代数英语1.doc

(0,2) 插值||(0,2) interpolation
0#||zero-sharp; 读作零井或零开。
0+||zero-dagger; 读作零正。
1-因子||1-factor
3-流形||3-manifold; 又称“三维流形”。
AIC准则||AIC criterion, Akaike information criterion
Ap 权||Ap-weight
A稳定性||A-stability, absolute stability
A最优设计||A-optimal design
BCH 码||BCH code, Bose-Chaudhuri-Hocquenghem code
BIC准则||BIC criterion, Bayesian modification of the AIC
BMOA函数||analytic function of bounded mean oscillation; 全称“有界平均振动解析函数”。
BMO鞅||BMO martingale
BSD猜想||Birch and Swinnerton-Dyer conjecture; 全称“伯奇与斯温纳顿－戴尔猜想”。
B样条||B-spline
C*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, criterion for autoregressive
CM域||CM field
CN 群||CN-group
CW 复形的同调||homology of CW complex
CW复形||CW complex
CW复形的同伦群||homotopy group of CW complexes
CW剖分||CW decomposition
Cn 类函数||function of class Cn; 又称“n次连续可微函数类”。
Cp统计量||Cp-statistic
C。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”。
Cω 类函数||function of class Cω; 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 design
E最优设计||E-optimal design
F 分布||F-distribution, Fisher distribution
F 检验||F-test
FPE准则||FPE criterion, final prediction error criterion
Fσ集||Fσ  set
G 等价态射||G-equivalent morphism
Gδ集||Gδ set
G结构||G-structure
G最优设计||G-optimal design
H'空间||H'-space
Hom函子||Hom functor
Hp 空间||Hp-space; 又称“哈代空间”。
Hp鞅||Hp-martingale
H空间||H-space
I进拓扑||I-adic topology
K 拟共形映射||K-quasi-conformal mapping
KAM理论||Kolmogorov-Arnold-Moser  theory
KC 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 equation
L p 空间||L p-space
L 估计||L-estimator
LF 空间||(LF)-space; 弗雷歇空间序列的严格归纳极限。
LR 方法||LR method
LS临界点||LS critical point
LS临界值||LS critical value
M 估计||M-estimator
NP 问题||NP problem
PI代数||algebra with polynomial identities, PI-algebra
PRD 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-function
P基||P-basis
Q 过程||Q-process
Q 矩阵||Q-matrix
QR 方法||QR method
QR 分解||QR decomposition
R 估计||R-estimator
R 模范畴||category of R-modules
R-S 码||Reed-Solomon code
RSA体制||RSA system, Rivest-Shamir-Adelman system
SL问题||Sturm-Liouville boundary problem; 全称“施图姆-刘维尔边值问题”。
S概形||S-scheme
S态射||S-morphism
T0空间||T0 space
T1 空间||T1 space
T2 空间||T2 space
T2 拓扑空间的基本群||fundamental group of T2  topological space
T2 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 group
U 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||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 iteration
[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] expectation
[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 system
d 群||d-group
d重嵌入||d-uple imbedding
k分图||k-nary graph
k重混合条件||k-fold mixing condition
l p 空间||l p-space
l 进表示||l-adic representation
l进上同调||l-adic cohomology
n 步决策||n-stage decision
n 次空间曲线||space curve of order n
n 连通[的]||n-connected
n 人常和对策||n-person constant-sum game
n 人对策||n-person game
n 人合作对策||n-person cooperative game
n 人零和对策||n-person zero-sum game
n 人一般和对策||n-person general sum game
n次微分[形]式||n-form; 简称“n形式”。
n单空间||n-simple space
n立方图||n-cube
n元运算||n-ary operation
n元组||n-tuple
p 初等群||p-elementary group
p 共轭元||p-conjugate element
p 进表示||p-adic representation
p 进李群||p-adic Lie group
p 块||p-block
p 群||p-group
p 正则元||p-regular element
p进 L 函数||p-adic L-function
p进绝对值||p-adic absolute value
p进模形式||p-adic modular form
p进数||p-adic number
p进数域||p-adic number field
p进形式群||p-adic formal group
p进整数||p-adic integer
q展开式||q-expansion formula
r 重传递群||r-fold transitive group
r阶平均收敛||convergence in mean of order r
s弧传递图||s-arc transitive graph
t 分布||t-distribution, student distribution
t 检验||t-test
u 检验||u-test
“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
Γ分布||Γ-distribution, gamma-distribution
Γ函数||gamma-function; 又称“第二类欧拉积分 (Euler integral of the second kind)”。
Ω稳定性||Ω-stability, omega-stability
α递归性||α-recursion, alpha-recursion
α极限点||α-limit point, alpha-limit point; 又称“负向极限点”。
α极限集合||α-limit set, alpha-limit set
α容量||α-capacity, alpha-capacity; 关于通信信道的一种基于α熵的容量。
α上调和函数||α-superharmonic function, alpha-superharmonic function
α修削平均||α-trimmed mean, alpha-trimmed mean
α有限||α-finite, alpha-finite
β分布||β-distribution, beta-distribution
β函数||β-function, beta-function; 又称“第一类欧拉积分 (Euler integral of the first kind)”。
δ-诺伊曼问题||δ-Neumann problem, delta-Neumann problem
δ测度||δ-measure, delta-measure
δ散射方法||δ-scattering method, delta-scattering method
ε算法||ε-algorithm, epsilon-algorithm
ε最优策略||ε-optimal policy, epsilon-optimal policy
ε熵||ε-entropy, epsilon-entropy
ζ分布||ζ-distribution, zeta-distribution
η算法||η-algorithm, eta-algorithm
θ函数||θ-function, theta-function
λ可定义函数||λ-definable function, lambda-definable function
λ系||λ-system, lambda-system
λ演算||λ-calculus, lambda-calculus
λ引理||λ-lemma, lambda-lemma
μ几乎处处||μ-almost everywhere, mu-almost everywhere
μ算子||μ-operator, mu-operator
μ映射||μ-mapping, mu-mapping
π可解群||π-solvable group, pi-solvable group
π系||π-system, pi-system
σ函数||σ-function, sigma-function
σ环||σ-ring, sigma-ring
σ局部有限族||σ-locally finite family, sigma-locally finite family
σ离散族||σ-discrete family, sigma-discrete family
σ完备||σ-complete, sigma-complete
σ有限测度空间||σ-finite measure space
σ域||σ-field, sigma-field; 又称“σ代数(σ-algebra)”。
σ域流||filtration; 随指标增加而增大的子σ域族。
τ前σ域||σ-field prior to τ, sigma-field prior to τ
φ下降法||φ-descent, phi-descent
χ2 分布||chi-square distribution
χ2 检验||chi-square test
ω极限点||ω-limit point, omega-limit point; 又称“正向极限点”。
ω极限集合||ω-limit set, omega-limit set
ω相容性||ω-consistency, omega-consistency; 曾用名“ω协调性”，“ω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 problem
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||adéle
阿代尔环||adéle ring
阿代尔群||adéle 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 field
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
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 equation
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-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-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 weight 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-invariant, 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 Lie 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-modular 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 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 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 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 difference 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-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 functions
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 risk
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||approximated 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 spect