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You are not logged in. #1 20090915 07:58:19
Integral and inequalityHi; Prove the inequality: 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. #2 20090915 08:12:44
Re: Integral and inequalityAre we allowed to express the LHS of the inequality as a Taylor series? If so, the problem becomes trivial. Why did the vector cross the road? It wanted to be normal. #3 20090915 08:28:28
Re: Integral and inequalityHi mathsyperson; Last edited by bobbym (20090915 09:42:02) 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. #4 20090915 10:43:51
Re: Integral and inequalityEver seen this theorem? Let be convex and differentiable. Then So you just put and . (What I’m saying is that no point on a convex and differentiable curve lies below the corresponding point on a straight line that is tangent to any part of the curve.) PS: I just looked up Wikipedia. This theorem is stated there without proof. Last edited by JaneFairfax (20090915 10:56:36) #5 20090915 11:07:40
Re: Integral and inequality
The inequality holds for as well, in which case the method will not be trivial for .And note that there is an apostrophe in That’s. #6 20090915 14:21:12
Re: Integral and inequalityHello Jane;
But the problem states x > 0 and mathsy is right using the expansion of e^x makes it trivial.
That is true Jane, poor typing and high speeds, a lethal combination. Thanks for the correction.
Yes Jane, I have heard of that theorem but I forgot it. Last edited by bobbym (20090915 16:23:55) 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. #7 20090916 05:36:20
Re: Integral and inequalityHi; 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. #8 20090925 22:11:45
Re: Integral and inequalityHi; 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. #9 20090925 23:06:15#10 20090926 09:13:48
Re: Integral and inequalityHi Jane; Last edited by bobbym (20090926 09:14:14) 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 20100929 05:36:42
Re: Integral and inequality
(e^2x)/2  (e^2x)/2 #12 20100929 05:41:17
Re: Integral and inequality
1/2[x  log(sinx + cosx)] #13 20100929 06:24:31
Re: Integral and inequalityHi 123ronnie321; 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. #14 20110330 22:05:19
Re: Integral and inequalityHi bobbym,
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #15 20110330 22:49:54
Re: Integral and inequalityHi gAr; 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. #16 20110330 23:07:52
Re: Integral and inequalityThank you! "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #17 20110330 23:13:01
Re: Integral and inequalityHI gAr; 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. 