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Title: Factorial Sum Post by ThudnBlunder on Feb 15th, 2011, 2:14pm 49 Evaluate if you please http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/sum.gif(-1)k C(99,2k) = C(99,0) - C(99,2) + C(99,4) - ......... + C(99,96) - C(99,98) k=0 |
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Title: Re: Factorial Sum Post by towr on Feb 16th, 2011, 9:46am [hide] [ http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/sum.gif99 C(99,k) k=0 ik + http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/sum.gif99k=0 C(99,k) (-i)k ]/2 [(1+i)99 + (1-i)99]/2 {[http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/surd.gif2 epi/4 i]99 + [http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/surd.gif2 e-pi/4 i]99}/2 http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/surd.gif297 [e99 pi/4 i + e-99 pi/4 i] http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/surd.gif297 [e3 pi/4 i + e-3 pi/4 i] - http://www.ocf.berkeley.edu/~wwu/YaBBImages/symbols/surd.gif298 - 249 [/hide] |
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Title: Re: Factorial Sum Post by ThudnBlunder on Feb 16th, 2011, 10:31am Nicely done, towr. :) |
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