Open Interval

Relation Let A and B be two sets. Then a relation from set A to B is a subset of A × B. Thus, R is a relation from A to B⇔R ⊆ A × B. If R is a relation from a non-void set A to non-void set B and my if (a, b)…

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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…

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…

First Law for a Closed System Undergoing a Quasi-static process In many occasions it is necessary to consider a system undergoing a process rather than a cycle. The equation, ∮ dQ − ∮ dW = 0 is applicable during the system undergoing a cycle, and algebraic sum of all energies transfer across the system boundary…

Intersection of sets Let A and B be two sets. The intersection of A and B is the set of all those elements that belongs to both A and B. See in Fig(v) shaded region show A∩B We denote A intersection B by notation “A ∩ B” Thus  A∩B = { x : x ∈…