In programming languages mathematical functions compute values of "functions" as defined in the science of mathematics. While functions in programming languages are subroutines that return values given certain parameters, functions in mathematics are defined as relations between elements in a definition set Df, and elements in a value set Dv, such that f: x --> y, where x belongs to Df and y to Dv, for each x there must be exactly one y, and this y must be the same whenever f is called. This can also be expressed in the more recognizable f(x) = y,
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| - Mathematical Functions
- Mathematical functions
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| - In programming languages mathematical functions compute values of "functions" as defined in the science of mathematics. While functions in programming languages are subroutines that return values given certain parameters, functions in mathematics are defined as relations between elements in a definition set Df, and elements in a value set Dv, such that f: x --> y, where x belongs to Df and y to Dv, for each x there must be exactly one y, and this y must be the same whenever f is called. This can also be expressed in the more recognizable f(x) = y,
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| abstract
| - In programming languages mathematical functions compute values of "functions" as defined in the science of mathematics. While functions in programming languages are subroutines that return values given certain parameters, functions in mathematics are defined as relations between elements in a definition set Df, and elements in a value set Dv, such that f: x --> y, where x belongs to Df and y to Dv, for each x there must be exactly one y, and this y must be the same whenever f is called. This can also be expressed in the more recognizable f(x) = y, a pattern that programming languages have borrowed since the old days of the FORTRAN programming language. In most programming languages there is no requirement that f shall produce the same return value (same as the value y from the value set Dv) irrespectively of when the function is called, but instead the "function" may remember a state, and produce another value next time it is called. Mathematical functions of programming languages adhere to the mathematical same-return-value-each-time rule of mathematical functions. The most often used ones produce one floating point return value from one or sometimes two floating point arguments. The most common mathematical functions regard square roots, logarithms, exponentials and trigonometry.
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