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Wolfram Community forum discussion about Is there a way to apply a function to ... is given in this fantastic blog post: Doing spy stuff with Mathematica.

In working with the Wolfram Language, a powerful notation that one ends up using all the time is /@, which means “ apply to each element ”. Apply f to each element in a list: In [8]:=. Out [8]=. f usually would just get applied to the whole list: In [9]:=. Out [9]=.

Apply is another functional programming operation. It replaces the head of an expression. You can see how this works using two undefined functions, f and g:.

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Apply (@@, @@@) — apply a function to a list, at specified levels. MapIndexed — map a function, including index information. MapAt — map a function at particular positions. Scan — scan over every element of a list, applying a function. Multi-Element Mapping. BlockMap — map a function onto blocks of elements in a list

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我需要在很长的一对数对中找到所有数字对的总和。在Mathematica中有很多方法可以做到这一点，但是我在考虑使用Plus或Total。由于Total在列表中起作用，因此Map是在其中使用的功能编程工具，而第1层(@@@)的Apply是用于Plus的工具，因为Plus接受要添加的数字作为参数。 这是一些演示代码(警告:在执行此 ...

Apply replaces Heads in (sub)expressions, and returns the modified input; Scan "visits" (sub)expressions, evaluates each of them, and returns Null (For each example below f should be undefined; start with ClearAll[f].) Map. Most basically Map works like this: f /@ head[1, 2, 3] (* shorthand for Map[f, head[1, 2, 3], {1}] *) head[f[1], f[2], f[3]]

Learn to nest functions iteratively and recursively in the Wolfram Language. Visualize with graphic networks. Written by Stephen Wolfram.

Basically when defining a function you are defining an operation that can be applied to different objects in Mathematica. In defining a function, you have to remember two basic syntax rules: you have a _ after each variable in brackets, and you have a : before the equals sign: F [x_]:= x^2 g [r_,s_]:= r^2 (s-2) Lists:

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Apply[f, expr, levelspec] replaces heads in parts of expr specified by levelspec. Apply[f] represents an operator form of Apply that can be applied to an ...

Applying functions to lists and other expressions. What Apply does in general is to replace the head of an expression with the function you specify. Here it ...

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Everything that the Wolfram Language does can be thought of as derived from its ability to apply general transformation rules to arbitrary symbolic ...

Many computations are conveniently specified in terms of applying functions in parallel to many elements in a list. The Wolfram Language provides a suite of ...

Apply f@@ expr or Apply [ f, expr] replaces the head of expr by f. f@@@ expr or Apply [ f, expr, { 1 }] replaces heads at level 1 of expr by f. Apply [ f, expr, levelspec] replaces heads in parts of expr specified by levelspec. Apply [ f] represents an operator form of Apply that can be applied to an expression. Details and Options Examples

Wolfram Language tutorial. Learn to apply, or map, functions over multiple expressions.

Mathematica apply function to list. Applying Functions to Lists Many computations are conveniently specified in terms of applying functions in parallel to many elements in a list. The Wolfram Language provides a suite of elegant functional programming constructs for doing this. and some data in a list: ...

Learn quick, convenient notation and dozens of ways to apply functions in the Wolfram Language. Written by Stephen Wolfram.

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In the Wolfram Language, mathematical functions are automatically taken to be "listable", so that they are always applied to every element in a list. Map ( /@) — map a function over a list, at specified levels Apply ( @@, @@@) — apply a function to a list, at specified levels MapIndexed — map a function, including index information

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