26 questions linked to/from Functions vs. patterns
524 views

### Map vs. Table for index-specific operations on 2D arrays

Many experienced users on this site tend to use Map (and its variants, MapAt, MapIndexed, etc.) rather than Table. When applying the same operation to every element of an array, Map does seem more ...
542 views

### Why use pure functions?

I've now read the official documentation of wolfram on (anonymous) pure functions, and the part about (anonymous) pure functions in the book "mathematica programming intro". I believe I understand ...
489 views

### Performance of Nest vs. Do

When I am iterating the logistic function using a pure function, comparing Do and Nest: ...
656 views

### Cannot evaluate differential in Mathematica

I have a small toy script in Mathematica that I am trying to use to evaluate the pdf of $Y$ where $Y=X^2$, and $X$ is uniformly distributed in $[0,a]$. The script is, ...
525 views

### How to Enable Syntax Coloring of Pattern Match Variable Only (i.e. Without Coloring any Associated Pattern)?

Syntax coloring for the following function definition foo[x_List] := ... will color green (and italicize by default) the argument name ...
273 views

### Why Function is not identical to & in autocompilation?

Here is the example, copied from here square = Function[x, x^2]; square1 = #^2 &; the timing and unpacking status shows ...
399 views

### What's the difference between functions and replacement?

I used to thought that calling a function is equal to applying a rule, i.e. applying a rule of f[x_]->sth. is equal to calling a function f with definition f[x_]:=sth. However, given ...
129 views

### Compiling a function depending on an external function

Consider the simple case: g[x] := x^3; f[x] := x^2 + g[x]; cf = Compile[{{x, _Real}}, x^2 + g[x]] Evaluating the two functions, Mathematica complains that the ...
205 views

### How to make the code inside Compile conciser without hurting performance?

Consider the following sample: ...
171 views

### Change input parameter order in a function

I'm a beginner in Mathematica programming and I'm trying to understand how input parameters work in Mathematica's function. I encountered a problem with the sequence/order of the input parameters of ...
150 views

### Performance of pure function - Best way to define a function?

In general, to define a function, we often use f[x_]. Another way is to use pure function (full form and shorthand). I want to test the performance of these ...

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