, thus there exist vs if the decoder reveived

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, thus there exist is the most popular phrase on the web. 

if the decoder reveived

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, thus there exist

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  • Thus there exist integers a,b ? Z for which a2 ?4b = 2. From this equation we get a2 = 4b+2 = 2(2b+1), so a2 is even. Since a2 is even, it follows that a is even, ...
  • variable bent function. Thus there exist Boolean functions having nonlinearity > 2n?1 ? 2 n?1. 2 for n = 9,11,13. Keeping this in ...
  • 4036 where h(y1,y2,y3,y4) is a 4
  • Oct 5, 2014 ... Hence, in the set , there are two numbers and , with , that have the same remainder when they are divided by . Thus, there exist , with , such that.
  • Jul 9, 2012 ... From Irrationality of Logarithm, is irrational. Therefore is irrational. Thus there exist two irrational numbers and such that is rational. Retrieved ...

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