Prove that the sets u ⊕v = {u + v : u ∈u, v∈v}and uθv = {u - v : u∈u, v∈v} are homometric for any two sets u and v.

Question

Mathematics

Jolie Harper

26 February, 11:27

Prove that the sets u ⊕v = {u + v : u ∈u, v∈v}and uθv = {u - v : u∈u, v∈v} are homometric for any two sets u and v.

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Answers (2)

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Phoenix Barajas · Answer 1

Phoenix Barajas 26 February, 14:50

0

UV VV = 82-3/4

JDxHG

Soren Bender · Answer 2

solution:

given that set,

U⊕V = {u+v : u∈v, v∈v}

UΘV = {u-v : u∈v, v∈v}

clearly the given set are objection and linearity indefenten y,

f and f-1 are continuous,