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Recent questions tagged relations

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1 answer
94
ZEAL test-series : Cardinality of relation!
I know that the number of equivalence relation is bell no. i.e 7th bell no. i.e. 877, but i am not able to find the cardinality of R! Please help!
I know that the number of equivalence relation is bell no. i.e 7th bell no. i.e. 877, but i am not able to find the cardinality of R!Please help!
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2 votes
1 answer
99
GATE Overflow Test Series | Mock GATE | Test 4 | Question: 28
Which of the following is a valid partition of the set $\{1,2,3,4,5,6\}$? $\{1,2\}\{2,3,4\}\{4,5,6\}$ $\{2,4,6\}\{1,3,5\}$ $\{1,4,5\}\{2,6\}$ $\{2\}\{3,6\}\{4,5\}$
Which of the following is a valid partition of the set $\{1,2,3,4,5,6\}$?$\{1,2\}\{2,3,4\}\{4,5,6\}$$\{2,4,6\}\{1,3,5\}$$\{1,4,5\}\{2,6\}$$\{2\}\{3,6\}\{4,5\}$
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4 votes
1 answer
101
GATE Overflow Test Series | Mock GATE | Test 3 | Question: 29
How many relations are there on the set $\{a, b, c, d\}$ that contain the pair $(a, a)?$ $2^{15}$ $2^8$ $2^4$ None of the above
How many relations are there on the set $\{a, b, c, d\}$ that contain the pair $(a, a)?$$2^{15}$$2^8$$2^4$None of the above
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0 votes
1 answer
116
UGC NET CSE | June 2005 | Part 2 | Question: 3
The transitive closure of a relation $R$ on set $A$ whose relation matrix $\begin{bmatrix} 0 & 1 & 0\\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{bmatrix}$ ... $\begin{bmatrix} 0 & 1 & 1\\ 0 & 1 & 1 \\ 0 & 1 & 1 \end{bmatrix}$
The transitive closure of a relation $R$ on set $A$ whose relation matrix $\begin{bmatrix}0 & 1 & 0\\ 0 & 0 & 1 \\ 1 & 0 & 0\end{bmatrix}$ is :$\begin{bmatrix}0 & 1 & 0\\...
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0 votes
1 answer
117
UGC NET CSE | January 2017 | Part 3 | Question: 71
Let $R$ and $S$ be two fuzzy relations defined as: $\begin{matrix} & & & &y_1& &y_2\end{matrix}\\R=\begin{matrix}x_1\\x_2\end{matrix}\begin{bmatrix} 0.6 &0.4 \\ 0.7&0.3 \end{bmatrix} \text{ and}$ ...
Let $R$ and $S$ be two fuzzy relations defined as:$\begin{matrix} & & & &y_1& &y_2\end{matrix}\\R=\begin{matrix}x_1\\x_2\end{matrix}\begin{bmatrix} 0.6 &0.4 \\ 0.7&0.3 \e...
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15 votes
5 answers
118
GATE CSE 2020 | Question: 17
Let $\mathcal{R}$ be the set of all binary relations on the set $\{1,2,3\}$. Suppose a relation is chosen from $\mathcal{R}$ at random. The probability that the chosen relation is reflexive (round off to $3$ decimal places) is ______.
Let $\mathcal{R}$ be the set of all binary relations on the set $\{1,2,3\}$. Suppose a relation is chosen from $\mathcal{R}$ at random. The probability that the chosen re...
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1 votes
2 answers
119
Recurrence Relation Self-Doubt
What will be solution of recurrence relation if roots are like this: r1=-2, r2=2, r3=-2, r4=2 is this the case of repetitive roots?
What will be solution of recurrence relation if roots are like this: r1=-2, r2=2, r3=-2, r4=2is this the case of repetitive roots?
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