Comments on: Amplification, arbitrage, and the tensor power trick
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoWed, 18 Jan 2017 13:33:31 +0000hourly1http://wordpress.com/By: 246A, Notes 2: complex integration | What's new
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-472641
Tue, 27 Sep 2016 18:52:53 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-472641[…] eliminate this loss we can amplify the above argument by exploiting phase rotation. For any real , we can repeat the above arguments […]
]]>By: 275A, Notes 1: Integration and expectation | What's new
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-460068
Sat, 03 Oct 2015 22:58:57 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-460068[…] looks weaker than what we want to prove, but we can “amplify” this inequality to the full strength triangle inequality as follows. Replacing by for any […]
]]>By: 254A, Notes 3: The large sieve and the Bombieri-Vinogradov theorem | What's new
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-451971
Mon, 16 Feb 2015 01:03:14 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-451971[…] that the additional term could be deleted by an amplification trick similar to those discussed in this previous post). See this survey of Montgomery for these results and on the (somewhat complicated) evolution of […]
]]>By: Inequalities Using Symmetries | Ah, Math?
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-356155
Thu, 29 May 2014 17:42:56 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-356155[…] by Terence Tao’s post about amplification of inequalities (https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/) I will give a quick proof of the AM-GM inequality, which says that for any sequence of […]
]]>By: Inequalities Using Symmetries | Ah, Math?
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-356110
Thu, 29 May 2014 16:32:00 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-356110[…] by Terence Tao’s post about amplification of inequalities (https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/) I will give a quick proof of the AM-GM inequality, which says that for any list of nonnegative […]
]]>By: Real stable polynomials and the Kadison-Singer problem | What's new
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-249985
Mon, 04 Nov 2013 21:49:16 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-249985[…] case of the Kadison-Singer paving conjecture, but we may use a number of standard maneuvers to amplify this to the full paving conjecture, loosely following the papers of Popa and of Akemann-Weaver. […]
]]>By: Cauchy-Schwarz Inequality (and Amplification) | Math ∩ Programming
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239491
Wed, 24 Jul 2013 01:33:48 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239491[…] the same. What makes this proof stand out is its insightful technique, which I first read about on Terry Tao’s blog. He calls it “textbook,” and maybe it is for an analyst, but it’s still very […]
]]>By: Stones Cry Out - If they keep silent… » Things Heard: e266v1
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239344
Mon, 22 Jul 2013 14:01:01 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239344[…] A maths trick in narrative form. […]
]]>By: Monday Highlights | Pseudo-Polymath
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239342
Mon, 22 Jul 2013 13:59:43 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-239342[…] A maths trick in narrative form. […]
]]>By: Strengthening inequalities: a mathematical trick | Abstract Art
https://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-228788
Sat, 11 May 2013 06:06:42 +0000http://terrytao.wordpress.com/2007/09/05/amplification-arbitrage-and-the-tensor-power-trick/#comment-228788[…] [1.9] Amplification, arbitrage, and the tensor power trick […]
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