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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.
A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs
calculates the value of the following limit. Solution Now, notice that if we plug in θ =0 which we will get division by zero & so the function doesn't present at this
X-intercept If an intercept crosses the x-axis we will call it as x-intercept . Y-intercept Similar, if an intercept crosses the y-axis we will call it as a y-inter
show that the green''s function for x"=0,x(1)=0,x''(0)+x''(1)=0 is G(t,s)=1-s
Now let's move onto the revenue & profit functions. Demand function or the price function Firstly, let's assume that the price which some item can be sold at if there is
ALGORITHM FOR DIVISION : If you ask a 10 or 1 1-year-old child to solve, say, 81 + 9, the chances are that she will correctly do it. But if you ask her to solve, say 72 + 3, t
Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim
Define a complete lattice and give one example. Ans: A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound
We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku = F(t) It is just a non-homogeneous differential equation and we identify h
Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet
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