# Other Mathematical Notation

The Wolfram Language supports an extremely wide range of mathematical notation, although often it does not assign a predefined meaning to it. Thus, for example, you can enter an expression such as xy, but the Wolfram Language will not initially make any assumption about what you mean by .

The Wolfram Language knows that is an operator, but it does not initially assign any specific meaning to it:
 In:= Out= This gives the Wolfram Language a definition for what the operator does:
 In:= Now the Wolfram Language can evaluate operations:
 In:= Out= full name alias ⊕ \[CirclePlus] Escc+Esc ⊗ \[CircleTimes] Escc*Esc ± \[PlusMinus] Esc+-Esc ⋀ \[Wedge] Esc^Esc ⋁ \[Vee] EscvEsc ≃ \[TildeEqual] Esc~=Esc ≈ \[TildeTilde] Esc~~Esc ∼ \[Tilde] Esc~Esc ∝ \[Proportional] EscpropEsc ≡ \[Congruent] Esc===Esc ≳ \[GreaterTilde] Esc>~Esc ≫ \[GreaterGreater] ≻ \[Succeeds] ⊳ \[RightTriangle]
 full name alias ⟶ \[LongRightArrow] Esc-->Esc ↔ \[LeftRightArrow] Esc<->Esc ↑ \[UpArrow] ⇌ \[Equilibrium] EscequiEsc ⊢ \[RightTee] ⊃ \[Superset] EscsupEsc ⊓ \[SquareIntersection] ∈ \[Element] EscelemEsc ∉ \[NotElement] Esc!elemEsc ∘ \[SmallCircle] EscscEsc ∴ \[Therefore]  \[VerticalSeparator] Esc|Esc  \[VerticalBar] Esc␣|Esc ∖ \[Backslash] Esc\Esc

A few of the operators whose input is supported by the Wolfram Language.

The Wolfram Language assigns builtin meanings to and , but not to or :
 In:= Out= There are some forms which look like characters on a standard keyboard, but which are interpreted in a different way by the Wolfram Language. Thus, for example, [Backslash] or Esc displays as but is not interpreted in the same way as a typed directly on the keyboard.

The and characters used here are different from the and ^ you would type directly on a keyboard:
 In:= Out= Most operators work like and go in between their operands. But some operators can go in other places. Thus, for example, Esc and Esc or [LeftAngleBracket] and [RightAngleBracket] are effectively operators which go around their operand.

The elements of the angle bracket operator go around their operand:
 In:= Out= full name alias ℓ \[ScriptL] EscsclEsc ℰ \[ScriptCapitalE] EscscEEsc ℜ \[GothicCapitalR] EscgoREsc  \[DoubleStruckCapitalZ] EscdsZEsc ℵ \[Aleph] EscalEsc ∅ \[EmptySet] EscesEsc µ \[Micro] EscmiEsc
 full name alias Å \[Angstrom] EscAngEsc ℏ \[HBar] EschbEsc £ \[Sterling] ∠ \[Angle] • \[Bullet] EscbuEsc † \[Dagger] EscdgEsc ♮ \[Natural]

Some additional letters and letterlike forms.

You can use letters and letterlike forms anywhere in symbol names:
 In:= Out=  is assumed to be a symbol, and so is just multiplied by a and b:
 In:= Out= 