Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #176 20120503 07:31:45
Re: Generating FunctionsCorrect! So what is the problem? 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. #177 20120503 07:35:30
Re: Generating FunctionsNothing. You asked me to post it. I asked you then if you can post a more complicated one. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #178 20120503 07:36:30
Re: Generating FunctionsNope! You know how to do it. They do not get more complicated than that in books. 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. #179 20120503 07:39:27
Re: Generating FunctionsCan't you think of one? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #180 20120503 07:41:16
Re: Generating FunctionsThat is the prototypical problem for that type that appears in books. It tests your ability to form the generating function. You can do it. There are two things left... 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. #181 20120503 07:44:40
Re: Generating FunctionsWhich two things? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #182 20120503 07:45:28
Re: Generating Functions1) Getting the coefficient. 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. #183 20120503 07:49:31
Re: Generating FunctionsOkay. The coeff can be found in two ways: The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #184 20120503 07:51:09
Re: Generating Functions2) There are many other ways. gAr and I have discussed them. 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. #185 20120503 07:52:38
Re: Generating FunctionsI know. I am saying that it is mostly intuition (gained by experience of course) that determines wheter ir not GFs should be used. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #186 20120503 07:55:20
Re: Generating FunctionsNo one can say. A brilliant guy I know asked whether every combinatoric question could be put into the form of a generating function. He posted that question to the best of the best of the best. He got no reply. 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. #187 20120503 07:58:18
Re: Generating FunctionsIf the answer is yes,then we should be able to find a GF for juan's matrix problem. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #188 20120503 08:00:43
Re: Generating Functions
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. #189 20120503 08:03:58
Re: Generating FunctionsHow lucky would I have been to ever have met Pappym. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #190 20120503 08:06:10
Re: Generating FunctionsHe was the greatest m that ever lived. 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. #191 20120503 08:08:54
Re: Generating FunctionsGreater than Grandpappym? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #192 20120503 08:13:19
Re: Generating FunctionsGrandPappym was little more than a beast posing as a man. Tremendously strong and powerfully built. He used his strength to dominate people.
He was also rebellious in his youth. Unfocused and impatient, sort of like Luke Skywalker. 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. #193 20120503 08:16:19
Re: Generating FunctionsWow,that really does sound like me! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #194 20120503 08:17:16
Re: Generating FunctionsYes, you do. Congratulations. 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. #195 20120503 08:19:21
Re: Generating FunctionsThank you,but it is not the number that counts. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #196 20120503 08:23:13
Re: Generating FunctionsWe had that discussion a long time ago. 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. #197 20120503 08:25:50
Re: Generating FunctionsYes. We had it twice. I do not remember the conclusions though. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #198 20120503 08:27:18
Re: Generating FunctionsNo the discussion I am talking about was before you were a member. I was the lightweight in the group and no one paid any attention to what I said. 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. #199 20120503 08:29:27
Re: Generating FunctionsDo you know where that discussion is. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #200 20120503 08:34:39
Re: Generating FunctionsIn 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. 