator
Concept in theoretical computer science
so the time of working of BadS is strictly greater than S(2n0), which contradicts to the definition of the function S(n). The uncomputability of Σ(n)
Busy_beaver
Software optimization technique
implements recursive strictness—for that, a function called deepSeq was invented. Also, pattern matching in Haskell 98 is strict by default, so the ~
Lazy_evaluation
Series of progressive degrees
Masonry through the enforcement of strict discipline, the regulation of functions, etc. By 1768 the Rite of Strict Observance counted some forty lodges
Rite_of_Strict_Observance
Conjecture on zeros of the zeta function
those L-functions that GRH is true or GRH is false is intended; a failure of GRH for the L-function of a cubic Dirichlet character would, strictly speaking
Riemann_hypothesis
Probability distribution
moment-generating function is MX(t)=𝔼[etX]=(1−p+pet)n. Usually the mode of a binomial B(n, p) distribution is equal to ⌊(n+1)p⌋, where ⌊⋅⌋ is the floor function. However
Binomial_distribution
Nearest integers from a number
Floor and ceiling functions In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less
Floor_and_ceiling_functions
Mathematical function with no sudden changes
In mathematics, a continuous function is a function such that a small variation of its argument induces at most a small variation of its value. This implies
Continuous_function
Microeconomic function
function and it is called the Marshallian demand function. If the consumer has strictly convex preferences and the prices of all goods are strictly positive
Marshallian_demand_function
Mathematical function, inverse of an exponential function
continuous strictly monotonic function is bijective between its domain and range. This fact follows from the intermediate value theorem. Now, f is strictly increasing
Logarithm
Higher-order function which returns some fixed point of the input function
combinator (or fixpoint combinator) is a higher-order function (i.e., a function that takes a function as argument) that returns some fixed point (a value
Fixed-point_combinator
Family of higher-order functions
In functional programming, a fold is a higher-order function that analyzes a recursive data structure and, through use of a given combining operation,
Fold_(higher-order_function)
Function specifying the behavior of a component in an electronic or control system
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models
Transfer_function
Formal power series
classified as generating functions, although they are not strictly formal power series. The Dirichlet series generating function of a sequence an is: DG
Generating_function
Measure for evaluating probabilistic forecasts
scoring functions answer the question "how good is a point prediction given the observation of the actual outcome?". Scoring functions that are (strictly) consistent
Scoring_rule
Sequence of program instructions invokable by other software
temporal coupling or order dependencies. In strictly functional programming languages such as Haskell, a function can have no side effects, which means it
Function (computer programming)
Function_(computer_programming)
Computational operation
\end{aligned}}} where sgn is the sign function, ⌊ ⌋ {\displaystyle \lfloor \,\rfloor } is the floor function (rounding down), and a | n | ∈ Q {\displaystyle
Modulo
Type of binary relation
order theory, a partial order is called well-founded if the corresponding strict order is a well-founded relation. If the order is a total order, then it
Well-founded_relation
Smooth and compactly supported function
analysis, a bump function is a localized auxiliary function, usually chosen to be smooth and to have compact support. Bump functions are commonly used
Bump_function
Continuous function that is not absolutely continuous
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in
Cantor_function
Nature reserve in Lithuania
excluded in this area. The core area of the biosphere reserve is either strict nature reserve (IUCN category I - Žuvintas, Buktbale and Liuliškyne) or
Žuvintas_Biosphere_Reserve
Operation in calculus
function with value M over [a, b]. In addition, if the inequality between functions is strict, then the inequality between integrals is also strict.
Integral
Method for finding the extrema of a function
and minimum, the inequality is not required to be strict: e.g. every value of a constant function is considered both a local maximum and a local minimum
Derivative_test
Property of having a unique mode or maximum value
distribution, not just to the strict definition of mode which is usual in statistics. If there is a single mode, the distribution function is called "unimodal"
Unimodality
Type theory concept
enjoyed by parametrically polymorphic functions, which captures the intuition that all instances of a polymorphic function act the same way. Consider this example
Parametricity
Mathematical concept for comparing objects
of identity function. The identity function, I(x) = x, is an obvious element of G; Existence of inverse function. Every bijective function g has an inverse
Equivalence_relation
Scripting language created in 1994
to that function, and would convert them. However, PHP 7 has a "strict typing" mode which, when used, disallows such conversions for function calls and
PHP
Model-free reinforcement learning algorithm
definition, the advantage function is an estimate of the relative value for a selected action. If the output of this function is positive, it means that
Proximal_policy_optimization
Distance from origin of tangent hyperplanes
In mathematics, the support function hA of a non-empty closed convex set A in R n {\displaystyle \mathbb {R} ^{n}} describes the (signed) distances of
Support_function
Function uniquely mapping two numbers into a single number
as a function of t, we get w = 8 t + 1 − 1 2 {\displaystyle w={\frac {{\sqrt {8t+1}}-1}{2}}} which is a strictly increasing and continuous function when
Pairing_function
Type of activation function
linear unit) activation function is an activation function defined as the non-negative part of its argument, i.e., the ramp function: ReLU(x)=x+=max(0,x)=x+|x|2={xif x>0
Rectified_linear_unit
Result of repeatedly applying a mathematical function
In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly
Iterated_function
proper transfer function is a transfer function in which the degree of the numerator does not exceed the degree of the denominator. A strictly proper transfer
Proper_transfer_function
Mathematical-logic system
evaluation order of strict languages like C: the arguments to a function are evaluated before calling the function, and function bodies are not even partially
Lambda_calculus
Algebra theorem about convex functions
satisfies and we have the inequalities and the equality If f is a strictly convex function, then the inequality (1) holds with equality if and only if y is
Karamata's_inequality
Type of mathematical expression
substitution to the substituted value is a function, called a polynomial function; see § Polynomial functions. This can be expressed more concisely by using
Polynomial
Natural number
pentagonal number and the sum of the totient function for the first 68 integers. There are 1426 strict partitions of 42. 1427 is a twin prime with 1429
1000_(number)
Well-quasi-ordering of finite trees
application of the theorem gives the existence of a fast-growing TREE function. TREE(3) is one of the largest simply defined finite numbers, dwarfing
Kruskal's_tree_theorem
Key on computer keyboards
overlapping and distinct functions dependent on operating system and application. The return key has its origins in two typewriter functions: carriage return
Enter_and_return_keys
travel, tourism, insurance
STRICT FUNCTION
STRICT FUNCTION
Boy/Male
Hindu, Indian
Morally Strict; Simple
Surname or Lastname
English
English : metonymic occupational name from Middle English strike, the stick used by a Striker.
Boy/Male
English
Strict. Restrained. Surname.
Surname or Lastname
English
English : nickname from Middle English streit ‘narrow’, ‘strict’ (Anglo-Norman French estreit).German and Jewish (Ashkenazic) : nickname for a quarrelsome person, from Middle High German strīt, German Streit ‘strife’, ‘argument’.
Female
French
French form of Latin Viatrix, BÉATRICE means "voyager (through life)."
Boy/Male
Spanish
Strict; restrained.
Surname or Lastname
English
English : topographic name for someone who lived on or by a strip of land, Old English strīp.
Surname or Lastname
English
English : from Middle English stride ‘(long) pace’ (from stride(n) ‘to walk with long steps’), presumably a nickname for someone with long legs or whose gait had a purposeful air, although Reaney and Wilson suggest it may also have been a topographic name for someone who lived by a crossing point over a stream, presumably no wider than a stride. They cite as an example a place known as The Strid, in North Yorkshire.
Boy/Male
American, British, English
Severe; Strict
Boy/Male
American, Australian, British, English, Welsh
Severe; Strict; Boundary
Female
Hebrew
(שָׂרַית) Diminutive form of Hebrew Sarah, SARIT means "noble lady, princess."
Boy/Male
Afghan, Australian
Strict
Surname or Lastname
English
English : habitational name from any of the various places, for example in Hertfordshire, Kent, and Somerset, so named from Old English strǣt ‘paved highway’, ‘Roman road’ (Latin strata (via)). In the Middle Ages the word at first denoted a Roman road but later also came to denote the main street in a town or village, and so the surname may also have been a topographic name for someone who lived on a main street.Jewish : Americanized form of the Sephardic surname Chetrit, of uncertain origin.Americanized form of Ashkenazic Jewish Strasser and a number of other similar surnames.The Rev. Nicholas Street (1603–74) came from England to Taunton, MA, between 1630 and 1638, and later moved to New Haven, CT, where his descendant Augustus Russell Street, a leader in art education, was born in 1791 and went on to become one of the most important early benefactors of Yale College.
Boy/Male
Arabic, Muslim
Lion; Difficult; Strict
Surname or Lastname
English
English : of uncertain origin, probably from the Old Norse byname Strútr (from a vocabulary word referring to a cone-like ornament on a headdress or cap). Alternatively it may be a nickname for an argumentative person, from Middle English strut(t) ‘quarrel’.German : topographic name from Middle High German struot, strūt ‘brush’, ‘thicket’, ‘swamp’, or a habitational name from any of several places named Struth with this word.
Boy/Male
English
Strict. Restrained. Surname.
Surname or Lastname
English
English : variant spelling of Street.
Boy/Male
Australian, French, Italian, Spanish
Strict; Restrained; Stern; Severe
Surname or Lastname
English (Cornwall)
English (Cornwall) : perhaps, as Reaney suggests, a variant of Strutt.
Surname or Lastname
English (southwest and South Wales)
English (southwest and South Wales) : metonymic nickname for a cunning or crafty person, from Middle English trick ‘strategem’, ‘device’ (from a Norman form of Old French triche).
STRICT FUNCTION
STRICT FUNCTION
STRICT FUNCTION
STRICT FUNCTION
STRICT FUNCTION
STRICT FUNCTION
STRICT FUNCTION
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