problems related to 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..

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 ..

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 se..

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 v..

Binary fission involves mitosis only and hence the resultant individuals are genetically identical to each other and to the parent. It is the simplest and most common method of asexual reproduction. The whole parental body acts as the reproductive unit. The nucleus of the unicellular pare..

The binary acids (acids containing hydrogen and one more element) are named by adding the prefix hydro- and suffix ic to the name of second element. Example: Acid of hydrogen and chlorine (HCl) is hydrochloric acid. Acid of hydrogen and fluorine (HF) is hydrofluoric aci..

Binary compounds are compounds containing only two elements. If one of the two is a metal (or ammonium), then the suffix - ide , is added to the non-metal atom. Remember : NaCl - Sodium chloride CaO - Calcium oxide AlN - Aluminium nitride If atoms of two elements form more than..

Examples of Binary Systems in Nature - A binary system is one in which two heavenly bodies revolve about a common centre of mass. (The word binary means tw..

When the plane of cytoplasmic division coincides with the longitudinal axis of the individual, the fission is called longitudinal binary fission. Example: Euglena Binary Fission in Amoe..