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# Constant function

## Definition of the noun Constant function

What does Constant function mean as a name of something?

noun

1. [mathematics] A function whose value is the same for all the elements of its domain

## Explanation

Constant function: In mathematics, a constant function is a function whose value is the same for every input value. For example, the function is a constant function because the value of is 4 regardless of the input value .

• also known as 常數函數

## Printed dictionaries and other books with definitions for Constant function

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### Mathematics (2004)

An Applied Approach by Michael Sullivan, Abe Mizrahi

A constant function is a special linear function (m 0). Its domain is the set of all real numbers; its range is the set consisting of a single number b. Its graph is a horizontal line whose y-intercept is (0, b). The constant function is an even function ...

### Precalculus (2016)

by CTI Reviews

a constant function is a function whose values do not vary and thus are constant. For example the function f(x) = 4 is constant since f maps any value to 4. More formally, afunction f:A→B is a constant function if f(x) = f(y) for all x and y in A.

### SAS Functions by Example, Second Edition (2010)

by Ron Cody, EdD

2; run; Explanation The CONSTANT function is a convenient way to obtain an accurate value for π.

### Calculus, Concepts and Contexts, Enhanced Review Edition (2016)

by CTI Reviews

CHAPTER HIGHLIGHTS: KEY TERMS, PEOPLE, PLACES, Constant function Power function Binomial Theorem Linear regression CONCEPTS In mathematics , a Constant function is a function whose values do and thus are constant.

### Symmetric Galerkin Boundary Element Method (2008)

by Alok Sutradhar, Glaucio Paulino, Leonard J. Gray

A further simplification, available for equations such as Laplace or elasticity wherein a constant function is a solution, is to avoid the adjacent integral as well. To see that the adjacent integrals can also be bypassed, first note that in this case ...

### Intermediate Algebra, Concepts and Applications (2016)

Mathematics, Algebra by CTI Reviews

In mathematics, a constant function is a function whose value.

### Calculus and Ordinary Differential Equations (1995)

by David Pearson

A constant function is a function which sends every number in its domain into the same output number. If we denote by the letter b this common output number, and the function itself by f, then our constant function will be given by the rule f(x) ...

### Analysis and Simulation of Fluid Dynamics (2007)

by Caterina Calgaro, Jean-François Coulombel, Thierry Goudon

A piecewise constant function is a reasonable numerical representation of the solution in regions of ...

### Precalculus, Graphs and Models (2016)

by CTI Reviews

is said to point or go frc In mathematics, a constant function is a function whose values do and thus are constant. For example, if we have the function f(x) = is constant since f maps any value to 4. More formally ...

### A Dictionary of Philosophical Logic (2009)

by Roy T. Cook

See also : First-order Variable, Formation Rules, Individual, Singular Proposition, Singular Term, Variable CONSTANT FUNCTION A function f is a constant function if and ...

### Blackie’s Dictionary of Mathematics

by Blackie

constant function A function of the form y = constant or f(x) = constant.E.g. y = –2. constant term The term in a ...

### CRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Constant Function Gourdon, X. and Sebah, P. "Mathematical Constants and Computation." http://xavier.gourdon.free.fr/Constants/ constants.html. Le Lionnais, F. Les nombres remarquables. Paris: Hermann, 1983. Plouffe, S. "Plouffe's ...

### Encyclopedia of Computer Science and Technology (1979)

Volume 12 - Pattern Recognition: Structural Description Languages to Reliability of Computer Systems by Jack Belzer, Albert G. Holzman, Allen Kent

is a step function (piecewise constant function) having jumps at the possible values xl, x2, . . of X, the heights of the jumps being p(xi), p(x2), . . . . Example. We toss a dime and a nickel once and consider the random variable X ...

### The VNR Concise Encyclopedia of Mathematics (2012)

by S. Gottwald

For A = 0 and B == 0 the result is a constant function, whose graph is a line parallel to the x-axis. For A + 0 and B = 0 the equation does not represent a function at all. The graphical representation of the equation Ax + C = 0 is a line parallel to ...

### Dictionary of Computer Science, Engineering and Technology (2000)

by Philip A. Laplante

constant function a function with no arguments or one which always ...

### A Dictionary of Computer Science (2016)

by Andrew Butterfield, Gerard Ekembe Ngondi, Anne Kerr

c denotes the constant function, which always returns the constant c ...

### Encyclopedia of Cryptography and Security (2014)

by Henk C.A. van Tilborg, Sushil Jajodia

A characterization exists: Daf is the constant function 1 (resp. the null function) if and only if the set {u e = 0} contains {0,a}l (resp. contains its complement). Other characteristics of Boolean functions have been considered in the literature: ...

### Encyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

a positive *superharmonic function P for which the class of nonnegative fharmonic functions smaller than P consists only of the constant function 0) is a compact subset of R*. The set F is called the harmonic ...

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