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What is Partially Ordered Set? Let S = {a,b,c} and A = P(S). Draw the Hasse diagram of the poset A with the partial order ⊆ (set inclusion).
Ans: Let R be a relation defined on a non-empty set A. The mathematical structure (A, R) is set to be a Partial order set or poset if the relation R is a partial order relation on A.
Any relation R defined on a non-empty set A is said to be a Partial Order Relation, if R is
A partial order relation is denoted by the symbol '≤'. A general notation for a poset is (A, ≤), where A is any non-empty set and '≤' is any partial order relation defined on the set A. The Hasse diagram for the poset (P(S), ⊆) is as below. The poset has 8 elements - 8 possible subsets of S. Null set is the minimum element and S itself is the maximal element.
Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB. R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle AB
poa is a straight line in circle,wher o is center of circle,b is any pointjoined with p.prove that pa>pb
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
CO-ORDINATE GEOMETRY : Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
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Objectives After going through this unit, you should be able to 1. explain the processes involved ih addition and subtraction; 2. plan and execute activities that woul
Two trains were traveling in opposite directions, moving away from one another. One train was moving at 5 miles per hour. The other train was moving at 6 miles per hour. They were
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zeroes of polynomial 2x2-3x-2
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