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suplixia(feixiaolin´ú·¢): ½ð±Ò+1 2014-11-24 07:40:45
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2Â¥: Originally posted by zaq123321 at 2014-11-22 01:11:45
Can we consider the following example?
Let f(x,y) = x^2+y^2-2xy in ^2.  Then f(x,y) is a strictly increasing function of x or y. How about the maximum or minimum. (1,0) or (0,1) are both maximal po ...

f(x,y) = x^2+y^2-2xy is not a strictly increasing function of x in [0,1]^2, since f_x=2x-2y changes sign when x > y.
4Â¥2014-11-23 11:18:29
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suplixia(feixiaolin´ú·¢): ½ð±Ò+1 2014-11-24 07:40:32
Can we consider the following example?
Let f(x,y) = x^2+y^2-2xy in [0,1]^2.  Then f(x,y) is a strictly increasing function of x or y. How about the maximum or minimum. (1,0) or (0,1) are both maximal points.
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2Â¥2014-11-22 01:11:45
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suplixia(feixiaolin´ú·¢): ½ð±Ò+1 2014-11-24 07:40:40
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