Comments on: Tricks Wiki: Use basic examples to calibrate exponents
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoSat, 29 Dec 2012 21:04:51 +0000
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By: A mathematical formalisation of dimensional analysis « What’s new
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-211408
Sat, 29 Dec 2012 21:04:51 +0000http://terrytao.wordpress.com/?p=1216#comment-211408[…] this inequality, as a necessary condition for (5). (See also this blog post for an equivalent way to establish these conditions, using rescaled test functions instead of […]
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By: Qiaochu Yuan
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34518
Wed, 31 Dec 2008 10:18:32 +0000http://terrytao.wordpress.com/?p=1216#comment-34518Lovely! I realized some time ago that the test case in Example 1 applied to 1/(1 – x^n) can also be used to extract the coefficients of the DFT matrix of order n, but using it to extract the coefficients of the Lagrange interpolating polynomial is sneaky.
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By: \sqrt[4]{3}
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34495
Tue, 30 Dec 2008 13:55:06 +0000http://terrytao.wordpress.com/?p=1216#comment-34495It would be better to clarify the Riemann Hypothesis, e.g.,
by finding only two zeros which are not on 1/2.
Happy New Year!
Symbolic Logic
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By: daoguozhou
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34490
Tue, 30 Dec 2008 09:18:00 +0000http://terrytao.wordpress.com/?p=1216#comment-34490The beautiful article clarifies something in PDE. In my opinion, Tricks Wiki is of great help to graduate students like me.
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By: tmr
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34434
Sun, 28 Dec 2008 01:31:41 +0000http://terrytao.wordpress.com/?p=1216#comment-34434Ok, I understand now. You extended the definition of LHS for negative n as well.
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By: tmr
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34429
Sat, 27 Dec 2008 21:26:41 +0000http://terrytao.wordpress.com/?p=1216#comment-34429In example 1, can you please elaborate on how you can take n=-1 as an example? Can you take n=-2?
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By: Carl
https://terrytao.wordpress.com/2008/12/27/tricks-wiki-use-basic-examples-to-calibrate-exponents/#comment-34414
Sat, 27 Dec 2008 09:16:31 +0000http://terrytao.wordpress.com/?p=1216#comment-34414Hi,

In example 1 the integral of x^2 from 0 to n should be n^3/3. [Corrected, thanks. – T.]