Conservation of energy

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…

Domain of relation Let R be a relation from a set A to a set B. Then the of all first components or coordinates of the ordered pairs belonging to R is called the domain of R. Thus, domain of R = { a : (a, b) ∈ R} Clearly, domain of R ⊆  A…

Introduction about thermodynamics Energy is the capacity to do work energy cannot be created or destroyed but only can be changed into other forms (principle of conservation of energy). Thermodynamics mainly deals with interaction between heat and work (mechanical energy) and change in the property is associated with these interactions. The interaction between heat and…

State, path and process State A state is condition of system and is specified by its properties. At a given state all the properties of a system have definite values Path Change of state of a system is the consequence of any operation in which properties will change. The series of states through which system…

Semi-Open or Semi-Closed interval If a and b are two real numbers such that a < b, then the sets (a, b] = { x : x ∈ R, a < x ≤ b}  and  [a, b)={ x : x ∈ R, a ≤ x < b  are known  as  semi-open  or  semi-closed intervals ….

Universal set In any discussion in set theory, there always happens to be a set that contains all sets under consideration i.e. it is a super  set of each of the given sets. Such a set is called the universal set and is denoted by U. Thus a set that contains all sets in a…