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Discrete Mathematics

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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 3.0 years ago by pedsangini276 • 4.8k
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R is the set of real number.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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Show that if a relation on set A is transitive and irreflexive then it is asymmetric.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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Find all solutions of the recurrence relation $a_n=5a_{n-1}+6a_{n-2}+7^n$
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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A survey of 500 television watchers produced the following information:
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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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 2.3 years ago by sagarkolekar ★ 11k
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Draw its Hasse diagram. P(A) is the power set of A.
discrete mathematics updated 2.3 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 2.3 years ago by sagarkolekar ★ 11k
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Find the complement of each element in D30
discrete mathematics updated 2.5 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 2.5 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 2.5 years ago by sagarkolekar ★ 11k
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Determine the group code
discrete mathematics updated 2.7 years ago by pedsangini276 • 4.8k
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Write short note on growth of functions.
discrete mathematics updated 2.7 years ago by Krishna_Agrawal • 2.7k
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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 2.8 years ago by pedsangini276 • 4.8k
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If, $ f(x)=x, \quad 0<x<\frac{\pi}{2} $ $ =\pi-x, \quad \frac{\pi}{2}<x<\pi $ show that, (i) $f(x)=\frac{4}{\pi}\left[\sin x-\frac{\sin 3 x}{3^{2}}+\frac{\sin 5 x}{5^{2}}-\ldots \ldots\right]$
discrete mathematics updated 2.8 years ago by prajapatijaimin • 3.3k
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Find the normals to the ellipse $x^{2} / 9+y^{2} / 4=1$ which are farthest from its centre.
discrete mathematics updated 2.8 years ago by prajapatijaimin • 3.3k
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If $\alpha=e^{2 \pi i / 7}$ and $f(x)=A_{0}+\sum_{k=1}^{20} A_{k} x^{k} \\$, then find the value of, $f(x)+f(\alpha x)+\ldots+f\left(\alpha^{6} x\right)$ independent of $\alpha .$
discrete mathematics updated 2.8 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 2.8 years ago by sagarkolekar ★ 11k
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Find got, fog, foh, gofoh.
discrete mathematics updated 2.8 years ago by sagarkolekar ★ 11k
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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 3.0 years ago by pedsangini276 • 4.8k
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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 3.0 years ago by pedsangini276 • 4.8k
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Define group, monoid, semigroup.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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Function f(x) = (4x + 3)/(5x - 2). Find $f^{-1}$.
discrete mathematics updated 3.0 years ago by pedsangini276 • 4.8k
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Show that the (2, 5) encoding function e: $B^2-> B^5$ 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 3.0 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 3.0 years ago by pedsangini276 • 4.8k
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