Mathematical Operators
The Unicode Standard encodes almost all standard characters used in mathematics. Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. Mathematical operators and symbols are situated in multiple Unicode blocks. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of “Math”.
At least 6 Unicode blocks contain special mathematical symbols. Mathematical Operators 2200–22FF , Miscellaneous Mathematical Symbols-A 27C0–27EF , Miscellaneous Mathematical Symbols-B 2980–29FF , Supplemental Mathematical Operators 2A00–2AFF , Mathematical Alphanumeric Symbols 1D400–1D7FF , Arabic Mathematical Alphabetic Symbols 1EE00–1EEFF .
Math symbols are basically a set of graphic signs which serve for writing down math ideas and terms. Different cultures used to have their own symbols for such operations. Some, still do. However, in modern times the unified international system is more popular. It has been developing historically, like any native language. A lot of symbols were borrowed from other alphabets.
In order to write numbers, Arabic digits are used. As a rule, the decimal system is applied. By the way, Unicode employs the hexadecimal one. Apart from numbers, letters are used too, mostly Greek and Latin. Not only the register matters, but the way of writing too (font).
A small part of math symbols (mostly related to measurements) is included in the standard ISO 31-11. But, in general, there are no unified rules for designation. The multiplication sign can be written either as a dot ∙ , or a star U+002A or even a cross × .
Properties
| Range | 2200–22FF |
| Characters | 256 |
Miscellaneous mathematical symbols
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∀2200For All
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∁2201Complement
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∂2202Partial Differential
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∃2203There Exists
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∄2204There Does Not Exist
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∅2205Empty Set
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∆2206Increment
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∇2207Nabla
Set membership
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∈2208Element Of
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∉2209Not an Element Of
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∊220ASmall Element Of
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∋220BContains As Member
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∌220CDoes Not Contain As Member
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∍220DSmall Contains As Member
Miscellaneous mathematical symbol
N-ary operators
Operators
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−2212Minus Sign
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∓2213Minus-or-Plus Sign
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∔2214Dot Plus
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∕2215Division Slash
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∖2216Set Minus
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∗2217Asterisk Operator
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∘2218Ring Operator
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∙2219Bullet Operator
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√221ASquare Root
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∛221BCube Root
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∜221CFourth Root
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∝221DProportional To
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Miscellaneous mathematical symbol
Angles
Relations
Logical and set operators
Integrals
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∫222BIntegral
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∬222CDouble Integral
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∭222DTriple Integral
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∮222EContour Integral
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∯222FSurface Integral
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∰2230Volume Integral
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∱2231Clockwise Integral
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∲2232Clockwise Contour Integral
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∳2233Anticlockwise Contour Integral
Miscellaneous mathematical symbols
Relations
Operator
Relation
Operator
Relations
Miscellaneous mathematical symbol
Operator
Relations
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≁2241Not Tilde
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≂2242Minus Tilde
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≃2243Asymptotically Equal To
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≄2244Not Asymptotically Equal To
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≅2245Approximately Equal To
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≆2246Approximately But Not Actually Equal To
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≇2247Neither Approximately nor Actually Equal To
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≈2248Almost Equal To
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≉2249Not Almost Equal To
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≊224AAlmost Equal or Equal To
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≋224BTriple Tilde
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≌224CAll Equal To
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≍224DEquivalent To
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≎224EGeometrically Equivalent To
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≏224FDifference Between
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≐2250Approaches the Limit
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≑2251Geometrically Equal To
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≒2252Approximately Equal To or the Image Of
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≓2253Image of or Approximately Equal To
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≔2254Colon Equals
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≕2255Equals Colon
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≖2256Ring In Equal To
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≗2257Ring Equal To
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≘2258Corresponds To
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≙2259Estimates
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≚225AEquiangular To
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≛225BStar Equals
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≜225CDelta Equal To
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≝225DEqual To By Definition
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≞225EMeasured By
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≟225FQuestioned Equal To
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≠2260Not Equal To
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≡2261Identical To
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≢2262Not Identical To
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≣2263Strictly Equivalent To
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≤2264Less-Than or Equal To
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≥2265Greater-Than or Equal To
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≦2266Less-Than Over Equal To
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≧2267Greater-Than Over Equal To
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≨2268Less-Than But Not Equal To
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≩2269Greater-Than But Not Equal To
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≪226AMuch Less-Than
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≫226BMuch Greater-Than
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≬226CBetween
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≭226DNot Equivalent To
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≮226ENot Less-Than
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≯226FNot Greater-Than
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≰2270Neither Less-Than nor Equal To
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≱2271Neither Greater-Than nor Equal To
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≲2272Less-Than or Equivalent To
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≳2273Greater-Than or Equivalent To
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≴2274Neither Less-Than nor Equivalent To
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≵2275Neither Greater-Than nor Equivalent To
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≶2276Less-Than or Greater-Than
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≷2277Greater-Than or Less-Than
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≸2278Neither Less-Than nor Greater-Than
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≹2279Neither Greater-Than nor Less-Than
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≺227APrecedes
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≻227BSucceeds
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≼227CPrecedes or Equal To
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≽227DSucceeds or Equal To
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≾227EPrecedes or Equivalent To
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≿227FSucceeds or Equivalent To
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⊀2280Does Not Precede
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⊁2281Does Not Succeed
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⊂2282Subset Of
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⊃2283Superset Of
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⊄2284Not a Subset Of
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⊅2285Not a Superset Of
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⊆2286Subset of or Equal To
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⊇2287Superset of or Equal To
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⊈2288Neither a Subset of nor Equal To
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⊉2289Neither a Superset of nor Equal To
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⊊228ASubset of with Not Equal To
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⊋228BSuperset of with Not Equal To
Operators
Relations
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⊏228FSquare Image Of
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⊐2290Square Original Of
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⊑2291Square Image of or Equal To
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⊒2292Square Original of or Equal To
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Operators
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⊓2293Square Cap
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⊔2294Square Cup
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⊕2295Circled Plus
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⊖2296Circled Minus
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⊗2297Circled Times
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⊘2298Circled Division Slash
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⊙2299Circled Dot Operator
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⊚229ACircled Ring Operator
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⊛229BCircled Asterisk Operator
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⊜229CCircled Equals
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⊝229DCircled Dash
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⊞229ESquared Plus
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⊟229FSquared Minus
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⊠22A0Squared Times
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⊡22A1Squared Dot Operator
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⊢22A2Right Tack
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⊣22A3Left Tack
Miscellaneous mathematical symbols
Relations
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⊦22A6Assertion
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⊧22A7Models
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⊨22A8True
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⊩22A9Forces
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⊪22AATriple Vertical Bar Right Turnstile
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⊫22ABDouble Vertical Bar Double Right Turnstile
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⊬22ACDoes Not Prove
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⊭22ADNot True
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⊮22AEDoes Not Force
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⊯22AFNegated Double Vertical Bar Double Right Turnstile
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⊰22B0Precedes Under Relation
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⊱22B1Succeeds Under Relation
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⊲22B2Normal Subgroup Of
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⊳22B3Contains As Normal Subgroup
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⊴22B4Normal Subgroup of or Equal To
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⊵22B5Contains As Normal Subgroup or Equal To
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⊶22B6Original Of
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⊷22B7Image Of
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⊸22B8Multimap
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⊹22B9Hermitian Conjugate Matrix
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Operators
Miscellaneous mathematical symbols
N-ary operators
Operators
Relation
Operators
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⋉22C9Left Normal Factor Semidirect Product
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⋊22CARight Normal Factor Semidirect Product
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⋋22CBLeft Semidirect Product
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⋌22CCRight Semidirect Product
Relation
Logical operators
Relations
Operators
Relations
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⋔22D4Pitchfork
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⋕22D5Equal and Parallel To
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⋖22D6Less-Than with Dot
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⋗22D7Greater-Than with Dot
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⋘22D8Very Much Less-Than
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⋙22D9Very Much Greater-Than
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⋚22DALess-Than Equal To or Greater-Than
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⋛22DBGreater-Than Equal To or Less-Than
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⋜22DCEqual To or Less-Than
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⋝22DDEqual To or Greater-Than
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⋞22DEEqual To or Precedes
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⋟22DFEqual To or Succeeds
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⋠22E0Does Not Precede or Equal
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⋡22E1Does Not Succeed or Equal
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⋢22E2Not Square Image of or Equal To
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⋣22E3Not Square Original of or Equal To
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⋤22E4Square Image of or Not Equal To
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⋥22E5Square Original of or Not Equal To
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⋦22E6Less-Than But Not Equivalent To
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⋧22E7Greater-Than But Not Equivalent To
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⋨22E8Precedes But Not Equivalent To
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⋩22E9Succeeds But Not Equivalent To
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⋪22EANot Normal Subgroup Of
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⋫22EBDoes Not Contain As Normal Subgroup
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⋬22ECNot Normal Subgroup of or Equal To
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⋭22EDDoes Not Contain As Normal Subgroup or Equal
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Matrix ellipses
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⋮22EEVertical Ellipsis
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⋯22EFMidline Horizontal Ellipsis
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⋰22F0Up Right Diagonal Ellipsis
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⋱22F1Down Right Diagonal Ellipsis
Relations
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⋲22F2Element of with Long Horizontal Stroke
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⋳22F3Element of with Vertical Bar At End of Horizontal Stroke
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⋴22F4Small Element of with Vertical Bar At End of Horizontal Stroke
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⋵22F5Element of with Dot Above
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⋶22F6Element of with Overbar
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⋷22F7Small Element of with Overbar
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⋸22F8Element of with Underbar
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⋹22F9Element of with Two Horizontal Strokes
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⋺22FAContains with Long Horizontal Stroke
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⋻22FBContains with Vertical Bar At End of Horizontal Stroke
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⋼22FCSmall Contains with Vertical Bar At End of Horizontal Stroke
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⋽22FDContains with Overbar
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⋾22FESmall Contains with Overbar
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⋿22FFZ Notation Bag Membership