A Mathematical Proof that i^i is a Real Number

If you have been introduced to Complex Numbers, then you know that .  Operations on give both real and complex results. For instance, and . But one of the surprising results is the value of . In this post, we are going to show that is a real number. The proof is credited to Nick […]
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The Diagonals of an Isosceles Trapezoid Are Congruent

An isosceles trapezoid is a trapezoid whose sides are congruent.  An example of an isosceles trapezoid is shown below. The trapezoid is isosceles with parallel to and congruent to . In this post, we are going to show that the diagonals of an isosceles trapezoid are congruent. In the figure below, we will show that […]
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August 2013 – Month in Review

This has  been a very busy month preparing my papers for a scholarship program in University of Tsukuba. Hopefully, I will be able to post more mathematical proofs next month. Anyway, below is the list of articles written on the month of August. Proof that the Solution of 3^x = 8 is Irrational The Proof […]
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