Number Theory | Linear Congruences Proposition 2

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We give the proof of a proposition regarding the number of solutions of a linear congruence.

  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. Randolph College
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Комментарии
Автор

Professor Penn, thank you for analyzing and explaining Linear Congruences in introductory Number Theory.

georgesadler
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This and next video out of order in this short playlist "Modular Arithmetic and Linear Congruences" FYI. Much appreciated videos!!

programstix
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Thank you very much sir, I'm truly being helped by your videos

adrilmanurung
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Congruence? More like con-fluence, of a bunch of amazing information! Thanks again so much for making and posting these videos!

PunmasterSTP
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How to solve linear congruence using Diophantine eq

snipergranola
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Consider 2r = -3(mod 55), by the theorem there should be gcd(2, 55) = 1 solution. But this is obviously false, why?

prathikkannan
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U must first explain for the existence of the soln if d|b . If X°is a soln of ax=b(modn). Then n|aX°-b =>d.k|d.lX°-b
=>d.k|d(l.X°-b/d)
=>b/d€Z
=>d|b

tonk