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Recent questions tagged countable-uncountable-set
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TIFR CSE 2022 | Part A | Question: 3
A binary string is a sequence of $0 \text{'s}$ and $1\text{'s}.$ A binary string is finite if the sequence is finite, otherwise it is infinite. Examples of finite binary strings include $00010100$, and $1111101010.$ Which of ... set of all finite binary strings is countable while whether the set of all infinite binary strings is countable or not is not known
Lakshman Patel RJIT
asked
in
Theory of Computation
Sep 1
by
Lakshman Patel RJIT
84
views
tifr2022
theory-of-computation
countable-uncountable-set
0
votes
0
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Michael Sipser Edition 3 Exercise 4 Question 9 (Page No. 211)
Review the way that we define sets to be the same size in Definition $4.12$ (page $203$). Show that “is the same size” is an equivalence relation.
Lakshman Patel RJIT
asked
in
Theory of Computation
Oct 17, 2019
by
Lakshman Patel RJIT
315
views
michael-sipser
theory-of-computation
turing-machine
countable-uncountable-set
proof
0
votes
0
answers
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Michael Sipser Edition 3 Exercise 4 Question 8 (Page No. 211)
Let $T = \{(i, j, k)\mid i, j, k \in N \}$. Show that $T$ is countable.
Lakshman Patel RJIT
asked
in
Theory of Computation
Oct 17, 2019
by
Lakshman Patel RJIT
305
views
michael-sipser
theory-of-computation
turing-machine
countable-uncountable-set
proof
30
votes
3
answers
4
GATE CSE 2019 | Question: 34
Consider the following sets: S1: Set of all recursively enumerable languages over the alphabet $\{0, 1\}$ S2: Set of all syntactically valid C programs S3: Set of all languages over the alphabet $\{0,1\}$ S4: Set of all non-regular languages over the alphabet $\{ 0,1 \}$ Which of the above sets are uncountable? S1 and S2 S3 and S4 S2 and S3 S1 and S4
Arjun
asked
in
Theory of Computation
Feb 7, 2019
by
Arjun
9.3k
views
gatecse-2019
theory-of-computation
countable-uncountable-set
2-marks
2
votes
2
answers
5
GATE Overflow | Mock GATE | Test 1 | Question: 46
Which of the following statements is/are not correct? (P) The class of all Turing Machines is countably infinite (Q) The class of all DCFL's is countably infinite (R) The class of all formal languages is uncountably infinite (S) The set of all primes is countably infinite Only R Only R and S All are incorrect except P None of the above
Ruturaj Mohanty
asked
in
Theory of Computation
Dec 27, 2018
by
Ruturaj Mohanty
2.5k
views
go-mockgate-1
countable-uncountable-set
theory-of-computation
1
vote
3
answers
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doubt
How to check any set is countable or not
bhavnakumrawat5
asked
in
Theory of Computation
Sep 30, 2018
by
bhavnakumrawat5
237
views
countable-uncountable-set
0
votes
2
answers
7
countability
whether the given sets countable or uncountable? 1. the set of all finite partitions of N 2. the set of all non-increasing functions from N to N. 3. the set of all non-decreasing functions from N to N. here, N is natural numbers. please give answer with proper explanation, as i already have one word answer for all of the problems above.
aambazinga
asked
in
Theory of Computation
Sep 20, 2018
by
aambazinga
474
views
theory-of-computation
countable-uncountable-set
2
votes
1
answer
8
Countable and Uncountable Self Doubt 2
Which of the following is always correct? A. Cross product of two countable set is countable B. Cross product of two countable set is uncountable C. Cross product of two uncountable set is countable D. Cross product of uncountable ... E. Cross product of uncountable and countable set is countable F. Cross product of uncountable and countable set is uncountable
smsubham
asked
in
Set Theory & Algebra
Sep 11, 2018
by
smsubham
588
views
theory-of-computation
countable-uncountable-set
set-theory&algebra
3
votes
0
answers
9
Countable and uncountable Self Doubt 1
which of the following is always correct? A. Union of two uncountable set is uncountable B. The intersection of two uncountable set is uncountable C. Union of two uncountable set is countable D. The intersection of two uncountable set is ... is countable I. The complement of a countable set is countable. J. The complement of a countable set is uncountable.
smsubham
asked
in
Set Theory & Algebra
Sep 11, 2018
by
smsubham
629
views
countable-uncountable-set
theory-of-computation
set-theory&algebra
1
vote
0
answers
10
Countability and Well Ordering
Is there any relation between countability and well ordering? I mean if a set is well ordered, does it have any influence on it being countable and vice versa?
Lakshay Kakkar
asked
in
Set Theory & Algebra
Aug 19, 2018
by
Lakshay Kakkar
298
views
countable-uncountable-set
0
votes
0
answers
11
Countable uncountable functions
How the set of all non-decreasing functions from N to N are countable? How the set of all finite partitions of N are uncountable?
aambazinga
asked
in
Theory of Computation
Jul 15, 2018
by
aambazinga
541
views
theory-of-computation
countable-uncountable-set
42
votes
6
answers
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GATE CSE 2018 | Question: 27
Let $N$ be the set of natural numbers. Consider the following sets, $P:$ Set of Rational numbers (positive and negative) $Q:$ Set of functions from $\{0,1\}$ to $N$ $R:$ Set of functions from $N$ to $\{0, 1\}$ $S:$ Set of finite subsets of $N$ Which of the above sets are countable? $Q$ and $S$ only $P$ and $S$ only $P$ and $R$ only $P, Q$ and $S$ only
gatecse
asked
in
Set Theory & Algebra
Feb 14, 2018
by
gatecse
16.3k
views
gatecse-2018
set-theory&algebra
countable-uncountable-set
normal
2-marks
1
vote
1
answer
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MadeEasy Test Series 2018: Theory Of Computation - Countable Set
Rishi yadav
asked
in
Theory of Computation
Jan 4, 2018
by
Rishi yadav
283
views
made-easy-test-series
theory-of-computation
countable-uncountable-set
4
votes
1
answer
14
Test by Bikram | Mock GATE | Test 4 | Question: 17
Let the set of all natural numbers be $N$. Which of the following are countable sets? The set of all functions from $N$ to $\{0, 1\}$ The set of all functions from $\{0, 1\}$ to $N$ The largest subset of $N$ I, II, and III I and II only II and III only I and III only
Bikram
asked
in
Set Theory & Algebra
May 14, 2017
by
Bikram
283
views
tbb-mockgate-4
discrete-mathematics
set-theory&algebra
set-theory
countable-uncountable-set
0
votes
1
answer
15
theory of computation
Consider the following statements. S1 : union of any finite number of countable sets is countable. S2 : union of infinite number of countable sets is countable S3 : cross product of any finite number of countable sets is countable. S4 : cross product of infinite number of countable sets is ... A) Only S1 B) Only S1) and S3) C) Only S1),S2),S3) D) All of S1),S2),S3),S4)
vignesh
asked
in
Theory of Computation
Apr 23, 2017
by
vignesh
325
views
theory-of-computation
countable-uncountable-set
0
votes
1
answer
16
Countable and recursive language relation
Is every countable language recursive enumerable?
Purple
asked
in
Theory of Computation
Jan 27, 2017
by
Purple
324
views
theory-of-computation
recursive-and-recursively-enumerable-languages
countable-uncountable-set
0
votes
1
answer
17
Contable and UnCountable sets!
smartmeet
asked
in
Theory of Computation
Jan 12, 2017
by
smartmeet
1.5k
views
set-theory&algebra
theory-of-computation
countable-uncountable-set
regular-language
0
votes
1
answer
18
Gate Practice questions
If the set of all words over alphabet S is countable then Any language over S must be finite. at least one language over must be uncountable. any language over S is countable. each language over S is finite
Ravi_1511
asked
in
Theory of Computation
Nov 8, 2016
by
Ravi_1511
361
views
countable-uncountable-set
theory-of-computation
1
vote
1
answer
19
Set Concept
Why it is that if we can list the element of set in a sequence then it is countable? I mean how it can be a necessary and sufficient condition for a set to be Countable.Because we can provide sequence no to any set.Cann't we?And how can an infinity set be countable, as it is already infinity?
Sarvottam Patel
asked
in
Set Theory & Algebra
Jul 27, 2016
by
Sarvottam Patel
323
views
set-theory
countable-uncountable-set
0
votes
1
answer
20
Which of the following is/are not true?
(a) The set of negative integers is countable. (b) The set of integers that are multiples of 7 is countable. (c) The set of even integers is countable. (d) The set of real numbers between 0 and 1/2 is countable.
im.raj
asked
in
Set Theory & Algebra
May 26, 2016
by
im.raj
1.4k
views
countable-uncountable-set
18
votes
4
answers
21
GATE CSE 1994 | Question: 3.9
Every subset of a countable set is countable. State whether the above statement is true or false with reason.
Kathleen
asked
in
Set Theory & Algebra
Oct 6, 2014
by
Kathleen
2.1k
views
gate1994
set-theory&algebra
normal
set-theory
countable-uncountable-set
true-false
30
votes
4
answers
22
GATE CSE 1997 | Question: 3.4
Given $\Sigma=\{a,b\}$, which one of the following sets is not countable? Set of all strings over $\Sigma$ Set of all languages over $\Sigma$ Set of all regular languages over $\Sigma$ Set of all languages over $\Sigma$ accepted by Turing machines
Kathleen
asked
in
Theory of Computation
Sep 29, 2014
by
Kathleen
9.3k
views
gate1997
theory-of-computation
normal
countable-uncountable-set
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