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You are not logged in. #1 20130318 20:15:56
rat run probabilityA rat is released in the space outside a maze consisting of three rooms and six doors, as depicted in the following figure. #2 20130318 21:06:26
Re: rat run probabilityHi;
These are Markov chains but the terminology is confusing. What does it mean to leave from room 3. Does it mean to end up in the space or in room 2? Last edited by bobbym (20130318 23:18:51) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #4 20130318 23:13:11
Re: rat run probabilityHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #5 20130319 05:33:15
Re: rat run probabilityHi; Last edited by bobbym (20130319 05:33:29) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20130319 18:42:54
Re: rat run probabilityHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #8 20130330 22:18:12
Re: rat run probabilityWhat are Markov Chains? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #9 20130330 22:26:29
Re: rat run probability
As usual Wikipedia achieves new heights in turning something simple into something that only Einstein can understand. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #10 20130330 22:28:33
Re: rat run probabilityHopefully not with a video 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #11 20130330 22:29:20
Re: rat run probabilityNo, with a small example. I was just working on one that is tiny. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #12 20130330 22:32:17
Re: rat run probabilityWill you please show me? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #13 20130330 22:32:57
Re: rat run probabilityMarkov chains are used i probability and you will need to understand matrices and vectors. If you do not, don't worry, just enjoy the show and it all will come later. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #14 20130330 22:50:32
Re: rat run probabilityWe calculate it one by one year stepwise 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #15 20130330 22:55:59
Re: rat run probabilityThere is an easier way. The transition matrix P is Nothing amazing here just defining the terms. We can strip away the labels and just leave the numbers. To get the answer we just evaluate To do that take this expression {.85,.15}.MatrixPower({{.93,.07},{.01,.99}},5) over to Wolfram and let me know what you get. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #16 20130330 23:30:49
Re: rat run probability'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #17 20130330 23:37:01
Re: rat run probabilityThat is very good. That says the first element is the percentage in the city and the second element, the percentage in the suburbs. Now your answer was That says 60.28% are in the city and 39.71% are now living in the suburbs after 5 years. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #18 20130330 23:40:10
Re: rat run probabilityOk 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #19 20130330 23:45:34
Re: rat run probabilityThis is a pretty dry example that only touches the surface of what they can do. A real problem would be much larger and more meaningful. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #20 20130330 23:49:59
Re: rat run probabilityOh! So it is a way to do a chain of calculations quickly with matrices? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #21 20130330 23:52:30
Re: rat run probabilityYes, it is like condensing a whole tree down to just a box of numbers. Also it can contain a tree that has an infinite number of levels, branches and nodes. One that you could never draw... In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #22 20130330 23:56:48
Re: rat run probabilityHow to setup the simulation for this problem? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #23 20130331 00:01:49
Re: rat run probabilityHi; I spoke to soon before, there might be a way to simulate this process. We will talk about it when I get back. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #24 20130331 01:08:10
Re: rat run probabilitySorry for the confusion, I meant : the simulation approach for the OP's problem 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #25 20130331 03:41:48
Re: rat run probabilityWhich part? There are a lot of questions that the OP wanted answers to. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 