The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
GATE Overflow
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
First time here? Checkout the
FAQ
!
x
×
Close
Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
here
Recent questions in Set Theory & Algebra
Recent
Hot!
Most votes
Most answers
Most views
Featured
Previous GATE
Web Page
Sets,
Relations,
Functions,
Partial orders,
Lattices,
Groups.
Recent
Hot!
Most votes
Most answers
Most views
Featured
Previous GATE
0
votes
1
answer
1
Made Easy Test Series:Lattice
The number of totally ordered set compatible to the given POSET are __________
asked
May 20
in
Set Theory & Algebra
by
srestha
Veteran
(
114k
points)

30
views
madeeasytestseries
lattice
0
votes
1
answer
2
Discrete mathematics #TEST_BOOK
I Have doubt about the language. Is it asking about the sum of elements if we make the GBL set for the given lattice .
asked
May 20
in
Set Theory & Algebra
by
Shawn Frost
(
41
points)

25
views
#discrete
#lattice
0
votes
2
answers
3
Made Easy Test Series:Discrete MathematicsPoset
Consider the following Posets: $I)\left ( \left \{ 1,2,5,7,10,14,35,70 \right \},\leq \right )$ $II)\left ( \left \{ 1,2,3,6,14,21,42 \right \},/ \right )$ $III)\left ( \left \{ 1,2,3,6,11,22,33,66 \right \},/ \right )$ Which of the above poset are isomorphic to $\left ( P\left ( S \right ),\subseteq \right )$ where $S=\left \{ a,b,c \right \}?$
asked
May 18
in
Set Theory & Algebra
by
srestha
Veteran
(
114k
points)

31
views
poset
madeeasytestseries
discretemathematics
0
votes
0
answers
4
Discrete Mathematics by Kenneth Rosen,section2.4,recursive functions
$C_{a}^{k}:\mathbb{N}^{k}\rightarrow \mathbb{N}$ I am studying discrete math from beginnings and came across this term in primitive recursive function.I don't know what $C_{a}^{k}$ means and does $\mathbb{N}$ means set of natural numbers?Someone please help me out.
asked
May 15
in
Set Theory & Algebra
by
souren
(
21
points)

31
views
discretemathematics
settheory&algebra
kennethrosen
0
votes
1
answer
5
ISI2018PCBB3
An $n$variable Boolean function $f:\{0,1\}^n \rightarrow \{0,1\} $ is called symmetric if its value depends only on the number of $1’s$ in the input. Let $\sigma_n $ denote the number of such functions. Calculate the value of $\sigma_4$. Derive an expression for $\sigma_n$ in terms of $n$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

10
views
isi2018pcbb
engineeringmathematics
discretemathematics
settheory&algebra
functions
descriptive
0
votes
1
answer
6
ISI2018PCBA4
Let $A$ and $B$ are two nonempty finite subsets of $\mathbb{Z}$, the set of all integers. Define $A+B=\{a+b:a\in A,b\in B\}$.Prove that $A+B\geq A +B 1 $, where $S$ denotes the cardinality of finite set $S$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

16
views
isi2018pcba
engineeringmathematics
discretemathematics
settheory&algebra
descriptive
0
votes
1
answer
7
ISI2018MMA15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
asked
May 11
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

8
views
isi2018
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
votes
0
answers
8
Rosen 7e Exercise9.6 Question no27 page no631
What is the covering relation of the partial ordering {(A, B)  A ⊆ B} on the power set of S, where S = {a, b, c}? i'm getting R={(Ф, {a}), (Ф, {b}), (Ф, {c}), (Ф, {a, b}), (Ф, {b, c}), (Ф, {a, c}), (Ф, {a, b, c}), ({a}, {a, b}), ({a}, {a, c}), ({b}, ... b, c}), ({c}, {a, c}), ({c}, {b, c}), ({a, b}, {a, b, c}), ({a, c}, {a, b, c})({b, c}, {a, b, c})
asked
May 10
in
Set Theory & Algebra
by
aditi19
Active
(
3.5k
points)

39
views
kennethrosen
discretemathematics
relations
settheory&algebra
settheory
sets
+1
vote
0
answers
9
Which Statement is correct for the given sets statements
If A, B, C are three sets then which of the following is TRUE ? If ( A ∩ C ) = ( B ∩ C ) then A = B If ( A ∪ C ) = ( B ∪ C ) then A = B If ( A ? C ) = ( B ? C ) then A = B If ( A – C ) = ( B – C ) then A = B
asked
May 10
in
Set Theory & Algebra
by
pranay91331
(
43
points)

25
views
settheory&algebra
sets
discretemathematics
+1
vote
1
answer
10
ISI2019MMA19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
asked
May 7
in
Set Theory & Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

159
views
isi2019
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
votes
1
answer
11
IIT Madras MS written test 2019
Which of the following infinite sets have the same cardinality? $\mathbb{N}$ : Set of Natural numbers $\mathbb{E}$ : Set of Even numbers $\mathbb{Q}$ : Set of Rational numbers $\mathbb{R}$ : Set of Real numbers $\mathbb{N}$ and $\mathbb{E}$ $\mathbb{Q}$ and $\mathbb{R}$ $\mathbb{R}$ and $\mathbb{N}$ None of the above
asked
May 2
in
Set Theory & Algebra
by
SPluto
Junior
(
609
points)

72
views
iitmadras
ms
writtentest
2019
0
votes
1
answer
12
SelfDoubt:Mathematical logic
“Every asymmetric relation is antisymmetric” Is this statement is True or False? I think it is false, because asymmetric relation never allows loops and antisymmetric relation allows loops. Am I not correct?
asked
Apr 27
in
Set Theory & Algebra
by
srestha
Veteran
(
114k
points)

23
views
discretemathematics
0
votes
0
answers
13
POSET self doubt
What is dual of a POSET?
asked
Apr 27
in
Set Theory & Algebra
by
aditi19
Active
(
3.5k
points)

33
views
lattice
selfdoubt
settheory&algebra
relations
partialorder
0
votes
1
answer
14
Allen Career Institute: Discrete Math
Let $f : A \rightarrow B$ be a bijection and let $E,F$ be subjects of $A$, Now, we consider the following statements about the function $f :$ $P : f(E \cup F) = f (E) \cup f(F)$ ... None of $P$ and $Q$ is correct I thought $Q$ is true, but answer is both true. Is both true because of bijective function or ans given incorrect?
asked
Apr 25
in
Set Theory & Algebra
by
srestha
Veteran
(
114k
points)

48
views
discretemathematics
0
votes
1
answer
15
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
in
Set Theory & Algebra
by
aditi19
Active
(
3.5k
points)

36
views
kennethrosen
discretemathematics
relations
equivalenceclasses
0
votes
0
answers
16
Bounded lattice
Can a countable infinite lattice be bounded?
asked
Apr 20
in
Set Theory & Algebra
by
Manoj Kumar Pandey
(
179
points)

40
views
lattice
0
votes
1
answer
17
Self doubt group theory
Is (Z+,>=) a well oerderd set ,plz explain.
asked
Apr 17
in
Set Theory & Algebra
by
Manoj Kumar Pandey
(
179
points)

49
views
sets
0
votes
0
answers
18
Kenneth Rosen Edition 7th Exercise 2.3 Question 74 (Page No. 155)
Prove or disprove each of these statements about the floor and ceiling functions. $\left \lfloor \left \lceil x \right \rceil \right \rfloor = \left \lceil x \right \rceil$ for all real numbers $x.$ ... $x$ and $y.$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

23
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
19
Kenneth Rosen Edition 7th Exercise 2.3 Question 73 (Page No. 155)
Prove or disprove each of these statements about the floor and ceiling functions. $\left \lceil \left \lfloor x \right \rfloor \right \rceil = \left \lfloor x \right \rfloor$ for all real number $x.$ ... $x.$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

30
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
20
Kenneth Rosen Edition 7th Exercise 2.3 Question 72 (Page No. 155)
Suppose that $f$ is a function from $A$ to $B$, where $A$ and $B$ are finite sets with $A=B$. Show that $f$ is onetoone if and only if it is onto.
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

28
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
21
Kenneth Rosen Edition 7th Exercise 2.3 Question 71 (Page No. 155)
Let $S$ be a subset of a universal set $U$. The characteristic function $f_{s}$ of $S$ is the function from $U$ to the set $\left \{ 0,1 \right \}$ such that $f_{S}(x)=1$ if $x$ belongs to $S$ and $f_S(x)=0$ if $x$ does not belong to $S$. Let $A$ ... $f_{A \oplus B}(x) = f_{A}(x) + f_{B}(x) 2 f_{A}(x) f_{B}(x) $
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

17
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
22
Kenneth Rosen Edition 7th Exercise 2.3 Question 70 (Page No. 155)
Suppose that $f$ is an invertible function from $Y$ to $Z$ and $g$ is an invertible function from $X$ to $Y$. Show that the inverse of the composition $fog$ is given by $(fog)^{1} = g^{1} o f^{1}.$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

23
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
23
Kenneth Rosen Edition 7th Exercise 2.3 Question 69 (Page No. 155)
Find the inverse function of $f(x) = x^3 +1.$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

28
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
24
Kenneth Rosen Edition 7th Exercise 2.3 Question 68 (Page No. 155)
Draw graphs of each of these functions. $f(x) =$ $\left \lceil 3x2 \right \rceil$ $f(x) =$ $\left \lceil 0.2x \right \rceil$ $f(x) =$ $\left \lfloor 1/x \right \rfloor$ $f(x) =$ $\left \lfloor x^2 \right \rfloor$ ... $f(x) =$ $\left \lfloor 2\left \lceil x/2 \right \rceil +1/2\right \rfloor$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

19
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
25
Kenneth Rosen Edition 7th Exercise 2.3 Question 67 (Page No. 155)
Draw graphs of each of these functions. $f(x) =$ $\left \lfloor x+1/2 \right \rfloor$ $f(x) =$ $\left \lfloor 2x+1 \right \rfloor$ $f(x) =$ $\left \lceil x/3 \right \rceil$ $f(x) =$ $\left \lceil 1/x \right \rceil$ ... $f(x) =$ $\left \lceil \left \lfloor x12 \right \rfloor + 1/2\right \rceil$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

23
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
26
Kenneth Rosen Edition 7th Exercise 2.3 Question 66 (Page No. 155)
Draw the graph of the function $f(n) =$ $\left \lceil x \right \rceil +\left \lceil x/2 \right \rceil$ from $R$ to $R$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

12
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
27
Kenneth Rosen Edition 7th Exercise 2.3 Question 65 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor x \right \rfloor +\left \lfloor x/2 \right \rfloor$ from $R$ to $R$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

19
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
28
Kenneth Rosen Edition 7th Exercise 2.3 Question 64 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor x/2 \right \rfloor$ from $R$ to $R$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

15
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
29
Kenneth Rosen Edition 7th Exercise 2.3 Question 63 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor 2x \right \rfloor$ from $R$ to $R$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

20
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
30
Kenneth Rosen Edition 7th Exercise 2.3 Question 62 (Page No. 155)
Draw the graph of the function $f(n) = 1n^2$ from $Z$ to $Z$
asked
Apr 11
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
11.7k
points)

5
views
kennethrosen
discretemathematics
settheory&algebra
Page:
1
2
3
4
5
6
...
46
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
IIT Kanpur MS Interview experience
My GATE preparation and what you can learn from it
IIT Bombay RA (2019) Programming Questions
COAP Round 1 has started
MTECH (COUURSE WORK) AI INTERVIEW EXPERIENCE 2019
All categories
General Aptitude
1.7k
Engineering Mathematics
7.4k
Discrete Mathematics
5.2k
Mathematical Logic
2.1k
Set Theory & Algebra
1.4k
Combinatory
898
Graph Theory
801
Probability
989
Linear Algebra
686
Calculus
497
Digital Logic
2.9k
Programming & DS
4.9k
Algorithms
4.3k
Theory of Computation
6k
Compiler Design
2k
Operating System
4.2k
Databases
4.1k
CO & Architecture
3.4k
Computer Networks
4.2k
Non GATE
1.4k
Others
1.6k
Admissions
591
Exam Queries
643
Tier 1 Placement Questions
23
Job Queries
72
Projects
23
Follow @csegate
Recent questions in Set Theory & Algebra
Recent Blog Comments
It was free when I gave them, maybe they made it...
The tests are there but it ain't free. Cost is...
They removed their tests recently, I think it'll...
how did you get Success gateway test series for...
49,721
questions
53,593
answers
185,825
comments
70,878
users