Math 311 E-mail:    sson@uccs.edu,     Syllabus  ,    Lecture Video/Notes Archive Link

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  Matlab .m files:  

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  Binomial coefficient:    How to use?   binom(10,4)

 

  Divisors of n:               divisors(240)

 

  The number of divisors:        tau(240)

 

  The sum of divisors^s:   If s=3, then        sigma(3, 240).

 

  Diophantine Eq.:  ax+by=c Solver:       dio(71, 83,1)    to solve 71x+83y=1.

 

  Binary Exponentiation Algorithm:  a^e (mod p):      powermod(17, 29, 91) to find   17^29 (mod 91).

 

  Modular inverse:      ax=1 (mod p):    invmod(65, 91) to find    65^(-1) (mod 91).

 

  Chinese remainder  x=a1 (mod p1), ...   :      crem([a1,p1;      a2, p2;    a3, p3]).

                                                   e.g.          crem([19,21;    38, 580;     82, 932]) 

 

  Euler phi function:    phi(n):              phi(24) to find the value of phi at 24.

 

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  Info Link:

 

  Converter

 

  RFID        (Explanation)

 

  Barcode   (Explanation)   Patent 

 

  Actual generation

 

  Numbers    in     EAN

 

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