algebraic 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 operation *..

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, b S a * b = b ..

(1) '+' is a binary operation on the set of naturals. (2) '.' is a binary operation on the set of naturals. (iv) Addition, subtraction and multiplication are binary operations on ..

Let * be a binary operation on the set S. * is said to be associative in S if " a, b S a * b = b ..

Summary - In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical symbols. We now arrive at a formula. In a given sentence, the variables are replaced by letters and the different operations are replaced by their..

A is called the composite function of f and g. (ii) If f and g be functions from A to A then fog and gof are both defined. In general fog gof. A function from A x A into A is called a binary operation on A..

Let us refer to a circuit consisting of two switches p and q connected in parallel with a lamp and battery as shown in figure. In this case, the lamp will glow if and only if at least one of the switches is closed. In binary language we say the switch will glow if at least one of the values of p..

Let us refer to a circuit consisting of two switches p and q connected in series with a lamp and battery as shown in figure. The lamp will glow, only if switch p and switch q are closed. If we replace the word 'closed' by T and 'open' by F, the switch will glow only if p = T and q = T. In binary..

Boolean Algebra as an Algebraic Structure - Boolean Algebra is an algebraic structure defined by a set of elements B, together with two operations, + and . satisfying the following axioms (Hunington postulates..

An expression consisting of combinations of binary operations +, . and unary operation and a finite number of elements of a Boolean algebra is called a Boolean functio..