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

You are not logged in. #1 20121227 07:39:41
n! = ...Can any n! be represented by a sum of natural numbers {a[1], a[2], a[3] ...} raised to any power such that a[i] ≠ a[j] and 0 < a[i],a[j] <= n for all i and j? Last edited by pellerinb (20121227 07:42:02) Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #2 20121227 07:41:20
Re: n! = ...They can. Just pad it up with 1's. 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 #3 20121227 07:42:34
Re: n! = ...hense the edit, anonimnystefy. Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #4 20121227 07:45:20
Re: n! = ...I think all numbers can be represented that way, not only factorials... But that is just a conjecture, I do not have a proof... 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 #5 20130123 01:26:34
Re: n! = ...I need to know the pattern for n! because I am so confused.  n872yt3r Math Is Fun Rocks! By the power of the exponent, I square and cube you! #6 20130123 02:13:17
Re: n! = ...
Please give an example 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #7 20130123 02:27:04
Re: n! = ...He is representing factorials. The question does not seem to make sense for other numbers. 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. 