summary of relation properties

(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc (iii) R is symmetric if aRb implies bRa. A relation which is reflexive, transitive, and symmetric is called an equivalence relation..

Summary of Relation properties - (i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc (iii) R is symmetric if aRb implies bRa. A relation which is reflexive, transit..

. The three quantities, c , the relative magnetic permeability m r , and the magnetic permeability are related as follows: m = m 0 m r m r = 1+x Magnetic materials are broadly classified as: diamagnetic, paramagnetic, and ferromagnetic. For diamagnetic materials c is negative an..

Properties of Relations - Consider the set A = {a, b, c, } then any subset of A x A is called a relation in A. Let R be any relation in A so that R is a subset of the product set A x A. We will discuss the properties a relation may possess..

Reflexive property: A relation R in a set A is said to be reflexive if every element of the set A is related to itself. This is if aRa where a A, or (a, a) R for each a A. Transitive property: A relation R, is said to be tra..

A pair of objects, written in a specified order is called an ordered pair . A pair of objects, written in a specified order is called an ordered pair . For the ordered pair (a,b), a is called the first element and b, the second element. The ordered pairs (a,b) and (c,d) are equal if th..

A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operation..

Pure substances are made up of only one type of constituent particles. They are homogenous and have a definite set of properties characteristic of themselve..

Molecular mass is the average relative mass of a molecule of the substance as compared with mass of an atom of carbon (C-12) taken as 12 a.m...

A function is a relation on A x B is which A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element. Every function is either one-one onto or one-one into or many-one onto..