Zero One

This channel is about solving college and graduate level math problems.

[Real Analysis]Problem 23: An application of Jensen's inequality

[Real Analysis]Problem 23: An application of Jensen's inequality

[Real Analysis]Problem 22: A Borel measure of a dense set

[Real Analysis]Problem 22: A Borel measure of a dense set

[Real Analysis]Problem 21: A criteria for Lebesgue integrability

[Real Analysis]Problem 21: A criteria for Lebesgue integrability

[Real Analysis]Problem 20: Inequality related to the upper limit of measure of sets

[Real Analysis]Problem 20: Inequality related to the upper limit of measure of sets

[Real Analysis]Problem 19: Continuity of a function related to Borel measure

[Real Analysis]Problem 19: Continuity of a function related to Borel measure

[Real Analysis]Problem 18: Evaluate limits of sequence of integrals

[Real Analysis]Problem 18: Evaluate limits of sequence of integrals

[Real Analysis]Problem 17: An example of Lebesgue Integral

[Real Analysis]Problem 17: An example of Lebesgue Integral

[Real Analysis]Problem16: An example of sequence of continuous functions diverges

[Real Analysis]Problem16: An example of sequence of continuous functions diverges

[Real Analysis]Problem 15: A property of translation-invariant Borel measure

[Real Analysis]Problem 15: A property of translation-invariant Borel measure

[Real Analysis]Problem14: An application of Zorn's lemma

[Real Analysis]Problem14: An application of Zorn's lemma

[Real Analysis]Problem 13: Image set of Lipschitz function

[Real Analysis]Problem 13: Image set of Lipschitz function

[Real Analysis]Problem12: Non measurable of a partition

[Real Analysis]Problem12: Non measurable of a partition

[Real Analysis]Problem 11: Existence of a partition of R

[Real Analysis]Problem 11: Existence of a partition of R

[Real Analysis]Problem 10: Lebesgue measurability

[Real Analysis]Problem 10: Lebesgue measurability

[Real Analysis]Problem 9: Measure of the union of sets

[Real Analysis]Problem 9: Measure of the union of sets

[Real Analysis]Problem 8: Maximum of an upper semicontinuous function

[Real Analysis]Problem 8: Maximum of an upper semicontinuous function

[Real Analysis]Problem 7: The measure of the sum of a measurable set

[Real Analysis]Problem 7: The measure of the sum of a measurable set

[Real Analysis]Problem6: The measure of difference of a set

[Real Analysis]Problem6: The measure of difference of a set

[Real Analysis]Problem 5: estimation of a measure set intersects open intervals

[Real Analysis]Problem 5: estimation of a measure set intersects open intervals

[Real Analysis]Problem 4: Fixed point of contraction map

[Real Analysis]Problem 4: Fixed point of contraction map

[Real Analysis]Problem 3: Distance in measurable set

[Real Analysis]Problem 3: Distance in measurable set

[Real Analysis]Problem 2: Measure of Irrational Numbers

[Real Analysis]Problem 2: Measure of Irrational Numbers

[Real Analysis] Problem 1: Separate two closed sets

[Real Analysis] Problem 1: Separate two closed sets