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Wolfram Language & System Documentation Center
Wolfram Language Syntax
  • Functions
    • Alternatives
    • And
    • Apply
    • ApplyTo
    • Association
    • CompoundExpression
    • Condition
    • DirectedEdge
    • Distributed
    • Do
    • Element
    • Exp
    • List
    • Map
    • MapApply
    • Not
    • Or
    • Part
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    • Power
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    • SameQ
    • Span
    • String
    • StringExpression
    • StringJoin
    • UndirectedEdge
  • Related Guides
    • Mathematical Typesetting
    • Wolfram Language
    • Syntax Characters
    • Template Syntax
  • Tech Notes
    • The Syntax of the Wolfram Language
    • Input Syntax
    • Operator Input Forms
    • Special Ways to Input Expressions
    • The Four Kinds of Bracketing in the Wolfram Language
    • Functions
      • Alternatives
      • And
      • Apply
      • ApplyTo
      • Association
      • CompoundExpression
      • Condition
      • DirectedEdge
      • Distributed
      • Do
      • Element
      • Exp
      • List
      • Map
      • MapApply
      • Not
      • Or
      • Part
      • PatternTest
      • Power
      • Repeated
      • SameQ
      • Span
      • String
      • StringExpression
      • StringJoin
      • UndirectedEdge
    • Related Guides
      • Mathematical Typesetting
      • Wolfram Language
      • Syntax Characters
      • Template Syntax
    • Tech Notes
      • The Syntax of the Wolfram Language
      • Input Syntax
      • Operator Input Forms
      • Special Ways to Input Expressions
      • The Four Kinds of Bracketing in the Wolfram Language
GUIDE
  • Functions
    • Alternatives
    • And
    • Apply
    • ApplyTo
    • Association
    • CompoundExpression
    • Condition
    • DirectedEdge
    • Distributed
    • Do
    • Element
    • Exp
    • List
    • Map
    • MapApply
    • Not
    • Or
    • Part
    • PatternTest
    • Power
    • Repeated
    • SameQ
    • Span
    • String
    • StringExpression
    • StringJoin
    • UndirectedEdge
  • Related Guides
    • Mathematical Typesetting
    • Wolfram Language
    • Syntax Characters
    • Template Syntax
  • Tech Notes
    • The Syntax of the Wolfram Language
    • Input Syntax
    • Operator Input Forms
    • Special Ways to Input Expressions
    • The Four Kinds of Bracketing in the Wolfram Language
    • Functions
      • Alternatives
      • And
      • Apply
      • ApplyTo
      • Association
      • CompoundExpression
      • Condition
      • DirectedEdge
      • Distributed
      • Do
      • Element
      • Exp
      • List
      • Map
      • MapApply
      • Not
      • Or
      • Part
      • PatternTest
      • Power
      • Repeated
      • SameQ
      • Span
      • String
      • StringExpression
      • StringJoin
      • UndirectedEdge
    • Related Guides
      • Mathematical Typesetting
      • Wolfram Language
      • Syntax Characters
      • Template Syntax
    • Tech Notes
      • The Syntax of the Wolfram Language
      • Input Syntax
      • Operator Input Forms
      • Special Ways to Input Expressions
      • The Four Kinds of Bracketing in the Wolfram Language

Wolfram Language Syntax

The Wolfram Language has a rich syntax carefully designed for consistency and efficient, readable entry of the Wolfram Language's many language, mathematical, and other constructs. In addition to ordinary linear ASCII input, the Wolfram Language also supports full 2D mathematical input.

Basic Syntax

f[x,y] — function arguments go in square brackets

Exp, Do, ... — built-in symbols have names beginning with capital letters

{…} (List)  ▪  <|…|> (Association)  ▪  "…" (String)  ▪  e[[i]] (Part)  ▪  e[[i;;j]] (Span)

Basic Operations

x = val — set a value (=. to clear a value)

x == val — test equality or represent a symbolic equation (!= for unequal)

lhs := rhs — function etc. definition

a -> b, a  b — rule for transformations, options, etc. (:> for delayed rule)

expr /. rule — replace using a rule ("slash dot")

Mathematics & Operators

+  ▪  -  ▪  *  ▪  /  ▪  ^ (Power)  ▪  && (And)  ▪  || (Or)  ▪  ! (Not)  ▪  <> (StringJoin)

a b c — spaces stand for multiplication

nn*^ee — scientific notation

b^^nnnn — number in a base

∈ (Element)  ▪   (Distributed)  ▪   (UndirectedEdge)  ▪   (DirectedEdge)

Patterns

x_ — any expression ("x blank")

x__, x___ — sequences of arbitrary expressions ("x double blank", ...)

_, __, ___ — unnamed patterns

x:p — pattern name

p:d — pattern default

.. (Repeated)  ▪  | (Alternatives)  ▪  /; (Condition)  ▪  ? (PatternTest)

~~ (StringExpression) — concatenation of string patterns

Pure Functions

body&, x|->body, xbody— a pure function

#, #2, etc. — unnamed arguments in a pure function

#name — named part of a pure function argument

Function Combinations

f@*g — composition of f with g (f[g[…]])

f/*g — composition of g with f (g[f[…])

Short Forms

f @ expr — prefix function application f[expr]

expr // f — postfix function application ("slash slash") f[expr]

/@ (Map —  "slash at" )  ▪  @@(Apply)  ▪  @@@ (MapApply)  ▪  //= (ApplyTo)  ▪  === (SameQ)

Program Syntax

expr; expr; expr — sequence of commands (CompoundExpression)

<< file — input a file (>>file, >>>file for outputting to a file)

(* … *) — comment

ccc`nnn — symbol in context ccc

Session Syntax

% — most recent output (%n for output on line n)

? x — information on symbol

Related Tech Notes

    ▪
  • The Syntax of the Wolfram Language
  • ▪
  • Input Syntax
  • ▪
  • Operator Input Forms
  • ▪
  • Special Ways to Input Expressions
  • ▪
  • The Four Kinds of Bracketing in the Wolfram Language

Related Guides

    ▪
  • Mathematical Typesetting
  • ▪
  • Wolfram Language Syntax Characters
  • ▪
  • Template Syntax
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