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Suppose that for some point on a surface, we know , , , , , , , and . Is there a way to apply a rotation to all these values—especially the mixed ones?
I know directional derivatives can be calculated from and , and double directional derivatives can be calculated from the Hessian matrix. But is there a similar way to find the corresponding mixed derivatives? -- benadhem ( talk) 00:56, 25 June 2012 (UTC)
transforms as a tensor under orthogonal transforms. Count Iblis ( talk) 19:38, 25 June 2012 (UTC)
I had always been under the impression that Harmonic analysis and Fourier analysis were two different terms for exactly the same branch of mathematics, but I have just noticed that they are two different articles on Wikipedia. However, their descriptions do seem very similar (and if they are different, they are obviously closely related). Is there a difference between Harmonic and Fourier analysis? Widener ( talk) 06:29, 25 June 2012 (UTC)
Mathematics desk | ||
---|---|---|
< June 24 | << May | June | Jul >> | June 26 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Suppose that for some point on a surface, we know , , , , , , , and . Is there a way to apply a rotation to all these values—especially the mixed ones?
I know directional derivatives can be calculated from and , and double directional derivatives can be calculated from the Hessian matrix. But is there a similar way to find the corresponding mixed derivatives? -- benadhem ( talk) 00:56, 25 June 2012 (UTC)
transforms as a tensor under orthogonal transforms. Count Iblis ( talk) 19:38, 25 June 2012 (UTC)
I had always been under the impression that Harmonic analysis and Fourier analysis were two different terms for exactly the same branch of mathematics, but I have just noticed that they are two different articles on Wikipedia. However, their descriptions do seem very similar (and if they are different, they are obviously closely related). Is there a difference between Harmonic and Fourier analysis? Widener ( talk) 06:29, 25 June 2012 (UTC)