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Showing posts with label Advanced Knowledge Problem of the Week. Show all posts
Showing posts with label Advanced Knowledge Problem of the Week. Show all posts

Tuesday, October 20, 2020

AKPotW: Showing that the group generated by an element of G is a subgroup of G [Algebra]

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Solution below.

Tuesday, August 4, 2020

AKPotW: Every Sequence has Monotonic Subsequence [Analysis]

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Solution below.

Tuesday, July 21, 2020

AKPotW: Countable Bases for Compact Spaces [Topology]

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Solution below.

Tuesday, July 14, 2020

AKPotW: A Union of Conjugates [Group Theory]

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Solution below.

Tuesday, July 7, 2020

AKPotW: A Center and Its Image [Group Theory]

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Solution below.

Tuesday, June 30, 2020

AKPotW: A Condition Equivalent to Nilpotency [Linear Algebra]

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Solution below.

Tuesday, June 23, 2020

AKPotW: A Problem Involve Group Product [Group Theory]

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Solution below.

Tuesday, June 16, 2020

AKPotW: An Inequality Involving Integrals [Analysis]

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Solution below.

Tuesday, June 9, 2020

AKPotW: A Uniformly Continuous Sequence [Analysis]

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Solution below.

Tuesday, March 3, 2020

AKPotW: Another Way of Describing an Abelian Group [Group Theory]

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Solution below.

Tuesday, February 25, 2020

AKPotW: Equal Temperature Points on Earth [Analysis]

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Solution below.

Tuesday, February 18, 2020

AKPotW: Linear Map with a Special Property [Linear Algebra]

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Solution below.

Tuesday, February 11, 2020

AKPotW: Algebraic Numbers are Countable [Algebra]

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Solution below.

Tuesday, July 9, 2019

Tuesday, July 2, 2019

Advanced Knowledge Problem of the Week 7-2-19: A Binary Operation [Algebra]

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Solution below.

Tuesday, June 25, 2019

Tuesday, June 18, 2019

Tuesday, June 11, 2019

Tuesday, June 4, 2019

Tuesday, May 28, 2019

Advanced Knowledge Problem of the Week 5-28-19: A Modified Derivative [Real Analysis]

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Solution below.