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assume (for simplicity) that vs the proof of that is provided

assume (for simplicity) that vs the proof of that is provided which is much better to use in a sentence. Which is more popular in English form?

Looking on the internet deeply has found these results:

assume (for simplicity) that is the most popular phrase on the web.

the proof of that is provided

12 results on the web

assume (for simplicity) that

137,300 results on the web

More popular!

Some examples and use cases from the internet:

Some examples and use cases from the internet:

  • Jun 8, 2005 ... rability property that characterizes (6) and (7). The proof of that is provided in Appendix. A. We now suppose that leisure and goods are superior ...
  • May 24, 2014 ... The proof of that is provided by the results of. FOUN. ORGANIZATIONS CAN EXPECT A RETURN. PURCHASE PRICE OF THE SIMULATO.
  • torus knot with q > p > 0, we assume for simplicity that K is a (2,3)
  • Also assume for simplicity that ACK packets are extremely small and can be ignored. (a) At least how big would the window size (in packets) have to be for the ...
  • Although our considerations will work for any (p, q)
  • torus knot, in order to keep the arguments ...
  • Consider two random variables X and Y . Assume for simplicity that they both have zero mean. (a) Show that X and E[X | Y ] are positively correlated. (b) Show  ...
  • Equilibrium in Perfectly Competitive Markets. (Assume for simplicity that all firms have access to the same technology and input markets, so they all have the ...

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