Macroscopic and Microscopic Approaches | Concept of continuum
Macroscopic and Microscopic Approaches
The behaviour of matter can be studied by two approaches
1. Macroscopic approach, 2. Microscopic approach
The behaviour of matter can be studied by two approaches
1. Macroscopic approach, 2. Microscopic approach
Types of relation Void relation:- Let A be a set. Then, Φ ⊆ A x A and so it is a relation on A. This relation is called the void or empty relation on set A. In other words, a relation R on a set A is called void or empty relation, if no element…
Disjoint sets Two sets A and B are said to be disjoint, if A∩B=Φ. If A∩B≠Φ, then A and B are said to be intersecting or overlapping sets As shown in Fig(vi) Fig(vi) Example If A={ 1, 2, 3, 4, 5, 6 }, B={ 7, 8, 9, 10, 11 } and C= { 6, 8, 10,…
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 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…
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 😡 ∈ R, a ≤ x < b are known as semi-open or semi-closed intervals . (a,…
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…