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高等數(shù)學(xué)英語(yǔ)詞匯
高等數(shù)學(xué)指相對(duì)于初等數(shù)學(xué)而言，數(shù)學(xué)的對(duì)象及方法較為繁雜的一部分。以下是小編分享給大家的高等數(shù)學(xué)英語(yǔ)詞匯，歡迎閱讀!
A
abelian group：阿貝爾群; absolute geometry：絕對(duì)幾何; absolute value：絕對(duì)值; abstract algebra：抽象代數(shù); addition：加法; algebra：代數(shù); algebraicclosure：代數(shù)閉包; algebraic geometry：代數(shù)幾何;algebraic geometry and analytic geometry：代數(shù)幾何和解析幾何; algebraic numbers：代數(shù)數(shù); algorithm：算法; almost all：絕大多數(shù); analytic function：解析函數(shù); analytic geometry：解析幾何; and：且;angle：角度; anticommutative：反交換律; antisymmetric relation：反對(duì)稱關(guān)系; antisymmetry：反對(duì)稱性; approximately equal：約等于; Archimedean field：阿基米德域; Archimedean group：阿基米德群; area：面積; arithmetic：算術(shù); associative algebra：結(jié)合代數(shù); associativity：結(jié)合律; axiom：公理; axiom of constructibility：可構(gòu)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(duì)集公理; axiom of regularity：正則公理; axiom of replacement：代換公理; axiom of union：并集公理; 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(tǒng);
B
Baire space：貝利空間; basis：基; Bézouts identity：貝祖恒等式; Bernoullis inequality：伯努利不等式 ; Big O notation：大O符號(hào); bilinear operator：雙線性算子; binary operation：二元運(yùn)算; binary predicate：二元謂詞; binary relation：二元關(guān)系; Boolean algebra：布爾代數(shù);Boolean logic：布爾邏輯; Boolean ring：布爾環(huán); boundary：邊界; boundary point：邊界點(diǎn);bounded lattice：有界格;
C
calculus：微積分學(xué); Cantors diagonal argument：康托爾對(duì)角線方法; cardinal number：基數(shù);cardinality：勢(shì); cardinality of the continuum：連續(xù)統(tǒng)的勢(shì); Cartesian coordinate system：直角坐標(biāo)系; Cartesian product：笛卡爾積; category：范疇; Cauchy sequence：柯西序列; Cauchy-Schwarz inequality：柯西不等式; Cevas Theorem：塞瓦定理; characteristic：特征;characteristic polynomial：特征多項(xiàng)式; circle：圓; class：類; closed：閉集; closure：封閉性 或 閉包; closure algebra：閉包代數(shù); combinatorial identities：組合恒等式; commutativegroup：交換群; commutative ring：交換環(huán); commutativity:：交換律; compact：緊致的;compact set：緊致集合; compact space：緊致空間; complement：補(bǔ)集 或 補(bǔ)運(yùn)算; completelattice：完備格; complete metric space：完備的度量空間; complete space：完備空間; complexmanifold：復(fù)流形; complex plane：復(fù)平面; congruence：同余; congruent：全等; connectedspace：連通空間; constructible universe：可構(gòu)造全集; constructions of the real numbers：實(shí)數(shù)的構(gòu)造; continued fraction：連分?jǐn)?shù); continuous：連續(xù); continuum hypothesis：連續(xù)統(tǒng)假設(shè);contractible space：可縮空間; convergence space：收斂空間; cosine：余弦; countable：可數(shù);countable set：可數(shù)集; cross product：叉積; cycle space：圈空間; cyclic group：循環(huán)群;
D
de Morgans 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(dǎo)數(shù); determinant：行列式; diffeomorphism：可微同構(gòu); difference：差; differentiable manifold：可微流形;differential calculus：微分學(xué); dimension：維數(shù); directed graph：有向圖; discrete space：離散空間; discriminant：判別式; distance：距離; distributivity：分配律; dividend：被除數(shù);dividing：除; divisibility：整除; division：除法; divisor：除數(shù); dot product：點(diǎn)積;
E
eigenvalue：特征值; eigenvector：特征向量; element：元素; elementary algebra：初等代數(shù);empty function：空函數(shù); empty set：空集; empty product：空積; equal：等于; equality：等式 或 等于; equation：方程; equivalence relation：等價(jià)關(guān)系; Euclidean geometry：歐幾里德幾何;Euclidean metric：歐幾里德度量; Euclidean space：歐幾里德空間; Eulers identity：歐拉恒等式;even number：偶數(shù); event：事件; existential quantifier：存在量詞; exponential function：指數(shù)函數(shù); exponential identities：指數(shù)恒等式; expression：表達(dá)式; extended real number line：擴(kuò)展的實(shí)數(shù)軸;
F
false：假; field：域; finite：有限; finite field：有限域; finite set：有限集合; first-countablespace：第一可數(shù)空間; first order logic：一階邏輯; foundations of mathematics：數(shù)學(xué)基礎(chǔ);function：函數(shù); functional analysis：泛函分析; functional predicate：函數(shù)謂詞;fundamental theorem of algebra：代數(shù)基本定理; fraction：分?jǐn)?shù);
G
gauge space：規(guī)格空間; general linear group：一般線性群; geometry：幾何學(xué); gradient：梯度;graph：圖; graph of a relation：關(guān)系圖; graph theory：圖論; greatest element：最大元;group：群; group homomorphism：群同態(tài);
H
Hausdorff space：豪斯多夫空間; hereditarily finite set：遺傳有限集合; Herons formula：海倫公式; Hilbert space：希爾伯特空間; Hilberts axioms：希爾伯特公理系統(tǒng); 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(shù)恒等式; hypergeometric function identities：超幾何函數(shù)恒等式; hyperreal number：超實(shí)數(shù);
I
identical：同一的; identity：恒等式; identity element：?jiǎn)挝辉? identity matrix：?jiǎn)挝痪仃?idempotent：冪等; if：若; if and only if：當(dāng)且僅當(dāng); iff：當(dāng)且僅當(dāng); imaginary number：虛數(shù);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(shù)不等式; infimum：下確界; infiniteseries：無(wú)窮級(jí)數(shù); infinite：無(wú)窮大; infinitesimal：無(wú)窮小; infinity：無(wú)窮大; initial object：初始對(duì)象; inner angle：內(nèi)角; inner product：內(nèi)積; inner product space：內(nèi)積空間; integer：整數(shù); integer sequence：整數(shù)列; integral：積分; integral domain：整數(shù)環(huán); interior：內(nèi)部;interior algebra：內(nèi)部代數(shù); interior point：內(nèi)點(diǎn); intersection：交集; inverse element：逆元;invertible matrix：可逆矩陣; interval：區(qū)間; involution：回旋; irrational number：無(wú)理數(shù);isolated point：孤點(diǎn); isomorphism：同構(gòu);
J
Jacobi identity：雅可比恒等式; join：并運(yùn)算;
K
格式： Kuratowski closure axioms：Kuratowski 閉包公理;
L
least element：最小元; Lebesgue measure：勒貝格測(cè)度; Leibnizs law：萊布尼茨律; Liealgebra：李代數(shù); Lie group：李群; limit：極限; limit point：極限點(diǎn); line：線; line segment：線段; linear：線性; linear algebra：線性代數(shù); 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 oflinear algebra topics：線性代數(shù)相關(guān)條目; locally compact space：局部緊致空間; logarithmicidentities：對(duì)數(shù)恒等式; logic：邏輯學(xué); logical positivism：邏輯實(shí)證主義; law of cosines：余弦定理; L??wenheim-Skolem theorem：L??wenheim-Skolem 定理; lower limit topology：下限拓?fù)?
M
magnitude：量; manifold：流形; map：映射; mathematical symbols：數(shù)學(xué)符號(hào); mathematicalanalysis：數(shù)學(xué)分析; mathematical proof：數(shù)學(xué)證明; mathematics：數(shù)學(xué); matrix：矩陣;matrix multiplication：矩陣乘法; meaning：語(yǔ)義; measure：測(cè)度; meet：交運(yùn)算; member：元素; metamathematics：元數(shù)學(xué); metric：度量; metric space：度量空間; model：模型; modeltheory：模型論; modular arithmetic：模運(yùn)算; module：模; monotonic function：?jiǎn)握{(diào)函數(shù);multilinear algebra：多重線性代數(shù); multiplication：乘法; multiset：多樣集;
N
naive set theory：樸素集合論; natural logarithm：自然對(duì)數(shù); natural number：自然數(shù); naturalscience：自然科學(xué); negative number：負(fù)數(shù); neighbourhood：鄰域; New Foundations：新基礎(chǔ)理論; nine point circle：九點(diǎn)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(biāo)準(zhǔn)模型; nonstandardanalysis：非標(biāo)準(zhǔn)分析; norm：范數(shù); 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(shù); number line：數(shù)軸;
O
object：對(duì)象; octonion：八元數(shù); one-to-one correspondence：一一對(duì)應(yīng); open：開(kāi)集; openball：開(kāi)球; operation：運(yùn)算; operator：算子; or：或; order topology：序拓?fù)? ordered field：有序域; ordered pair：有序?qū)? ordered set：偏序集; ordinal number：序數(shù); ordinarymathematics：一般數(shù)學(xué); origin：原點(diǎn); orthogonal matrix：正交矩陣;
P
p-adic number：p進(jìn)數(shù);
paracompact space：仿緊致空間;
parallel postulate：平行公理;
parallelepiped：平行六面體;
parallelogram：平行四邊形;
partial order：偏序關(guān)系;
partition：分割;
Peano arithmetic：皮亞諾公理;
Pedoes inequality：佩多不等式;
perpendicular：垂直;
philosopher：哲學(xué)家;
philosophy：哲學(xué);
philosophy journals：
哲學(xué)類雜志;
plane：平面;
pluralquantification：復(fù)數(shù)量化;
point：點(diǎn);
Point-Line-Plane postulate：點(diǎn)線面假設(shè);
polarcoordinates：極坐標(biāo)系;
polynomial：多項(xiàng)式;
polynomial sequence：多項(xiàng)式列;
positive-definitematrix：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(yù)序關(guān)系;
prime number：素?cái)?shù);
product：積;
proof：證明;
proper class：純類;
proper subset：真子集;
property：性質(zhì);
proposition：命題;
pseudovector：偽向量;
Pythagorean theorem：勾股定理;
Q
quaternion：四元數(shù);
quaternions and spatial rotation：四元數(shù)與空間旋轉(zhuǎn);
question：疑問(wèn)句;
quotient field：商域;
quotient set：商集;
R
radius：半徑;
ratio：比;
rational number：有理數(shù);
real analysis：實(shí)分析;
real closed field：實(shí)閉域;
real line：實(shí)數(shù)軸;
real number：實(shí)數(shù);
real number line：實(shí)數(shù)線;
reflexive relation：自反關(guān)系;
reflexivity：自反性;
reification：具體化;
relation：關(guān)系;
relative complement：相對(duì)補(bǔ)集;
relatively complemented lattice：相對(duì)補(bǔ)格;
right angle：直角;
right-handed rule：右手定則;
ring：環(huán);
S
scalar：標(biāo)量;
second-countable space：第二可數(shù)空間;
self-adjoint operator：自伴隨算子;
sentence：判斷;
separable space：可分空間;
sequence：數(shù)列 或 序列;
sequence space：序列空間;
series：級(jí)數(shù);
sesquilinear function：半雙線性函數(shù);
set：集合;
set-theoretic definitionof natural numbers：自然數(shù)的集合論定義;
set theory：集合論;
several complex variables：一些復(fù)變量;
shape：幾何形狀;
sign function：符號(hào)函數(shù);
singleton：?jiǎn)卧丶?
social science：社會(huì)科學(xué);
solid geometry：立體幾何;
space：空間;
spherical coordinates：球坐標(biāo)系;
squarematrix：方塊矩陣;
square root：平方根;
strict：嚴(yán)格;
structural recursion：結(jié)構(gòu)遞歸;
subset：子集;
subsequence：子序列;
subspace：子空間;
subspace topology：子空間拓?fù)?
subtraction：減法;
sum：和;
summation：求和;
supremum：上確界;
surreal number：超實(shí)數(shù);
symmetric difference：對(duì)稱差;
symmetric relation：對(duì)稱關(guān)系;
system of linearequations：線性方程組;
T
tensor：張量;
terminal object：終結(jié)對(duì)象;
the algebra of sets：集合代數(shù);
theorem：定理;
topelement：最大元; topological field：拓?fù)溆?
topological manifold：拓?fù)淞餍?
topological space：拓?fù)淇臻g;
topology：拓?fù)?或 拓?fù)鋵W(xué);
total order：全序關(guān)系;
totally disconnected：完全不連貫;
totally ordered set：全序集;
transcendental number：超越數(shù);
transfinite recursion：超限歸納法;
transitivity：傳遞性;
transitive relation：傳遞關(guān)系;
transpose：轉(zhuǎn)置;
triangleinequality：三角不等式;
trigonometric identities：三角恒等式; triple product：三重積;
trivialtopology：密著拓?fù)?
true：真;
truth value：真值;
U
unary operation：一元運(yùn)算;
uncountable：不可數(shù);
uniform space：一致空間;
union：并集;
unique：唯一;
unit interval：?jiǎn)挝粎^(qū)間;
unit step function：?jiǎn)挝浑A躍函數(shù);
unit vector：?jiǎn)挝幌蛄?
universal quantification：全稱量詞;
universal set：全集;
upper bound：上界;
V
Vandermonde 恒等式;
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(shù);
von Neumann universe：馮·諾伊曼全集;
vulgar fraction：分?jǐn)?shù);
Z
Zermelo set theory：策梅羅集合論;
Zermelo-Fraenkel set theory：策梅羅-弗蘭克爾集合論;
ZF settheory：ZF 系統(tǒng);
zero：零;
zero object：零對(duì)象;
拓展：數(shù)學(xué)公式之英語(yǔ)詞匯大全
salaries tax 薪俸稅
sample 抽樣;樣本
sample mean 樣本平均數(shù)
sample space 樣本空間
sampling distribution 抽樣分布
sampling theory 抽樣理論
sandwich theorem 迫近定理
satisfy 滿足;適合
scalar 純量; 無(wú)向量, 標(biāo)量
scalar matrix 純量矩陣
scalar multipliction 純量乘法
scalar product 純量積
scalar triple product 純量三重積
scale 比例尺;標(biāo)度;圖尺
scalene triangle 不等邊三角形;不規(guī)則三角形
scatter diagram 散點(diǎn)圖
Schwartzs inequality 施瓦茲不等式
scientific notation 科學(xué)記數(shù)法
secant (1)正割; (2)割線
secant method 正割法
second 秒
second derivative 二階導(dǎo)數(shù)
second order ordinary differential equation 二階常微分方程
second quartile 第二四分位數(shù)(1)截面;截線;(2)截點(diǎn)
section (1)截面;截線?;(2)截點(diǎn)
section formula 截點(diǎn)公式
sector 扇式
segment 段;節(jié)
segment of a circle 弓形
selling price 售價(jià)
semicircle 半圓
semi-conjugate axis 半共軛軸
semi-major axis 半主軸; 半長(zhǎng)軸
semi-minor axis 半副軸; 半短軸
semi-transverse axis 半貫軸
semi-vertical angle 半頂角
sentence 句;語(yǔ)句
separable differential equation 可分微分方程
septic equation 七次方程
sequence 序列
series 級(jí)數(shù)
set 集
set square 三角尺;三角板
set-builder form 集的結(jié)構(gòu)式
shaded portion 有陰影部分
shape 形狀
shear 位移
side 邊;側(cè)
sign 符號(hào);記號(hào)
signed number 有符號(hào)數(shù)
significance level 顯著性水平
significant figure 有效數(shù)字
signum 正負(fù)號(hào)函數(shù)
similar 相似
similar figures 相似圖形
similar triangles 相似三角形
similarity 相似(性)
simple equation 簡(jiǎn)易方程
simple harmonic motion 簡(jiǎn)諧運(yùn)動(dòng)
simple interest 單利;單利息
simple iteration method 簡(jiǎn)單迭代法
simple pendulum 單擺
simplify 簡(jiǎn)化
Simpsons integral 森遜積分
Simpsons rule 森遜法則
simultaneous differential equations 微分方程組; 聯(lián)立微分方程
simultaneous equations 聯(lián)立方程
simultaneous inequalities 聯(lián)立不等式
simultaneous linear equations in two unknowns 聯(lián)合二次線性方程式
sine 正弦
sine formula 正弦公式
singleton 單元集
single-valued function 單值函數(shù)
singular 奇的
singular matrix 奇異矩陣; 不可逆矩陣
skew distribution 偏斜分布
skew line 偏斜線
slant edge 斜棱
slant height 斜高
slope 斜率;斜度;傾斜;坡度
slope-intercept form 斜率截距式;斜截式
soild with uniform corss-section 有均勻橫切面的立體
solid 立體;固體
solid of revolution 旋轉(zhuǎn)體; 回旋體
solution 解;解法
solution of equation 方程解
solution of triangle 三角形解法
solution set 解集
solve 解
span 生成
special angle 特殊角;特別角
speed 速率
sphere 球形;球面
spheroid 球體
spiral 螺線
square (1)平方;(2)正方形
square bracket 方括號(hào)
square matrix 方(矩)陣
square number 正方形數(shù);平方數(shù)
square root 平方根;二次根
squeeze theorem 迫近定理
stability 穩(wěn)度
standard deviation 標(biāo)準(zhǔn)差;標(biāo)準(zhǔn)偏離
standard equation 標(biāo)準(zhǔn)方程
standard error 標(biāo)準(zhǔn)誤差
standard form 標(biāo)準(zhǔn)式
standard normal distribution 標(biāo)準(zhǔn)正態(tài)分布; 標(biāo)準(zhǔn)常態(tài)分布
standard score 標(biāo)準(zhǔn)分
standard unit 標(biāo)準(zhǔn)單位
statement 語(yǔ)句
statement calculus 命題演算
static friction 靜磨擦
statics 靜力學(xué)
stationary 平穩(wěn)
stationary point 平穩(wěn)點(diǎn); 逗留點(diǎn); 駐點(diǎn)
stationary value 平穩(wěn)值
statistical chart 統(tǒng)計(jì)分析
statistical data 統(tǒng)計(jì)圖表
statistical significance 統(tǒng)計(jì)數(shù)據(jù)
statistics 統(tǒng)計(jì)顯著性
step 統(tǒng)計(jì); 統(tǒng)計(jì)學(xué)
step function 階梯函數(shù)
straight line 直線
straight line graph 直線圖像
strictly monotonic 嚴(yán)格單調(diào)
strictly monotonic function 嚴(yán)格單調(diào)函數(shù)
subject 主項(xiàng)
submultiple angle formula 半角公式
subnormal 次法線
subsequence 子(序)列
subset 子集
subsidiary angle 輔助角
substitute 代入
substitution 代入; 代入法
subtangent 次切線
subtend 對(duì)向
subtract 減
subtraction 減法
successive approximation 逐次逼近法
successive derivative 逐次導(dǎo)數(shù)
successive differentiation 逐次微分法
sufficiency 充份性
sufficient and necessary condition 充要條件
sufficient condition 充份條件
sufficiently close 充份接近
suffix 下標(biāo)
sum 和
sum to infinity 無(wú)限項(xiàng)之和
sum to n terms n 項(xiàng)和
sum to product formula 和化積公式
summation 求和法; 總和
summation formula 求和公式
superimposing 迭合
super set 母集
supplementary angle 補(bǔ)角
surd 根式; 不盡根
surface 面; 表面
surface area 表面面積; 曲面面積
surface of revolution 旋轉(zhuǎn)曲面; 回轉(zhuǎn)曲面
surjection 滿射
surjective function 滿射函數(shù); 映成函數(shù)
syllogism 三段論
symbol 符號(hào); 記號(hào)
symmetrix difference 對(duì)稱差
symmetric expression 對(duì)稱式
symmetric relation 對(duì)稱關(guān)系
symmetry 對(duì)稱; 對(duì)稱性
synthetic division 綜合除法
system 系統(tǒng); 體系; 組; 系
system of circles 圓族; 圓系
system of numerals 記數(shù)系統(tǒng)
system of straight lines 直線族; 直線系
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