Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Kenneth Rosen Edition 7 Exercise 2.5 Question 39 (Page No. 177)
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
238
views
0
votes
0
votes
We say that a function is computable if there is a computer program that finds the values of this function. Use question $37$ and $38$ to show that there are functions that are not computable.
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
by
admin
238
views
answer
comment
Follow
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
0
Answers
← Previous
Next →
← Previous in category
Next in category →
Related questions
1
vote
1
vote
2
answers
1
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
634
views
Kenneth Rosen Edition 7 Exercise 2.5 Question 40 (Page No. 177)
Show that if $S$ is a set, then there does not exist an onto function $f$ from $S$ to $P(S),$ the power set of $S$. Conclude that $\mid S\mid < \mid P(S)\mid .$ This result is known as Cantor's theorem. [Hint: Suppose such a function ... $s$ can exist for which $f (s) = T.]$
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
by
admin
634
views
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
1
vote
1
vote
1
answer
2
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
684
views
Kenneth Rosen Edition 7 Exercise 2.5 Question 38 (Page No. 177)
Show that the set of functions from the positive integers to the set $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$ is uncountable. [Hint: First set up a one-to-one correspondence between the set of real numbers between $0$ and $1$ and a subset of ... to the real number $0.\:d_{1}d_{2} \dots d_{n}\dots $ the function $f$ with $f (n) = dn.]$
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
by
admin
684
views
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
0
votes
0
votes
0
answers
3
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
258
views
Kenneth Rosen Edition 7 Exercise 2.5 Question 37 (Page No. 177)
Show that the set of all computer programs in a particular programming language is countable. [Hint: A computer program written in a programming language can be thought of as a string of symbols from a finite alphabet.]
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
by
admin
258
views
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
0
votes
0
votes
0
answers
4
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
244
views
Kenneth Rosen Edition 7 Exercise 2.5 Question 36 (Page No. 177)
Show that there is a one-to-one correspondence from the set of subsets of the positive integers to the set real numbers between $0$ and $1$. Use this result and question $34$ and $35$ to conclude that $ℵ_{0} < \mid P(Z^{+})\mid =\mid R\mid.\:[$Hint: Look at the first part of the hint for Exercise $35.]$
admin
asked
in
Set Theory & Algebra
Apr 21, 2020
by
admin
244
views
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
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
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Discrete Mathematics
(7.1k)
Mathematical Logic
(2.5k)
Set Theory & Algebra
(1.9k)
Combinatory
(1.6k)
Graph Theory
(1.1k)
Probability
(1.4k)
Linear Algebra
(1.1k)
Calculus
(792)
Optimization
(0)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
