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Recent questions in Discrete Mathematics
1
vote
1
answer
5441
Function surjection and injection
Question Justify each option a)f and g are injection then gof is injection b) f and g are surjection then gof is surjection c) gof is onetoone then f is one to one d) gof is on to then g is onto How to solve this knd of problems in general ? Could someone explain it using simple english taking terms like domain and co-domain . instead of mathematical statements
pC
asked
in
Set Theory & Algebra
Jun 25, 2016
by
pC
786
views
functions
0
votes
0
answers
5442
functions | composite | identity
A : R- {2} B: R-{1} f:A->B g:B->A f(x) = $\frac{x}{x-2}$ g(x) = $\frac{2x}{x-1}$ Q1) find IA and IB Q2) find fog and gof Q3] what is your comparision
pC
asked
in
Set Theory & Algebra
Jun 25, 2016
by
pC
246
views
functions
identity-function
0
votes
0
answers
5443
total ordered set
closed
Akriti sood
asked
in
Set Theory & Algebra
Jun 24, 2016
by
Akriti sood
456
views
0
votes
1
answer
5444
equivalence relation
let P(A) be the powerset of set A.and let R be the relation on P(A) such that S1 R S2 when S1 = S2.then the relation is: 1.reflexive 2.transitive and reflexive 3.reflexive and symmetric 4.equivlence relation here i am not getting one thing,relation ... that is s1 != s2 and hence there will not be any element in the reltion. I am confused with the language of the question.
Akriti sood
asked
in
Set Theory & Algebra
Jun 23, 2016
by
Akriti sood
1.0k
views
2
votes
7
answers
5445
is D36 distributive ?
In one text I read that , if n is square free it is DISTRIBUTIVE in other text I read that if n is square free it is BOOLEAN ALGEBRA . Which is most correct ? Here D36 is not square free then... what conclusion can I make ?
pC
asked
in
Set Theory & Algebra
Jun 23, 2016
by
pC
13.7k
views
set-theory&algebra
lattice
1
vote
2
answers
5446
Lattice | Distributive
Identifying a Distributive Lattice If it is isomorphic to two standard lattice L1* and L2* then the lattice is Not Distributive . If Complemented Then unique complement should exists . Identifying a complemented Lattice Atleast one complement exists for every pair of element . ( ... }, <= ] What is complemet of 1 , 2 and 3 ? Im not able to find out with above understanding
Dulqar
asked
in
Set Theory & Algebra
Jun 23, 2016
by
Dulqar
983
views
set-theory&algebra
lattice
1
vote
0
answers
5447
Lattice | Boolean Albegra
Need IN Depth Explanation for each option POSET [ A ; <= ] is a) Bounded Lattics b) Distributive Lattice c) Complemented Lattice d) Boolean Algebra POSET [ P(A) ; $\subseteq$ ] is a) Bounded Lattics b) Distributive Lattice c) ... one Complement .. How to Solve general questions like this..? Need in depth explanation for each option and each question. Thanks.
pC
asked
in
Set Theory & Algebra
Jun 22, 2016
by
pC
971
views
set-theory&algebra
lattice
boolean-algebra
2
votes
3
answers
5448
Lattice
How to pick an option from this I feel like both c and d are correct what do you day?
pC
asked
in
Set Theory & Algebra
Jun 22, 2016
by
pC
791
views
set-theory&algebra
lattice
7
votes
4
answers
5449
ISRO2011-27
Which one of the following is true? $R \cap S = ( R \cup S) - [(R-S) \cup (S-R)]$ $R \cup S = ( R \cap S) - [(R-S) \cup (S-R)]$ $R \cap S = ( R \cup S) - [(R-S) \cap (S-R)]$ $R \cap S = ( R \cup S) \cup (R-S)$
go_editor
asked
in
Set Theory & Algebra
Jun 22, 2016
by
go_editor
3.6k
views
isro2011
set-theory&algebra
set-theory
0
votes
1
answer
5450
equivalence relations
number of equivalence relations on a set with n elements??is there a formula??
Akriti sood
asked
in
Set Theory & Algebra
Jun 22, 2016
by
Akriti sood
715
views
0
votes
1
answer
5451
well ordered set
The standard ordering ≤ of any real interval is not a well ordering, since, for example, the open interval (0, 1) ⊆ [0,1] does not contain a least element..plz explain the abovev example...
Tauhin Gangwar
asked
in
Set Theory & Algebra
Jun 21, 2016
by
Tauhin Gangwar
2.6k
views
0
votes
1
answer
5452
Mathematics
shaff
asked
in
Mathematical Logic
Jun 21, 2016
by
shaff
239
views
engineering-mathematics
0
votes
1
answer
5453
Solve the equation
shaff
asked
in
Mathematical Logic
Jun 21, 2016
by
shaff
414
views
engineering-mathematics
0
votes
1
answer
5454
partial and total order set
can anyone explain what is total ordered set by giving suitable example..and also well ordered sets.
Akriti sood
asked
in
Mathematical Logic
Jun 21, 2016
by
Akriti sood
1.0k
views
1
vote
1
answer
5455
Set |Subset | Volume 1 Q6
Question If A and B are subsets of set X = { 1,2,3, ... 99,100 } and A # B denote the set of all elements of X which belogs to exactly A or B . Total number of subsets of X such that A#B = { 2,4,6,.. 98,100} is _____ My approach Every ... ie Every even number can appear either in only A or in only B Every odd number can appear only in A$\cap$ B how to proceed further ...?
pC
asked
in
Set Theory & Algebra
Jun 19, 2016
by
pC
1.3k
views
set-theory
sub-set
1
vote
2
answers
5456
Sets | Symmetric Difference | Which of the following is NOT true ?
Question Which of the following is NOT True ? Statement 1 : A-( B-C )=(A-B) - (A-C) Statement 2 : A$\bigtriangleup$(B$\cup$C)= (A $\bigtriangleup$B)$\cup$(A$\bigtriangleup$C) here "Triangle " symbole mean -->EXOR My A pproach statement1 Statement 2
pC
asked
in
Set Theory & Algebra
Jun 19, 2016
by
pC
741
views
set-theory&algebra
1
vote
1
answer
5457
What is the solution for this Discrete Mathematics puzzle?
Also, explain the question along with your answer. Thank You.
Navneet Srivastava
asked
in
Mathematical Logic
Jun 19, 2016
by
Navneet Srivastava
1.3k
views
puzzles
mathematical-logic
discrete
engineering-mathematics
0
votes
2
answers
5458
Explain the correctness of the statement
Question : Explain the correctness of the mathematical statement : Statement 1 : P(S) $\cap$ S = S ? Statement 2 : P(S) $\cap$ P(P(S)) = $\phi$ My Approach : Staement 1 Let S= { 1,2} P(S) = { $\phi$ , {1} ,{2}, {1,2} } P(S) $\cap$ S = $\phi$ ... P(P(S)) = {$\phi$ , {$\phi$} , {$\phi$,1}} P(S) $\cap$ P(P(S)) = { $\phi$ } Is My answers are correct ??
pC
asked
in
Set Theory & Algebra
Jun 19, 2016
by
pC
724
views
power-set
set-theory&algebra
set-theory
0
votes
1
answer
5459
Find the cardinality..
Find the cardinality of --- 1) $\phi$ 2) { $\phi$} 3) { $\phi$ , { $\phi$} } 4) { $\phi$, { $\phi$} , { $\phi$, { $\phi$ } } }
dhairya
asked
in
Set Theory & Algebra
Jun 17, 2016
by
dhairya
388
views
1
vote
1
answer
5460
equality of sets
For 2 sets to be equal..is it necessary to have same no of elements as well..? ex- A={1,2,3} B={1,1,3,3,2}.. Are they equal.?
dhairya
asked
in
Set Theory & Algebra
Jun 17, 2016
by
dhairya
765
views
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