Mathematics Exam > Mathematics Videos > Mathematics for Competitive Exams > Neighbourhood of a Point and Deleted Neighbourhood of a Point
Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture | Mathematics for Competitive Exams
|
98 videos|27 docs|30 tests
|
FAQs on Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture - Mathematics for Competitive Exams
| 1. What is the definition of a neighborhood of a point? |  |
Ans. In mathematics, a neighborhood of a point is a set that contains all the points near that point. It can be visualized as a small open interval or region surrounding the point. The neighborhood is often denoted as N(x), where x is the point.
| 2. How is a neighborhood of a point different from a deleted neighborhood of a point? | |
Ans. A neighborhood of a point includes the point itself, while a deleted neighborhood of a point excludes the point itself. In other words, a deleted neighborhood is obtained by removing the point from its corresponding neighborhood.
| 3. What does it mean for a point to be an interior point of a set? | |
Ans. A point is said to be an interior point of a set if it has a neighborhood completely contained within the set. In simpler terms, the point is surrounded by other points from the same set without venturing outside of it.
| 4. How are neighborhoods and deleted neighborhoods used in topology? | |
Ans. Neighborhoods and deleted neighborhoods are fundamental concepts in topology, which is the branch of mathematics that studies the properties of space. These concepts help define open sets, continuity, and convergence. They provide a framework for understanding the topological structure of spaces and the behavior of functions.
| 5. Can you provide an example of a neighborhood and a deleted neighborhood? | |
Ans. Sure! Let's consider the real number line. If we have a point x = 2, a neighborhood of this point could be the interval (1, 3), which includes the point itself. On the other hand, a deleted neighborhood of x = 2 could be the interval (1, 2) ∪ (2, 3), where the point 2 is excluded.
Related Exams
About this Video
|
4.92/5 Rating |
|
Dec 23, 2024 Last updated |
Video Description: Neighbourhood of a Point and Deleted Neighbourhood of a Point for Mathematics 2024 is part of Mathematics for Competitive Exams preparation.
The notes and questions for Neighbourhood of a Point and Deleted Neighbourhood of a Point have been prepared according to the Mathematics exam syllabus.
Information about Neighbourhood of a Point and Deleted Neighbourhood of a Point covers all important topics for Mathematics 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Neighbourhood of a Point and Deleted Neighbourhood of a Point.
Introduction of Neighbourhood of a Point and Deleted Neighbourhood of a Point in English is available as part of our Mathematics for Competitive Exams for Mathematics & Neighbourhood of a Point and Deleted Neighbourhood of a Point in
Hindi for Mathematics for Competitive Exams course. Download more important topics related with notes, lectures and mock test series for
Mathematics Exam by signing up for free.
Description
Video Lecture & Questions for Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture | Mathematics for Competitive Exams - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Mathematics for Competitive Exams.
Information about Neighbourhood of a Point and Deleted Neighbourhood of a Point
Here you can find the meaning of Neighbourhood of a Point and Deleted Neighbourhood of a Point defined & explained in the simplest way possible.
Besides explaining types of Neighbourhood of a Point and Deleted Neighbourhood of a Point theory, EduRev gives you an ample number of questions to practice Neighbourhood of a Point and Deleted Neighbourhood of a Point tests,
examples and also practice Mathematics tests.
|
98 videos|27 docs|30 tests
|
|
Explore Courses for Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
ppt
,Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture | Mathematics for Competitive Exams
,mock tests for examination
,Exam
,study material
,shortcuts and tricks
,Important questions
,MCQs
,Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture | Mathematics for Competitive Exams
,Objective type Questions
,Semester Notes
,Viva Questions
,practice quizzes
,video lectures
,Summary
,Previous Year Questions with Solutions
,Extra Questions
,past year papers
,Neighbourhood of a Point and Deleted Neighbourhood of a Point Video Lecture | Mathematics for Competitive Exams
,Sample Paper
,Free
;
Study Neighbourhood of a Point and Deleted Neighbourhood of a Point on the App
Students of Mathematics can study Neighbourhood of a Point and Deleted Neighbourhood of a Point alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Neighbourhood of a Point and Deleted Neighbourhood of a Point,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Neighbourhood of a Point and Deleted Neighbourhood of a Point is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup