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The map function originated in functional programming languages. The language Lisp introduced a map function called maplist [3] in 1959, with slightly different versions already appearing in 1958. [4] This is the original definition for maplist, mapping a function over successive rest lists:
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]
In computer science, zipping is a function which maps a tuple of sequences into a sequence of tuples. This name zip derives from the action of a zipper in that it interleaves two formerly disjoint sequences.
represents the input set, which in this example is the set of natural numbers x 2 > 3 {\displaystyle x^{2}>3} is a predicate expression acting as a filter on members of the input set. 2 ⋅ x {\displaystyle 2\cdot x} is an output expression producing members of the new set from members of the input set that satisfy the predicate expression.
In the sense that a GTM explicitly requires a smooth and continuous mapping from the input space to the map space, it is topology preserving. However, in a practical sense, this measure of topological preservation is lacking. [31] The growing self-organizing map (GSOM) is a growing variant of the self-organizing map. The GSOM was developed to ...
Intuitively, partial function application says "if you fix the first argument of the function, you get a function of the remaining arguments". For example, if function div stands for the division operation x / y , then div with the parameter x fixed at 1 (i.e., div 1) is another function: the same as the function inv that returns the ...
Python 3's input function behaves like Python 2's raw_input function, in that the input is always returned as a string rather than being evaluated as an expression Moving reduce (but not map or filter ) out of the built-in namespace and into functools (the rationale being code that uses reduce is less readable than code that uses a for loop and ...
In Python 2 (and most other programming languages), unless explicitly requested, x / y performed integer division, returning a float only if either input was a float. However, because Python is a dynamically-typed language, it was not always possible to tell which operation was being performed, which often led to subtle bugs, thus prompting the ...