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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

, 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.

if the decoder reveived

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

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