In 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...

intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. A function f : R → R {\displaystyle f\colon...

In mathematics, a locally constant function is a function from a topological space into a set with the property that around every point of its domain...

constant of integration, often denoted by C {\displaystyle C} (or c {\displaystyle c} ), is a constant term added to an antiderivative of a function f...

floor function. The numerical value of Euler's constant, to 50 decimal places, is: 0.57721566490153286060651209008240243104215933593992...  The constant first...

mathematical constant or physical constant are sometimes used to distinguish this meaning. A function whose value remains unchanged (i.e., a constant function)....

can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D: any pole must coincide with a zero of...

polynomial, and these may be non-constant functions. A coefficient is a constant coefficient when it is a constant function. For avoiding confusion, in this...

exponent to which a constant number e ≈ 2.718, the base, is raised. There are several other definitions of the exponential function, which are all equivalent...

zero). When the function is of only one variable, it is of the form f ( x ) = a x + b , {\displaystyle f(x)=ax+b,} where a and b are constants, often real...

theory, a normalizing constant or normalizing factor is used to reduce any probability function to a probability density function with total probability...

(or normalizing constant). Two sequences are inversely proportional if corresponding elements have a constant product. Two functions f ( x ) {\displaystyle...

called the Lipschitz constant of the function (and is related to the modulus of uniform continuity). For instance, every function that is defined on an...

{\textstyle c\in \mathbb {R} } , if f ( x ) {\textstyle f(x)} is the constant function given by f ( x ) = c {\textstyle f(x)=c} , then d f d x = 0 {\textstyle...

subject List of numbers List of physical constants Particular values of the Riemann zeta function Physical constant Both i and −i are roots of this equation...

Heaviside step function Negative number Rectangular function Sigmoid function (Hard sigmoid) Step function (Piecewise constant function) Three-way comparison...

called the slope of the function and of the line (see below). If the slope is a = 0 {\displaystyle a=0} , this is a constant function f ( x ) = b {\displaystyle...

real-valued function with a connected domain, the image is either an interval or a single value. In the latter case, the function is a constant function. The...

Constant-function market makers (CFMM) are a paradigm in the design of trading venues where a trading function and a set of rules determine how liquidity...

{\displaystyle \lambda x.y} represents the constant function x ↦ y {\displaystyle x\mapsto y} , the function that always returns y {\displaystyle y} ,...

response, or using an input that is a simple sinusoidal function of time) the time constant also determines the bandwidth of a first-order time-invariant...

with the inverse of the modular function maps the plane into the unit disc which implies that f {\textstyle f} is constant by Liouville's theorem. This theorem...

domain. A nonzero constant P for which this is the case is called a period of the function. If there exists a least positive constant P with this property...

correct sub-function—and produce the correct output value. A step function or piecewise constant function, composed of constant sub-functions Piecewise...

number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes called...

someGlobalVariable*someOtherFunction(ANYTHING); ... } the expression that the constant is initialized to are not themselves constant. Use of constantness is not necessary...

the empty conjunction, i.e., the constant 1), and the constant 0. V = [∨, 0, 1] is the set of disjunctive functions: f(a ∨ b) = f(a) ∨ f(b). Equivalently...

zero function as a primitive function that always returns zero, and build the constant functions from the zero function, the successor function and the...

monotone are not invertible because they are constant on some interval (and therefore are not one-to-one). A function may be strictly monotonic over a limited...

number n {\displaystyle n} and every k {\displaystyle k} , the k-ary constant function, defined by C n k ( x 1 , … , x k )   = d e f   n {\displaystyle C_{n}^{k}(x_{1}...