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You are not logged in. #1 20080101 21:10:07
How many solutionsHow many solutions does the equation have on the set of positive integers? #2 20080102 00:54:05#3 20080102 01:31:02
Re: How many solutions0, 1, 99 Character is who you are when no one is looking. #4 20080102 02:08:46
Re: How many solutionsNo, the list is finite. Also, I think x, y, z must be positive, not 0. #5 20080102 02:26:52
Re: How many solutionsAll right. When x = 1, y can be any integer from 1 to 98. When x = 2, y can be any integer from 1 to 97. When x = 3, y can be any integer from 1 to 96. And so on, until when x = 98, y can only be 1. Once x and y have been chosen, the value of z is determined. Hence it looks like the total number of solutions is 98 + 97 + … + 2 + 1 = 4851. Last edited by JaneFairfax (20080102 02:29:15) #6 20080102 02:30:07
Re: How many solutionsReminds me of the base of a pyramid with the origin as the apex and igloo myrtilles fourmis #7 20080102 02:58:04
Re: How many solutionsHere's another way of looking at it: Why did the vector cross the road? It wanted to be normal. #8 20080102 05:06:57#9 20080102 07:29:55
Re: How many solutionsCool Neat Awesome!! Last edited by John E. Franklin (20080104 06:47:44) igloo myrtilles fourmis #10 20080102 18:48:16
Re: How many solutionsYes nice answer mathsy! This is a really important method for answering questions like: Last edited by Identity (20080102 18:50:44) #11 20110729 00:37:37
Re: How many solutions"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #12 20110729 00:41:59
Re: How many solutionshi gAr 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 #13 20110729 00:54:27
Re: How many solutionsHi anonimnystefy, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #14 20110729 00:58:52
Re: How many solutionsthank for the link. 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 #15 20110729 01:00:56
Re: How many solutions
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 20110729 01:10:18
Re: How many solutionswho is wilf? 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 #17 20110729 01:12:57
Re: How many solutionsThe author of Generatingfunctionology, the first two chapters are about the best there is. After that it stiffens up. 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 20120503 09:32:35
Re: How many solutionsAhhhh... How many stupidities have came from me. The answer looks so simple now... 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 