Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..
Binary Operations
Binary Operations - Binary Operations are as given below, Commutative Law Associative Law Let S be any non-empty set. An operation * is called a binary operation on S if " a, b Î S a * b Î SLet S be any non-empty set. An h..
Binary Operations
binary operation: Let S be any non-empty set. An operation * is called a binary operation on S if " a, b S a * b S Commutative law: Let * be a binary operation on the set S. * is said to be associative in S if " a..
Basic Definitions
Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set..
Sets
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 . Important terms in Sets are:..
Determine if the set of natural numbers and the operation of multiplic..
Determine if the set of natural numbers and the operation of multiplication form a field. => Yes or No..
Some Basic Features of Sulphur Trioxide
Formula of Sulphur Trioxide: SO 3 Relative Molecular Mass: 80 Sulphur trioxide is prepared by the catalytic oxidation of sulphur dioxide. To prepare it, set up an apparatus as shown in figure 7.9. Dry sulphur dioxide and dry oxygen are sent into a combustion tube. The combustion tube cont..
Formula of Sulphur Trioxide: SO 3 Relative Molecular Mass: 80 Sulphur trioxide is prepared by the catalytic oxidation of sulphur dioxide. To prepare it, set up an apparatus as shown in figure 7.9. Dry sulphur dioxide and dry oxygen are sent into a combustion tube. The combustion tube cont..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 Summary
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not i..
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not i.. Result
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