Recent content by jack1234

Say given a simple acyclic directed graph with n nodes , which includes a starting node s0 and ending node e0 (i.e., a kripke structure without loop) what is the maximum number of path from s0 to e0?

Have typed the question is latex format, here it is: http://i.stack.imgur.com/grxgI.png

Following is the question http://tinyurl.com/62uxof solution http://tinyurl.com/6m4lcc The distribution in question means cumulative distribution. What I do not understand in the solution is the step from P{X_1<=wX_2} to the integration formula that followed immediately. May I know the...

Thanks but why the distance needs to divide by n(in this case n=3)? ie \frac{\sqrt{(x^2+ y^2+ z^2)}{n} Seems like it is the average distance of each dimension in the n-dimension to the original point. Am I right? If yes, may I know what is the significant value to define it as such? >>not...

From this website, http://www.analytictech.com/mb313/rootmean.htm It seems to it is more intuitive to just inverse all the sign to calculate the mean. But I can't get the idea of root mean square (equation can see here http://en.wikipedia.org/wiki/Root_mean_square) How is this idea...

Hi, I have a problem regarding inequality involving ceiling here, thanks:) https://www.physicsforums.com/showthread.php?p=1635681#post1635681

Inequality question involving Ceiling I have seen the following sentence in the reference book, B-1 >= Ceiling(N/B) implies that B must at least be large enough to satisfy B*(B-1) >= N but how does B-1 >= Ceiling(N/B) implies B*(B-1) >= N ? Note that B and N are natural numbers.

The reference book I have used stating that: Axiom 1 stating that 0<=P(E)<=1 Axiom 2 stating that P(S)=1 Axiom 3, the probability of union of mutually exclusive events is equal to the summation probability of of each of the events. And the author says that, hopefully, the reader will agree...

Thanks again :) The reference book I have used stating that: Axiom 1 stating that 0<=P(E)<=1 Axiom 2 stating that P(S)=1 Axiom 3, the probability of union of mutually exclusive events is equal to the summation probability of of each of the events. And the author says that, hopefully, the reader...

Thanks, but why we do not called p(<sample space>)=1 as a definition instead of an axiom? I am not sure what make us call it an axiom...

I have a question regarding one of the axiom for probability, which is p(<sample space>)=1. I do not understand why p(<sample space>)=1 is an axiom instead of theorem, since I can prove it with the following argument: Since sample space has been defined as the set of all possible outcomes...

Thanks for the replies :) However, I have some question regarding the replies. Do you mean that first question is wrong, because the way of choosing it is C(11,2), but the number of distinct combination(outcome) is 3? For the first question, I am just choosing it(combination), but not going to...

There are 6 white and 5 black ball. How many ways to choose 2 balls from it? My Answer: 3 ways, which is (1)two white ball (2)One white and One Black (3)Two Black ball What is the probability that one of the drawn balls is white and the other black? My Answer: C(6,1)*C(5,1)/C(11,2)...

I see, a simple keyword make so much different! Thanks a lot :)

Hi, for your reference, this is the question for pendulum bob that I asked before: https://www.physicsforums.com/showthread.php?t=201906 The pendulum is going around to the top of the loop with respect the "peg".