Question

Equivalence Relations: Help me please...

Answer 1

Let T be the equivalence relation defined by (x,y)R(u,v) <=> y-x = v-u...

a.) Describe the elements of [\left[ \left( 2,3 \right) \right]_{T}\]

Answer 2

Equivalence relations permeate mathematics with several salient examples readily available:Residue classes [a]N consist of all numbers congruent (equivalent) modulo Na negative number is a set of all equivalent pairs (a, b) of integers with a < b, where two pairs (a, b) and (c, d) belong to the same set (equivalence class) iff a + d = b + ca rational number is a set of all equivalent pairs (a, b) of integers, where two pairs (a, b) and (c, d) are equivalent iffad = bcan irrational number is an equivalence class of sequences r1, r2, r3, ... of rational numbers, where two sequences {ri} and {si} are equivalent iff they there difference converges{ri - si} to 0 as i→∞."

-www.cut-the-knot.com

Answer 3

a.) Describe the elements of \[\left[ \left( 2,3 \right) \right]\]

Answer 4

@calculusxy how should I describe the elements??