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Recent questions tagged equivalence-class

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Discrete Mathematics | Set Theory | Relation | Equivalance Relation
which if the following statement is True for every set?a. $\exists$ a equivalence class that is also a partition set.b. Every equivalence relation on a ... that is also equal to equivalence class of the set on some equivalence relation.
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Discrete Mathematics | Relations | Equivalence relation |
The relation R on the set {(a, b) |a, b € Z} where (a, b)R(c, d) means a = c or b = d. Is R a equivalence relation or not ?
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 62
As a refresher, if $R$ is an equivalence relation over a set $A$ and $x \in A$, then the equivalence class of $\boldsymbol{x}$ in $\boldsymbol{R}$, denoted $[x]_R,$ is the ... $\mathrm{W}(\mathrm{R})=n / 2$
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Discrete math
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GO Classes Test Series 2023 | Theory of Computation | Test 2 | Question: 10
Let $\text{L}$ be a language over an alphabet $\Sigma$. The equivalence relation $\sim_{\text{L}}$ on the set $\Sigma^{\ast}$ of finite strings ... classes is infinite.Which of the above statements is/are correct?Only $1$Only $2$BothNone
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GO Classes Test Series 2024 | Discrete Mathematics | Test 2 | Question: 16
Let $\text{Z}$ be the set of all integers. Define a relation $\text{S}$ on $\text{Z} \times \text{Z}$ by $(w,x)\text{S}(y,z)$ ... disjoint from the equivalence class of $(a-2,b+2),$ for all $a,b,c,d \in \text{Z}.$
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GO Classes 2023 | Weekly Quiz 7 | Question: 12
Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of ... symmetric, transitive and antisymmetric.How many equivalence classes does relation $\text{R}$ have?
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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!
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Rosen 7e Exercise-9.5 Question no-9 page no-615
Suppose that $A$ is a nonempty set, and $f$ is a function that has $A$ as its domain. Let $R$ be the relation on $A$ ... $ is an equivalence relation on $A$b)$ What are the equivalence classes of $R?$
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finding equivalence classes $R_L$ of given languages and separating words
hello,i've just solved 2 questions among many, but i'm not sure i've got to the right result. could you check if i did it correctly(especially 2) as ... with that please?thank you very much for your help, really hoping i did it correctly.
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UGC NET CSE | July 2018 | Part 2 | Question: 89
Which of the following is an equivalence relation on the set of all functions from Z to Z?$\{ f, \:g) \mid f(x) - g(x) =1 \: \forall \: x \in \: Z \}$\{ f, \:g) \mid f(0) ... \}$\{ f, \:g) \mid f(x) - g(x) =k \text{ for some } k \in Z \}$
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Equivalence classes
Consider a regular language L over Σ={0,1} such that L contains every string which ends with "0". The number of equivalence classes in L is ______.
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Equivalence Relation
Which of the above are true.I think only 1st one is true. But the answer given is all are true.
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