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Recent questions tagged set-theory&algebra

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751
Linearity
Is this function is linear? f(X,Y,Z)=XY+X'Y'Z
Is this function is linear?f(X,Y,Z)=XY+X'Y'Z
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0 votes
0 answers
752
Math on set theory
The number of pairs of set (X,Y) are there that satisfy the condition $X,Y\subseteq \left \{ 1,2,3,4,5,6 \right \}$ and $X\cap Y=\Phi$________________
The number of pairs of set (X,Y) are there that satisfy the condition $X,Y\subseteq \left \{ 1,2,3,4,5,6 \right \}$ and $X\cap Y=\Phi$________________
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1 votes
3 answers
754
Set theory doubt
Say if A is proper subset of B i.e A⊂B then is it true - that B⊆A (B is subset of A)? Also one more thing - if A⊂B then AUB = A where U means UNION
Say if A is proper subset of B i.e A⊂B then is it true - that B⊆A (B is subset of A)?Also one more thing - if A⊂B then AUB = A where U means UNION
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0 votes
1 answer
756
relations
what is the Number of relations S over set {0,1,2,3} such that (x,y) belongs to S=> x=y
what is the Number of relations S over set {0,1,2,3} such that (x,y) belongs to S= x=y
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2 votes
2 answers
757
Set Relation
Answer please explain the ans. R is antisymmetric then aRb, bRa -> a=b so a-b=0 and 0 is not odd positive then how it is antisymmetric?
Answer please explain the ans.R is antisymmetric then aRb, bRa - a=b so a-b=0 and 0 is not odd positive then how it is antisymmetric?
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1 votes
1 answer
760
Relations
Consider the set {2,3,4} and define partial ordering if a divides b. Now element 3 is maximal or minimal.
Consider the set {2,3,4} and define partial ordering if a divides b.Now element 3 is maximal or minimal.
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1 votes
1 answer
762
Kenneth Rosen Edition 7 Exercise 2.6 Question 22 (Page No. 177)
Suppose that A is a countable set. Show that the set B is also countable if there is an onto function f from A to B.
Suppose that A is a countable set. Show that the set B is also countable if there is an onto function f from A to B.
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2 votes
0 answers
764
Kenneth Rosen Edition 6th Exercise 2.2 (Page No. 131)
Draw the Venn Diagram Between Reflexive property, Symmetric property, and Anti-symmetric property?
Draw the Venn Diagram Between Reflexive property, Symmetric property, and Anti-symmetric property?
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4 votes
1 answer
767
Relation and Partial order
Is (S, R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people, if a is not taller than b?
Is (S, R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people,if a is not taller than b?
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2 votes
1 answer
768
Kenneth Rosen Edition 6th Exercise 7.5 Question 3 d (Page No. 507)
R is a relation on the set of all functions from Z to Z. R = { (f, g) | for some C ∈ Z , for all x ∈ Z , f(x) - g(x) = C } is it Equivalence relation or not ?
R is a relation on the set of all functions from Z to Z.R = { (f, g) | for some C ∈ Z , for all x ∈ Z , f(x) - g(x) = C } is it Equivalence relation or not ?
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1 votes
1 answer
769
Relations
Please tell me how to calculate total number of symmetric relations on a set of 5 elements. I know the answer but want the proof.
Please tell me how to calculate total number of symmetric relations on a set of 5 elements.I know the answer but want the proof.
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2 votes
1 answer
770
Set theory
{ a } ∈ A but a ∉ A why ? here ' a is the element of set {a} ' ,and ' set {a} is the element of A" , so " a also element of A " . please clear my doubt .
{ a } ∈ A buta ∉ Awhy ?here ' a is the element of set {a} ' ,and ' set {a} is the element of A" , so " a also element of A " . please clear my doubt .
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1 votes
1 answer
774
Test by Bikram | Mock GATE | Test 4 | Question: 21
$\left ( G, . \right )$ is a group such that $\left ( x,y \right )^{-1} = x^{-1}y^{-1}, \forall \left ( x,y \right ) \in G$. Here, $G$ is a: Monoid Commutative semi group Abelian group Semi group
$\left ( G, . \right )$ is a group such that $\left ( x,y \right )^{-1} = x^{-1}y^{-1}, \forall \left ( x,y \right ) \in G$.Here, $G$ is a: Monoid Commutative semi group ...
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3 votes
3 answers
776
The gatebook
Total order relation is Lattice or not please explain?
Total order relation is Lattice or not please explain?
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11 votes
4 answers
777
ISRO2017-9
The symmetric difference of sets $\text{A}=\{1,2, 3,4, 5, 6, 7, 8\}$ and $\text{B}= \{1, 3, 5, 6, 7,8,9\}$ is: $\{1, 3, 5, 6, 7,8\}$ $\{2, 4, 9\}$ $\{2, 4\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$
The symmetric difference of sets $\text{A}=\{1,2, 3,4, 5, 6, 7, 8\}$ and $\text{B}= \{1, 3, 5, 6, 7,8,9\}$ is:$\{1, 3, 5, 6, 7,8\}$$\{2, 4, 9\}$$\{2, 4\}$$\{1, 2, 3, 4, 5...
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0 votes
2 answers
778
Kenneth Rosen Edition 6th Exercise 2.2 Question 15 (Page No. 130)
If a,b be elements of a Boolean algebra then how to show that (a∨b)' = a' ∧ b'. please explain step by step in easiest way possible
If a,b be elements of a Boolean algebra then how to show that (a∨b)' = a' ∧ b'.please explain step by step in easiest way possible
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