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Discrete Mathematics

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2
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51k
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R be a relation on set of integers Z defined by R = {(x, y) | x-y is divisible by 3} Show that R is an equivalence relation and describe the equivalence classes.
discrete mathematics updated 2.5 years ago by sagarkolekar ★ 11k
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25k
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Draw its Hasse diagram. P(A) is the power set of A.
discrete mathematics updated 2.5 years ago by sagarkolekar ★ 11k
6
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71k
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Prove that the set G = (1, 2, 3, 4, 5, 6) is an abelian group under multiplication modulo 7.
discrete mathematics updated 2.5 years ago by sagarkolekar ★ 11k
3
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9.7k
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Find the complement of each element in D30
discrete mathematics updated 2.7 years ago by sagarkolekar ★ 11k
6
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1
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39k
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Draw Hasse Diagram of D42, Find the complement of each element in D42.
discrete mathematics updated 2.7 years ago by sagarkolekar ★ 11k
0
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1
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9.9k
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Find the generating function for the following finite sequences1.    1,1,1,1,1,1,......
discrete mathematics updated 2.7 years ago by sagarkolekar ★ 11k
0
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2.6k
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Determine the group code
discrete mathematics updated 2.9 years ago by pedsangini276 • 4.8k
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1.8k
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Write short note on growth of functions.
discrete mathematics updated 2.9 years ago by Krishna_Agrawal • 2.7k
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3.2k
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Define isomorphism of graphs. find if the following two graphs are isomorphic. if yes find one to one correspondence between the vertices.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
2
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706
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If, f(x)=x,0<x<π2 =π−x,π2<x<π show that, (i) f(x)=4π[sinx−sin3x32+sin5x52−……]
discrete mathematics updated 3.0 years ago by prajapatijaimin • 3.3k
0
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643
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Find the normals to the ellipse x2/9+y2/4=1 which are farthest from its centre.
discrete mathematics updated 3.0 years ago by prajapatijaimin • 3.3k
0
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561
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If α=e2πi/7 and f(x)=A0+∑20k=1Akxk, then find the value of, f(x)+f(αx)+…+f(α6x) independent of α.
discrete mathematics updated 3.0 years ago by prajapatijaimin • 3.3k
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Draw the Hasse diagram of the following sets under the partial order relation divides and indicate which are chains. justify your answer.
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
1
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1
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4.6k
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1
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Find got, fog, foh, gofoh.
discrete mathematics updated 3.0 years ago by sagarkolekar ★ 11k
0
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1
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2.0k
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1
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Question based on pigeonhole principle
discrete mathematics updated 3.1 years ago by Krishna_Agrawal • 2.7k
1
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1
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30k
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A survey of 500 television watchers produced the following information:
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
2
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24k
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Consider the group G = (1,2,3,4,5,6) under multiplication modulo 7 a) Find multiplication table of G b) find Inverse of every element
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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2.0k
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Let H= [100110011100010001] be parity check matrix.
discrete mathematics updated 3.2 years ago by sagarkolekar ★ 11k
0
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2.2k
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Show that if every element in a group is its own inverse, then the group must be abelian.
discrete mathematics updated 3.2 years ago by sagarkolekar ★ 11k
0
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2.7k
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Let G={1, 2, 3, 4, 5, 6}. Prove that (G,x7) is a finite Abelian group with respect to multiplication modulo 7.
discrete mathematics updated 3.2 years ago by sagarkolekar ★ 11k
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1.5k
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Let H= [100110011100010001] be parity check matrix.Determine the group code eH:B2−>B5
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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1
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1.3k
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Show that a group G is Ablian, if and only if (ab)2=a2b2 for all elements a and b in G
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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1
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12k
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Show that the (2, 5) encoding function e: B2−>B5 defined by e(00) = 00000 e(01) = 01110 e (10) = 10101 e (11) = 11011 is a group code. How many errors will it detect and correct?
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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5.6k
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Prove that the set A= {0,1,2,3,4,5} is a finite Abelian group under addition modulo 6.
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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45k
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Define group, monoid, semigroup.
discrete mathematics updated 3.2 years ago by pedsangini276 • 4.8k
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