Get Way Learning
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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,…
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…
Complement of a set Let U be the universal set and let A be a set such that A ⊂ U. Then the complement of A with respect to U is denoted by A’ or Ac or U-A and is defined the set of all those elements of U which are not in A. Thus…
The Sea Guardians, the maritime variant of the Predator MQ-9s are actually what that were recently inducted into the Indian Navy? Q2 – The Sea Guardians, the maritime variant of the Predator MQ-9s are actually what that were recently inducted into the Indian Navy? Answer – Drones Q1 – In the first week of December 2020, the…
Theorem 3 The total number of subsets of a finite set containing n elements is 2ⁿ. Proof Let A be a finite set containing n elements.Let 0 ≤ r ≤ n. Consider those subset,of A that have r elements each.We know that the number of ways in which r elements can be chosen…
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…