There exists some vs there exist some

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there exists some is the most popular phrase on the web. 

there exist some

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there exists some

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Some examples and use cases from the internet:

Some examples and use cases from the internet:

  • powers of context free languages which are \({\bf \Pi}_n^0\)
  • It has been recently proved that for each integer n ? 1, there exist some ?
  • complete Borel sets ...
  • Aug 15, 2013 ... As the title: does there exist some relations between Functional Analysis and Algebraic Topology. As we have known, the tools developed in ...
  • Oct 11, 2015 ... Does there exist some sort of "master list" of which games have good SLI/ crossfire profiles? (self.pcgaming). submitted 18 days ago by ...
  • Dec 30, 2014 ... Does there exist some relations between Cryptography and Algebraic ... Does there exist some relations between Functional Analysis and ...
  • Proof: Since f is continuous on [a, b], so is ?f. Therefore, by the theorem proved in class, ?f attains its maximum value: there exists some x0 ? [a, b] such that.
  • ... via email, Google+, Twitter, or Facebook. Have something to add? Similar discussions for: (for all x, Px) implies (there exists some x, Px)?
  • We will show that g is a function. As f is surjective, for every b ? B, there exists a ? A with f(a) = b. Thus, for any b ? B, there exists some a ? A with (b, a) ? g.
  • Sep 30, 2014 ... How to prove that for all x there exists some y where ( x 2 + y 2 ? 0 ) ? up vote 0 down vote favorite. How can I prove that ? x ? y , ( x 2 + y 2 ...

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