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

You are not logged in. #326 20051227 14:18:08
Re: Problems and SolutionsSolution to problem # k + 73 is correct! Well done, krassi_holmz! Character is who you are when no one is looking. #327 20051227 17:37:47
Re: Problems and Solutionskrassi_holmz, I am not fully convinced by your proof (solution to Problem # k + 28), although you seem to be on the right track. The reason, I think, is I am unable to follow what you intend conveying. Maybe, you have got the full proof in your mind but had not posted it. I shall wait (for a week) for amendment from you, or proof by someone else before I post the solution. Character is who you are when no one is looking. #328 20051227 17:46:54
Re: Problems and Solutions
Last edited by krassi_holmz (20051227 17:49:07) IPBLE: Increasing Performance By Lowering Expectations. #329 20051227 18:16:16
Re: Problems and Solutionskrassi_holmz, you get this Character is who you are when no one is looking. #330 20051228 15:36:38
Re: Problems and SolutionsProblem # k + 75 Character is who you are when no one is looking. #331 20051228 21:40:59
Re: Problems and Solutions
IPBLE: Increasing Performance By Lowering Expectations. #332 20051228 21:42:03
Re: Problems and SolutionsYesterday I solved two of the unsolved problems. When i have time, i'll post the solutions. IPBLE: Increasing Performance By Lowering Expectations. #333 20051228 21:47:58
Re: Problems and Solutionsk+28 . Let write n^2! ia the same way: . To proof that n!^n/n^2! it is enough to proof that ... Now we will use a theorem from the numeric theory: The biggest power of the prime number p that divides n! is exactly , where [x] means Floor(x). Now we are using it: Now, at last, we will prove that We use the following: If n ∈ N and x ∈ R then [nx]=[n([x]+{x})]=[n[x]+n{x}]=n[x]+[n{x}] >= n[x]; so => <=> => . Last edited by krassi_holmz (20051228 23:12:15) IPBLE: Increasing Performance By Lowering Expectations. #334 20051228 22:35:46
Re: Problems and SolutionsAnd for k+47 IPBLE: Increasing Performance By Lowering Expectations. #335 20051228 22:40:17
Re: Problems and Solutionsk+48: IPBLE: Increasing Performance By Lowering Expectations. #336 20051228 22:48:36
Re: Problems and Solutionshere is a picture: IPBLE: Increasing Performance By Lowering Expectations. #337 20051228 23:17:51
Re: Problems and SolutionsTriangle MHO is simular to triangle OHB. Last edited by krassi_holmz (20051228 23:19:16) IPBLE: Increasing Performance By Lowering Expectations. #338 20051229 14:53:30
Re: Problems and Solutionskrassi_holmz, your solution to problem # k + 75 is correct. Well done. Character is who you are when no one is looking. #339 20051229 19:48:44
Re: Problems and Solutions
IPBLE: Increasing Performance By Lowering Expectations. #340 20051229 19:56:02
Re: Problems and SolutionsThe clock: Last edited by krassi_holmz (20051229 20:03:21) IPBLE: Increasing Performance By Lowering Expectations. #341 20051229 19:58:08
Re: Problems and SolutionsPlease post a proof of k+28 Please! It must be more prime than mine! IPBLE: Increasing Performance By Lowering Expectations. #342 20051229 20:03:26
Re: Problems and Solutionskrassi_holmz, you've made some mistake. Check your solution to problem # k + 76 again. The angle is obtuse. Character is who you are when no one is looking. #343 20051229 20:11:01
Re: Problems and SolutionsI'll try different way. IPBLE: Increasing Performance By Lowering Expectations. #344 20051229 20:29:13
Re: Problems and SolutionsYou are correct, krassi_holmz! Its much simpler working on degrees than on radians. Character is who you are when no one is looking. #345 20051229 21:31:30
Re: Problems and SolutionsYes, the mistake in pirst proof is from the redians. IPBLE: Increasing Performance By Lowering Expectations. #346 20051229 21:38:53
Re: Problems and SolutionsSometimes the degrees are better than the radians... IPBLE: Increasing Performance By Lowering Expectations. #347 20051229 21:39:55
Re: Problems and Solutionssqr(Phi)=1.272019650... IPBLE: Increasing Performance By Lowering Expectations. #348 20060103 15:27:23
Re: Problems and SolutionsProof : Problem # k + 28 Character is who you are when no one is looking. #349 20060103 20:34:39
Re: Problems and SolutionsProblem # k + 77 Character is who you are when no one is looking. #350 20060103 20:43:25
Re: Problems and SolutionsK+28it was very simple! IPBLE: Increasing Performance By Lowering Expectations. 