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Power Point Presentation on a PAIR OF LINEAR EQUATION IN TWO VARIABLES, MATHS project...
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All of material inside is un-licence, kindly use it for educational only but please do not to commercialize it.
Based on 'ilman nafi'an, hopefully this file beneficially for you.
Thank you.
Power Point Presentation on a PAIR OF LINEAR EQUATION IN TWO VARIABLES, MATHS project...
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I am Andy K. I am a Calculus Homework Solver at mathhomeworksolver.com. I hold a Master's in Mathematics From Sydney, Australia. I have been helping students with their homework for the past 9 years. I solve homework related to Calculus.
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Published in association with the Utilitas Mathematica Academy. Offers selected original research in Pure and Applied Mathematics and Statistics. It enjoys a good reputation and popularity at the international level in terms of research papers and distribution worldwide.
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CBSE Board Class 10 Previous Year Maths Paper 2007 SolutionMATHS BLOGS
CBSE Board Class 10 Previous Year Maths Paper 2007 Solution. It is the solution of the previous year 2007 Maths Paper solution that helps students of the class 10.
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WINTER 2013, ASSIGNMENT
DRIVE WINTER 2014
PROGRAM BACHELOR OF COMPUTER APPLICATION
SUBJECT CODE & NAME BC0052 – THEORY OF COMPUTER SCIENCE
SEMESTER 5TH SEM
CREDITS 4
MAX. MARKS 60
BK ID B0972
Answer all questions
Q.1. Define g.c.d. (m,n) Solve recursively: (i) f(x, y) = x + y, (ii) g(x, 0) = 0, g(x, y + 1) = g(x, y) + x.
[3+3.5+3.5] =10
ANS:
Definition: If m and n are two non-negative integers then the (greatest common divisor) g.c.d. (m, n)
is defined as the largest positive integer d such that d divides both m and n. Euclidean algorithm
computes the greatest common divisor (g.c.d.) of two non negative integers.
Q.2. Obtain a DFA to accept strings of a’s and b’s starting with the string ab. [10] =10
ANS:
A DFA to accept strings of a’s and b’s starting with the string ab.:
Solution: It is clear that the string should start with ab and so, the minimum string that can be
accepted by the machine is ab. To accept the string ab, we need three states and the
Q.3. Prove by mathematical induction. [10] =10
2. ANS:
Solution:
Therefore the result is true for n=m+1. Hence by mathematical induction the given result is true for
all positive integers n.
Q.4. Briefly describe Moore and Mealy machines. [10] =10
ANS:
Moore and Mealy Machines: The automaton systems we have discussed so far are limited to
binaryoutput. That is, the systems can either accept or do not accept a string. In those systems, this
acceptability is decided based on the reachability from the initial state to the final state. This
property
Q.5. If G= ({ S}, { S->0S1, S->^}, S) t then find L(G), the language generated by G. [10] =10
ANS:
Solution:
Since S®^ is a production, S=>^. This implies that ^ € L(G)
Now, for all n≥1, we can write the following:
S=>0S1=>00S11...=>0n
S1n
=> 0n
1n
Therefore, 0n
1n
€ L(G).
Q.6. Prove that “A tree G with n vertices has (n–1) edges” [10] =10
ANS:
Proof : We prove this theorem by induction on the number vertices n.
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