--- lastmod: "2021-09-12T22:47:44.0000000+01:00" author: patrick categories: - mathematics comments: true date: "2017-02-14T00:00:00Z" aliases: - /cauchy-schwarz-proof/ title: Proof of Cauchy-Schwarz --- This is just a link to a [beautiful proof][proof] of the [Cauchy-Schwarz inequality][CS]. There are a number of elegant proofs, but this is by far my favourite, because (as pointed out in the paper) it "builds itself". [CS]: https://en.wikipedia.org/wiki/Cauchy%E2%80%93Schwarz_inequality [proof]: http://www-stat.wharton.upenn.edu/~steele/Publications/Books/CSMC/New%20Problems/CSNewProof/CauchySchwarzInequalityProof.pdf