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| Fig(v) |
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…
Range of relation Let R be a relation from a set A to a set B. Then the of all second components or coordinates of the ordered pairs belonging to R is called the range of R. Thus, Range of R = { b : (a, b) ∈ R} Clearly, range of R ⊆ B…
Pressure The molecules of a gas are in random motion. The rapidly moving molecules continually impact on the surface of the container and its effect is to produce a force over the surface. The force normal to unit area of surface is called pressure acting on the surface. The normal force exerted by the atmosphere…
Thermodynamic equilibrium Thermodynamic state is a condition of a system and is specified by its thermodynamic properties. Thermodynamic Equilibrium of a system is a state such that if the system is isolated from its surroundings no change in thermodynamic properties would occur. A system will be in a state of thermodynamic equilibrium if the conditions…
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…
Difference of sets Let A and B be two sets. The difference of A and B written as A – B, is the set of all those elements of A which do not belong to set B Thus A – B={ x : x ∈ A and x ∉ B} or A – B={ x…
