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Identity function: maps any given element to itself. Constant function: has a fixed value regardless of its input. Empty function: whose domain equals the empty set. Set function: whose input is a set. Choice function called also selector or uniformizing function: assigns to each set one of its elements.
A function pointer, also called a subroutine pointer or procedure pointer, is a pointer referencing executable code, rather than data. Dereferencing the function pointer yields the referenced function, which can be invoked and passed arguments just as in a normal function call. Such an invocation is also known as an "indirect" call, because the ...
Functions are often defined by an expression that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain. For example, in the above example, can be defined by the formula , for .
⇧ Shift+F10 or ≣ Menu: Varies with laptop / extended keyboard type; enable Mouse keys in Universal Access, then Fn+Ctrl+5 or Ctrl+5 (numeric keypad) or Function+Ctrl+I (laptop) ≣ Menu: ≣ Menu or ⇧ Shift+F10: Toggle selected state of focused checkbox, radio button, or toggle button Space: Space: Space: Space: Activate focused button ...
A sigmoid function refers specifically to a function whose graph follows the logistic function. It is defined by the formula: In many fields, especially in the context of artificial neural networks, the term "sigmoid function" is correctly recognized as a synonym for the logistic function. While other S-shaped curves, such as the Gompertz curve ...
Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function. Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.
Other examples are solutions of linear differential equations with polynomial coefficients. If the coefficient at the highest derivative is constant, then all solutions of such equations are entire functions. For example, the exponential function, sine, cosine, Airy functions and Parabolic cylinder functions arise in this way. The class of ...
In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit[ 1 ] of software logic that has a well-defined interface and behavior and can be invoked multiple times. Callable units provide a powerful programming tool. [ 2 ] The primary purpose is to allow for the decomposition of a large ...