Recent questions and answers in Set Theory & Algebra - GATE CSE Doubts

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Self Doubt: POSET
I am unable to understand how Equality of Sets is a POSET? How can it satisfy anti-symmetric property?

answered Aug 13 in Set Theory & Algebra by user2525 (1.6k points) | 30 views

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2 answers

Set Theory Practice Question

answered Aug 11 in Set Theory & Algebra by Hirak (1.3k points) | 22 views

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Let S = { 0,3,6,9 } and ( S, (+) 12 ) forms a group where (+) 12 ; find inverse value of ( 0+3+6+9 )

answered Aug 10 in Set Theory & Algebra by user2525 (1.6k points) | 9 views

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Set Practice Question 1
Let A = { a,b,c,d } which of the following is not true ? a) R1 = { (a,a) (c,c) } is Symmetric, Anti-Symmetric and Transitive on A b) R2 = { (a,b) (b,a) (a,c) (c,a) (c,d) } is Symmetric and Anti-Symmetric c) R3 = { (b,c) ( ... a$\neq$b. True. It is symmetric but not anti-symmetric True. It is anti-symmetric, but not symmetric because (a,b) is present but not (b,a) Thank you.

asked Aug 10 in Set Theory & Algebra by DukeThunders (208 points) | 3 views

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Self Doubt: Set Theory
Which of the following is not a set? (multiple options may be correct) Set of all girls in a class Set of all boys in a class Set of all intelligent boys in a class Set of all boys of age > 10 Set of all boys of age < 10 [closed]

asked Aug 6 in Set Theory & Algebra by Hirak (1.3k points) | 5 views

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Gate 2000 multiset and set theory
A multiset is an unordered collection of elements where elements may repeat any number of times. The size of a multiset is the number of elements in it, counting repetitions. What is the number of multisets of size 4 that can be constructed ... elements so that at least one element occurs exactly twice? Can someone explain the answer with an example of a multiset ?

answered Aug 4 in Set Theory & Algebra by Satbir (1k points) | 14 views

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Self problems
Lim x-->0 [ (cosx - cos(sinx))/x^4 ]= ?? Please!! tell me the best approach to solve this question

asked Jul 25 in Set Theory & Algebra by 69akki (104 points) | 22 views

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Self doubt: Ordered Pair
What is meaning of ordered pair of rational numbers, or ordered pair of integers , or real numbers??

asked Jul 12 in Set Theory & Algebra by srestha (247 points) | 10 views

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1 answer

Group Theory Book
Any standard book for group theory numericals?

answered Jul 11 in Set Theory & Algebra by Masterk (110 points) | 8 views

+1 vote

1 answer

Numbers are Countable or Not?
Why “set of real numbers between $[0,0.1)$” is uncountable? I know real number can go upto any limit. But here range is given. So, why not is it still countable? If real number can be uncountable, then why not rational number cannot be uncountable?

answered Jul 11 in Set Theory & Algebra by Debargha Bhattacharj (1.3k points) | 26 views

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GATE 2005 - 43
I had checked this link. The best answer uses the example of A={0,1,2},B={0,3,4,25},C={3,4,5} f={(0,3),(3,5),(4,4),(25,3)} g={(1,3),(2,4),(0,0)} Say we consider the same sets A,B and C and function g but change function f to the following, f={(0,3),(3,5 ... , h is now h={(0,3),(1,5),(2,3)} In this case, f is onto, g is not onto and h is not onto. So shouldn't the answer be option A ?

asked Jul 6 in Set Theory & Algebra by Chris Jason (102 points) | 5 views

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1 answer

self doubts (functions)
f(x)=3x+2\4x-1 g(x)=x+2\4x-3 1.fog (x)=2x gof (x)=x how to do??

answered Jul 4 in Set Theory & Algebra by toxicdesire (187 points) | 9 views

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#self doubt Function
Whether gof is one -one for the picture given below?

asked Jul 2 in Set Theory & Algebra by kshitij (105 points) | 4 views

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#engineering mathematics
The number of multi sets of size 4 are possible with the elements of the set S={1,2,3,4,5,6} is

answered Jun 30 in Set Theory & Algebra by Arkaprava (212 points) | 7 views

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Rosen 7e Exercise-9.1 page no-582 Relations
Relation R on set of all real numbers (x, y)$\epsilon$R where x=1 how this relation is transitive? please explain?

answered Jun 26 in Set Theory & Algebra by Arkaprava (212 points) | 9 views

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Kenneth rosen (7th edition) chapter 9
Let (S,R) be a poset.show that(S,$R^{-1}$) is also a poset.where $R^{-1}$ is the inverse of R.explain with example.

asked Jun 25 in Set Theory & Algebra by BASANT KUMAR (104 points) | 6 views

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