数学专业英语答案.docx
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数学专业英语答案.docx
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数学专业英语答案
数学专业英语答案
【篇一:
数学专业英语】
class=txt>abeliandifferential阿贝耳微分
abelianequation阿贝耳方程
abelianextension阿贝耳扩张
abelianfunction阿贝耳函数
abelianfunctionfield阿贝耳函数域
abelianfunctor阿贝耳函子
abeliangroup交换群
abeliangroupoid阿贝耳广群
abelianintegral阿贝耳积分
abeliansummation阿贝耳求和法
abeliantheorem阿贝耳定理
abelianvariety阿贝耳簇
abridge略
abridgednotation简算记号
abscissa横坐标
abscissaofabsoluteconvergence绝对收敛坐标abscissaofsummability可和性坐标
abscissaofuniformconvergence一致收敛横坐标absolute绝对形
absoluteaddress绝对地址
absoluteclassfield绝对类域
absolutecoding绝对编码
absolutecohomology绝对上同调
absoluteconic绝对二次曲线
absoluteconvergence绝对收敛
absolutecurvaturevector绝对曲率向量
absolutedeviation绝对偏差
absolutedifferentialcalculus绝对微分学
absoluteerror绝对误差
absoluteextremes绝对极值
absoluteextremum绝对极值
absolutefrequency绝对频率
absolutegeometry绝对几何
absolutehomologygroup绝对同岛
absolutehomotopygroup绝对同伦群
absoluteinequality绝对不等式
absoluteinstability绝对不稳定性
absolutemaximum绝对极大值
absoluteminimum绝对极小值
absolutemoment绝对矩
absoluteneighborhood绝对邻域
absoluteneighborhoodretract绝对邻域收缩核absolutenorm绝对范数
absolutenumber不名数
absoluteparallelism绝对平行性
absolutequadric绝对二次曲面
absoluteramificationindex绝对分歧指数
absoluterotation绝对旋转
absolutesingularhomologygroup绝对奇异同岛absolutespace绝对空间
absolutespacetime绝对时空
absolutestability绝对稳定性
absoluteterm常数项
absoluteunit绝对单位
absolutevalue绝对值
absolutevaluesign绝对值符号
absolutevelocity绝对速度
absolutelyadditivemeasure完全加性测度
absolutelycompactset绝对紧集
absolutelycompletesystem绝对完备系
absolutelycontinuous绝对连续的
absolutelycontinuousdistribution绝对连续分布absolutelycontinuousfunction绝对连续函数
absolutelycontinuousmeasure绝对连续测度
absolutelycontinuouspart绝对连续部分
absolutelycontinuoustransformation绝对连续变换absolutelyconvergent绝对收敛的
absolutelyconvergentintegral绝对收敛积分
absolutelyconvergentseries绝对收敛级数
absolutelyconvexhull绝对凸包
absolutelydiscontinuousfunction绝对不连续函数absolutelyintegrable绝对可积的
absolutelyirreduciblecharacter绝对不可约特征
absolutelyirreduciblerepresentation绝对不可约表示absolutelyirreduciblevariety绝对不可约簇
absolutelynormalnumber绝对范数
absolutelyprimeideal绝对素理想
absolutelysemisimplealgebra绝对半单代数
absolutelysimplegroup绝对单群
absolutelysummablesequence绝对可和序列
absolutelyunbiasedestimator绝对无偏估计量absolutelyuamifiedextension绝对非分歧扩张absorbingbarrier吸收障碍
absorbingmedium吸收媒体
absorbingset吸收集
absorbingstate吸收态
absorption吸收
absorptioncoefficient吸收系数
absorptioncurve吸收曲线
absorptionfactor吸收因数
absorptionindex吸收指数
absorptionlaw吸收律
absorptionprobability吸收概率
abstract抽象的
abstractalgebra抽象代数
abstractalgebraicgeometry抽象代数几何
abstractautomaton抽象自动机
abstractcategory抽象范畴
abstractcode理想码
abstractcomplex抽象复形
abstractgroup抽象群
abstractintervalfunction抽象区间函数
abstractmathematics抽象数学
abstractnumber不名数
abstractorderedsimplicialcomplex抽象有序单纯复形abstractsimplex抽象单形
abstractsimplicialsubcomplex抽象单子复形
abstractspace抽象空间
abstraction抽象
abstractionoperator抽象算子
absurd谬论的
absurdity谬论
abundanceratio丰度比
abundantnumber过剩数
acceleratedmotion加速运动
acceleration加速度
accelerationofconvergence收敛性的加速
accelerationofgravity重力加速度
acceptablequalitylevel合格质量水平
acceptance肯定
acceptanceinspection接受检查
acceptancelimit接受界限
acceptanceline接受线
acceptancenumber接受数
acceptanceprobability接受概率
acceptanceregion接受区域
acceptancezone接受带
access存取
accessspeed存取速度
accesstime存取时间
accessibility可达性
accessibleboundarypoint可达边界点
accessibleordinalnumber可达序数
accessiblepoint可达点
accessibleset可达集
accessiblevertex可达顶点
accessoryextremal配连极值
accidental偶然的
accidentalcoincidence偶然符合
accidentalerror随机误差
accommodation第
accumulatederror累积误差
accumulatingpoint聚点
accumulation累积
accumulationpoint聚点
accumulator累加器存储器
accuracy准确性
accuracygrade准确度
accuracyofmeasurement测量精确度
accuracyrating准确度
acnod孤点
acount计算
actionintegral酌积分
actionvariable酌变量
activerestriction有效限制
actual真实的
actualinfinity实无穷
acute尖锐的
acuteangle锐角
acuteangledtriangle锐角三角形
acutetriangle锐角三角形
acuteness锐度
acyclic非循环的
acycliccomplex非循环复形
acyclicgraph环道自由图
acyclicmodeltheorem非循环模型定理
adinfinitum无穷地
adamscircle阿达姆斯圆
adamsextrapolationmethod阿达姆斯外插法
adaptability适应性
adaptation适应
adaptedbasis适应基
add加
addedcircuit加法电路
addend加数
adder加法器
addition加法
additionformulas加法公式
additionsign加号
additionsystem加法系
additiontable加法表
additiontheorem加法定理
additiontheoremofprobability概率的加法定理additional加法的
additionalcode附加代码
additionalcondition附加条件
additionalerror附加误差
additive加法的
additivecategory加性范畴
additiveclass加性类
additivefunctional加性泛函数
additivefunctionaltransformation加性泛函变换additivegroup加法群
additiveintervalfunction加性区间函数
additiveinverseelement加性逆元素
additivenumbertheory堆垒数论
additiveoperator加性算子
additiveprocess加性过程
additiverelation加性关系
additiveseparable加法可分的
additivetheoryofnumbers堆垒数论
additivevaluation加法赋值
additivelycommutativeordinalnumbers加性交换序数additivity加法性
address地址
addresspart地址部分
addressregister地址寄存器
addressing指定箱位
adele阿代尔
adelegroup阿代尔群
adequate适合的
adherentpoint触点
adhesion附着
adjacency邻接
adjacencymatrix邻接矩阵
adjacentangles邻角
adjacentedge邻棱
adjacentside邻边
adjacentsupplementaryangles邻角
【篇二:
数学专业英语】
linearprogrammingisarelativelynewbranchofmathematics.thecornerstoneofthisexcitingfieldwaslaidindependentlybuleonidv.kantorovich,arussianmathematician,andbytjallingc,koopmans,ayaleeconomist,andgeorged.dantzig,astanfordmathematician.kantorovich’spioneeringworkwasmotivatedbyaproduction-schedulingproblemsuggestedbythecentrallaboratoryoftheleningradplywoodtrustinthelate1930’s.thedevelopmentintheunitedstateswasinfluencedbythescientificneedinworldwariitosolvelogisticmilitaryproblems,suchasdeployingaircraftandsubmarinesatstrategicpositionsandairliftingsuppliesandpersonnel.thefollowingisatypicallinearprogrammingproblem:
amanufacturingcompanymakestwotypesoftelevisionsets:
oneisblackandwhiteandtheotheriscolor.thecompanyhasresourcestomakeatmost300setsaweek.ittakes$180tomakeablackandwhitesetand$270tomakeacolorset.thecompanydoesnotwanttospendmorethan$64,800aweektomaketelevisionsets.iftheymakeaprofitof$170perblackandwhitesetand$225percolorset,howmanysetsofeachtypeshouldthecompanymaketohaveamaximumprofit?
thisproblemisdiscussedindetailinsupplementaryreadingmateriallesson14.
sincemathematicalmodelsinlinearprogrammingproblemsconsistoflinearinequalities,thenextsectionisdevotedtosuchinequalities.
recallthatthelinearequationlx+my+n=0representsastraightlineinaplane.everysolution(x,y)oftheequationlx+my+n=0isapointonthisline,andviceversa.
aninequalitythatisobtainedfromthelinearequationlx+my+n=0byreplacingtheequalitysign“=”byaninequalitysign(lessthan),≤(lessthanorequalto),(greaterthan),or≥(greaterthanorequalto)iscalledalinearinequalityintwovariablesxandy.thuslx+my+n≤0,lx+my+n≥0arealllinearliequalities.
asolutionofalinearinequalityisanorderedpair(x,y)ofnumbersxandyforwhichtheinequalityistrue.
example1graphthesolutionsetofthepairofinequalities
solutionletabethesolutionsetoftheinequalityx+y-7≤0andbbethatoftheinequalityx-3y+6≥0.thena∩bisthesolutionsetofthegivenpairofinequalities.setaisrepresentedbytheregionshadedwithhorizontallinesandsetbbytheregionshadedwithverticallinesinfig.1.thereforethecrossed-hatchedregionrepresentsthesolutionsetofthegivenpairofinequalities.observethatthepointofintersection(3.4)ofthetwolinesisinthesolutionset.
generallyspeaking,linearprogrammingproblemsconsistoffindingthemaximumvalueorminimumvalueofalinearfunction,calledtheobjectivefunction,subjecttosomelinearconditions,calledconstraints.forexample,wemaywanttomaximizetheproductionorprofitofacompanyortomaximizethenumberofairplanesthatcanlandatortakeofffromanairportduringpeakhours;orwemaywanttominimizethecostofproductionoroftransportationortominimizegroceryexpenseswhilestillmeetingtherecommendednutritionalrequirements,allsubjecttocertainrestrictions.linearprogrammingisaveryusefultoolthatcaneffectivelybeappliedtosolveproblemsofthiskind,asillustratedbythefollowingexample.
example2maximizethefunctionf(x,y)=5x+7ysubjecttotheconstraintsx≥0y≥0
x+y-7≤0
2x-3y+6≥0
solutionfirstwefindthesetofallpossiblepairs(x,y)ofnumbersthatsatisfyallfourinequalities.suchasolutioniscalledafeasiblesulutionoftheproblem.forexample,(0,0)isafeasiblesolutionsince(0,0)satisfiesthegivenconditions;soare(1,2)and(4,3).
secondly,wewanttopickthefeasiblesolutionforwhichthegivenfunctionf(x,y)isamaximumorminimum(maximuminthiscase).suchafeasiblesolutioniscalledanoptimalsolution.
sincetheconstraintsx≥0andy≥0restrictustothefirstquadrant,itfollowsfromexample1thatthegivenconstraintsdefinethepolygonalregionboundedbythelinesx=0,y=0,x+y-7=0,and2x-3y+6=0,asshowninfig.2.
fig.2.
observethatiftherearenoconditionsonthevaluesofxandy,thenthefunctionfcantakeonanydesiredvalue.butrecallthatourgoalistodeterminethelargestvalueoff(x,y)=5x+7ywherethevaluesofx
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