Difference between revisions of "Cauchy-schwarz inequality"
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Revision as of 00:19, 18 June 2006
Consider the quadratic, . Expanding, we find the equation to be of the form , where , , and The equation will have a solution when the discriminant is greater than or equal to 0, so . Substituting the above values of A, B, and C leaves us with the Cauchy-Schwarz Inequality, which states that , or, in the more compact sigma notation,