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Mathematica 10 only Operator forms Mathematica 10 supports so-called "operator forms", which basically means some functions can be curried. …

It's important that Mathematica keeps u[v,w] as it is. However, this works in most cases, including if u is a is a number, a string or a list. … use {y,z}[[x]] or {u,v,w}[[x]] In some rare cases, you can even make use of the fact that multiplication is not evaluated for some values: {"abc","def"}[[x]] ("abc""def")[[x]] Note though that Mathematica …

Operators as Functions Inspired by Dennis's recent discovery for Julia I thought I'd look into this for Mathematica. … I was aware that Mathematica defines a large number of unused operators, but never paid much attention to it. …

Mathematica 10.2: BlockMap is Partition+Map This tip could also be titled, "Read the release notes, all of them". …

The reason this works is that , introduces two arguments to the list, but omitted arguments (anywhere in Mathematica) are implicit Nulls. …

When you can make use of the REPL features, don't do this: a=someLongExpression;some[other*a,expression@a,using^a] Instead, remember that Mathematica stores the last evaluated (newline-terminated) expression …

Accessing named arguments (new in V10) One of the major new language features in Mathematica 10 is Associations, which are basically key-value maps with arbitrary key types, written like <| x -> 1, "abc … In fact, the shortest Mathematica quine (I know of) is ToString[#0][] & [] What's slightly annoying is that it won't give you the exact characters you entered. …

You can stick an expression in Break which can save one or two characters. Example (other details not golfed for clarity): result = False; Break[] can be turned into Break[result = False] to sav …

Here is a list with loads of operator input forms which can shorten a lot of things. Some of these have been mentioned in other posts, but the list is long and I'm always surprised to find a few new t …

You can save a byte by working around Prepend or PrependTo: l~Prepend~x {x}~Join~l {x,##}&@@l or l~PrependTo~x l={x}~Join~l l={x,##}&@@l Unfortunately, this doesn't help for the more common Appe …

Checking if a list is sorted This is essentially a corollary of this tip but this is a sufficiently common task that I think it warrants its own answer. The naive way to check if a list is in order …

To remove all whitespace from a string s, use StringSplit@s<>"" That is, use StringSplit's default (split into non-whitespace components) and simply join them back together. The same is probably st …

Alternatives to Range A very common task is to apply some sort of function to all numbers from 1 to a n (usually given as input). There are essentially 3 ways to do this (using an unnamed identity fu …

Don't write 0-argument functions There is no need for code like this: f[]:=DoSomething[1,2] (*...*) f[] (*...*) f[] You can simply use a variable with := to force re-evaluation of the right-hand s …

If you need a list of numbers sorted in reverse, don't use Reverse@Sort@x but -Sort@-x to save six bytes. Sorting by a negative value is also useful for SortBy scenarios: Reverse@SortBy[x,Last] …