微积分(Calculus 美: [ˈkælkjələs] 英: [ˈkælkjʊləs] )大致分为两类: 微分(Differential Calculus 美: [ˌdɪfəˈrenʃ(ə)l] 英: [.dɪfə'renʃ(ə)l]) 积分(Integral Calculus 美: [ɪnˈteɡrəl] 英: [ˈɪntɪɡrəl]) 定积分(Definite Integral 美: [ˈdefənɪt] 英: [ˈdef(ə)nət]) 不定积分(Indefinite Integral 美: [ɪnˈdef(ə)nɪt] 英: [ɪnˈdef(ə)nət]) 反常积分(Improper Integrals 美: [ɪmˈprɑpər] 英: [ɪmˈprɒpə(r)]) 参考： https://byjus.com/maths/calculus/ https://www.…

Trigonometric Identities https://www.mathsisfun.com/algebra/trigonometric-identities.html You might like to read about Trigonometry first! Right Triangle The Trigonometric Identities are equations that are true for Right Angled Triangles. (If it is not a Right Angled Triangle go to the Triangle Identities page.) Each side of a right triangle has a name: Adjacent is always next to the angle And Opposit…

Asymptotic Notation 美: [æsɪmp'tɒtɪk] 英: [æsɪmp'tɒtɪk] https://mathworld.wolfram.com/AsymptoticNotation.html Let  be an integer variable which tends to infinity and let  be a continuous variable tending to some limit. Also, let  or  be a positive function and  or  any function. Then Hardy and Wright (1979) define 1.  to mean that  for some constant  and all values of  and , We say that “f is at most the order of…

Factorial https://mathworld.wolfram.com/Factorial.html The factorial  is defined for a positive integer  as (1) So, for example, .  Permutation https://mathworld.wolfram.com/Permutation.html A permutation, also called an "arrangement number" or "order," is a rearrangement of the elements of an ordered list  into a one-to-one correspondence with  itself. The number of ways of obtaining an ordered su…

极限的运算法则 Arithmetic of Limits https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/12%3A_Introduction_to_Calculus/12.02%3A_Finding_Limits_-_Properties_of_Limits 基本求导法则与导数公式 高等数学 第7版 上册 同济大学 P92-93 基本初等函数的微分公式与微分运算法则 高等数学 第7版 上册 同济大学 P113-115 基本积分表 高等数学 第7版 上册 同济大学 P188-205   高等数学上册公式 https://mp.weixin.qq.com/s/UPvhH6VC41ZXs5fgERK4AQ 高等数学下册公式 https://mp.wei…

f(x)=shx sinh英 /ʃaɪn/ 美 /ʃaɪn/sinh abbr. 双曲正弦（hyperbolic sine） f(x)=chx coth英 /kɒθ/ 美 /kɒθ/coth abbr. 双曲余切（hyperbolic cotangent） f(x)=thx tanh英 /tænʃ/ 美 /tænʃ/tanh abbr. 双曲正切（hyperbolic tangent）  …

(x prime, ′ prime, ″ double prime, ''' triple prime) 往往表示符合上文条件除了x的另一个值 (x bar) 往往表示一批数据的均值 (x hat) 往往表示对于某一个值的估计/预测 (x tilde) 往往表示在x周围加了一个小扰动后的另一个值 下文来源：https://mathworld.wolfram.com/ Prime A symbol used to distinguish one quantity  (" prime") from another related . Prime marks are most commonly used to denote 1. Transformed coordinates, 2. Conjugate points, 3. derivatives, 4. The complement  of a set , 5. A…

Math Unicode Entities https://sites.psu.edu/symbolcodes/accents/math/mathchart/ Page Content Common Arithmetic & Algebra Superscript and Subcript Statistics Fractions Measurement Symbols Calculus Letter Symbols Logic and Set Notation Geometric Symbols Equivalence & Proportion Other Mathematical Symbols About the Codes External Links Information on this page was taken from these sources and may inc…

Mathematical Formulas and Tables https://www.rapidtables.com/math/index.html Numbers Multiplication table Addition table Exponents rules Numeral systems Percentage (%) Per-mille (‰) Parts-per million (ppm) Zero number (0) Prime number e constant Fibonacci numbers Algebra Factorial LogarithmLogarithm rules,Logarithm table Natural Logarithm Quadratic equation Trigonometry Arccos Arcsin Arctan Probabili…

https://www.mathsisfun.com/sets/number-types.html There are sets of numbers that are used so often they have special names and symbols: Symbol Description Natural Numbers The whole numbers from 1 upwards. (Or from 0 upwards in some fields of mathematics). Read More -> The set is {1,2,3,...} or {0,1,2,3,...} Integers The whole numbers {1,2,3,...}, negative whole numbers {..., -3,-2,-1} and zero {0}. So the set is {..…