交换 交換 jiāo huàn to exchange / to swap / to switch (telecom) / commutative (math) / to commute syn 交换律 交換律 jiāo huàn lǜ commutative law xy = yx (math) 代数学 代數學 dài shù xué algebra (as branch of math.) 李代数 李代數 lǐ dài shù Lie algebra (math.) 差商 chā shāng (math.) difference quotient / (math.) divided difference / (math.) finite difference 代数 代數 dài shù algebra 线性代数 線性代數 xiàn xìng dài shù linear algebra 抽象代数 抽象代數 chōu xiàng dài shù abstract algebra 初等代数 初等代數 chū děng dài shù elementary algebra 高等代数 高等代數 gāo děng dài shù higher algebra 代数基本定理 代數基本定理 dài shù jī běn dìng lǐ fundamental theorem of algebra 代数学基本定理 代數學基本定理 dài shù xué jī běn dìng lǐ fundamental theorem of algebra (every polynomial has a complex root) 向量代数 向量代數 xiàng liàng dài shù vector algebra 布尔代数 布爾代數 bù ěr dài shù Boolean algebra 整环 整環 zhěng huán integral domain (abstract algebra) 泛代数 泛代數 fàn dài shù universal algebra 乔治·布尔 喬治·布爾 qiáo zhì · bù ěr George Boole (1815-1864), English mathematician, philosopher and logician, author of The Laws of Thought and inventor of Boolean algebra 整域 zhěng yù integral domain (abstract algebra) 次数 次數 cì shù number of times / frequency / order number (in a series) / power (math.) / degree of a polynomial (math.) 参量 參量 cān liàng parameter (math) / quantity used as a parameter / modulus (math.) 偏微分 piān wēi fēn (math.) partial differential / (math.) partial derivative 一次 yī cì first / first time / once / (math.) linear (of degree one) 空间 空間 kōng jiān space / room / (fig.) scope / leeway / (astronomy) outer space / (physics, math.) space syn 数量 數量 shù liàng amount / quantity (CL:個|个[ge4]) / quantitative / (math.) scalar quantity syn 组合 組合 zǔ hé to assemble / to combine / to compose / combination / association / set / compilation / (math.) combinatorial syn 指数 指數 zhǐ shù (numerical, statistical) index / (math.) exponent / index / exponential (function, growth) 内心 內心 nèi xīn heart / innermost being / (math.) incenter syn 元素 yuán sù element (key component of sth) / (chemistry) element / (math.) element (member of a set) syn 联络 聯絡 lián luò to get in touch with / to contact / to stay in contact (with) / liaison / (math.) connection syn 函数 函數 hán shù function (math.) syn 传递 傳遞 chuán dì to transmit / to pass on to sb else / (math.) transitive syn 不变 不變 bù biàn constant / unvarying / (math.) invariant syn 分子 fēn zǐ molecule / (math) numerator of a fraction syn 解析 jiě xī to analyze / to resolve / (math.) analysis / analytic syn 多元 duō yuán poly- / multi- / multielement / multivariant / multivariate (math.) syn 高等 gāo děng high-level / higher (animals, education etc) / advanced (math etc) syn 集合 jí hé to gather / to assemble / (math.) set syn 三次 sān cì third / three times / (math.) degree three, cubic (equation) 排列 pái liè to arrange in order / (math.) permutation syn 二次 èr cì second (i.e. number two) / second time / twice / (math.) quadratic (of degree two) 变量 變量 biàn liàng variable (math.) 配方 pèi fāng prescription / cooking recipe / formulation / completing the square (to solve quadratic equation, math.) syn 详解 詳解 xiáng jiě to explain in detail / detailed answer / full solution (to a math problem) 命题 命題 mìng tí proposition (logic, math.) / to assign an essay topic 区间 區間 qū jiān delimited area / defined section of a train or bus route / numerical range / (math.) interval syn 概率 gài lǜ probability (math.) syn 因子 yīn zǐ factor / (genetic) trait / (math.) factor / divisor syn 猜想 cāi xiǎng to guess / to conjecture / to suppose / (math.) hypothesis syn 分歧 fēn qí divergent / difference (of opinion, position) / disagreement / (math.) bifurcation syn 有理 yǒu lǐ reasonable / justified / right / (math.) rational syn 三项 三項 sān xiàng three items / three events / three terms / tri- / trinomial, ternary (math.) / triathlon (abbr. for 三項全能|三项全能) 一元 yī yuán (math.) single-variable / univariate 多变 多變 duō biàn fickle / (math.) multivariate syn 收敛 收斂 shōu liǎn to dwindle / to vanish / to make vanish / to exercise restraint / to curb (one's mirth, arrogance etc) / to astringe / (math.) to converge syn 映射 yìng shè to shine on / (math., linguistics etc) mapping syn 正值 zhèng zhí just at the time of / honest / upright / (math.) positive value syn 置换 置換 zhì huàn to permute / permutation (math.) / to displace / displacement / to replace / replacement syn 倒数 倒數 dào shù inverse number / reciprocal (math.) 机率 機率 jī lǜ (Tw) (math.) probability 表达式 表達式 biǎo dá shì expression (math.) 方程 fāng chéng (math.) equation 矩阵 矩陣 jǔ zhèn array / matrix (math.) 基数 基數 jī shù cardinal number / (math.) radix / base 置信 zhì xìn to believe (what sb claims) (usually used in the negative) / (math.) confidence (interval etc) syn 顶点 頂點 dǐng diǎn summit / peak / (math.) vertex syn 变数 變數 biàn shù variable factor / uncertainties / (math.) a variable 整数 整數 zhěng shù whole number / integer (math.) / round figure syn 矢量 shǐ liàng (math.) vector 方程式 fāng chéng shì (math.) equation 布尔 布爾 bù ěr Boole (surname) / (math.) Boolean 加权 加權 jiā quán (math.) to weight / weighting / weighted (average, index etc) 周期性 週期性 zhōu qī xìng periodic / periodicity (math) / cyclicity 二进制 二進制 èr jìn zhì binary system (math.) 表象 biǎo xiàng outward appearance / superficial / (philosophy, psychology) representation / idea / (math.) representation 交集 jiāo jí (of diverse emotions) to occur simultaneously / to intermingle / common ground / points of commonality / overlap / connection / interaction / dealings / (math.) (set theory) intersection syn 级数 級數 jí shù (math.) series 必要条件 必要條件 bì yào tiáo jiàn requirement / necessary condition (math) 截断 截斷 jié duàn to break or cut in two / to sever / to cut off / (fig.) to cut off (a conversation, a flow etc) / to interrupt / (math.) to truncate 动力学 動力學 dòng lì xué dynamics (math.) / kinetics 环形 環形 huán xíng ring-shaped / (math.) annulus 非线性 非線性 fēi xiàn xìng nonlinear (math.) 向量 xiàng liàng (math.) vector 度量 dù liàng measure / tolerance / breadth / magnanimity / (math.) metric syn 连通 連通 lián tōng to connect / to communicate / to relate / (math.) connected syn 除以 chú yǐ (math.) divided by 立方 lì fāng cube (math.) / abbr. for 立方體|立方体[li4 fang1 ti3] / abbr. for 立方米[li4 fang1 mi3] syn 常数 常數 cháng shù a constant (math.) 方阵 方陣 fāng zhèn square-shaped formation (military) / phalanx / (math.) matrix 尾数 尾數 wěi shù remainder (after rounding a number) / decimal part (of number after the decimal point) / mantissa (i.e. fractional part of common logarithm in math.) / small change / balance (of an account) syn 期望值 qī wàng zhí expectations / (math) expected value 离散 離散 lí sàn (of family members) separated from one another / scattered about / dispersed / (math.) discrete syn 乘以 chéng yǐ (math.) multiplied with syn 小波 xiǎo bō wavelet (math.) 解法 jiě fǎ solution (to a math problem) / method of solving 拐点 拐點 guǎi diǎn turning point / breaking point / inflexion point (math., a point of a curve at which the curvature changes sign) 拓扑 拓撲 tuò pū (math.) (loanword) topology 常量 cháng liàng a constant (physics, math.) syn 复数 複數 fù shù (linguistics) plural / (math.) complex number 