Start Learning Sets 3 | Union, Intersection, Differences and Power Set [dark version]

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This is my video series about Start Learning Sets. We discuss basic definition, like union and intersection, and also go into the details of maps and functions. I hope that it will help everyone who wants to learn about it.

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#StartLearningMathematics
#Mathematics
#LearnMath
#calculus
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I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

  1. The Bright Side of Mathematics
  2. #Maths
  3. Measures
  4. Studying
  5. Explanations
  6. Learning
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Комментарии
Автор

It's not clear if for A := {1, 2, 3, 4}, is it true that B := {1, 2} is in A? It seems like it could only be true that B is in P(A), but not B in A.

HelloWorlds__JTS
Автор

In your example of the big union, given I=N, am I right to say that the set Ai could have been e.g. A1= {2, 3, 8}, A2 = {3, 8, 10}, ... or must the set Ai only contain members of the natural numbers? From what I understand, the index set I only serves as a purpose to label the sets we wish to take the union of and does not affect what actually is in the set Ai right?

johnsu
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You should perhaps mention that the the n-ary intersection is ill-defined when the set of indices is empty (in contrast with the n-ary union for example).

andreag
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What app did you use to make the videos, specifically the app to handwrite?

Bloodygamer