#ATTENDANCE QUIZ FOR LECTURE 25 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p25
#with an attachment called
#p25FirstLast.txt
#(e.g. p25DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Dec. 11, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE:4

#1. Who is the most prolific mathematician of all time?

#answer: Paul Erd?s probably holds the record for over 1,525 papers published. He did, however, make use of several hundred collaborators. Leonhard Euler works are included in 80 volumes of varying length. 

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#2. is 
#seq(nops(BZset(i)),i=1..20);
#in the OEIS?

#A098151,Number of partitions of 2n prime to 3 with all odd parts occurring with even multiplicities. There is no restriction on the even parts.

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#3. By hand, Find BZ([5,2,1,1],-1]);
#check by comparing with 

#answer: 
#L:=[5,2,1,1]; j:= -1
#t:=4
#4+3*(-1) = 1 < 5, So return RemZ([[3,2,2,1$(5-3*(-1)-4-1)],-1+1])
#=RemZ([[3,2,2,1$3],0]) = [[3,2,2,1,1,1],0]

#compare with BZ([5,2,1,1],-1])
BZ([[5,2,1,1],-1]);
[[3, 2, 2, 1, 1, 1], 0]

#same!

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#4. What is BZ([[100$20],0])
BZ([[100 $ 20], 0]);
[[101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 

  101, 101, 101, 101, 101, 101, 101, 1, 1, 1, 1, 1, 1, 1, 1, 1, 

  1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 

  1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 

  1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 

  1, 1, 1, 1, 1, 1, 1], 1]