reflexive relation

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 For example, (i) a triangle 'is congruent to' itself. (ii) 5 is a multiple of'..

If a relation is (i) reflexive, (ii) transitive and, (iii) symmetric, then it is called an equivalence relation. For example, (i) is congruent to (ii) is parallel to (iii) is similar to, are some examples of equivalence relations..

A relation which is reflexive, symmetric and transitive is called the Equivalence relation. i.e., A relation R in a set A is called equivalence if it satisfies the following conditions. ..

Summary Ordered Pairs and Cartesian Product - An ordered pair has a pair of elements which occur in a definite order. An ordered pair has a pair of elements which occur in a definite order. Cartesian Product - Given two sets A and B, all possible ordered pairs (x, y) obtained such that x A and y B ..

(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..

from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an e..

An ordered pair has a pair of elements which occur in a definite order. An ordered pair has a pair of elements which occur in a definite order. Cartesian Product - Given two sets A and B, all possible ordered pairs (x, y) obtained such that x A and y B is called the cartesian product of th..

), peripheral nervous system (PNS) and autonomic nervous system (ANS). The CNS is made up of brain and spinal cord. Brain has different areas that are responsible for specific functions. The areas are divided into: - sensory nerves that receives messages from the body - motor nerves that sends mess..

With increasing complexity, the organisms have had to develop means of control and coordination between the different parts of the body. Coordination is necessary for acting as one unit and to maintain the homeostasis or steady state within the body. Control and coordination in animal..

Summary - With increasing complexity, the organisms have had to develop means of control and coordination between the different parts of the body. Coordination is necessary for acting as one unit and to maintain the homeostasis or steady state within the body. Control and coordination in animals is..