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Show that the relation R = ∅ on the empty set S = ∅ is
reflexive, symmetric, and transitive.
Show that the relation R = ∅ on a nonempty set S is sym-
metric and transitive, but not reflexive.
Suppose a recurrence relation
an=7an−1−12an−2
where a1=16 and a2=52
can be represented in explicit formula, either as:
Formula 1:
an=pxn+qnxn
or
Formula 2:
an=pxn+qyn
where
x
and
y
are roots of the characteristic equation.
**If the explicit formula is in the form of Formula 2, consider p < q.
Determine
p and q
. In how many ways a relation can be represented? State two different
examples to represent each of them.
In how many ways a relation can be represented? State two different
examples to represent each of them.
What is nested Quantifier? Is order important for nested quantifier?
Explain your answer with appropriate example.
draw the hasse diagram for the poset({1,3,6,9,12}) hence determine whether it is a lattice
{x | x is a real number such that x2 = 1}
Oliveira, Anibal, Julia and Andres are planning to rob a bank. To hide their true identities, they came up with the idea of using the names of cities as aliases, namely, Manila, Tokyo, Rio and Berlin. Berlin is twice as old as Julia. Anibal and Manila used to be drug traffickers. Aliveira and Berlin are the seniors in the team. Tokyo is married while Anibal is single.Who is Berlin?
JuliaAnibalAndresOliveira
A magic square is an arrangement of n2 numbers into n rows and n columns using distinct numbers from 1 up to n2 such that the sum in any row, any column or any of the two diagonals is fixed. Consider the 4 by 4 magic square below:
a1 a5 2 13a2 10 11 a7a3 6 a4 124 15 a6 1
What is the value of a1 ?
#339914 on Dec 2023