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Determine if the relation represented by the following Boolean matrix is partially ordered.
Ans: Let the following relation R is defined on set A = {x, y, z}. To test if the relation R is partially ordered, we have to test if R is reflexive, anti symmetric and transitive.
Reflexivity: As all elements in the principal diagonal is '1', R is reflexive.
Anti Symmetry: In the following relation, we do not comprise any pairs (x, y) & (y, x) like that x ≠ y that is for (x, y) & (y, x) in R, x = y. So R is anti symmetric.
Transitivity: The relation is not transitive since for (y, x) & (x, z) in R, (y, z) is not in R. Hence R is not partially ordered.
Find the equation for each of the two planes that just touch the sphere (x - 1) 2 + (y - 4) 2 + (z - 2)2 = 36 and are parallel to the yz-plane. And give the points on the sphere
A=30, B=45, b=4
Tangent Lines : The first problem which we're going to study is the tangent line problem. Before getting into this problem probably it would be best to define a tangent line.
performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt
how do you find the tan, sin, and cos.
let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
FORMULAS DERIVATION
Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma
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a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10
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