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flow networks Definition. A flow network is a directed graph G=(, E)with two distinguished vertices:a source s and a sink t. Each edge(u, v)E E has a nonnegative capacity c(u, v). If(u, v) E, then c(u, v)=0 Example: c 2001 by Charles E Leiserson
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一、点电荷模型(d<
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NUMERICAL SoL°To ·G川EN舟c。 MPLEX SET of0 YNAMICS 义(t)=斤(x,x) WHERE f()CouL0BE升MNLE升 R FUNCTI0N 工TCNB.工 MOss8 LE To ACTVALLY SoLVE FoR×(t)∈ ACTLY →0 EVELoP A则 UMERICAL SOLUTION. cA小NE0co0 ES TO HELP v5 D。TwsτN MATLAB BUT LET US CONSIDER THE BAsIcs
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1.如何理解电子分布函数f(E)的物理意义是:能量为E的一个量子态被电子所占据的平均 几率? [解答] 金属中的价电子遵从费密-狄拉克统计分布,温度为T时,分布在能级E上的电子数目 n二 e(E-Ep)/kg g为简并度,即能级E包含的量子态数目.显然,电子分布函数 f(e (E-EF)/kg!+1 是温度7时,能级E的一个量子态上平均分布的电子数.因为一个量子态最多由一个电子所 据,所以f(E)的物理意义又可表述为:能量为E的一个量子态被电子所占据的平均几
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设给定一个测度空间(X,,),C是可积函数类L(u)的一个子类.若对任意可积 函数f∈L(u)和>0,存在一个g∈C,使得f-gd<,则称可积函数可以用C 中的函数逼近
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GY RoScoPES UPTo NoW HAVE CONSIDE RED PROBLEMS RELE VANT To THE RIG ID 6oDY 0YNAMICS THAT ARE IMPORTANT To AERoSPACE VEHI CLES USEO A BoDY FRAME THAT RDTATES WITH THE VEHICLE ANOTHER IMPORT ANT CLASS oF ARo BLEMS FB0 ES SUCH A5 Gγ Ro ScopEs RoτcRuV啊 HIGH SPIN RAT∈ ESSENTIALLY MASSLESS FRAME (CARDAN)
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3.1 Common feature of spontaneous change 3.2 The second law of thermodynamics 3.3 Carnot cycle and Carnot principle 3.4 Definition of entropy 3.5 Clausius inequality ; principle of increase of entropy 3.6 Calculate the change of entropy 3.7 Statistical view of entropy 3.8 Helmholtz function and Gibbs function 3.9 Direction of change and conditions in equilibrium 3.10 Calculate of G 3.11 Relations of thermodynamic functions 3.12 Clapeyron equation 3.13 The third law and conventional entropy
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Lecture 4 Introduction to Spline Curves 4.1 Introduction to parametric spline curves Parametric formulation =r(u),y=y(u), z=2(u) or R=R(u)(vector notation) Usually applications need a finite range for u(e.g. 0
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Service times Poisson arrivals at rate n Service time has arbitrary distribution with given E[X] and E[X2I Service times are independent and identically distributed (ID) Independent of arrival times E[service time]=1/u Single Server queue
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MIT OCW DATA COMMUNICATION CONTENTS Lectures 2 The Data Link Layer: Framing and Error Detection Lectures 3 4 The Data link layer: arQ Protocols Lectures 5 6 Introduction to Queueing Theory Lectures 8&9 M/G/I Queues
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