Venn Diagrams | Set

Function as a correspondence   Let A and B be two non-empty sets. Then a function ‘f ‘ from set A  to set B is a rule or method or correspondence which associates elements of set A to elements of set B such  that: Fig. 2(a) (i) all elements of set A are associated to…

Function as a machine A function can also be regarded as a machine that gives unique output in set B corresponding to each input from the set A just as the function ‘machine’ shown in Fig. 2(b). Which generate an output  y = 2×3 + 5 for each input x. Fig. 2(b)          Usually real…

Function as a set of ordered pairs     Let  A and B be two non-empty sets. A relation f from A to B i.e   a subset of A × B is called a function (or a mapping or a map) from A to B, if i) for each a ∈ A there  exists b ∈ B…

SI (System of international) system of units The SI system consists of seven basic units and two supplementary units. These are represented in table 1 . The unit for other quantities are derived from the basic units which are given in table 2. It is convenient to use prefix to avoid the use of very…

Energy interaction (Transition)             An energy interaction or transition is said to occur or to exist between two systems when one system influences a sustains the state of the other system. Thermodynamics mainly studies the interactions between heat and work and associated property change of the system In otherwords Energy…

Open interval  If a and b are two real numbers such that a < b, then the set of all real numbers x satisfying a  x  b is called an open interval  and is  denoted by (a, b) or ]a, b[ .   Thus,  (a,b) = (x: x ∈ R, a < x < b).