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

You are not logged in. #1 20121220 04:31:42
binomialhow can we prove 2n choose n is always even? I see you have graph paper. You must be plotting something #4 20121220 09:48:08
Re: binomialso because i have a 2 * 2n1 choose n, it is bound to be even? I see you have graph paper. You must be plotting something #5 20121220 09:56:30
Re: binomialHi; 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. #6 20121221 05:05:25
Re: binomialAnother problem: What are the coefficients of $ f(t1) $? Enter your answer as an ordered list of four numbers. For example, if your answer were $ f(t1) = t^3+3t^22t+7 $, you'd enter (1,3,2,7). (This is not the actual answer.) I see you have graph paper. You must be plotting something #8 20121221 14:33:22
Re: binomialthank you. I have another question: I see you have graph paper. You must be plotting something #9 20121221 15:11:44
Re: binomialI'm getting the same as bobbym. It sometimes helps to write the original function in terms of Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #10 20121221 19:39:17
Re: binomialHi cooljackiec;
I am getting 316251. 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. #11 20121221 20:07:44
Re: binomialOn the other hand, I am getting 5^50. 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 #12 20121221 20:39:53
Re: binomial5^50 = 88817841970012523233890533447265625 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. #13 20121221 20:42:05
Re: binomialEach member has 5 chiloices. There are 50 members, or 46 if you exclude the ones who are running for president. 5 votes per person, 46 persons, 5^46 possible vote 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 #14 20121221 20:47:03
Re: binomialHi; 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. #15 20121221 21:02:36
Re: binomialActually, you must have 4 spacers... 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 #16 20121221 21:04:25
Re: binomial3 spacers, because you are looking for solutions to the three spacers make 4 separte groups. Each group is how many is in a variable. xxxxxxxxxxxxx _ xxxxxxxxxxxxxxxxx _ xxxxxxxxxx _ xxxxxxxxxx this corresponds to the solution 13 + 17 + 10 + 10 = 50 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 20121221 21:38:00
Re: binomialThere are 5 groups, votes for 1st, 2nd, 3rd and 4th candidate and the nonvoters... 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 #18 20121221 21:42:48
Re: binomialThe non voters are not a candidate. They are represented by different values of r. For instance when there is one non voter the equation is 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. #19 20121221 21:46:37
Re: binomialIt is easier to look at them as a special category of voters: where n are the nonvoters. There are then . 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 #20 20121221 21:53:59
Re: binomialHi; 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. #21 20121222 05:25:31
Re: binomialExactly! 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 #22 20121222 05:30:30
Re: binomialExactly?
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. #23 20121222 05:43:26
Re: binomialI never said it was perfect... I only agreed that it is much easier to calculate... 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 #24 20121222 05:46:06
Re: binomialTrue, but there could be an even easier way... 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. #25 20121223 05:17:17
Re: binomialit is wrong. I see you have graph paper. You must be plotting something 