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

You are not logged in. #276 20130402 03:25:07
Re: ExpectationCorrect a Mundo! One of the cornerstones of experimental mathematics. 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. #277 20130402 03:26:03
Re: ExpectationIt seems the the denominator is always a power of the number of bins, as expected. 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 #278 20130402 03:27:27
Re: ExpectationNow you only have to work on the numerators. And they are integers. 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. #279 20130402 03:31:15
Re: ExpectationBut, some of the numerator might have to be multiplied by a factor. 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 #280 20130402 03:34:03
Re: ExpectationWhy do you say that? 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. #281 20130402 03:36:16
Re: ExpectationBecause it might be lost when the denominator and the numerator are canceled. 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 #282 20130402 03:39:11
Re: ExpectationVery good, you are correct. 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. #283 20130402 03:41:18
Re: ExpectationBut, it is hard to figure out what the factor is for each of those fractions... What do we do 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 #284 20130402 03:43:23
Re: ExpectationIf you know that the denominators were powers of 3, you should be able to reconstruct the numerators. 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. #285 20130402 03:51:41
Re: ExpectationBut, the trouble is that for 3 bins and 5 balls needed, the denominator is greater than 3^4... 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 #286 20130402 03:56:10
Re: ExpectationIt seems that cancellation is not the problem. 9^3, 9^7 ... is gone! 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. #287 20130402 04:07:01
Re: ExpectationI think the denominators have to form the series 3^(3*(k1)). 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 #288 20130402 04:11:08
Re: ExpectationHi; 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. #289 20130402 04:17:07
Re: ExpectationI am sure the denominators have to be of the form 3^(3*(k1)). 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 #290 20130402 04:23:41
Re: ExpectationThat produces this table: You can see what was cancelled from each one and put it back. 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. #291 20130402 04:32:03
Re: ExpectationYes. So, the factors we need to multiply the numerator by are {1,3,9,3,9}. 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 #292 20130402 04:36:55
Re: ExpectationYou could try that. Try to read as much of the help as you can for the next couple of days. 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. #293 20130402 04:39:15
Re: ExpectationOkay, see you later! 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 #294 20130402 07:16:17
Re: ExpectationHad to pay some bills and the rent. 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. #295 20130402 07:29:29
Re: ExpectationOkay. OEIS has nothing on our numerator sequence... 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 #296 20130402 07:34:49
Re: ExpectationHow about going across instead of down? 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. #297 20130402 08:07:59
Re: ExpectationI haven't tried. I will tomorrow, because I am watching Doctor Who 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 #298 20130402 08:14:30
Re: ExpectationOkay that is fine, I am going to get some sleep. 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. #299 20130402 08:23:14
Re: ExpectationOkay, see you later! 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 #300 20130402 14:42:25
Re: Expectation
Even after you adjusted the numerators for the missing 3's? 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. 