Verify that the relation "... is tangent to... at a" is an equivalence relation on the functions which map neighbourhoods of the point a in V into W. (Recall that an equivalence relation "" on a set S is a relation such that for all x, y and z in S (1) x ~ x (ii) x ~ y = y ~x (iii) x ~ y and y ~ z = x ~ z.

Verify that the relation "... is tangent to... at a" is an equivalence relation on the functions which map neighbourhoods of the point a in V into W. (Recall that an equivalence relation "" on a set S is a relation such that for all x, y and z in S (1) x ~ x (ii) x ~ y = y ~x (iii) x ~ y and y ~ z = x ~ z.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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