Union of sets
Union of sets
Fig(iv)
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Fig(iv)
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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).
Quasi-static process A process during which the system remains nearly close to an equilibrium state is called Quasistatic process. In other words departure of the state of a system from Thermodynamic Equilibrium state will be Infinitesimally small. Quasi-static process Consider a system as shown in figure the system initially is in equilibrium state as weights…
Energy in a state Stored energy is the energy possessed by a system. Stored energy in the system is called energy in a state. It is associated with a state. It change depends only on the end states of the process and not on the path of…
First Law of a Closed System Undergoing a Cycle : The first law of thermodynamics states that during any cycle a system undergoes the cyclic integral of heat is equal to the cyclic integral of the work. Fig.1 First Law of Thermodynamics To illustrates this, consider the gas as a system in…
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…
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…