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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.
Can you show that a slope will vary along a curve (as opposed to a straight line)?
Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.
The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of increase? The price of heating oil rose $0.33 ($1.43 - $1.10 = $0.33). To ?nd ou
Equation s(in Tth second)=u+at-a/2 seems to be dimensionally incorrect.why?
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Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C (Ans: (
Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius. 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each cir
If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1 (a/b)= Pi/2 A/B = tanP/2 ,therefore a/b=infinity.
Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation
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