Advanced Math Question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Set is a collection or group of finite or infinite no. of object or elements of some particular category.

A Set is denoted with  with uppercase(CAPITAL) letter and Element of the set is denoted by lowercase .

Element of the set is always listed inside the curly brackets { } in following three ways which are also known as Set notations:.

(a) Roaster form- Simply finite no. of elements are listed inside { } separated by comma (,)

For example : If we need to list factor of 10 in a set. let us denote the set by 'T' .

Then T={1,2,5,10}

(b)Set-builder form: Properties of Finite or Infinite no. of elements are described in { }.

For example B={x l x is divisible by 2} where 'l' denote such that.

(c) Null set-A set is consist of no element is simply denote by empty curly bracket "{ }" or "ϕ"

For example- A set of country where dinosaur exist is B=ϕ 

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