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Prove that {G, *} is a group.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Decode the following words relative to a maximum likelyhood decoding function. i)11001 ii) 01010 iii) 00111
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Let H= $\begin{bmatrix} 1&0&0 \\ 0&1&1 \\ 1&1&1 \\ 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{bmatrix}$ be parity check matrix.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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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 2.7 years ago by pedsangini276 • 4.8k
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$\text{Solve the following recurrence relation:} \\ a_n-5a_{n-1}+6a_{n-2}=0 \\ a_n-5a_{n-1}+6a_{n-2}=2^\pi \text{with initial conditions}a_0 = -1 \ \ and \ \ a_1 =1$
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Solve the recurrence relation $a_r=3a_{r-1}+2, r > =1$ with $a_0= 1$, using generating function.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Solve the recurrence relation $a_n=-3(a_{n-1}+a_{n-2})-a_{n-3}$ with $a_0=5, a_1=-9$ and ` $a_2=15$.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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R is the set of real number.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Let H= $\begin{bmatrix} 1&0&0 \\ 1&1&0 \\ 0&1&1 \\ 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{bmatrix}$ be parity check matrix.
discrete mathematics updated 2.7 years ago by sagarkolekar ★ 11k
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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 2.0 years ago by sagarkolekar ★ 11k
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Draw its Hasse diagram. P(A) is the power set of A.
discrete mathematics updated 2.0 years ago by sagarkolekar ★ 11k
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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 2.0 years ago by sagarkolekar ★ 11k
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Find the complement of each element in D30
discrete mathematics updated 2.2 years ago by sagarkolekar ★ 11k
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Draw Hasse Diagram of $D_{42}$, Find the complement of each element in $D_{42}$.
discrete mathematics updated 2.2 years ago by sagarkolekar ★ 11k
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$\text{Find the generating function for the following finite sequences} \\1. \ \ \ \ 1, 1, 1, 1, 1, 1,......$
discrete mathematics updated 2.2 years ago by sagarkolekar ★ 11k
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Determine the group code
discrete mathematics updated 2.4 years ago by pedsangini276 • 4.8k
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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 2.5 years ago by pedsangini276 • 4.8k
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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 2.5 years ago by sagarkolekar ★ 11k
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Find got, fog, foh, gofoh.
discrete mathematics updated 2.5 years ago by sagarkolekar ★ 11k
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A survey of 500 television watchers produced the following information:
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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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 2.7 years ago by pedsangini276 • 4.8k
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Function f(x) = (4x + 3)/(5x - 2). Find $f^{-1}$.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Let A={ 1,2,3,4}and let R={(1,2) (2,3)(3,4)(2,1)}. Find transitive closure of R by using Warshall's algorithm.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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State and explain Pigeonhole principle, extended Pigeonhole principle.How many numbers must be selected from the set{1, 2, 3, 4, 5, 6 }to guarantee that at least one pair of these numbers add up to 7?
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Define group, monoid, semigroup.
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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