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Recent questions tagged equivalenceclasses
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Rosen 7e Exercise9.5 Question no9 page no615
Suppose that $A$ is a nonempty set, and $f$ is a function that has $A$ as its domain. Let $R$ be the relation on $A$ consisting of all ordered pairs $(x, y)$ such that $f (x)=f (y)$ $a)$ Show that $R$ is an equivalence relation on $A$ $b)$ What are the equivalence classes of $R?$
asked
Apr 23, 2019
in
Set Theory & Algebra
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aditi19
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kennethrosen
discretemathematics
relations
equivalenceclasses
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2
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2
UGC NET 2016
Let L be the language generated by regular expression 0*10* and accepted by the deterministic finite automata M. Consider the relation RM defined by M. As all states are reachable from the start state, RM has _____ equivalence classes. pls give a detailed solution
asked
Dec 14, 2018
in
Theory of Computation
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aditi19
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#dfa
finiteautomata
equivalenceclasses
regularlanguages
regularexpressions
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3
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 it's more complicated). both are over ... classes. could you help me with that please? thank you very much for your help, really hoping i did it correctly.
asked
Dec 7, 2018
in
Theory of Computation
by
csenoob
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15
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55
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finiteautomata
equivalenceclasses
myhillnerode
theoryofcomputation
0
votes
1
answer
4
UGCNETJuly2018II89
Which of the following is an equivalence relation on the set of all functions from Z to Z? $\{ f, \:g) \mid f(x)  g(x) =1 \: \forall \: x \in \: Z \}$ $\{ f, \:g) \mid f(0) = g(0) \text{ or } f(1) = g(1) \}$ $\{ f, \:g) \mid f(0) = g(1) \text{ and } f(1) = g(0) \}$ $\{ f, \:g) \mid f(x)  g(x) =k \text{ for some } k \in Z \}$
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Jul 13, 2018
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Others
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Pooja Khatri
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ugcnetjuly2018ii
discretemathematics
equivalenceclasses
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1
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5
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 ______.
asked
Nov 27, 2017
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Theory of Computation
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Parshu gate
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375
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equivalenceclasses
theoryofcomputation
myhillnerode
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0
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6
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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Nov 15, 2017
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Set Theory & Algebra
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Shubhanshu
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119
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discretemathematics
relations
equivalenceclasses
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0
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7
Equivalence relation
True / false ? a. Partitions formed from congruence classes modulo $6$ ... $R_4$ creates refinement partitions with respect to the partitions of $R_3$.
asked
Dec 14, 2016
in
Set Theory & Algebra
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dd
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143
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relations
equivalenceclasses
settheory&algebra
0
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1
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8
GateCse Fb post
How many equivalence relations with exactly 3 equivalence classes are there on a set with 5 elements?
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Dec 14, 2016
in
Set Theory & Algebra
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Shreya Roy
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191
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equivalenceclasses
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9
Gate Computer Science group Fb post
asked
Nov 29, 2016
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Set Theory & Algebra
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Shreya Roy
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132
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equivalenceclasses
+6
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3
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10
ISRO200729
The set of all Equivalence Classes of a set A of Cardinality C is of cardinality $2^c$ have the same cardinality as A forms a partition of A is of cardinality $C^2$
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Jun 10, 2016
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Set Theory & Algebra
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jothee
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isro2007
settheory&algebra
equivalenceclasses
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11
Consider these statements, of which the first three are premises and the fourth is a valid conclusion.
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Apr 22, 2016
in
Mathematical Logic
by
shekhar chauhan
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230
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mathematicallogic
equivalenceclasses
+1
vote
1
answer
12
Which of these relations on the set of all functions from Z to Z are equivalence relations?
asked
Apr 6, 2016
in
Set Theory & Algebra
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SomnathKayal
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301
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904
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settheory&algebra
relations
functions
equivalenceclasses
+2
votes
1
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13
Determining a given subset is partition or not?
Which of these collections of subsets are partitions of the set of bit strings of length 8? (a) the set of bit strings that end with 00, the set of bit strings that end with 01, the set of bit strings that end with 10, and the set ... . I can't find any overlapping elements between different partition of (b) and if there is any, then why not in (a).
asked
Apr 5, 2016
in
Set Theory & Algebra
by
SomnathKayal
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301
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242
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relationalalgebra
relations
equivalenceclasses
settheory&algebra
0
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0
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14
Determine the given relation is Equivalence Relation or not.
$R_{1} \oplus R_{2}$ I know that $R_{1} \oplus R_{2} = R_{1} \cup R_{2}  R_{1} \cap R_{2}$, and $R_{1} \cup R_{2}$ is not necessarily an equivalence relation but $R_{1} \cap R_{2}$ is always an equivalence relation, when we subtract what we will get? For example consider this, what will be the graph of $R_{1} \oplus R_{2}$?
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Apr 5, 2016
in
Set Theory & Algebra
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SomnathKayal
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301
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216
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relations
settheory&algebra
equivalenceclasses
+6
votes
2
answers
15
TOC Number of Equivalence Classes
The number of equivalence classes which exist for the following regular expression R are ______. $R=(a+b)^*b(a+b+\epsilon )$ what is the meaning of equivalence classes here...
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Dec 5, 2015
in
Theory of Computation
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resuscitate
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3.8k
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theoryofcomputation
equivalenceclasses
myhillnerode
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