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Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.
Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, has a glb (Infimum) and a lub (Supremum), after that the poset (L, ≤) is known as a lattice. The poset in (i) is a lattice as for each pair of elements in it, there a glb and lub in the poset. Likewise poset in (ii) is as well a lattice. Poset of (iii) is as well a lattice.
Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent
SOLVE AND GRAPH THE PARABOLA NOTE: WRITE YOUR SOLUTIONS AND COMPLETE EQUATION OF GRAPH SPOINTS EACH 1. V(0,0) (0.2) P-2 2. V(0,0) E-5,0) P=-5 3. V(4-3) F(4,-2) P=1 4. V-1,5)
Finding Absolute Extrema of f(x) on [a,b] 0. Confirm that the function is continuous on the interval [a,b]. 1. Determine all critical points of f(x) which are in the inte
Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. Ther
Solve out each of the following equations. 3( x + 5)= 2 ( -6 - x ) - 2x Solution In the given problems we will explained in detail the first problem and t
(a) Find an example of groups G, H, K with K H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve
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1.)3 3/8 divided by 4 7/8 plus 3 2.)4 1/2 minus 3/4 divided by 2 3/8
How to sovle or prove whether an equation is a identity?
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