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You are not logged in. #1 20130816 10:52:46
hockey stick identity proofIn class we studied the identity \displaystyle\binom{r}{r}+\binom{r+1}{r} +\binom{r+2}{r} + \cdots +\binom{n}{r} = \binom{n+1}{r+1} We also took a glimpse at \displaystyle\binom{r}{0}+\binom{r+1}{1} +\binom{r+2}{2} + \cdots +\binom{n}{nr} = \binom{n+1}{nr}. We will now take a closer look at this second identity. Genius is one percent inspiration and ninetynine percent perspiration #2 20130816 17:20:13
Re: hockey stick identity proofHi; 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. #3 20130817 03:13:28
Re: hockey stick identity proofsrry, i used latex, i will change it to regular english Genius is one percent inspiration and ninetynine percent perspiration #4 20130817 03:16:37
Re: hockey stick identity proofIn class we studied the identity combination{r}{r}+combination{r+1}{r} +combination{r+2}{r} + ... +combination{n}{r} = combination{n+1}{r+1} We also took a glimpse at combination{r}{0}+combination{r+1}{1} +combination{r+2}{2} +... +combination{n}{nr} = combination{n+1}{nr}. We will now take a closer look at this second identity. Genius is one percent inspiration and ninetynine percent perspiration #5 20130817 03:17:51
Re: hockey stick identity proofcombination{x}{y} means x combination y Genius is one percent inspiration and ninetynine percent perspiration #6 20130817 03:25:32
Re: hockey stick identity proofI know that.
It is totally unreadable on my browser 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 20130818 02:45:44
Re: hockey stick identity proofi will change it Genius is one percent inspiration and ninetynine percent perspiration #8 20130818 02:51:53
Re: hockey stick identity proofIn class we studied the identity (r) combination (r) + (r+1) combination (r) +(r+2) combination (r) + ... + (n) combination (r) = (n+1) combination r+1 We also took a glimpse at (r) combination (0) + (r+1) combination (1) +(r+2) combination (2) +... +(n) combination (nr) = (n+1) combination (nr). We will now take a closer look at this second identity. Genius is one percent inspiration and ninetynine percent perspiration #9 20130818 02:55:32
Re: hockey stick identity proofHi; 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 20130818 09:41:29
Re: hockey stick identity proofi didn't know how to do it Genius is one percent inspiration and ninetynine percent perspiration #11 20130818 11:37:09
Re: hockey stick identity proofHi; 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 20130822 10:15:22
Re: hockey stick identity proofi think i got it Genius is one percent inspiration and ninetynine percent perspiration #14 20130822 10:16:29
Re: hockey stick identity proofnever mind i didn't get it Genius is one percent inspiration and ninetynine percent perspiration #15 20130822 10:18:08
Re: hockey stick identity proofhow do you substitute it Genius is one percent inspiration and ninetynine percent perspiration #16 20130822 10:45:17
Re: hockey stick identity proof
You want to prove this identity for n=5, r=2 and for n=7, r=3? 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. #17 20130824 13:44:21
Re: hockey stick identity proofyes please, but i don't know how to Genius is one percent inspiration and ninetynine percent perspiration #18 20130824 14:58:54
Re: hockey stick identity proofAs near as I can understand it, for n=5, r=2. We are done. For n=7, r=3. We are done. 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. 