補助数学記号(ほじょすうがくきごう、)は、Unicodeの95個目のブロック。

解説 数学記号のうち、数学記号ブロックに含まれていないものが収録されている。

Unicodeのバージョン3.2において初めて追加された。

収録文字 コード文字文字名(英語)用例・説明n項演算子U+2A00⨀N-ARY CIRCLED DOT OPERATORU+2A01⨁N-ARY CIRCLED PLUS OPERATORn項演算子としてのU+2295 ⊕ CIRCLED PLUS。記号自体が大きく書かれ、記号の下に変数の開始値が、上に終了値が書かれることを意図している。 ベクトル演算において直和を表す。U+2A02⨂N-ARY CIRCLED TIMES OPERATORn項演算子としてのU+2297 ⊗ CIRCLED TIMES。記号自体が大きく書かれ、記号の下に変数の開始値が、上に終了値が書かれることを意図している。

ベクトル演算においてテンソル積を表す。U+2A03⨃N-ARY UNION OPERATOR WITH DOTU+2A04⨄N-ARY UNION OPERATOR WITH PLUSU+2A05⨅N-ARY SQUARE INTERSECTION OPERATORU+2A06⨆N-ARY SQUARE UNION OPERATORU+2A07⨇TWO LOGICAL AND OPERATORU+2A08⨈TWO LOGICAL OR OPERATORU+2A09⨉N-ARY TIMES OPERATORn項演算子としてのU+00D7 × Multiplication sign。記号自体が大きく書かれ、記号の下に変数の開始値が、上に終了値が書かれることを意図している。

ベクトル演算において外積を表す。総和記号及び積分記号U+2A0A⨊MODULO TWO SUMU+2A0B⨋SUMMATION WITH INTEGRALU+2A0C⨌QUADRUPLE INTEGRAL OPERATOR四重積分を表す。U+2A0D⨍FINITE PART INTEGRALU+2A0E⨎INTEGRAL WITH DOUBLE STROKEU+2A0F⨏INTEGRAL AVERAGE WITH SLASHU+2A10⨐CIRCULATION FUNCTIONU+2A11⨑ANTICLOCKWISE INTEGRATIONU+2A12⨒LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLEU+2A13⨓LINE INTEGRATION WITH SEMICIRCULAR PATH AROUND POLEU+2A14⨔LINE INTEGRATION NOT INCLUDING THE POLEU+2A15⨕INTEGRAL AROUND A POINT OPERATORU+2A16⨖QUATERNION INTEGRAL OPERATORU+2A17⨗INTEGRAL WITH LEFTWARDS ARROW WITH HOOKU+2A18⨘INTEGRAL WITH TIMES SIGNU+2A19⨙INTEGRAL WITH INTERSECTIONU+2A1A⨚INTEGRAL WITH UNIONU+2A1B⨛INTEGRAL WITH OVERBARU+2A1C⨜INTEGRAL WITH UNDERBARその他の大きな演算子U+2A1D⨝JOIN関係データベースの(relational database theory)で用いられる。U+2A1E⨞LARGE LEFT TRIANGLE OPERATORU+2A1F⨟Z NOTATION SCHEMA COMPOSITIONZ言語においてスキーマ構成(schema composition)を表す。U+2A20⨠Z NOTATION SCHEMA PIPINGZ言語においてスキーマのパイピング(schema piping)を表す。U+2A21⨡Z NOTATION SCHEMA PROJECTIONZ言語においてスキーマの投影(schema projection)を表す。加算及び減算演算子U+2A22⨢PLUS SIGN WITH SMALL CIRCLE ABOVEU+2A23⨣PLUS SIGN WITH CIRCUMFLEX ACCENT ABOVEU+2A24⨤PLUS SIGN WITH TILDE ABOVE差の絶対値、或いは総和を表す。U+2A25⨥PLUS SIGN WITH DOT BELOWU+2A26⨦PLUS SIGN WITH TILDE BELOW総和、或いは差の絶対値を表す。U+2A27⨧PLUS SIGN WITH SUBSCRIPT TWOにおいてを表す。U+2A28⨨PLUS SIGN WITH BLACK TRIANGLEU+2A29⨩MINUS SIGN WITH COMMA ABOVEU+2A2A⨪MINUS SIGN WITH DOT BELOWU+2A2B⨫MINUS SIGN WITH FALLING DOTSU+2A2C⨬MINUS SIGN WITH RISING DOTSU+2A2D⨭PLUS SIGN IN LEFT HALF CIRCLEU+2A2E⨮PLUS SIGN IN RIGHT HALF CIRCLE乗算及び除算演算子U+2A2F⨯VECTOR OR CROSS PRODUCTベクトル演算における外積を表す記号専用としてのU+00D7 × Multiplication sign。U+2A30⨰MULTIPLICATION SIGN WITH DOT ABOVEU+2A31⨱MULTIPLICATION SIGN WITH UNDERBARU+2A32⨲SEMIDIRECT PRODUCT WITH BOTTOM CLOSEDU+2A33⨳SMASH PRODUCT位相幾何学においてスマッシュ積を表す。U+2A34⨴MULTIPLICATION SIGN IN LEFT HALF CIRCLEU+2A35⨵MULTIPLICATION SIGN IN RIGHT HALF CIRCLEU+2A36⨶CIRCLED MULTIPLICATION SIGN WITH CIRCUMFLEX ACCENTU+2A37⨷MULTIPLICATION SIGN IN DOUBLE CIRCLEU+2A38⨸CIRCLED DIVISION SIGNその他の数学記号U+2A39⨹PLUS SIGN IN TRIANGLEU+2A3A⨺MINUS SIGN IN TRIANGLEU+2A3B⨻MULTIPLICATION SIGN IN TRIANGLEU+2A3C⨼INTERIOR PRODUCT線形代数学においてを表す。なお、「内積(inner product)」とは異なる概念である。U+2A3D⨽RIGHTHAND INTERIOR PRODUCTU+2A3E⨾Z NOTATION RELATIONAL COMPOSITIONZ言語において関係の構成(relational composition)を表す。U+2A3F⨿AMALGAMATION OR COPRODUCT直和或いは余積を表す。積集合及び和集合U+2A40⩀INTERSECTION WITH DOTU+2A41⩁UNION WITH MINUS SIGNZ言語において多重集合の減算(bag subtraction)を表す。U+2A42⩂UNION WITH OVERBARU+2A43⩃INTERSECTION WITH OVERBARU+2A44⩄INTERSECTION WITH LOGICAL ANDU+2A45⩅UNION WITH LOGICAL ORU+2A46⩆UNION ABOVE INTERSECTIONU+2A47⩇INTERSECTION ABOVE UNIONU+2A48⩈UNION ABOVE BAR ABOVE INTERSECTIONU+2A49⩉INTERSECTION ABOVE BAR ABOVE UNIONU+2A4A⩊UNION BESIDE AND JOINED WITH UNIONU+2A4B⩋INTERSECTION BESIDE AND JOINED WITH INTERSECTIONU+2A4C⩌CLOSED UNION WITH SERIFSU+2A4D⩍CLOSED INTERSECTION WITH SERIFSU+2A4E⩎DOUBLE SQUARE INTERSECTIONU+2A4F⩏DOUBLE SQUARE UNIONU+2A50⩐CLOSED UNION WITH SERIFS AND SMASH PRODUCT論理積及び論理和U+2A51⩑LOGICAL AND WITH DOT ABOVEU+2A52⩒LOGICAL OR WITH DOT ABOVEU+2A53⩓DOUBLE LOGICAL ANDU+2A54⩔DOUBLE LOGICAL ORU+2A55⩕TWO INTERSECTING LOGICAL ANDU+2A56⩖TWO INTERSECTING LOGICAL ORU+2A57⩗SLOPING LARGE ORU+2A58⩘SLOPING LARGE ANDU+2A59⩙LOGICAL OR OVERLAPPING LOGICAL ANDU+2A5A⩚LOGICAL AND WITH MIDDLE STEMU+2A5B⩛LOGICAL OR WITH MIDDLE STEMISO 2047では垂直タブ(U+000B)を表す。U+2A5C⩜LOGICAL AND WITH HORIZONTAL DASHU+2A5D⩝LOGICAL OR WITH HORIZONTAL DASHU+2A5E⩞LOGICAL AND WITH DOUBLE OVERBARU+2A5F⩟LOGICAL AND WITH UNDERBARU+2A60⩠LOGICAL AND WITH DOUBLE UNDERBARU+2A61⩡SMALL VEE WITH UNDERBARU+2A62⩢LOGICAL OR WITH DOUBLE OVERBARU+2A63⩣LOGICAL OR WITH DOUBLE UNDERBARその他の数学記号U+2A64⩤Z NOTATION DOMAIN ANTIRESTRICTIONZ言語において定義域の制限解除を表す。U+2A65⩥Z NOTATION RANGE ANTIRESTRICTIONZ言語において値域の制限解除を表す。関係演算子U+2A66⩦EQUALS SIGN WITH DOT BELOWU+2A67⩧IDENTICAL WITH DOT ABOVEU+2A68⩨TRIPLE HORIZONTAL BAR WITH DOUBLE VERTICAL STROKE幾何学において合同かつ平行であることを表す。U+2A69⩩TRIPLE HORIZONTAL BAR WITH TRIPLE VERTICAL STROKEU+2A6A⩪TILDE OPERATOR WITH DOT ABOVEU+2A6B⩫TILDE OPERATOR WITH RISING DOTSU+2A6C⩬SIMILAR MINUS SIMILARU+2A6D⩭CONGRUENT WITH DOT ABOVEU+2A6E⩮EQUALS WITH ASTERISKU+2A6F⩯ALMOST EQUAL TO WITH CIRCUMFLEX ACCENTU+2A70⩰APPROXIMATELY EQUAL OR EQUAL TOU+2A71⩱EQUALS SIGN ABOVE PLUS SIGNチェスのでは黒がわずかに有利であることを表す。U+2A72⩲PLUS SIGN ABOVE EQUALS SIGNチェスの代数式記譜法では白がわずかに有利であることを表す。U+2A73⩳EQUALS SIGN ABOVE TILDE OPERATORU+2A74⩴DOUBLE COLON EQUALU+2A75⩵TWO CONSECUTIVE EQUALS SIGNSプログラミング言語ではしばしば単一の等号=が代入を表すため、等価であることを表すために用いられる。U+2A76⩶THREE CONSECUTIVE EQUALS SIGNSプログラミング言語のRubyでは左辺の集合の中に右辺が含まれているかどうかを判定するために用いられる。U+2A77⩷EQUALS SIGN WITH TWO DOTS ABOVE AND TWO DOTS BELOWU+2A78⩸EQUIVALENT WITH FOUR DOTS ABOVEU+2A79⩹LESS-THAN WITH CIRCLE INSIDEU+2A7A⩺GREATER-THAN WITH CIRCLE INSIDEU+2A7B⩻LESS-THAN WITH QUESTION MARK ABOVEU+2A7C⩼GREATER-THAN WITH QUESTION MARK ABOVEU+2A7D⩽LESS-THAN OR SLANTED EQUAL TOU+2A7E⩾GREATER-THAN OR SLANTED EQUAL TOU+2A7F⩿LESS-THAN OR SLANTED EQUAL TO WITH DOT INSIDEU+2A80⪀GREATER-THAN OR SLANTED EQUAL TO WITH DOT INSIDEU+2A81⪁LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVEU+2A82⪂GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVEU+2A83⪃LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVE RIGHTU+2A84⪄GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVE LEFTU+2A85⪅LESS-THAN OR APPROXIMATEU+2A86⪆GREATER-THAN OR APPROXIMATEU+2A87⪇LESS-THAN AND SINGLE-LINE NOT EQUAL TOU+2A88⪈GREATER-THAN AND SINGLE-LINE NOT EQUAL TOU+2A89⪉LESS-THAN AND NOT APPROXIMATEU+2A8A⪊GREATER-THAN AND NOT APPROXIMATEU+2A8B⪋LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THANこれらの不等号は複号を含む不等式において用いられる。U+2A8C⪌GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THANU+2A8D⪍LESS-THAN ABOVE SIMILAR OR EQUALU+2A8E⪎GREATER-THAN ABOVE SIMILAR OR EQUALU+2A8F⪏LESS-THAN ABOVE SIMILAR ABOVE GREATER-THANこれらの不等号は複号を含む不等式において用いられる。U+2A90⪐GREATER-THAN ABOVE SIMILAR ABOVE LESS-THANU+2A91⪑LESS-THAN ABOVE GREATER-THAN ABOVE DOUBLE-LINE EQUALU+2A92⪒GREATER-THAN ABOVE LESS-THAN ABOVE DOUBLE-LINE EQUALU+2A93⪓LESS-THAN ABOVE SLANTED EQUAL ABOVE GREATER-THAN ABOVE SLANTED EQUALU+2A94⪔GREATER-THAN ABOVE SLANTED EQUAL ABOVE LESS-THAN ABOVE SLANTED EQUALU+2A95⪕SLANTED EQUAL TO OR LESS-THANU+2A96⪖SLANTED EQUAL TO OR GREATER-THANU+2A97⪗SLANTED EQUAL TO OR LESS-THAN WITH DOT INSIDEU+2A98⪘SLANTED EQUAL TO OR GREATER-THAN WITH DOT INSIDEU+2A99⪙DOUBLE-LINE EQUAL TO OR LESS-THANU+2A9A⪚DOUBLE-LINE EQUAL TO OR GREATER-THANU+2A9B⪛DOUBLE-LINE SLANTED EQUAL TO OR LESS-THANU+2A9C⪜DOUBLE-LINE SLANTED EQUAL TO OR GREATER-THANU+2A9D⪝SIMILAR OR LESS-THANU+2A9E⪞SIMILAR OR GREATER-THANU+2A9F⪟SIMILAR ABOVE LESS-THAN ABOVE EQUALS SIGNU+2AA0⪠SIMILAR ABOVE GREATER-THAN ABOVE EQUALS SIGNU+2AA1⪡DOUBLE NESTED LESS-THAN測度論において絶対連続を表す。U+2AA2⪢DOUBLE NESTED GREATER-THANU+2AA3⪣DOUBLE NESTED LESS-THAN WITH UNDERBARU+2AA4⪤GREATER-THAN OVERLAPPING LESS-THANU+2AA5⪥GREATER-THAN BESIDE LESS-THANU+2AA6⪦LESS-THAN CLOSED BY CURVEU+2AA7⪧GREATER-THAN CLOSED BY CURVEU+2AA8⪨LESS-THAN CLOSED BY CURVE ABOVE SLANTED EQUALU+2AA9⪩GREATER-THAN CLOSED BY CURVE ABOVE SLANTED EQUALU+2AAA⪪SMALLER THANISO 2047では復帰(U+000D)を表す。U+2AAB⪫LARGER THANISO 2047では水平タブ(U+0009)を表す。U+2AAC⪬SMALLER THAN OR EQUAL TOU+2AAD⪭LARGER THAN OR EQUAL TOU+2AAE⪮EQUALS SIGN WITH BUMPY ABOVEU+2AAF⪯PRECEDES ABOVE SINGLE-LINE EQUALS SIGN順序や濃度について左辺が右辺よりも前にあるか同じ、或いは濃度が小さいか同じであることを表す。U+2AB0⪰SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN順序や濃度について左辺が右辺よりも後にあるか同じ、或いは濃度が大きいか同じであることを表す。U+2AB1⪱PRECEDES ABOVE SINGLE-LINE NOT EQUAL TO順序や濃度について左辺が右辺よりも前にあり同じではない、或いは濃度が小さく同じではないことを表す。U+2AB2⪲SUCCEEDS ABOVE SINGLE-LINE NOT EQUAL TO順序や濃度について左辺が右辺よりも後にあり同じではない、或いは濃度が大きく同じではないことを表す。U+2AB3⪳PRECEDES ABOVE EQUALS SIGNU+2AAF ⪯ PRECEDES ABOVE SINGLE-LINE EQUALS SIGNの異体字。U+2AB4⪴SUCCEEDS ABOVE EQUALS SIGNU+2AB0 ⪰ SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN SIGNの異体字。U+2AB5⪵PRECEDES ABOVE NOT EQUAL TOU+2AB1 ⪱ PRECEDES ABOVE SINGLE-LINE NOT EQUAL TOの異体字。U+2AB6⪶SUCCEEDS ABOVE NOT EQUAL TOU+2AB2 ⪲ SUCCEEDS ABOVE SINGLE-LINE NOT EQUAL TOの異体字。U+2AB7⪷PRECEDES ABOVE ALMOST EQUAL TOU+2AB8⪸SUCCEEDS ABOVE ALMOST EQUAL TOU+2AB9⪹PRECEDES ABOVE NOT ALMOST EQUAL TOU+2ABA⪺SUCCEEDS ABOVE NOT ALMOST EQUAL TOU+2ABB⪻DOUBLE PRECEDES順序や濃度について左辺が右辺に比べて非常に前にある、或いは濃度が小さいことを表す。U+2ABC⪼DOUBLE SUCCEEDS順序や濃度について左辺が右辺に比べて非常に後にある、或いは濃度が大きいことを表す。部分集合の関係U+2ABD⪽SUBSET WITH DOTU+2ABE⪾SUPERSET WITH DOTU+2ABF⪿SUBSET WITH PLUS SIGN BELOWU+2AC0⫀SUPERSET WITH PLUS SIGN BELOWU+2AC1⫁SUBSET WITH MULTIPLICATION SIGN BELOWU+2AC2⫂SUPERSET WITH MULTIPLICATION SIGN BELOWU+2AC3⫃SUBSET OF OR EQUAL TO WITH DOT ABOVEU+2AC4⫄SUPERSET OF OR EQUAL TO WITH DOT ABOVEU+2AC5⫅SUBSET OF ABOVE EQUALS SIGNU+2AC6⫆SUPERSET OF ABOVE EQUALS SIGNU+2AC7⫇SUBSET OF ABOVE TILDE OPERATORU+2AC8⫈SUPERSET OF ABOVE TILDE OPERATORU+2AC9⫉SUBSET OF ABOVE ALMOST EQUAL TOU+2ACA⫊SUPERSET OF ABOVE ALMOST EQUAL TOU+2ACB⫋SUBSET OF ABOVE NOT EQUAL TOU+2ACC⫌SUPERSET OF ABOVE NOT EQUAL TOU+2ACD⫍SQUARE LEFT OPEN BOX OPERATORU+2ACE⫎SQUARE RIGHT OPEN BOX OPERATORU+2ACF⫏CLOSED SUBSETU+2AD0⫐CLOSED SUPERSETU+2AD1⫑CLOSED SUBSET OR EQUAL TOU+2AD2⫒CLOSED SUPERSET OR EQUAL TOU+2AD3⫓SUBSET ABOVE SUPERSETU+2AD4⫔SUPERSET ABOVE SUBSETU+2AD5⫕SUBSET ABOVE SUBSETU+2AD6⫖SUPERSET ABOVE SUPERSETU+2AD7⫗SUPERSET BESIDE SUBSETU+2AD8⫘SUPERSET BESIDE AND JOINED BY DASH WITH SUBSETフォークU+2AD9⫙ELEMENT OF OPENING DOWNWARDSU+2ADA⫚PITCHFORK WITH TEE TOPU+2ADB⫛TRANSVERSAL INTERSECTIONU+2ADC⫝̸FORKING非独立であることを表す。U+2ADD ⫝ NONFORKINGの否定。 等式論理用の記号であり、計算科学用の記号ではない。 非独立性(本来の概念)はフォークに関連している。U+2ADD⫝NONFORKING独立であることを表す。 等式論理用の記号であり、計算科学用の記号ではない。 独立性(本来の概念)はノンフォークに関連している。タック及びターンスタイルU+2ADE⫞SHORT LEFT TACKU+2ADF⫟SHORT DOWN TACKU+2AE0⫠SHORT UP TACKU+2AE1⫡PERPENDICULAR WITH SU+2AE2⫢VERTICAL BAR TRIPLE RIGHT TURNSTILE論理学において「左辺は通常は右辺を満たす」(ordinary satisfies)ことを表す。U+2AE3⫣DOUBLE VERTICAL BAR LEFT TURNSTILEU+2AE4⫤VERTICAL BAR DOUBLE LEFT TURNSTILEU+2AE5⫥DOUBLE VERTICAL BAR DOUBLE LEFT TURNSTILEU+2AE6⫦LONG DASH FROM LEFT MEMBER OF DOUBLE VERTICALU+2AE7⫧SHORT DOWN TACK WITH OVERBARU+2AE8⫨SHORT UP TACK WITH UNDERBARU+2AE9⫩SHORT UP TACK ABOVE SHORT DOWN TACKU+2AEA⫪DOUBLE DOWN TACKU+2AEB⫫DOUBLE UP TACK確率論において独立(independence)であることを表す。U+2AEC⫬DOUBLE STROKE NOT SIGNU+2AED⫭REVERSED DOUBLE STROKE NOT SIGN縦線演算子U+2AEE⫮DOES NOT DIVIDE WITH REVERSED NEGATION SLASHU+2AEF⫯VERTICAL LINE WITH CIRCLE ABOVEU+2AF0⫰VERTICAL LINE WITH CIRCLE BELOWU+2AF1⫱DOWN TACK WITH CIRCLE BELOW論理学において「左辺は必然的に右辺を満たす」(necessarily satisfies)ことを表す。U+2AF2⫲PARALLEL WITH HORIZONTAL STROKEU+2AF3⫳PARALLEL WITH TILDE OPERATORU+2AF4⫴TRIPLE VERTICAL BAR BINARY RELATIONinterleaveを表す訳語不明瞭。U+2AF5⫵TRIPLE VERTICAL BAR WITH HORIZONTAL STROKEその他の数学記号U+2AF6⫶TRIPLE COLON OPERATOR論理学で用いられる。関係U+2AF7⫷TRIPLE NESTED LESS-THANU+2AF8⫸TRIPLE NESTED GREATER-THANU+2AF9⫹DOUBLE-LINE SLANTED LESS-THAN OR EQUAL TOU+2AFA⫺DOUBLE-LINE SLANTED GREATER-THAN OR EQUAL TOU+2AFB⫻TRIPLE SOLIDUS BINARY RELATION演算子U+2AFC⫼LARGE TRIPLE VERTICAL BAR OPERATORしばしばn項演算子として記号自体が大きく書かれ、記号の下に変数の開始値が、上に終了値が書かれる。U+2AFD⫽DOUBLE SOLIDUS OPERATOR日本などにおける幾何学の平行記号(U+2225 ∥ parallel to)の異体字。U+2AFE⫾WHITE VERTICAL BARダイクストラ法における選択(Dijkstra choice)を表す。U+2AFF⫿N-ARY WHITE VERTICAL BARn項演算子としてのU+2AFE ⫾ WHITE VERTICAL BAR。

小分類