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An open research record on the Riemann Hypothesis.

NAV READY · TYPE SHORTCUT · ENTER EXECUTES

RC://SYMBOL FINDER · PUBLIC REFERENCE

FIND A SYMBOL

Seen a mathematical symbol you cannot name? Search its name, paste the glyph, enter a LaTeX command, or browse by subject. The full explanation stays in one pronunciation guide.

115 of 115 published symbols shown.

The Greek alphabet

Epsilon

UK EP-si-lon · ep-SIGH-lon US EP-suh-lahn · EP-suh-luhn

\epsilon

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Xi

UK SIGH · ZIGH · K-SIGH · KSEE US SIGH · ZIGH

\xi

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Omicron

UK oh-MY-kron · OM-i-kron US Common forms include AH-mi-krahn and OH-mi-krahn

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Upsilon

UK YOOP-si-luhn · yoop-SIGH-luhn US UP-suh-lahn

\upsilon

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Omega

UK OH-mi-guh US oh-MAY-guh · oh-MEG-uh

\omega

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Arithmetic

Plus sign

UK / US PLUS

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Minus sign

UK / US MY-nus

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Asterisk · star

UK / US AS-tuh-risk · star

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Division sign

UK / US di-VY-did by when read as an operation

\div

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Slash

UK / US SLASH

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Percent sign

UK / US per SENT

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Equality and comparison

Equals sign

UK / US EE-kwulz

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Less-than sign · Greater-than sign

UK / US less than · greater than

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Less-than-or-equal sign · Greater-than-or-equal sign

UK / US less than or equal to · greater than or equal to

\le

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Much-less-than sign · Much-greater-than sign

UK / US much less than · much greater than

\ll

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Approximately-equal sign

UK / US approximately equal to

\approx

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Triple bar · equivalence or congruence symbol

UK / US equivalent, congruent or identically equal, depending on use

\equiv

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Proportional-to sign

UK / US pro-POR-shuh-nuhl to

\propto

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Powers, roots and little marks

Radical sign · square-root sign

UK / US RAD-i-kuhl sign · square root sign

\sqrt

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Factorial sign, when used after a number

UK / US fak-TOR-ee-uhl

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Prime

UK / US PRIME

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The large operators

Summation sign

UK / US suh-MAY-shun sign It is also commonly referred to simply as sigma

\sum

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Double integral

UK / US double integral

\iint

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Contour integral · closed integral

UK / US CON-tour integral · closed integral

\oint

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Calculus and analysis

Partial-derivative symbol

UK / US PAR-shuhl

\partial

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Big O and little o

Real part, imaginary part and argument

Real part · Imaginary part · Argument

UK / US real part · imaginary part · AR-gyuh-ment

\operatorname

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Arrows

Maps-to arrow

UK / US maps to

\mapsto

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Composition symbol · small circle

UK / US composition · circle

\circ

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Double right arrow · implication arrow

UK / US implies

\Rightarrow

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Double implication arrow

UK / US if and only if

\Leftrightarrow

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Left-right arrow

UK / US left-right arrow

\leftrightarrow

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Double left arrow · reverse implication arrow

UK / US is implied by

\Leftarrow

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Geometry

Degree sign

UK / US degree

\circ

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Congruent-to sign

UK / US congruent to

\cong

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Sets

Not-an-element-of sign

UK / US not an element of

\notin

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Subset signs

UK / US subset of · subset of or equal to

\subset

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Superset signs

UK / US superset of · superset of or equal to

\supset

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Set-difference sign

UK / US set minus

\setminus

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Empty-set symbol

UK / US empty set

\varnothing

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Braces · curly brackets

UK / US BRAY-siz · curly brackets

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Logic

Universal quantifier

UK / US universal quantifier

\forall

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Existential quantifier

UK / US existential quantifier

\exists

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There-does-not-exist sign

UK / US there does not exist

\nexists

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Logical conjunction

UK / US conjunction

\land

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The familiar number systems

Blackboard-bold N

UK / US blackboard-bold N

\mathbb

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Blackboard-bold Z

UK blackboard-bold ZED US blackboard-bold ZEE

\mathbb

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Blackboard-bold Q

UK / US blackboard-bold Q

\mathbb

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Blackboard-bold R

UK / US blackboard-bold R

\mathbb

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Blackboard-bold C

UK / US blackboard-bold C

\mathbb

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One innocent-looking bar

Vertical bar

UK / US VER-ti-kuhl bar

\mid

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Does-not-divide sign

UK / US does not divide

\nmid

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Double vertical bar

UK / US double vertical bar

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Colons, definitions and punctuation

Colon

UK / US KOH-lun

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Definition symbol

UK / US is defined as · is defined to be

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Brackets

UK: round brackets · brackets US: parentheses

UK round brackets US par-EN-thuh-seez

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Square brackets

UK / US square brackets

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Angle brackets

UK / US angle brackets

\langle

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Floor brackets

UK / US floor

\lfloor

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Ceiling brackets

UK / US SEE-ling

\lceil

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Dots

Centred dots · Vertical dots · Diagonal dots

UK / US dots · vertical dots · diagonal dots

\cdots

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A few symbols with names of their own

Perpendicular · orthogonality sign

UK / US per-pen-DIK-yuh-luh · or-THOG-uh-nuhl

\perp

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End-of-proof symbol

UK / US end-of-proof symbol ALSO CALLED Tombstone · Halmos symbol

\blacksquare

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A few marks that often appear around mathematics

Check mark · tick

UK TICK · check mark US check mark

\checkmark

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Section sign

UK / US SEK-shun sign

\S

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Reading expressions aloud

A symbol’s name is not necessarily how it is read in context. The full guide has worked examples:

A limit · An integral · Quantifiers · Conditional probability ·