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Mathematical Operators (Mathematical Operators)

∀

FOR ALL
∁

COMPLEMENT
∂

PARTIAL DIFFERENTIAL
∃

THERE EXISTS
∄

THERE DOES NOT EXIST
∅

EMPTY SET
∆

INCREMENT
∇

NABLA
∈

ELEMENT OF
∉

NOT AN ELEMENT OF
∊

SMALL ELEMENT OF
∋

CONTAINS AS MEMBER
∌

DOES NOT CONTAIN AS MEMBER
∍

SMALL CONTAINS AS MEMBER
∎

END OF PROOF
∏

N-ARY PRODUCT
∐

N-ARY COPRODUCT
∑

N-ARY SUMMATION
−

MINUS SIGN
∓

MINUS-OR-PLUS SIGN
∔

DOT PLUS
∕

DIVISION SLASH
∖

SET MINUS
∗

ASTERISK OPERATOR
∘

RING OPERATOR
∙

BULLET OPERATOR
√

SQUARE ROOT
∛

CUBE ROOT
∜

FOURTH ROOT
∝

PROPORTIONAL TO
∞

INFINITY
∟

RIGHT ANGLE
∠

ANGLE
∡

MEASURED ANGLE
∢

SPHERICAL ANGLE
∣

DIVIDES
∤

DOES NOT DIVIDE
∥

PARALLEL TO
∦

NOT PARALLEL TO
∧

LOGICAL AND
∨

LOGICAL OR
∩

INTERSECTION
∪

UNION
∫

INTEGRAL
∬

DOUBLE INTEGRAL
∭

TRIPLE INTEGRAL
∮

CONTOUR INTEGRAL
∯

SURFACE INTEGRAL
∰

VOLUME INTEGRAL
∱

CLOCKWISE INTEGRAL
∲

CLOCKWISE CONTOUR INTEGRAL
∳

ANTICLOCKWISE CONTOUR INTEGRAL
∴

THEREFORE
∵

BECAUSE
∶

RATIO
∷

PROPORTION
∸

DOT MINUS
∹

EXCESS
∺

GEOMETRIC PROPORTION
∻

HOMOTHETIC
∼

TILDE OPERATOR
∽

REVERSED TILDE
∾

INVERTED LAZY S
∿

SINE WAVE
≀

WREATH PRODUCT
≁

NOT TILDE
≂

MINUS TILDE
≃

ASYMPTOTICALLY EQUAL TO
≄

NOT ASYMPTOTICALLY EQUAL TO
≅

APPROXIMATELY EQUAL TO
≆

APPROXIMATELY BUT NOT ACTUALLY EQUAL TO
≇

NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO
≈

ALMOST EQUAL TO
≉

NOT ALMOST EQUAL TO
≊

ALMOST EQUAL OR EQUAL TO
≋

TRIPLE TILDE
≌

ALL EQUAL TO
≍

EQUIVALENT TO
≎

GEOMETRICALLY EQUIVALENT TO
≏

DIFFERENCE BETWEEN
≐

APPROACHES THE LIMIT
≑

GEOMETRICALLY EQUAL TO
≒

APPROXIMATELY EQUAL TO OR THE IMAGE OF
≓

IMAGE OF OR APPROXIMATELY EQUAL TO
≔

COLON EQUALS
≕

EQUALS COLON
≖

RING IN EQUAL TO
≗

RING EQUAL TO
≘

CORRESPONDS TO
≙

ESTIMATES
≚

EQUIANGULAR TO
≛

STAR EQUALS
≜

DELTA EQUAL TO
≝

EQUAL TO BY DEFINITION
≞

MEASURED BY
≟

QUESTIONED EQUAL TO
≠

NOT EQUAL TO
≡

IDENTICAL TO
≢

NOT IDENTICAL TO
≣

STRICTLY EQUIVALENT TO
≤

LESS-THAN OR EQUAL TO
≥

GREATER-THAN OR EQUAL TO
≦

LESS-THAN OVER EQUAL TO
≧

GREATER-THAN OVER EQUAL TO
≨

LESS-THAN BUT NOT EQUAL TO
≩

GREATER-THAN BUT NOT EQUAL TO
≪

MUCH LESS-THAN
≫

MUCH GREATER-THAN
≬

BETWEEN
≭

NOT EQUIVALENT TO
≮

NOT LESS-THAN
≯

NOT GREATER-THAN
≰

NEITHER LESS-THAN NOR EQUAL TO
≱

NEITHER GREATER-THAN NOR EQUAL TO
≲

LESS-THAN OR EQUIVALENT TO
≳

GREATER-THAN OR EQUIVALENT TO
≴

NEITHER LESS-THAN NOR EQUIVALENT TO
≵

NEITHER GREATER-THAN NOR EQUIVALENT TO
≶

LESS-THAN OR GREATER-THAN
≷

GREATER-THAN OR LESS-THAN
≸

NEITHER LESS-THAN NOR GREATER-THAN
≹

NEITHER GREATER-THAN NOR LESS-THAN
≺

PRECEDES
≻

SUCCEEDS
≼

PRECEDES OR EQUAL TO
≽

SUCCEEDS OR EQUAL TO
≾

PRECEDES OR EQUIVALENT TO
≿

SUCCEEDS OR EQUIVALENT TO
⊀

DOES NOT PRECEDE
⊁

DOES NOT SUCCEED
⊂

SUBSET OF
⊃

SUPERSET OF
⊄

NOT A SUBSET OF
⊅

NOT A SUPERSET OF
⊆

SUBSET OF OR EQUAL TO
⊇

SUPERSET OF OR EQUAL TO
⊈

NEITHER A SUBSET OF NOR EQUAL TO
⊉

NEITHER A SUPERSET OF NOR EQUAL TO
⊊

SUBSET OF WITH NOT EQUAL TO
⊋

SUPERSET OF WITH NOT EQUAL TO
⊌

MULTISET
⊍

MULTISET MULTIPLICATION
⊎

MULTISET UNION
⊏

SQUARE IMAGE OF
⊐

SQUARE ORIGINAL OF
⊑

SQUARE IMAGE OF OR EQUAL TO
⊒

SQUARE ORIGINAL OF OR EQUAL TO
⊓

SQUARE CAP
⊔

SQUARE CUP
⊕

CIRCLED PLUS
⊖

CIRCLED MINUS
⊗

CIRCLED TIMES
⊘

CIRCLED DIVISION SLASH
⊙

CIRCLED DOT OPERATOR
⊚

CIRCLED RING OPERATOR
⊛

CIRCLED ASTERISK OPERATOR
⊜

CIRCLED EQUALS
⊝

CIRCLED DASH
⊞

SQUARED PLUS
⊟

SQUARED MINUS
⊠

SQUARED TIMES
⊡

SQUARED DOT OPERATOR
⊢

RIGHT TACK
⊣

LEFT TACK
⊤

DOWN TACK
⊥

UP TACK
⊦

ASSERTION
⊧

MODELS
⊨

TRUE
⊩

FORCES
⊪

TRIPLE VERTICAL BAR RIGHT TURNSTILE
⊫

DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊬

DOES NOT PROVE
⊭

NOT TRUE
⊮

DOES NOT FORCE
⊯

NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊰

PRECEDES UNDER RELATION
⊱

SUCCEEDS UNDER RELATION
⊲

NORMAL SUBGROUP OF
⊳

CONTAINS AS NORMAL SUBGROUP
⊴

NORMAL SUBGROUP OF OR EQUAL TO
⊵

CONTAINS AS NORMAL SUBGROUP OR EQUAL TO
⊶

ORIGINAL OF
⊷

IMAGE OF
⊸

MULTIMAP
⊹

HERMITIAN CONJUGATE MATRIX
⊺

INTERCALATE
⊻

XOR
⊼

NAND
⊽

NOR
⊾

RIGHT ANGLE WITH ARC
⊿

RIGHT TRIANGLE
⋀

N-ARY LOGICAL AND
⋁

N-ARY LOGICAL OR
⋂

N-ARY INTERSECTION
⋃

N-ARY UNION
⋄

DIAMOND OPERATOR
⋅

DOT OPERATOR
⋆

STAR OPERATOR
⋇

DIVISION TIMES
⋈

BOWTIE
⋉

LEFT NORMAL FACTOR SEMIDIRECT PRODUCT
⋊

RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT
⋋

LEFT SEMIDIRECT PRODUCT
⋌

RIGHT SEMIDIRECT PRODUCT
⋍

REVERSED TILDE EQUALS
⋎

CURLY LOGICAL OR
⋏

CURLY LOGICAL AND
⋐

DOUBLE SUBSET
⋑

DOUBLE SUPERSET
⋒

DOUBLE INTERSECTION
⋓

DOUBLE UNION
⋔

PITCHFORK
⋕

EQUAL AND PARALLEL TO
⋖

LESS-THAN WITH DOT
⋗

GREATER-THAN WITH DOT
⋘

VERY MUCH LESS-THAN
⋙

VERY MUCH GREATER-THAN
⋚

LESS-THAN EQUAL TO OR GREATER-THAN
⋛

GREATER-THAN EQUAL TO OR LESS-THAN
⋜

EQUAL TO OR LESS-THAN
⋝

EQUAL TO OR GREATER-THAN
⋞

EQUAL TO OR PRECEDES
⋟

EQUAL TO OR SUCCEEDS
⋠

DOES NOT PRECEDE OR EQUAL
⋡

DOES NOT SUCCEED OR EQUAL
⋢

NOT SQUARE IMAGE OF OR EQUAL TO
⋣

NOT SQUARE ORIGINAL OF OR EQUAL TO
⋤

SQUARE IMAGE OF OR NOT EQUAL TO
⋥

SQUARE ORIGINAL OF OR NOT EQUAL TO
⋦

LESS-THAN BUT NOT EQUIVALENT TO
⋧

GREATER-THAN BUT NOT EQUIVALENT TO
⋨

PRECEDES BUT NOT EQUIVALENT TO
⋩

SUCCEEDS BUT NOT EQUIVALENT TO
⋪

NOT NORMAL SUBGROUP OF
⋫

DOES NOT CONTAIN AS NORMAL SUBGROUP
⋬

NOT NORMAL SUBGROUP OF OR EQUAL TO
⋭

DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL
⋮

VERTICAL ELLIPSIS
⋯

MIDLINE HORIZONTAL ELLIPSIS
⋰

UP RIGHT DIAGONAL ELLIPSIS
⋱

DOWN RIGHT DIAGONAL ELLIPSIS
⋲

ELEMENT OF WITH LONG HORIZONTAL STROKE
⋳

ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋴

SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋵

ELEMENT OF WITH DOT ABOVE
⋶

ELEMENT OF WITH OVERBAR
⋷

SMALL ELEMENT OF WITH OVERBAR
⋸

ELEMENT OF WITH UNDERBAR
⋹

ELEMENT OF WITH TWO HORIZONTAL STROKES
⋺

CONTAINS WITH LONG HORIZONTAL STROKE
⋻

CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋼

SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋽

CONTAINS WITH OVERBAR
⋾

SMALL CONTAINS WITH OVERBAR
⋿

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