Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances
It's really sort of amazing that people manage to communicate in the English language Here are some typical sentences: 1. You may have cake or you may have ice cream 2. If pigs can fly, then you can understand the Chernoff bound 3. If you can solve any problem we come up with then you get an a for the course. 4. Every American has a dream What precisely do these sentences mean? Can you have both cake and ice cream or must you choose just one desert? If the second sentence is true, then is the Chernoff bound incomprehensible? If you can solve some problems we come up with but not all, then do you get an a for the course? And can you still get an a even if you cant solve any of the problems? Does the last sentence imply that all Americans have the same dream or might
Due Sept 17. 2002 1. a) Mean free path 2= kBI d-p where k=1.38×102,T=293K,p=10mTor=133Pa,d=1A=100m 38×10-3(293 6.9cm ford=1A Jr(m)(332)017mfrd=2A b) Use the ideal gas law pV=nkB T 1.33Pa vk7(138×102X90)33×10m-33×10cm3
二章习题课 例题一、如图所示的构件,B为中间铰,受载荷如图所示。 求:A、C处的约束反力。 q M A a a 〔思路 1、在解题前,先回顾一下固定端约束的情形。分别以旗杆、墙上钉的铁钉等,介绍其约 束情况(反力的个数) 2、需要求解的未知数为4个,只选取一次研究对象不能解决问题,需要补充方程。故可 以考虑先选取BC为研究对象,在以整体为对象,即可求解。 解)
