1、(0,2) 插值|(0,2) interpolation0#|zero-sharp; 读作零井或零开。0+|zero-dagger; 读作零正。1-因子|1-factor3-流形|3-manifold; 又称“ 三维流形 ”。AIC 准则|AIC criterion, Akaike information criterionAp 权|Ap-weightA 稳定性|A-stability, absolute stabilityA 最优设计|A-optimal designBCH 码|BCH code, Bose-Chaudhuri-Hocquenghem codeBIC 准则|BIC crite
2、rion, Bayesian modification of the AICBMOA 函数|analytic function of bounded mean oscillation; 全称“有界平均振动解析函数”。BMO 鞅|BMO martingaleBSD 猜想 |Birch and Swinnerton-Dyer conjecture; 全称“ 伯奇与斯温纳顿戴尔猜想”。B 样条|B-splineC*代数|C*-algebra; 读作“C 星代数”。C0 类函数|function of class C0; 又称“连续函数类”。CAT 准则|CAT criterion, criterio
3、n for autoregressiveCM 域|CM fieldCN 群|CN-groupCW 复形的同调|homology of CW complexCW 复形|CW complexCW 复形的同伦群|homotopy group of CW complexesCW 剖分|CW decompositionCn 类函数|function of class Cn; 又称“n 次连续可微函数类” 。Cp 统计量|Cp-statisticC。类半群|semi-group of class C 。C类函数|function of class C; 又称“无穷次连续可微函数类 ”。C 类函数|func
4、tion of class C; 又称“ 实解析类函数类”。DF 空间|(DF)-space; 一种可数的拟桶型空间。D 最优设计|D-optimal designE 最优设计|E-optimal designF 分布|F-distribution, Fisher distributionF 检验|F-testFPE 准则 |FPE criterion, final prediction error criterionF 集|F setG 等价态射|G-equivalent morphismG 集 |G setG 结构|G-structureG 最优设计|G-optimal designH空间
5、|H-spaceHom 函子|Hom functorHp 空间|Hp-space; 又称“哈代空间”。Hp 鞅|Hp-martingaleH 空间|H-spaceI 进拓扑|I-adic topologyK 拟共形映射|K-quasi-conformal mappingKAM 理论|Kolmogorov-Arnold-Moser theoryKC 方程|Kolmogorov-Chapman equation; 全称“科尔莫戈罗夫查普曼方程”。KdV 方程|KdV equation, Korteweg-de Vries equationL p 空间|L p-spaceL 估计|L-estimat
6、orLF 空间|(LF)-space; 弗雷歇空间序列的严格归纳极限。LR 方法|LR methodLS 临界点|LS critical pointLS 临界值|LS critical valueM 估计|M-estimatorNP 问题|NP problemPI 代数|algebra with polynomial identities, PI-algebraPRD 格式 |Peaceman-Rachford-Douglas scheme; 全称“皮斯曼拉什福德道格拉斯格式 ”。P 函数|P-functionP 基|P-basisQ 过程|Q-processQ 矩阵|Q-matrixQR 方
7、法|QR methodQR 分解|QR decompositionR 估计|R-estimatorR 模范畴|category of R-modulesR-S 码|Reed-Solomon codeRSA 体制 |RSA system, Rivest-Shamir-Adelman systemSL 问题|Sturm-Liouville boundary problem; 全称“ 施图姆-刘维尔边值问题”。S 概形|S-schemeS 态射|S-morphismT0 空间|T0 spaceT1 空间|T1 spaceT2 空间|T2 spaceT2 拓扑空间的基本群|fundamental gr
8、oup of T2 topological spaceT2 拓扑群|T2 -topological group; 又称“ 豪斯多夫拓扑群(Hausdorff topological group)”。T2 拓扑群的完全化|completion of T2 -topological groupU 估计|U-estimator巴拿赫*代数的*表示|*-representation of Banach *-algebra 巴拿赫代数的表示|representation of Banach algebra成对分布方法|pairs distribution method乘幂法|power method代码
9、|code顶点独立数|vertex independent number顶点覆盖|vertex cover顶点覆盖数|vertex cover number顶点连通度|vertex connectivity非线性 弗雷德霍姆算子|non-linear Fredholm operator非线性 紧算子|non-linear compact operator非线性 全连续算子|non-linear completely continuous operator赋范环元的 谱|spectrum of element in normed ring高斯-赛德尔迭代法|Gauss-Seidel iterat
10、ion固定步长|fixed step size轨迹|trail积分变换的 核|kernel of integral transform集半环|semi-ring of sets交换巴拿赫代数的根|radical of commutative Banach algebra 可变步长|variable step size零元的 基本邻域系|fundamental system of neighborhoods of zero element施瓦兹 广义函数|Schwartz generalized function, distribution数学期望|mathematical expectatio
11、n顺序极限|order limit顺序收敛性|order convergence统计决策函数|statistical decision function无穷小 生成元|infinitesimal generator样本轨道|path, trajectory有限差分|difference, finite difference正方形网格|square net, square mesh自适应积分|self-adaptive integration自适应系统|adaptive systemd 群|d-groupd 重嵌入|d-uple imbeddingk 分图|k-nary graphk 重混合条件
12、|k-fold mixing conditionl p 空间|l p-spacel 进表示|l-adic representationl 进上同调|l-adic cohomologyn 步决策|n-stage decisionn 次空间曲线|space curve of order nn 连通的|n-connectedn 人常和对策|n-person constant-sum gamen 人对策|n-person gamen 人合作对策|n-person cooperative gamen 人零和对策|n-person zero-sum gamen 人一般和对策|n-person genera
13、l sum gamen 次微分形 式|n-form; 简称“n 形式” 。n 单空间|n-simple spacen 立方图|n-cuben 元运算|n-ary operationn 元组|n-tuplep 初等群|p-elementary groupp 共轭元|p-conjugate elementp 进表示|p-adic representationp 进李群|p-adic Lie groupp 块|p-blockp 群|p-groupp 正则元|p-regular elementp 进 L 函数|p-adic L-functionp 进绝对值|p-adic absolute valuep
14、 进模形式|p-adic modular formp 进数|p-adic numberp 进数域|p-adic number fieldp 进形式群|p-adic formal groupp 进整数|p-adic integerq 展开式|q-expansion formular 重传递群|r-fold transitive groupr 阶平均收敛|convergence in mean of order rs 弧传递图|s-arc transitive grapht 分布|t-distribution, student distributiont 检验|t-testu 检验|u-test“
15、0.618”法|“0.618” method; 又称“近似黄金分割法(approximate golden section method)”。表达式|expression代数簇|algebraic variety单形的面|face of simplex单形的真面|proper face of a simplex分支点|branching point, ramification point集合指示函数|indicator of a set曲面积分|surface integral十进小数|decimal双边理想|two-sided ideal循环排列|circular permutation亚纯
16、函数的特征函数|characteristic function of meromorphic function增长级|growth order整函数的亏格|genus of entire function整函数的型|type of entire function坐标卡|chart 分布|-distribution, gamma-distribution 函数|gamma-function; 又称 “第二类欧拉积分 (Euler integral of the second kind)”。 稳定性|-stability, omega-stability 递归性|-recursion, alpha
17、-recursion 极限点|-limit point, alpha-limit point; 又称“负向极限点 ”。 极限集合|-limit set, alpha-limit set 容量|-capacity, alpha-capacity; 关于通信信道的一种基于 熵的容量。 上调和函数|-superharmonic function, alpha-superharmonic function 修削平均|-trimmed mean, alpha-trimmed mean 有限|-finite, alpha-finite 分布|-distribution, beta-distribution
18、 函数|-function, beta-function; 又称“第一类欧拉积分 (Euler integral of the first kind)”。-诺伊曼问题|-Neumann problem, delta-Neumann problem 测度|-measure, delta-measure 散射方法 |-scattering method, delta-scattering method 算法|-algorithm, epsilon-algorithm 最优策略|-optimal policy, epsilon-optimal policy 熵|-entropy, epsilon-e
19、ntropy 分布|-distribution, zeta-distribution 算法 |-algorithm, eta-algorithm 函数|-function, theta-function 可定义函数|-definable function, lambda-definable function 系|-system, lambda-system 演算|-calculus, lambda-calculus 引理|-lemma, lambda-lemma 几乎处处 |-almost everywhere, mu-almost everywhere 算子|-operator, mu-op
20、erator 映射|-mapping, mu-mapping 可解群|-solvable group, pi-solvable group 系|-system, pi-system 函数|-function, sigma-function 环|-ring, sigma-ring 局部有限族|-locally finite family, sigma-locally finite family 离散族|-discrete family, sigma-discrete family 完备|-complete, sigma-complete 有限测度空间|-finite measure space
21、域|-field, sigma-field; 又称“ 代数(-algebra)”。 域流|filtration; 随指标增加而增大的子 域族。 前 域 |-field prior to , sigma-field prior to 下降法|-descent, phi-descent2 分布|chi-square distribution2 检验|chi-square test 极限点|-limit point, omega-limit point; 又称“ 正向极限点”。 极限集合|-limit set, omega-limit set 相容性|-consistency, omega-cons
22、istency; 曾用名“ 协调性 ”， “ 和谐”。阿贝尔变换|Abel transformation阿贝尔遍历定理|Abel ergodic theorem阿贝尔簇|Abelian variety阿贝尔簇的 p 秩|p-rank of Abelian variety阿贝尔簇的极化|polarization of an Abelian variety阿贝尔范畴|Abelian category阿贝尔概形|Abelian scheme阿贝尔函数|Abelian function阿贝尔函数域|Abelian function field阿贝尔化函子|abelianizing functor阿贝尔
23、积分|Abelian integral阿贝尔积分方程|Abel integral equation阿贝尔晶体|Abelian crystal阿贝尔扩张|Abelian extension阿贝尔李代数|Abelian Lie algebra阿贝尔求和法|Abel summation method阿贝尔群|Abelian group; 又称“交换群 (commutative group)”。阿贝尔群层|sheaf of Abelian groups阿贝尔群范畴|category of Abelian groups阿贝尔微分|Abelian differential阿贝尔问题|Abel proble
24、m阿达马导数|Hadamard derivative阿达马法|Hadamard method阿达马矩阵|Hadamard matrix阿达马设计|Hadamard block design阿代尔|adle阿代尔环|adle ring阿代尔群|adle group阿尔巴内塞簇|Albanese variety阿基米德公理|Archimedean axiom阿基米德绝对值|Archimedean absolute value阿基米德序域|Archimedean ordered field阿诺索夫微分同胚|Anosov diffeomorphism阿诺索夫向量场|Anosov vector fiel
25、d阿佩尔二变量超几何函数|Appell hypergeometric function of two variables阿廷 L 函数|Artin L-function阿廷根数|Artin root number阿廷环|Artinian ring阿廷模|Artinian module阿廷映射|Artin map埃尔朗分布|Erlang distribution埃尔米特-高斯求积|Hermite-Gauss quadrature埃尔米特变换|Hermitian transformation埃尔米特插值|Hermite interpolation埃尔米特多项式|Hermite polynomial
26、埃尔米特二次型|Hermitian quadratic form埃尔米特泛函|Hermitian functional埃尔米特矩阵|Hermitian matrix埃尔米特求积|Hermite quadrature埃尔米特微分方程|Hermite differential equation埃尔米特型核|Hermitian kernel埃拉托色尼筛法|sieve of Eratosthenes艾达尔|etale艾达尔覆叠|etale covering艾达尔上同调|etale cohomology艾达尔态射|etale morphism艾里微分方程|Airy differential equati
27、on艾森斯坦多项式|Eisenstein polynomial艾森斯坦级数|Eisenstein series艾特肯2 法|Aitken 2 method, Aitken 2 process艾特肯插值算法|Aitken interpolation algorithm爱因斯坦方程|Einstein equation鞍点|saddle point; 常微分方程组的一种孤立奇点。鞍点定理|saddle point theorem鞍点对策|saddle point game鞍函数|saddle-function鞍函数的凹闭包|concave closure of saddle function鞍函数的
28、凸闭包|convex closure of saddle function鞍形分界线环|saddle separatrix鞍形连接|saddle connection按对平衡区组设计|pairwise balanced block design按年龄更换策略|age replacement policy凹性|concavity凹多边形|concave polygon凹多面体|concave polyhedron凹规划|concave programming凹函数|concave function凹算子|concave operator; 指在具正锥的巴拿赫空间中。凹凸二元函数|concave-
29、convex function凹凸函数的上闭包|superclosure of concave-convex function凹凸函数的下闭包|lower closure of concave-convex function奥-高公式|Ostrovski-Gauss formula奥恩斯坦-乌伦贝克过程|Ornstein-Uhlenbeck process奥恩斯坦-乌伦贝克算子|Ornstein-Uhlenbeck operator奥恩斯坦-乌伦贝克算子半群 |Ornstein-Uhlenbeck semi-group of operators奥尔利奇空间|Orlicz space奥斯古德唯一
30、性条件|Osgood uniqueness condition八边形|octagon八面体|octahedron巴恩斯广义超几何函数|Barnes extended hypergeometric function巴哈杜尔渐近效率|Bahadur asymptotic efficiency巴哈杜尔效率|Bahadur efficiency巴拿赫*代数|Banach*- algebra; 读作“巴拿赫星代数”。巴拿赫代数|Banach algebra巴拿赫格|Banach lattice巴拿赫空间|Banach space巴拿赫流形|Banach manifold巴索蒂-泰特群|Barsotti-
31、Tate group巴塔恰里亚下界|Bhattacharyya lower bound白尔根|Baer radical白噪声|white noise百分法|percentage百分率|percent百分误差|percentage error摆线|cycloid班|class伴随表示|adjoint representation伴随函子|adjoint functors伴随核|adjoint kernel伴随矩阵|adjoint matrix伴随李代数|adjoint Lie algebra伴随蒙特卡罗方法|adjoint Monte Carlo method伴随权重方法|adjoint wei
32、ght method伴随算子|adjoint operator伴随统计估计方法|adjoint statistical estimation method伴随微分方程|adjoint differential equation伴随微分算子|adjoint differential operator伴随线性映射|adjoint linear map伴随行列式|adjoint determinant伴随指数变换方法|adjoint exponential transformation method瓣|section半本原环|semi-primitive ring半不变量|semi-invarian
33、t, cumulant; 特征函数对数的幂级数展开式中的系数。半参数模型|semi-parameter model半单赋范 环|semi-simple normed ring半单纯复形|semi-simplicial complex半单纯映射|semi-simplicial mapping半单簇|semi-simple variety半单代数|semi-simple algebra半单代数群|semi-simple algebraic group半单泛代数|semi-simple universal algebra半单环|semi-simple ring半单李代数|semi-simple Li
34、e algebra半单李代数的根系|root system of a semi-simple Lie algebra半单李代数的上同调|cohomology of semi-simple Lie algebras半单李群|semi-simple Lie group半单模|semi-simple module半单若尔当代数|semi-simple Jordan algebra半单线性变换|semi-simple linear transformation半单元|semi-simple element半单秩|semi-simple rank半迭代法|semi-iterative method半定矩
35、阵|semi-definite matrix半范数|semi-norm半弗雷德霍姆算子|semi-Fredholm operator半格|semi-lattice半角公式|half angle formula半解析蒙特卡罗方法|semi-analytic Monte Carlo method半径|radius半局部单连通的|semi-locally simply connected半局部环|semi-local ring半离散法|semi-discrete method半连续的|semi-continuous半连续性|semi-continuity半流|semi-flow半模格|semi-mo
36、dular lattice半内积|semi-inner product; 又称“半标量积 (semi-scalar product)”。半平面|half plane半球面|semi-sphere半群|semi-group半群环|semi-group ring半群扰动|perturbation of semi-group半双线性泛函|semi-bilinear functional, sesquilinear functional半双线性型|semi-bilinear form, sesquilinear form半双线性型的自同构|automorphism of a sesquilinear
37、form半素环|semi-prime ring半完满环|semi-perfect ring半稳定极限环|semi-stable limit-cycle半无限规划|semi-infinite programming半线性偏微分方程|semi-linear partial differential equation半线性同构|semi-linear isomorphism半线性映射|semi-linear mapping半样本|semi-sample半隐格式|semi-implicit scheme半域|semi-field半圆|semi-circle半整数权模形式|modular form of
38、 half-integer weight半正规算子|semi-normal operator半直积|semi-direct product半准素环|semi-primary ring半自反局部凸空间|semi-reflexive locally convex space半鞅|semi-martingale蚌线|conchoid胞腔|cell胞腔逼近|cellular approximation胞腔复形|cell complex胞腔空间|cellular space胞腔剖分|cell decomposition胞腔上同调群|cell cohomology group胞腔式映射|cellular
39、mapping胞腔同调群|cellular homology group胞腔同伦|cellular homotopy包含|inclusion, include包含函子|inclusion functor包核拓扑|hull kernel topology包络代数|enveloping algebra包络功效函数|envelope power function薄集|thin set保并同态|join-preserving homomorphism保测变换|measure-preserving transformation保单调差分格式|monotonicity preserving differe
40、nce scheme保管费|holding cost保护数位|guarding figure, guarding digit保积函子|product-preserving functor保密量|amount of secrecy保密体制|privacy system保密学|cryptology保面积映射|area-preserving mapping保守的|conservative保守算子|conservative operator保守微分方程|conservative differential equation保序函数|order-preserving function保序映射|order-
41、preserving mapping保锥算子|cone-preserving operator饱和类|saturation class饱和模型|saturated model报酬函数|reward function暴露点|exposed point暴露方向|exposed direction暴露面|exposed face暴露射线|exposed ray鲍尔双迭代法|Bauer bi-iteration鲍威尔法|Powell method爆炸时|explosion time背包公钥体制|knapsack public key system贝蒂数|Betti number贝尔函数|Baire f
42、unctions贝尔空间|Baire space贝尔斯空间|Bers space贝尔斯托迭代法|Bairstow iteration method贝尔特拉米方程|Beltrami equation贝克-坎贝尔- 豪斯多夫公式|Baker-Cambell-Hausdorff formula贝克隆变换|Backlund transformation贝塞尔不等式|Bessel inequality贝塞尔积分|Bessel integral贝塞尔微分方程|Bessel differential equation贝叶斯分类规则|Bayes classification rule贝叶斯风险|Bayes r
43、isk贝叶斯公式|Bayes formula贝叶斯估计|Bayes estimate贝叶斯决策函数|Bayes decision function贝叶斯区间估计|Bayes interval estimate贝叶斯统计|Bayes statistics贝叶斯序贯决策函数|Bayes sequential decision function倍角公式|double angle formula倍立方问题|duplication of a cube倍式|multiple倍数|multiple倍图|double graph备择假设|alternative hypothesis被逼近函数|approxim
44、ated function被乘数|multiplicand被除数|dividend被积函数|integrand被加数|summand被减数|minuend被开方数|radicand本元|urelement本原多项式|primitive polynomial本原环|primitive ring本原理想|primitive ideal本原幂等元|primitive idempotent element本原群|primitive group本原特征标|primitive character本原元|primitive element本征空间|eigenspace本征向量|eigenvector本征向量
45、展开式|eigenvector expansion本征值|eigenvalue本征值的指标|index of eigenvalues本征值问题|eigenvalue problem本质不振荡|essentially non-oscillatory, ENO本质单同态|essential monomorphism本质对策|essential game; 又称“ 实质性对策”。本质谱|essential spectrum本质奇点|essential singular point本质上确界|essential supremum, ess.sup本质完全类|essentially complete c
46、lass本质严格凸|essentially strictly convex本质有界的|essentially bounded本质自伴算子|essentially self-adjoint operator崩溃点|break down point逼近|approximation逼近函数|approximating function逼近阶|degree of approximation逼近论|approximation theory逼近式|approximant逼近误差|approximation error逼近正则映射|approximating proper mapping比|ratio比安基
47、恒等式|Bianchi identities比伯巴赫猜想|Bieberbach conjecture比察捷-拉夫连季耶夫方程|Bitsadze-Lavrentiev equation比估计|ratio estimate比较定理|comparison theorem比例-积分- 微分控制|proportional-integral-derivative control; 简称“PID 控制 (PID control)”。比例|proportion比例常数|constant of proportionality比例控制|proportional control比例内项|internal terms of proportion比例外项|extreme terms of proportion比例中项|mean term of proportion比率遍历定理|ratio-ergodic theorem比姆
