数学符号英文表示
数学符号
、希腊字母：α——阿尔法β——贝塔γ——伽马Δ——德尔塔ξ——可sei ψ——可赛ω——奥秘噶μ——米哟λ——南木打σ——西格玛τ——套φ——fai2、数学运算符：∑—连加号∏—连乘号∪—并∩—补∈—属于∵—因为∴—所以√—根号‖—平行⊥—垂直∠—角⌒—弧⊙—圆∝—正比于∞—无穷∫—积分≈—约等≡—恒等3、三角函数：sin—赛因cos—考赛因tan—叹近体cot—考叹近体sec—赛看近体csc —考赛看近体序号大写小写英文注音国际音标注音中文注音1 Α α alpha a:lf 阿尔法2 Β β beta bet 贝塔3 Γ γ gamma ga:m 伽马4 Δ δ delta delt 德尔塔5 Ε ε epsilon ep`silon 伊普西龙6 Ζ ζ zeta zat 截塔7 Η η eta eit 艾塔8 Θ θ thet θit 西塔9 Ι ι iot aiot 约塔10 Κ κ k appa kap 卡帕11 Λ λ lambda lambd 兰布达12 Μ μ mu mju 缪13 Ν ν nu nju 纽14 Ξ ξ xi ksi 克西15 Ο ο omicron omik`ron 奥密克戎16 Π π pi pai 派17 Ρ ρ rho rou 肉18 Σ σ sigma `sigma 西格马19 Τ τ tau tau 套20 Υ υ upsilon jup`silon 宇普西龙21 Φ φ phi fai 佛爱22 Χ χ c hi phai 西23 Ψ ψ psi psai 普西24 Ω ω omega o`miga 欧米伽希腊字母的正确读法是什么？1 Α α alpha a:lf 阿尔法2 Β β beta bet 贝塔3 Γ γ gamma ga:m 伽马4 Δ δ delta delt 德尔塔5 Ε ε epsilon ep`silon 伊普西龙6 Ζ ζ zeta zat 截塔7 Η η eta eit 艾塔8 Θ θ thet θit 西塔9 Ι ι iot aiot 约塔10 Κ κ kappa kap 卡帕11 ∧λ lambda lambd 兰布达12 Μ μ mu mju 缪13 Ν ν nu nju 纽磁阻系数14 Ξ ξ xi ksi 克西15 Ο ο omicron omik`ron 奥密克戎16 ∏ π pi pai 派17 Ρ ρ rho rou 肉18 ∑ σ sigma `sigma 西格马19 Τ τ tau tau 套20 Υ υ upsilon jup`silon 宇普西龙21 Φ φ phi f ai 佛爱22 Χ χ chi phai 西23 Ψ ψ psi psai 普西角速；24 Ω ω omega o`miga 欧米伽希腊字母读法Αα：阿尔法AlphaΒβ：贝塔BetaΓγ：伽玛GammaΔδ：德尔塔DelteΕε：艾普西龙Epsilonζ ：捷塔ZetaΖη：依塔EtaΘθ：西塔ThetaΙι：艾欧塔IotaΚκ：喀帕Kappa∧λ：拉姆达LambdaΜμ：缪MuΝν：拗NuΞξ：克西XiΟο：欧麦克轮Omicron∏π：派PiΡρ：柔Rho∑σ：西格玛SigmaΤτ：套TauΥυ：宇普西龙UpsilonΦφ：fai PhiΧχ：器ChiΨψ：普赛PsiΩω：欧米伽Omega数学符号大全2008年01月29日星期二 15:25因为自然科学的讨论经常要用到数学，但用文本方式只能表达L!t d5w x r ^ |$s Y 左右结构的数学公式，上下结构、根式、指数等都很难表达。
数学符号[宝典]
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1、希腊字母：α——阿尔法β——贝塔γ——伽马Γ——德尔塔μ——可sei ψ——可赛ω——奥秘噶κ——米哟ι——南木打ζ——西格玛η——套θ——fai2、数学运算符：ⅲ—连加号ⅱ—连乘号ⅻ—并ⅺ—补ⅰ—属于ⅿ—因为ⅾ—所以ⅳ—根号‖—平行—垂直ⅶ—角—弧↋—圆ⅴ—正比于ⅵ—无穷ⅼ—积分Ↄ—约等ↆ—恒等3、三角函数：sin—赛因cos—考赛因tan—叹近体cot—考叹近体sec—赛看近体csc —考赛看近体序号大写小写英文注音国际音标注音中文注音1 Α α alpha a:lf 阿尔法2 Β β beta bet 贝塔3 Γ γ gamma ga:m 伽马4 Γ δ delta delt 德尔塔5 Δ ε epsilon ep`silon 伊普西龙6 Ε δ zeta zat 截塔7 Ζ ε eta eit 艾塔8 Θ ζ thet ζit 西塔9 Η η iot aiot 约塔10 Θ θ kappa kap 卡帕11 Ι ι lambda lambd 兰布达12 Κ κ mu mju 缪13 Λ λ nu n ju 纽14 Μ μ xi ksi 克西15 Ν ν omicron omik`ron 奥密克戎16 Ξ π pi pai 派17 Ο ξ rho rou 肉18 Π ζ sigma `sigma 西格马19 Ρ η tau tau 套20 υ upsilon jup`silon 宇普西龙21 Φ θ phi fai 佛爱22 Σ χ chi phai 西23 Τ ψ psi psai 普西24 Υ ω omega o`miga 欧米伽希腊字母的正确读法是什么？1 Α α alpha a:lf 阿尔法2 Β β beta bet 贝塔3 Γ γ gamma ga:m 伽马4 Γ δ delta delt 德尔塔5 Δ ε epsilon ep`silon 伊普西龙6 Ε δ zeta zat 截塔7 Ζ ε eta eit 艾塔8 Θ ζ thet ζit 西塔9 Η η iot aiot 约塔10 Κ θ kappa kap 卡帕11 ⅸι lambda lambd 兰布达12 Μ κ mu mju 缪13 Ν λ nu nju 纽磁阻系数14 Ξ μ xi ksi 克西15 Ο ν omicron omik`ron 奥密克戎16 ∏ π pi pai 派17 Ρ ξ rho rou 肉18 ∑ ζ sigma `sigma 西格马19 Σ η tau tau 套20 Τ υ upsilon jup`silon 宇普西龙21 Φ θ phi fai 佛爱22 Υ χ chi phai 西23 Φ ψ psi psai 普西角速；24 Χ ω omega o`miga 欧米伽希腊字母读法Αα：阿尔法AlphaΒβ：贝塔BetaΓγ：伽玛GammaΓδ：德尔塔DelteΔε：艾普西龙Epsilonδ ：捷塔ZetaΕε：依塔EtaΘζ：西塔ThetaΗη：艾欧塔IotaΚθ：喀帕Kappaⅸι：拉姆达LambdaΜκ：缪MuΝλ：拗NuΞμ：克西XiΟν：欧麦克轮Omicron∏π：派PiΡξ：柔Rho∑ζ：西格玛SigmaΣη：套TauΤυ：宇普西龙UpsilonΦθ：fai PhiΥχ：器ChiΦψ：普赛PsiΧω：欧米伽Omega数学符号大全各种符号的英文读法'exclam'＝'!''at'＝'@''numbersign'＝'#''dollar'＝'$''percent'＝'%''caret'＝'^''ampersand'＝'&''asterisk'＝'*''parenleft'＝'(''parenright'＝')''minus'＝'-''underscore'＝'_''equal'＝'=''plus'＝'+''bracketleft'＝'''braceright'＝'}''semicolon'＝';''colon'＝':''quote'＝''''doublequote'＝'"''backquote'＝''''tilde'＝'~''backslash'＝'\''bar'＝'|''comma'＝',''less'＝'<''period'＝'.''greater'＝'>''slash'＝'/''question'＝'?''space'＝' '~~~~~~~~~~~~~~~~~~~~~~｡ hyphen 连字符' apostrophe 省略号；所有格符号— dash 破折号‘ ’single quotation marks 单引号“ ”double quotation m arks 双引号( ) parentheses 圆括号square brackets 方括号Angle bracket{} Brace《》French quotes 法文引号；书名号... ellipsis 省略号¨ tandem colon 双点号" ditto 同上‖ parallel 双线号／ virgule 斜线号＆ ampersand = and～ swung dash 代字号§ section; division 分节号Ⅾ arrow 箭号；参见号＋ plus 加号；正号－ minus 减号；负号ª plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号＝ is equal to 等于号ↅ is not equal to 不等于号ↆ is equivalent to 全等于号ↄ is equal to or approximately equal to 等于或约等于号Ↄ is approximately equal to 约等于号＜ is less than 小于号＞ is more than 大于号↉ is not less than 不小于号↊ is not more than 不大于号ↇ is less than or equal to 小于或等于号ↈ is more than or equal to 大于或等于号％ per cent 百分之…‟ per mill 千分之…ⅵ infinity 无限大号ⅴ varies as 与…成比例ⅳ (square) root 平方根ⅿ since; b ecause 因为ⅾ hence 所以ↁ equals, as (proportion) 等于，成比例ⅶ angle 角 semicircle 半圆↋ circle 圆◈ circumference 圆周π pi 圆周率△ triangle 三角形 perpendicular to 垂直于ⅻ union of 并，合集ⅺ intersection of 交，通集ⅼ the integral of …的积分ⅲ (sigma) summation of 总和© degree 度† minute 分‡ second 秒＃number …号‣ Celsius system 摄氏度＠ at 单价x'是x prime(比如转置矩阵)x"是x double-prime数学符号大全1 几何符号ⅷⅶ↋ↆↄ△‖2 代数符号ⅴⅸⅹ～ⅼↅↇↈↃⅵↀ3运算符号×÷ⅳª4集合符号ⅻⅺⅰⅰↇↈ⊆⊂5特殊符号ⅲπ（圆周率）6推理符号|a| ↂ△ⅶⅺⅻↅↆªↈↇⅰⅬⅭⅮⅯ↖↗↘↙ⅷⅸⅹ&; §←↑→↓↔↕↖↗ΓΓΘΛΞΟΠΦΥΦΧαβγδεδεζηθικλμνπξζηυθχψωⅠⅡⅢⅣⅤⅥⅦⅧⅨⅩⅪⅫ﹪﹫ﹰﹱﹲﹳⅰⅱⅲ↚ⅳⅴⅵ↛ⅶ↜ⅷⅸⅹⅺⅻⅼⅽⅾⅿↀↁↂↃↄ↝ↅↆↇↈ↞↟↉↊？↋↠‣上述符号所表示的意义和读法（中英文参照）＋plus 加号；正号－minus 减号；负号±plus or minus 正负号×is multiplied by 乘号÷is divided by 除号＝is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号ↄis approximately equal to 约等于≈ is approximately equal to 约等于号＜is less than 小于号＞is more than 大于号≤ is less than or equal to 小于或等于≥ is more than or equal to 大于或等于％per cent 百分之…∞ infinity 无限大号√ (square) root 平方根X squared X的平方X cubed X的立方ⅿsince; because 因为ⅾhence 所以ⅶangle 角semicircle 半圆↋circle 圆○ circumference 圆周△triangle 三角形perpendicular to 垂直于ⅻintersection of 并，合集∩ union of 交，通集∫ the integral of …的积分∑ (sigma) summation of 总和°degree 度′ minute 分〃second 秒＃number …号＠at 单价符号意义ⅵ无穷大PI 圆周率|x| 函数的绝对值ⅻ集合并ⅺ集合交ↈ大于等于ↇ小于等于ↆ恒等于或同余ln(x) 自然对数lg(x) 以2为底的对数log(x) 常用对数floor(x) 上取整函数ceil(x) 下取整函数x mod y 求余数{x} 小数部分 x - floor(x)ⅼf(x)δx 不定积分ⅼ[a:b]f(x)δx a到b的定积分[P] P为真等于1否则等于0ⅲ[1ↇkↇn]f(k) 对n进行求和,可以拓广至很多情况如：ⅲ[n is prime][n < 10]f(n)ⅲⅲ[1ↇiↇjↇn]n^2lim f(x) (x->?) 求极限f(z) f关于z的m阶导函数C(n:m) 组合数,n中取mP(n:m) 排列数m|n m整除nmn m与n互质a ⅰ A a属于集合A#A 集合A中的元素个数ⅰⅱⅲⅳⅵⅶ↜ⅷⅸⅹⅺⅻⅼⅽⅾⅿↂↃↄↅↆↇↈ↞↟？↋ •数学符号大全收藏运算符： ± × ÷ ↀ∫ ⅽↆↄ≈ ↂⅴ↝≠ ↆ≤ ≥ ↞↟↉↊／√ ‰ ∑ ∏ ＆关系运算符：ⅸⅹ集合符号：ⅻⅺⅰ↜⊆序号：←↑→↓↔↕↖↗ⅠⅡⅢⅣⅤⅥⅦⅧⅨⅩⅪⅫ﹪﹫ﹰﹱﹲﹳ≈㈠㈡㈢㈣㈤㈥㈦㈧㈨㈩其它：～ ± × ÷ ∑ⅻⅺⅰ√ⅷⅶ↋ↆↄ≈ↂ≠↉↊≤≥∞ⅿⅾ☈☇‣｟‰☆★○●◉◇◆□■△▲ⅮⅠⅡⅢⅣⅤⅥⅦⅧⅨⅩⅪⅫ＊ΟαβγδεζηθικλμνξποστυφχψωΑ Β Γ Δ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Ωα β γ δ ε ζ η θ ι κ λ μ μ ν ξ π ο σ τ υ φ χψ ωⅬⅭⅮⅯ↖↗↘↙∞ ⅾⅿↀↁ° ′ ″ ‣▝↠△↋ⅶⅷ〓〔〈〉《》「」『』〕〖【】（）［］｛｝ﹶ§ № •＃＆＠☆★○● ◉△▲◇◆□ ■〒▙▛▚▘☇☈ⅬⅭⅮⅯ↖↗↘↙ⅰ∏∑↠∕√ⅴ∞↛ⅶ↜ⅷⅸⅹⅺⅻ∫ⅽⅾⅿↀↁↂ≈ↄ↝≠ↆ≤≥↞↟↉↊﹞﹟﹠﹡﹢﹣﹤﹥﹦﹨﹩！﹖﹗＂＃＄％＆＇＊＼＾＿｀｜～｟｠ﹴ｡｢▝↋▔▕■□▲△▖▗◆◇◈◉●▘▙▚▛★☆▜☇☈、。
各种数学符号和表达式的英文读法
各种数学符号和表达式的英文读法.txt52每个人都一条抛物线，天赋决定其开口，而最高点则需后天的努力。
没有秋日落叶的飘零，何来新春绿芽的饿明丽？只有懂得失去，才会重新拥有。
各种数学符号和表达式的英文读法一、一般符号对应的英文单词．period 句号，comma 逗号：colon 冒号；semicolon 分号！exclamation 惊叹号？question mark 问号￣hyphen 连字符'apostrophe 省略号；所有格符号—dash 破折号‘ ’single quotat ion marks 单引号“ ”double quotation marks 双引号( )parentheses 圆括号[ ]square brackets 方括号《》French quotes 法文引号；书名号...ellipsis 省略号¨tandem colon 双点号"ditto 同上‖parallel 平行／virgule 斜线号＆ampersand = and～swung dash 代字号§section; division 分节号→arrow 箭号；参见号＋plus 加号；正号－minus 减号；负号ªplus or minus 正负号×is multiplied by or cross 叉乘÷is divided by 除号＝is equal to 等于号≠is not equal to 不等于号≡is equivalent to 全等于号≌is equal to or approximately equal to 等于或约等于号≈is approximately equal to 约等于号＜is less than 小于号＞is more than （is greater than在数学中更常用）大于号≤is not less than 不小于号≥is not more than 不大于号≢is less than or equal to 小于或等于号≣is more than or equal to 大于或等于号％per cent 百分之…‟per mill 千分之…∞infinity 无限大号∝varies as 与…成比例√(square) root 平方根∵since; because 因为∴hence 所以∷equals, as (proportion) 等于，成比例∟angle 角≨semicircle 半圆≦circle 圆○circumference 圆周πpi 圆周率△triangle 三角形≧perpendicular to 垂直于；另外normal to，right to也都有垂直的意思。
中英文数学统计符号大全
+ plus 加号；正号- minus 减号；负号± plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号＝is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌is equal to or approximately equal to 等于或约等于≈ is approximately equal to 约等于号＜is less than 小于号＞is more than 大于号≮is not less than 不小于号≯is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号% per cent 百分之…‰ per m ill 千分之…∞ infinity 无限大号∝varies as 与…成比例√ (square) root 平方根∵since; because 因为∴hence 所以∷equals, as (proportion) 等于,成比例∠angle 角⌒semicircle 半圆⊙circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥perpendicular to 垂直于∪union of 并,合集∩ intersec tion of 交,通集∫ the integral of …的积分∑ (sigma) summation of 总和° degree 度′ minute 分〃second 秒℃Celsius system 摄氏度{ open brace, open curly 左花括号} close brace, close curly 右花括号( open parenthesis, open paren 左圆括号) close parenthesis, close paren 右圆括号() brakets/ parentheses 括号[ open bracket 左方括号] close bracket 右方括号[] square brackets 方括号. period, dot 句号,点| vertical bar, vertical virgule 竖线& ampersand, and, reference, ref 和,引用* asterisk, multiply, star, pointer 星号,乘号,星,指针/ slash, divide, oblique 斜线,斜杠,除号// slash-slash, comment 双斜线,注释符# pound 井号\ backslash, sometimes escape 反斜线转义符,有时表示转义符或续行符~ tilde 波浪符. full stop 句号, comma 逗号: colon 冒号; semicolon 分号? question mark 问号! exclamation mark (英式) exclamation point (美式)' apostrophe 撇号- hyphen 连字号-- dash 破折号... dots/ ellipsis 省略号" single quotation marks 单引号"" double quotation marks 双引号‖ parallel 双线号& ampersand = and～swung dash 代字号§ section; division 分节号→ arrow 箭号；参见号。
数字符号英语及发音大全
x = 5 x equals 5; x is equal to 5
x ≈ y x is approximately equal to y
x ≡ y x is equivalent to y; x is identical with y
x ≠ y x is not equal to y
x% x percent
∞ infinity
x ∝ y x varies as y; x is (directly) proportional to y
x ∝ 1/y x varies as one over y; x is indirectly proportional to y
? x dot
∣∣ parallel to /'p?r?lel t?/
? not equivalent to, not identical to /'n?t ?k'w?v?l?nt t?/ /'n?t a?'dent?kl t?/
?? not similar to /'n?t 's?m?l? t?/
2 squared /'skwe?d/
? contained in; a proper subset of /k?n'te?nd ?n/ /'pr?p? 's?bset/
? contained in; subset /'s?bset/
? intersection /'?nt?sek??n/
? union /'ju?n??n/
? not greater than /'n?t 'gre?t? e?n/
常用数学符号的英文表达
常用数学符号的英文表达第一章函数与极限Chapter1 Function and Limit集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood领域的半径radius of a neighborhood左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function逆映射inverse mapping复合映射composite mapping自变量independent variable因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function 对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inverse trigonometric function 常数函数constant function双曲函数hyperbolic function双曲正弦hyperbolic sine双曲余弦hyperbolic cosine双曲正切hyperbolic tangent反双曲正弦inverse hyperbolic sine反双曲余弦inverse hyperbolic cosine反双曲正切inverse hyperbolic tangent极限limit数列 sequence of number收敛 convergence收敛于 a converge to a发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of a convergent sequence子列 subsequence函数的极限 limits of functions函数()f x 当x 趋于x 0时的极限 limit of functions ()f x as x approaches x 0 左极限 left limit右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote无穷小 infinitesimal无穷大 infinity铅直渐近线 vertical asymptote夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order低阶无穷小 infinitesimal of lower order同阶无穷小 infinitesimal of the same order等阶无穷小 equivalent infinitesimal函数的连续性 continuity of a function增量 increment函数()f x 在x 0连续 the function ()f x is continuous at x 0左连续 left continuous右连续 right continuous区间上的连续函数 continuous function函数()f x 在该区间上连续 function ()f x is continuous on an interval不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind初等函数的连续性continuity of the elementary functions 定义区间defined interval最大值global maximum value (absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem。
数学符号的英文表达
university
university
∫ the integral of [ˈ ɪntɪgrəl] n.整体; 积分; …的积分 ∑(sigma) the summation of …的和 ∏(pi) the product of …的积 lim x→ 0 + the limit as x approaches zero from above lim x→ 0 − the limit as x approaches zero from below dy the derivative of y [dɪˈr ɪvətɪv] n.导数，微商 f'( x ) f prime x / f dash x / the (first) derivative of f with respect to x f''( x ) f doublend derivative of f with respect to x f'''( x ) f triple-prime x / f triple-dash x / the third derivative of f with respect to x
Mean Valve Theorem
Theorem: If f’(x) = 0 on [a,b] The f’(x) constant on [a,b]. i.e. f(x) = f(a) for all x belong to (a,b] Proof: Assume there is a special x-value and f(x)≠f(a) Then (f(x)-f(a)) / (x-a) = m ave ≠0 There is a point C in (a,x) with f’(c) = m ave ≠0 Then this contradicts the given fact that f’(x) =0 for all x belong to (a,b) So the assumption f(x) ≠f(a) must be fake and instead, f(x)=f(a) for all x belong to (a,b]. Theorem : [ˈθ ɪərəm] n.定理 i.e. : [ˈa ɪ ˈi:]abbr.(=that is) 即，换言之
数学符号对应的英文的读法
一、一般符号对应的英文单词．period 句号，comma 逗号：colon 冒号；semicolon 分号！exclamation 惊叹号？question mark 问号─ hyphen 连字符‟ apostrophe 省略号；所有格符号— dash 破折号…‟single quotation marks 单引号“”double quotation marks 双引号( ) parentheses 圆括号[ ] square brackets 方括号《》French quotes 法文引号；书名号... ellipsis 省略号¨ tandem colon 双点号" ditto 同上‖parallel 平行／virgule 斜线号＆ampersand = and～swung dash 代字号§ section; division 分节号→ arrow 箭号；参见号＋plus 加号；正号－minus 减号；负号± plus or minus 正负号× is multiplied by or cross 叉乘÷ is divided by 除号＝is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌is equal to or approximately equal to 等于或约等于号≈ is approximately equal to 约等于号＜is less than 小于号＞is more than （is greater than在数学中更常用）大于号≮is not less than 不小于号≯is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号％per cent 百分之…‰ per mill 千分之…∞ infinity 无限大号∝varies as 与…成比例√ (square) root 平方根∵since; because 因为∴hence 所以∷equals, as (proportion) 等于，成比例∠angle 角≲semicircle 半圆≰circle 圆○ circumference 圆周π pi 圆周率△triangle 三角形≱perpendicular to 垂直于；另外normal to，right to也都有垂直的意思。
数学字母符号
数学字母符号数学领域有许多非常重要的符号，这些符号在数学研究中起着至关重要的作用。
下面，我将简单地介绍一些常见的数学字母符号。
一、希腊字母符号：1. α (alpha)：希腊字母中的第一个字母，往往用于表示角度、系数等。
2. β (beta)：希腊字母中的第二个字母，往往用于表示系数、角度等。
3. γ (gamma)：希腊字母中的第三个字母，往往用于表示角度、系数等。
4. δ (delta)：希腊字母中的第四个字母，往往用于表示差异、微小变化等。
5. ε (epsilon)：希腊字母中的第五个字母，往往用于表示误差、极小量等。
6. ζ (zeta)：希腊字母中的第六个字母，往往用于表示函数中的变量。
7. η (eta)：希腊字母中的第七个字母，往往用于表示数据中的变量。
8. θ (theta)：希腊字母中的第八个字母，往往用于表示角度、温度等。
9. ι (iota)：希腊字母中的第九个字母，往往用于表示一个很小的数字。
10. κ (kappa)：希腊字母中的第十个字母，往往用于表示系数、角度等。
11. λ (lambda)：希腊字母中的第十一个字母，往往用于表示常数、波长等。
12. μ (mu)：希腊字母中的第十二个字母，往往用于表示平均数、质量等。
13. ν (nu)：希腊字母中的第十三个字母，往往用于表示频率、速度等。
14. ξ (xi)：希腊字母中的第十四个字母，往往用于表示未知数、角度等。
15. π (pi)：希腊字母中的第十五个字母，往往用于表示圆的周长与直径之比。
16. ρ (rho)：希腊字母中的第十六个字母，往往用于表示电阻、电导率等。
17. σ (sigma)：希腊字母中的第十七个字母，往往用于表示标准差、总体方差等。
18. τ (tau)：希腊字母中的第十八个字母，往往用于表示时间常数、力矩等。
19. υ (upsilon)：希腊字母中的第十九个字母，往往用于表示平均速度、位移等。
常用数学符号的英文表达
常用数学符号的英文表达English Expression of the Mathematical Symbol in Common Use第一部分英汉微积分词汇Part1 English-Chinese Calculus V ocabulary第一章函数与极限Chapter1 Function and Limit集合set元素element子集subset空集empty set并集union交集intersection差集difference of set基本集basic set补集complement set直积direct product笛卡儿积Cartesian product开区间open interval闭区间closed interval半开区间half open interval有限区间finite interval区间的长度length of an interval无限区间infinite interval领域neighborhood领域的中心centre of a neighborhood领域的半径radius of a neighborhood左领域left neighborhood右领域right neighborhood映射mappingX到Y的映射mapping of X ontoY满射surjection单射injection一一映射one-to-one mapping双射bijection算子operator变化transformation函数function 逆映射inverse mapping复合映射composite mapping自变量independent variable因变量dependent variable定义域domain函数值value of function函数关系function relation值域range自然定义域natural domain单值函数single valued function多值函数multiple valued function单值分支one-valued branch函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part阶梯曲线step curve当且仅当if and only if(iff)分段函数piecewise function上界upper bound下界lower bound有界boundedness无界unbounded函数的单调性monotonicity of a function 单调增加的increasing单调减少的decreasing单调函数monotone function函数的奇偶性parity(odevity) of a function对称symmetry偶函数even function奇函数odd function函数的周期性periodicity of a function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数 trigonometric function反三角函数 inverse trigonometric function 常数函数 constant function 双曲函数 hyperbolic function 双曲正弦 hyperbolic sine 双曲余弦 hyperbolic cosine 双曲正切 hyperbolic tangent反双曲正弦 inverse hyperbolic sine 反双曲余弦 inverse hyperbolic cosine 反双曲正切 inverse hyperbolic tangent 极限 limit数列 sequence of number 收敛 convergence 收敛于 a converge to a 发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of aconvergent sequence子列 subsequence函数的极限 limits of functions函数()f x 当x 趋于x 0时的极限 limit of functions ()f x as x approaches x 0 左极限 left limit 右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote 无穷小 infinitesimal 无穷大 infinity铅直渐近线 vertical asymptote 夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order 低阶无穷小 infinitesimal of lower order 同阶无穷小 infinitesimal of the same order 等阶无穷小 equivalent infinitesimal 函数的连续性 continuity of a function 增量 increment函数()f x 在x 0连续 the function ()f x is continuous at x 0左连续 left continuous 右连续 right continuous区间上的连续函数 continuous function 函数()f x 在该区间上连续 function ()f x is continuous on an interval 不连续点 discontinuity point第一类间断点 discontinuity point of the first kind第二类间断点 discontinuity point of the second kind初等函数的连续性 continuity of the elementary functions定义区间 defined interval最大值 global maximum value (absolute maximum)最小值 global minimum value (absolute minimum)零点定理 the zero point theorem 介值定理 intermediate value theorem第二章 导数与微分Chapter2 Derivative and Differential 速度 velocity匀速运动 uniform motion 平均速度 average velocity瞬时速度 instantaneous velocity 圆的切线 tangent line of a circle 切线 tangent line切线的斜率 slope of the tangent line 位置函数 position function 导数 derivative 可导 derivable函数的变化率问题 problem of the change rate of a function导函数 derived function 左导数 left-hand derivative 右导数 right-hand derivative 单侧导数 one-sided derivatives()f x 在闭区间【a,b 】上可导 ()f x isderivable on the closed interval [a,b] 切线方程 tangent equation 角速度 angular velocity 成本函数 cost function 边际成本 marginal cost 链式法则 chain rule隐函数implicit function显函数explicit function二阶函数second derivative三阶导数third derivative高阶导数nth derivative莱布尼茨公式Leibniz formula对数求导法log- derivative参数方程parametric equation相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable微商differential quotient间接测量误差indirect measurement error 绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives罗马定理Rolle’s theorem费马引理Fermat’s lemma拉格朗日中值定理Lagrange’s mean value theorem驻点stationary point稳定点stable point临界点critical point辅助函数auxiliary function拉格朗日中值公式Lagrange’s mean value formula柯西中值定理Cauchy’s mean value theorem洛必达法则L’Hospital’s Rule0/0型不定式indeterminate form of type 0/0不定式indeterminate form泰勒中值定理Taylor’s mean value theorem泰勒公式Taylor formula余项remainder term拉格朗日余项Lagrange remainder term 麦克劳林公式Maclaurin’s formula佩亚诺公式Peano remainder term 凹凸性concavity凹向上的concave upward, cancave up凹向下的，向上凸的concave downward’concave down拐点inflection point函数的极值extremum of function极大值local(relative) maximum最大值global(absolute) mximum极小值local(relative) minimum最小值global(absolute) minimum目标函数objective function曲率curvature弧微分arc differential平均曲率average curvature曲率园circle of curvature曲率中心center of curvature曲率半径radius of curvature渐屈线evolute渐伸线involute根的隔离isolation of root隔离区间isolation interval切线法tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数primitive function(antiderivative) 积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts有理函数rational function真分式proper fraction假分式improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形trapezoid with曲边curve edge窄矩形narrow rectangle曲边梯形的面积area of trapezoid with curved edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable矩形法rectangle method积分中值定理mean value theorem of integrals函数在区间上的平均值average value of a function on an integvals牛顿－莱布尼茨公式Newton-Leibniz formula微积分基本公式fundamental formula of calculus换元公式formula for integration by substitution递推公式recurrence formula反常积分improper integral反常积分发散the improper integral is divergent反常积分收敛the improper integral is convergent无穷限的反常积分improper integral on an infinite interval无界函数的反常积分improper integral of unbounded functions绝对收敛absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法the element method面积元素element of area平面图形的面积area of a luane figure直角坐标又称“笛卡儿坐标(Cartesian coordinates)”极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation旋转椭球体ellipsoid of revolution, ellipsoid of rotation曲线的弧长arc length of acurve 可求长的rectifiable光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量vector自由向量free vector单位向量unit vector零向量zero vector相等equal平行parallel向量的线性运算linear poeration of vector 三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law负向量negative vector差difference分配律distributive law空间直角坐标系space rectangular coordinates坐标面coordinate plane卦限octant向量的模modulus of vector向量a与b的夹角angle between vector a and b方向余弦direction cosine方向角direction angle向量在轴上的投影projection of a vector onto an axis数量积，外积，叉积scalar product,dot product,inner product曲面方程equation for a surface球面sphere旋转曲面surface of revolution母线generating line轴axis圆锥面cone顶点vertex旋转单叶双曲面revolution hyperboloidsof one sheet旋转双叶双曲面revolution hyperboloids of two sheets柱面cylindrical surface ,cylinder圆柱面cylindrical surface准线directrix抛物柱面parabolic cylinder二次曲面quadric surface椭圆锥面dlliptic cone椭球面ellipsoid单叶双曲面hyperboloid of one sheet双叶双曲面hyperboloid of two sheets旋转椭球面ellipsoid of revolution椭圆抛物面elliptic paraboloid旋转抛物面paraboloid of revolution双曲抛物面hyperbolic paraboloid马鞍面saddle surface椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve空间曲线的一般方程general form equations of a space curve空间曲线的参数方程parametric equations of a space curve螺转线spiral螺矩pitch投影柱面projecting cylinder投影projection平面的点法式方程pointnorm form eqyation of a plane法向量normal vector平面的一般方程general form equation of a plane两平面的夹角angle between two planes 点到平面的距离distance from a point to a plane空间直线的一般方程general equation of a line in space方向向量direction vector直线的点向式方程pointdirection form equations of a line方向数direction number直线的参数方程parametric equations of a line两直线的夹角angle between two lines垂直perpendicular直线与平面的夹角angle between a line and a planes平面束pencil of planes平面束的方程equation of a pencil of planes行列式determinant系数行列式coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application一元函数function of one variable多元函数function of several variables内点interior point外点exterior point边界点frontier point,boundary point聚点point of accumulation开集openset闭集closed set连通集connected set开区域open region闭区域closed region有界集bounded set无界集unbounded setn维空间n-dimentional space二重极限double limit多元函数的连续性continuity of function of seveal连续函数continuous function不连续点discontinuity point一致连续uniformly continuous偏导数partial derivative对自变量x的偏导数partial derivative with respect to independent variable x高阶偏导数partial derivative of higher order二阶偏导数second order partial derivative 混合偏导数hybrid partial derivative全微分total differential偏增量oartial increment偏微分partial differential全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition叠加原理superpostition principle全导数total derivative中间变量intermediate variable隐函数存在定理theorem of the existence of implicit function曲线的切向量tangent vector of a curve法平面normal plane向量方程vector equation向量值函数vector-valued function切平面tangent plane法线normal line方向导数directional derivative梯度gradient数量场scalar field梯度场gradient field向量场vector field势场potential field引力场gravitational field引力势gravitational potential曲面在一点的切平面tangent plane to a surface at a point曲线在一点的法线normal line to a surface at a point无条件极值unconditional extreme values 条件极值conditional extreme values拉格朗日乘数法Lagrange multiplier method拉格朗日乘子Lagrange multiplier经验公式empirical formula最小二乘法method of least squares均方误差mean square error第九章重积分Chapter9 Multiple Integrals二重积分double integral可加性additivity累次积分iterated integral体积元素volume element三重积分triple integral直角坐标系中的体积元素volume element in rectangular coordinate system 柱面坐标cylindrical coordinates柱面坐标系中的体积元素volume element in cylindrical coordinate system球面坐标spherical coordinates球面坐标系中的体积元素volume element in spherical coordinate system反常二重积分improper double integral曲面的面积area of a surface质心centre of mass静矩static moment密度density形心centroid转动惯量moment of inertia参变量parametric variable第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分line integrals with respect to arc hength第一类曲线积分line integrals of the first type对坐标的曲线积分line integrals with respect to x,y,and z第二类曲线积分line integrals of the second type有向曲线弧directed arc单连通区域simple connected region复连通区域complex connected region格林公式Green formula第一类曲面积分surface integrals of the first type对面的曲面积分surface integrals with respect to area有向曲面directed surface对坐标的曲面积分surface integrals with respect to coordinate elements第二类曲面积分surface integrals of the second type有向曲面元element of directed surface高斯公式gauss formula拉普拉斯算子Laplace operator格林第一公式Green’s first formula通量flux散度divergence斯托克斯公式Stokes formula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项general term部分和partial sum余项remainder term等比级数geometric series几何级数geometric series公比common ratio调和级数harmonic series柯西收敛准则Cauchy convergence criteria, Cauchy criteria for convergence正项级数series of positive terms达朗贝尔判别法D’Alembert test柯西判别法Cauchy test交错级数alternating series绝对收敛absolutely convergent条件收敛conditionally convergent柯西乘积Cauchy product函数项级数series of functions发散点point of divergence收敛点point of convergence收敛域convergence domain和函数sum function幂级数power series幂级数的系数coeffcients of power series 阿贝尔定理Abel Theorem收敛半径radius of convergence收敛区间interval of convergence泰勒级数Taylor series麦克劳林级数Maclaurin series二项展开式binomial expansion近似计算approximate calculation舍入误差round-off error,rounding error欧拉公式Euler’s formula魏尔斯特拉丝判别法Weierstrass test三角级数trigonometric series振幅amplitude角频率angular frequency初相initial phase矩形波square wave谐波分析harmonic analysis 直流分量direct component基波fundamental wave二次谐波second harmonic三角函数系trigonometric function system 傅立叶系数Fourier coefficient傅立叶级数Forrier series周期延拓periodic prolongation正弦级数sine series余弦级数cosine series奇延拓odd prolongation偶延拓even prolongation傅立叶级数的复数形式complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程solve a dirrerential equation 常微分方程ordinary differential equation 偏微分方程partial differential equation,PDE微分方程的阶order of a differential equation微分方程的解solution of a differential equation微分方程的通解general solution of a differential equation初始条件initial condition微分方程的特解particular solution of a differential equation初值问题initial value problem微分方程的积分曲线integral curve of a differential equation可分离变量的微分方程variable separable differential equation隐式解implicit solution隐式通解inplicit general solution衰变系数decay coefficient衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation非齐次线性方程non-homogeneous linearequation常数变易法method of variation of constant暂态电流transient stata current稳态电流steady state current伯努利方程Bernoulli equation全微分方程total differential equation积分因子integrating factor高阶微分方程differential equation of higher order悬链线catenary高阶线性微分方程linera differential equation of higher order自由振动的微分方程differential equation of free vibration强迫振动的微分方程differential equation of forced oscillation串联电路的振荡方程oscillation equation of series circuit二阶线性微分方程second order linera differential equation线性相关linearly dependence线性无关linearly independce二阶常系数齐次线性微分方程second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程second order homogeneous linear differential equation with variable coefficient特征方程characteristic equation无阻尼自由振动的微分方程differential equation of free vibration with zero damping 固有频率natural frequency简谐振动simple harmonic oscillation,simple harmonic vibration微分算子differential operator待定系数法method of undetermined coefficient共振现象resonance phenomenon欧拉方程Euler equation幂级数解法power series solution数值解法numerial solution勒让德方程Legendre equation微分方程组system of differential equations常系数线性微分方程组system of linera differential equations with constant c。
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英语数学符号
+plus加号；正号
-minus减号；负号
±plus or minus正负号
×is multiplied by乘号
÷is divided by除号
＝is equal to等于号
≠is not equal to不等于号
≡is equivalent to全等于号
≌is equal to or approximately equal to等于或约等于号
≈is approximately equal to约等于号
＜is less than小于号
＞is greater than大于号
≮is not less than不小于号
≯is not more than不大于号
≤is less than or equal to小于或等于号
≥is more than or equal to大于或等于号
%per cent百分之…
‰per mill千分之…
∞infinity无限大号
∝varies as与…成比例
√(square) root平方根
∵since; because因为
∴hence所以
∷equals, as (proportion)等于，成比例∠angle角
≲semicircle半圆
≰circle圆
○circumference圆周
πpi 圆周率
△triangle三角形
≱perpendicular to垂直于
∪union of并，合集
∩intersection of 交，通集
∫the integral of …的积分
∑(sigma) summation of总和
°degree度
′minute分
″second秒
℃Celsius system摄氏度
{open brace, open curly左花括号
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(open parenthesis, open paren左圆括号
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() brakets/ parentheses括号
[open bracket 左方括号
]close bracket 右方括号
[] square brackets方括号
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|vertical bar, vertical virgule竖线
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//slash-slash, comment 双斜线，注释符
#pound井号
\backslash, sometimes escape反斜线转义符，有时表示转义符或续行符
~tilde波浪符
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!exclamation mark (英式英语) exclamation point (美式英语)
'apostrophe撇号
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‖parallel 双线号
&ersand = and
～swung dash 代字号
§section; division 分节号
→arrow 箭号；参见号。