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4 votes
1 answer
7461
UGC NET CSE | June 2016 | Part 3 | Question: 31
The number of different binary trees with 6 nodes is 6 42 132 256
The number of different binary trees with 6 nodes is642132256
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1 votes
2 answers
7463
Propositional Logic | Self doubt
Please give one example of each following logic in english sentence - 1. ($\forall$xP(x) -> $\exists$xQ(x)) == $\exists$x(P(x) -> Q(x)) 2. ($\exists$xP(x) -> $\forall$xQ(x)) -> $\forall$x(P(x) -> Q(x)) 3. $\forall$x(P(x) -> R) -> ($\exists$xP(x) -> R)
Please give one example of each following logic in english sentence -1. ($\forall$xP(x) - $\exists$xQ(x)) == $\exists$x(P(x) - Q(x))2. ($\exists$xP(x) - $\forall$xQ(x)) ...
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3 votes
2 answers
7464
Gatebook
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have is a) (n-1)(n-2)/2 b) n(n-1)/2 c) n-1 d) n
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have isa) (n-1)(n-2)/2b) n(n-1)/2c) n-1d) n
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2 votes
1 answer
7465
eigen vector
Let A be the matrix [3112][3112]. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A? A) 3 B) (5 + √5)/2 C) 3 D) (5 - √5)/2 PLEASE EXPLAIN THE MEANING OF UNIT EIGENVECTORS OF A
Let A be the matrix [3112][3112]. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A?A)3B)(5 + √5)/2C)3D)(...
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2 votes
0 answers
7466
Discrete Mathematics Imp
In the set of all integers a relation is defined by: a $\equiv$ b(mod m) i.e. m divides a-b Show that:The relation is an Equivalance Relation.
In the set of all integers a relation is defined by:a $\equiv$ b(mod m)i.e. m divides a-bShow that:The relation is an Equivalance Relation.
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1 votes
1 answer
7467
Discrete MatheMatics Imp
If A,B,C are 3 sets and R is a subset of A x B i.e R ⊆ A x B S ⊆ B x C Then Prove that :
If A,B,C are 3 sets and R is a subset of A x Bi.e R ⊆ A x BS ⊆ B x CThen Prove that :
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1 votes
2 answers
7470
MADEEASY Doubt Matrix
If A is a Skew Symmetric MAtrix then A.A is_______ a)symmetric b)skew-symmetric c)Diagonal d)nothing can be said
If A is a Skew Symmetric MAtrix then A.A is_______a)symmetric b)skew-symmetric c)Diagonal d)nothing can be said
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5 votes
3 answers
7471
UGC NET CSE | June 2016 | Part 2 | Question: 25
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression? 15 14 13 12
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression?15141312
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1 votes
0 answers
7472
made easy test series que
a real n*n matrix aij =i if i = j , otherwise 0 the determinant of all n eigen values of A is a) n(n+1)/2 b) n(n-1)/2 c) n(n+1)(2n+1)/6 d) factorial(n) my ans is d but the ans given is a. Is it correct?
a real n*n matrix aij =i if i = j , otherwise 0the determinant of all n eigen values of A isa) n(n+1)/2b) n(n-1)/2c) n(n+1)(2n+1)/6d) factorial(n)my ans is d but the ans ...
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1 votes
0 answers
7473
#Narsingh_Deo Chapter-2 problem 2-29
Show that in a dancing ring of n children it is always possible to arrange the children so that everyone has a friend at each side if every child enjoys friendship with at least half the children.
Show that in a dancing ring of n children it is always possible to arrange the children so that everyone has a friend at each side if every child enjoys friendship with a...
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3 votes
1 answer
7474
Narsingh Deo , Chapter 2, problem 2-18
If the intersection of two path is a disconnected graph, Show that the union of the two path has at least one circuit.
If the intersection of two path is a disconnected graph, Show that the union of the two path has at least one circuit.
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2 votes
2 answers
7475
Graph
consider G is an undirected simple graph in which
consider G is an undirected simple graph in which
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4 votes
2 answers
7477
UGC NET CSE | June 2016 | Part 2 | Question: 1
How many difference equivalence relations with exactly three different equivalence classes are there on a set with five elements? 10 15 25 30
How many difference equivalence relations with exactly three different equivalence classes are there on a set with five elements?10152530
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2 votes
1 answer
7478
UGC NET CSE | December 2011 | Part 2 | Question: 15
McCabe’s cyclomatic metric $V(G)$ of a graph $G$ with $n$ vertices, $e$ edges and $p$ connected component is $e$ $n$ $e – n + p$ $e – n + 2p$
McCabe’s cyclomatic metric $V(G)$ of a graph $G$ with $n$ vertices, $e$ edges and $p$ connected component is$e$ $n$ $e – n + p$ $e – n + 2p$
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3 votes
1 answer
7479
UGC NET CSE | December 2011 | Part 2 | Question: 5
Maximum number of edges in a n -Node undirected graph without self loop is $n^{2}$ $n(n – 1)$ $n(n + 1)$ $\frac{n(n - 1)}{2}$
Maximum number of edges in a n -Node undirected graph without self loop is$n^{2}$$n(n – 1)$ $n(n + 1)$$\frac{n(n - 1)}{2}$
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2 votes
1 answer
7480
UGC NET CSE | December 2011 | Part 2 | Question: 4
Domain and Range of the function $Y= - \sqrt{-2x + 3}$ is $x \geq \frac{3}{2}, y \geq 0$ $x > \frac{3}{2}, y \leq 0$ $x \geq \frac{3}{2}, y \leq 0$ $x \leq \frac{3}{2}, y \leq 0$
Domain and Range of the function $Y= - \sqrt{-2x + 3}$ is$x \geq \frac{3}{2}, y \geq 0$$x \frac{3}{2}, y \leq 0$$x \geq \frac{3}{2}, y \leq 0$ $x \leq \frac{3}{2}, y \le...
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