Chapter3 Integral Relations(积分关系式) for a Control Volume in One-dimensional Steady Flows 3.1 Systems(体系) versus Control Volumes(控制体) System: an arbitrary quantity of mass of fixed identity. Everything external to this system is denoted by the term surroundings, and the system is separated from its surroundings by it's boundaries through which no mass
11-1 Classifications of Magnetic Media Magnetic Permeability磁介质的分类磁导率 11-2 Molecular Theory of Paramagnetism& Diamagnetism顺磁质和抗磁质磁化的分子理论 11-3 Ampere's Law in the magnetic matter and magnetic intensity H磁介质中的安培环路定理和磁场强度H 11-4 Ferromagnetism铁磁质
An explorer is trying to reach the Holy Grail, which she believes is located in a desert shrine d days walk from the nearest oasis. In the desert heat, the explorer must drink continuously. She can carry at most 1 gallon of water, which is enough for 1 day. However, she is free to create water caches out in the desert. For example, if the shrine were 2/3 of day's walk into the desert, then she could recover
1 Induction Recall the principle of induction: Principle of Induction. Let P(n) be a predicate. If ·P(0) is true,an for all nE N, P(n) implies P(n+1), then P(n) is true for all nE N As an example let's try to find a simple expression equal to the following sum and then use induction to prove our guess correct 1·2+2·3+3:4+…+n·(mn+1) To help find an equivalent expression, we could try evaluating the sum for some small n and(with the help of a computer) some larger n sum