Let A = {1, 2, 3, 4, 5}. Describe an equivalence relation R on
the set...
Let A = {1, 2, 3, 4, 5}. Describe an equivalence relation R on
the set A that produces the following partition (has the sets of
the partition as its equivalence classes): A1 = {1, 4}, A2 = {2,
5}, A3 = {3} You are free to describe R as a set, as a directed
graph, or as a zero-one matrix.
Let
A = {1,2,3,4,5,6,7,8,9,10} define the equivalence relation R on A
as follows : For all...
Let
A = {1,2,3,4,5,6,7,8,9,10} define the equivalence relation R on A
as follows : For all x,y A, xRy <=> 3|(x-y) . Find the
distinct equivalence classes of R(discrete math)
4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R...
4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R on A as
follows: R = {(a, a) | a ∈ A} ∪ {(0, 1),(0, 2),(1, 3),(2, 3),(2,
4),(2, 5),(3, 4),(4, 5),(4, 6)} Is R a partial ordering on A? Prove
or disprove.
4. Let A={(1,3),(2,4),(-4,-8),(3,9),(1,5),(3,6)}. The relation R
is defined on A as follows: For all (a, b),(c,...
4. Let A={(1,3),(2,4),(-4,-8),(3,9),(1,5),(3,6)}. The relation R
is defined on A as follows: For all (a, b),(c, d) ∈ A, (a, b) R (c,
d) ⇔ ad = bc . R is an equivalence relation. Find the distinct
equivalence classes of R.