用戶:Isnow/數學術語英漢對照 (非專業)
數學術語英漢對照 (非專業)
[編輯]--Isnow 10:53 2005年2月2日 (UTC)
A B C D E F G
H I J K L M N
O P Q R S T
U V W X Y Z
A
[編輯]abelian group:阿貝爾群; absolute geometry:絕對幾何; absolute value:絕對值; abstract algebra:抽象代數; addition:加法; algebra:代數; algebraic closure:代數閉包; algebraic geometry:代數幾何; algebraic geometry and analytic geometry:代數幾何和解析幾何; algebraic numbers:代數數; algorithm:算法; almost all:絕大多數; analytic function:解析函數; analytic geometry:解析幾何; and:且; angle:角度; anticommutative:反交換律; antisymmetric relation:反對稱關係; antisymmetry:反對稱性; approximately equal:約等於; Archimedean field:阿基米德域; Archimedean group:阿基米德群; area:面積; arithmetic:算術; associative algebra:結合代數; associativity:結合律; axiom:公理; axiom of constructibility:可構造公理; axiom of empty set:空集公理; axiom of extensionality:外延公理; axiom of foundation:正則公理; axiom of pairing:對集公理; axiom of regularity:正則公理; axiom of replacement:代換公理; axiom of union:併集公理; axiom schema of separation:分離公理; axiom schema of specification:分離公理; axiomatic set theory:公理集合論; axiomatic system:公理系統; 格式: en::[[]]; top
B
[編輯]Baire space:貝利空間; basis:基; Bézout's identity:貝祖恆等式; Bernoulli's inequality:伯努利不等式 ; Big O notation:大O符號; bilinear operator:雙線性算子; binary operation:二元運算; binary predicate:二元謂詞; binary relation:二元關係; Boolean algebra:布爾代數; Boolean logic:布爾邏輯; Boolean ring:布爾環; boundary:邊界; boundary point:邊界點; bounded lattice:有界格; Brun's constant:布朗常數; 格式: en::[[]]; top
C
[編輯]calculus:微積分學; Cantor's diagonal argument:康托爾對角線方法; cardinal number:基數; cardinality:勢; cardinality of the continuum:連續統的勢; Cartesian coordinate system:直角坐標系; Cartesian product:笛卡爾積; category:範疇; Cauchy sequence:柯西序列; Cauchy-Schwarz inequality:柯西不等式; centered octagonal number:中心八邊形數; centered square number:中心正方形數; Ceva's Theorem:塞瓦定理; characteristic:特徵; characteristic polynomial:特徵多項式; circle:圓; class:類; closed:閉集; closure:封閉性 或 閉包; closure algebra:閉包代數; combinatorial identities:組合恆等式; commutative group:交換群; commutative ring:交換環; commutativity::交換律; compact:緊緻的; compact set:緊緻集合; compact space:緊緻空間; complement:補集 或 補運算; complete lattice:完備格; complete metric space:完備的度量空間; complete space:完備空間; complex manifold:複流形; complex plane:複平面; congruence:同餘; congruent:全等; connected space:連通空間; constructible universe:可構造全集; constructions of the real numbers:實數的構造; continued fraction:連分數; continuous:連續; continuum hypothesis:連續統假設; contractible space:可縮空間; convergence:收斂; convergence space:收斂空間; cosine:餘弦; countable:可數; countable set:可數集; cross product:叉積; cycle space:圈空間; cyclic group:循環群; 格式: en::[[]]; top
D
[編輯]de Morgan's laws:德·摩根律; Dedekind completion:戴德金完備性; Dedekind cut:戴德金分割; del:微分算子; dense:稠密; densely ordered:稠密排列; derivative:導數; determinant:行列式; diffeomorphism:可微同構; difference:差; difference of two squares:平方差公式; differentiable manifold:可微流形; differential calculus:微分學; dimension:維數; dimensionless quantity:無量綱數; directed graph:有向圖; discrete space:離散空間; discriminant:判別式; distance:距離; distributivity:分配律; divergence:發散; dividend:被除數; dividing:除; divisibility:整除; division:除法; divisor:除數 或 因數; dot product:點積; 格式: en::[[]]; top
E
[編輯]eigenvalue:特徵值; eigenvector:特徵向量; element:元素; elementary algebra:初等代數; empty function:空函數; empty set:空集; empty product:空積; equal:等於; equality:等式 或 等於; equation:方程; equivalence relation:等價關係; Euclidean geometry:歐幾里德幾何; Euclidean metric:歐幾里德度量; Euclidean space:歐幾里德空間; Euler's identity:歐拉恆等式; even number:偶數; event:事件; existential quantifier:存在量詞; exponential function:指數函數; exponential identities:指數恆等式; expression:表達式; extended real number line:擴展的實數軸; 格式: en::[[]]; top
F
[編輯]false:假; field:域; finite:有限; finite field:有限域; finite set:有限集合; first-countable space:第一可數空間; first order logic:一階邏輯; foundations of mathematics:數學基礎; function:函數; functional analysis:泛函分析; functional predicate:函數謂詞; fundamental theorem of algebra:代數基本定理; fraction:分數; 格式: en::[[]]; top
G
[編輯]gauge space:規格空間; general linear group:一般線性群; geometry:幾何學; gradient:梯度; graph:圖; graph of a relation:關係圖; graph theory:圖論; greatest element:最大元; group:群; group homomorphism:群同態; 格式: en::[[]]; top
H
[編輯]Hardy-Littlewood conjecture:哈代-李特爾伍德猜想; Hausdorff space:豪斯多夫空間; hereditarily finite set:遺傳有限集合; Heron's formula:海倫公式; Hilbert space:希爾伯特空間; Hilbert's axioms:希爾伯特公理系統; Hodge decomposition:霍奇分解; Hodge Laplacian:霍奇拉普拉斯算子; homeomorphism:同胚; horizontal:水平; hyperbolic function identities:雙曲線函數恆等式; hypergeometric function identities:超幾何函數恆等式; hyperreal number:超實數; 格式: en::[[]]; top
I
[編輯]identical:同一的; identity:恆等式; identity element:單位元; identity matrix:單位矩陣; idempotent:冪等; if:若; if and only if:若且唯若; iff:若且唯若; imaginary number:虛數; inclusion:包含; index set:索引集合; indiscrete space:非離散空間; inequality:不等式 或 不等; inequality of arithmetic and geometric means:平均數不等式; infimum:下確界; infinite series:無窮級數; infinite:無窮大; infinitesimal:無窮小; infinity:無窮大; initial object:初始對象; inner angle:內角; inner product:內積; inner product space:內積空間; integer:整數; integer sequence:整數列; integral:積分; integral domain:整數環; interior:內部; interior algebra:內部代數; interior point:內點; intersection:交集; inverse element:逆元; invertible matrix:可逆矩陣; interval:區間; involution:迴旋; irrational number:無理數; isolated point:孤點; isomorphism:同構; 格式: en::[[]]; top
J
[編輯]Jacobi identity:雅可比恆等式; join:並運算; 格式::[[]]; top
K
[編輯]格式: Kuratowski closure axioms:Kuratowski 閉包公理; en::[[]]; top
L
[編輯]Lagrange's four-square theorem:四平方和定理; least element:最小元; Lebesgue measure:勒貝格測度; Leibniz's law:萊布尼茨律; Lie algebra:李代數; Lie group:李群; limit:極限; limit point:極限點; line:線; line segment:線段; linear:線性; linear algebra:線性代數; linear operator:線性算子; linear space:線性空間; linear transformation:線性變換; linearity:線性性; list of inequalities:不等式列表; list of linear algebra topics:線性代數相關條目; locally compact space:局部緊緻空間; logarithmic identities:對數恆等式; logic:邏輯學; logical positivism:邏輯實證主義; law of cosines:餘弦定理; Löwenheim-Skolem theorem:Löwenheim-Skolem 定理; lower limit topology:下限拓撲; 格式: en::[[]]; top
M
[編輯]magnitude:量; manifold:流形; map:映射; mathematical symbols:數學符號; mathematical analysis:數學分析; mathematical proof:數學證明; mathematics:數學; matrix:矩陣; matrix multiplication:矩陣乘法; meaning:語義; measure:測度; meet:交運算; member:元素; metamathematics:元數學; metric:度量; metric space:度量空間; model:模型; model theory:模型論; modular arithmetic:模運算; module:模; monotonic function:單調函數; multilinear algebra:多重線性代數; multiplication:乘法; multiset:多樣集; 格式: en::[[]]; top
N
[編輯]naive set theory:樸素集合論; natural logarithm:自然對數; natural number:自然數; natural science:自然科學; negative number:負數; neighbourhood:鄰域; New Foundations:新基礎理論; nine point circle:九點圓; non-Euclidean geometry:非歐幾里德幾何; nonlinearity:非線性; non-singular matrix:非奇異矩陣; nonstandard model:非標準模型; nonstandard analysis:非標準分析; norm:範數; normed vector space:賦范向量空間; n-tuple:n 元組 或 多元組; nullary:空; nullary intersection:空交集; number:數; number line:數軸; number theory:數論; 格式: en::[[]]; top
O
[編輯]object:對象; octonion:八元數; one-to-one correspondence:一一對應; open:開集; open ball:開球; operation:運算; operator:算子; or:或; order of magnitude:數量級; orders of magnitude (numbers):數量級 (數); orders of magnitude (time):數量級 (時間); order topology:序拓撲; ordered field:有序域; ordered pair:有序對; ordered set:偏序集; ordinal number:序數; ordinary mathematics:一般數學; origin:原點; orthogonal matrix:正交矩陣; 格式: en::[[]]; top
P
[編輯]p-adic number:p進數; paracompact space:仿緊緻空間; parallel postulate:平行公理; parallelepiped:平行六面體; parallelogram:平行四邊形; partial order:偏序關係; partition:分割; Peano arithmetic:皮亞諾公理; Pedoe's inequality:佩多不等式; perfect number:完全數; perpendicular:垂直; philosopher:哲學家; philosophy:哲學; philosophy journals:哲學類雜誌; plane:平面; plural quantification:複數量化; point:點; Point-Line-Plane postulate:點線面假設; polar coordinates:極坐標系; polynomial:多項式; polynomial sequence:多項式列; positive-definite matrix:正定矩陣; positive-semidefinite matrix:半正定矩陣; power set:冪集; predicate:謂詞; predicate logic:謂詞邏輯; preorder:預序關係; prime number:素數; prime number theorem:素數定理; probability:概率; product:積; proof:證明; proper class:純類; proper subset:真子集; property:性質; proposition:命題; pseudovector:偽向量; Pythagorean theorem:勾股定理; 格式: en::[[]]; top
Q
[編輯]Q.E.D.:Q.E.D.; quaternion:四元數; quaternions and spatial rotation:四元數與空間旋轉; question:疑問句; quotient field:商域; quotient set:商集; 格式: en::[[]]; top
R
[編輯]radius:半徑; ratio:比; rational number:有理數; real analysis:實分析; real closed field:實閉域; real line:實數軸; real number:實數; real number line:實數線; reciprocal:倒數; rectangle:矩形; reflexive relation:自反關係; reflexivity:自反性; reification:具體化; relation:關係; relative complement:相對補集; relatively complemented lattice:相對補格; right angle:直角; right-handed rule:右手定則; ring:環; 格式: en::[[]]; top
S
[編輯]scalar:純量; second-countable space:第二可數空間; self-adjoint operator:自伴隨算子; sentence:判斷; separable space:可分空間; sequence:數列 或 序列; sequence space:序列空間; series:級數; sesquilinear function:半雙線性函數; set:集合; set-theoretic definition of natural numbers:自然數的集合論定義; set theory:集合論; several complex variables:一些復變量; shape:幾何形狀; sieve theory:篩選理論; sign function:符號函數; singleton:單元素集合; social science:社會科學; solid geometry:立體幾何; space:空間; spherical coordinates:球坐標系; square matrix:方塊矩陣; square:平方; square:正方形; square-free integer:無平方數因數的數; en:square number:平方數; square root:平方根; strict:嚴格; structural recursion:結構遞歸; subset:子集; subsequence:子序列; subspace:子空間; subspace topology:子空間拓撲; subtraction:減法; sum:和; summation:求和; supremum:上確界; surreal number:超實數; symmetric difference:對稱差; symmetric relation:對稱關係; system of linear equations:線性方程組; 格式: en::[[]]; top
T
[編輯]tensor:張量; terminal object:終結對象; the algebra of sets:集合代數; theorem:定理; top element:最大元; topological field:拓撲域; topological manifold:拓撲流形; topological space:拓撲空間; topology:拓撲 或 拓撲學; total order:全序關係; totally disconnected:完全不連貫; totally ordered set:全序集; transcendental number:超越數; transfinite induction:超限歸納法; transfinite recursion:超限遞歸; transitivity:傳遞性; transitive relation:傳遞關係; transpose:轉置; triangular number:三角形數; triangle inequality:三角不等式; trigonometric identities:三角恆等式; triple product:三重積; trivial topology:密着拓撲; true:真; truth value:真值; twin prime:孿生素數; twin prime conjecture:孿生素數猜想; 格式: en::[[]]; top
U
[編輯]unary operation:一元運算; uncountable:不可數; uniform space:一致空間; union:併集; unique:唯一; unit interval:單位區間; unit step function:單位階躍函數; unit vector:單位向量; universal quantification:全稱量詞; universal set:全集; upper bound:上界; 格式: en::[[]]; top
V
[編輯]vacuously true:??; Vandermonde's identity:Vandermonde 恆等式; variable:變量; vector:向量; vector calculus:向量分析; vector space:向量空間; Venn diagram:文氏圖; volume:體積; von Neumann ordinal:馮·諾伊曼序數; von Neumann universe:馮·諾伊曼全集; vulgar fraction:分數; 格式: en::[[]]; top
W
[編輯]X
[編輯]Y
[編輯]Z
[編輯]Zermelo set theory:策梅羅集合論; Zermelo-Fraenkel set theory:策梅羅-弗蘭克爾集合論; ZF set theory:ZF 系統; zero:零; zero object:零對象; 格式: en::[[]]; top
others
[編輯]accountancy:會計學; computer science:計算機科學; database:數據庫; debt:債務; displacement:位移; doubly linked list:雙向鍊表; force:力; Gross National Product:國民生產總值; Lisp:LISP; mechanical work:功; net force:合力; programming language:程式語言; relational model:關係模型; traffic sign:道路交通標誌;