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Basic Definitions
: Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = B. Cardinality of a Set A: The number of elements in a finite set A, is the cardinality of A and is denoted by n(A)...
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..Sets Introduction
Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance in the foundations o..
Sets
Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematic..
Basic Concepts of Quantifying Effects of Pollution
Basic Concepts of Quantifying Effects of Pollution - Pollution is caused by almost all activities of human beings, either directly or indirectly. Use of mosquito repellent, use of cooking gas, use of diesel / petrol, use of detergent, passing of urine, throwing away wa..
Air Pollution
Air Pollution - The major problem that the atmosphere is being subjected to is pollution. In India, about 100 million tons of pollutants are being added to the atmosphere annually. This figure is likely to go up in future. Polluted air is ..
Air Pollution
Air Pollution - Humans can only live about five minutes without air. Dry air is generally a homogeneous mixture (solution) of nitrogen gas (78%), oxygen gas (21%), and traces of other gases. Some of the other gases are waste products of human activities and a..
Air Pollution
Humans can only live about five minutes without air. Dry air is generally a homogeneous mixture (solution) of nitrogen gas (78%), oxygen gas (21%), and traces of other gases. Some of the other gases are waste products of human activities and are known as air pollu..
Air Pollution
Air is an important natural resource providing the basis of life on earth. Entire biosphere depends on air. Air in the atmosphere provides oxygen to plants and animals, by virtue of which they are able to live. The composition of air (78% N, 21% O, 0.03% CO 2..
Air pollution
We know that air is one of the most essential requirements for all the living organisms. It is therefore imperative that we try and keep the air pure. Technological and industrial progress has vastly affected the quality of air that we breathe in. Because of the dense..
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