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Results tagged with cauchy-schwarz-inequality
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The Cauchy-Schwarz inequality states $|\langle x,y \rangle |\leq ||x||\cdot ||y||.$ Use this tag for questions related to the CS inequality and its applications.
26
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5
answers
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Cauchy-Schwarz and pigeonhole
I've occasionally heard it stated (most notably on Terry Tao's blog) that "the Cauchy-Schwarz inequality can be viewed as a quantitative strengthening of the pigeonhole principle." I've certainly seen …
- 12.6k
21
votes
1
answer
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Is there a combinatorial proof of Cauchy-Schwarz?
I've only played with this a little for the past day or so, and haven't thought about it too hard, so it might be obvious. Obviously it's not fair to ask for a "combinatorial proof" of an inequality i …
- 12.6k