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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.
Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w
The sum of -4 and a number is equal to -48. What is the number? Let x = the number. Because sum is a key word for addition, the equation is -4 + x = -48. Add 4 to both sides o
Solving an equation using Multiplication and Division A variable is a symbol that represents a number. Usually we use the letters like n , t , or x for variables. For
Design an automaton that accepts just only even numbers of 0s and even number of 1's. Ans: The needed automata that accepts even number of 0's and even number of 1's is specifi
What is a lattice? Which of the following graphs are lattice and why? Ans: Let (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, comprises a glb (I
About Zeros in the Denominator of Rational Expressions One thing that you must be careful about when working with rational expressions is that the denominator can never be zero
in a class of 55 students, 35 take english, 40 take french, and 5 take other languages.present this information in a venn diagam and determine how many students take both languages
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form
Trace the curve (x/a)^3/2+(y/b)^2/3=1
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