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, thus there exist vs if the decoder reveived

The two phrases are not directly comparable as they serve different purposes. The first phrase is correct when discussing the existence of something, while the second phrase seems to contain a typo and is not a complete sentence.

Last updated: March 08, 2024 • 718 views

, thus there exist

This phrase is correct when discussing the existence of something in a formal or academic context.

This phrase is used to assert the presence or existence of something in a formal or academic discussion.
  • 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.
  • 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, ...
  • Jul 9, 2012 ... From Irrationality of Logarithm, is irrational. Therefore is irrational. Thus there exist two irrational numbers and such that is rational. Retrieved ...
  • 4036 where h(y1,y2,y3,y4) is a 4-variable bent function. Thus there exist Boolean functions having nonlinearity > 2n−1 − 2 n−1. 2 for n = 9,11,13. Keeping this in ...

if the decoder reveived

This phrase seems to contain a typo and is not a complete sentence.

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