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You are not logged in. Pages: 1 #1 20121029 01:43:12
maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1Hi, #2 20121029 01:52:16
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1Hi engrymbiff; 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. #3 20121030 04:51:48
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1As #4 20121030 08:37:36
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1I did not have much luck with it either, perhaps they want you to do it by an 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. #5 20121104 07:24:50
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1Help from someone? #6 20121113 19:57:27
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1I'll give it one more bump. Please help me out here anyone #7 20121113 22:40:47
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1I don't know if this method is acceptable but I suppose we could argue like this. First, we take so all the factors in the product will be positive. And as we want the product to be as big as possible, we take to be as big as possible and to be as small as possible; thus we have As the expression is now antisymmetrical in and , we can let (so is as large as possible); thus we have Now you can maximize using normal calculus methods. Last edited by scientia (20121113 22:51:01) #8 20121114 07:31:34
Re: maximize (ab)(ac)(ad)(bc)(bd)(cd) s.t. 1 <= a, b, c, d <= 1Hi; 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. Pages: 1 