Measure theory, Lecture 06, Definition of Translation and Dilation of a set with Related Theorems

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In this lecture students will be able to understand the concept of Translation and Dilation of a set with Related Theorems.
The Previous Lecture Links are:
1. Lecture 01,
2. Lecture 02,
3. Lecture 03,
4. Lecture 04, Part 01,
5. Lecture 04, Part 02,
  1. The Map of Mathematics
  2. translation of a set
  3. dilation of a set
  4. lebesgue outer measure is translation invariant
  5. measure theory
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Sir yah topic Bs math k hai.... Qk msc math ki outline main yah nhi hai....??
Kya msc waly yah kary k nhi?

aleezyahmed