Are all objects with irrational lengths measureable?

I was deleting old emails a while ago and I came across with questions from some students reading my blog.  I have answered quite a number of questions from middle school and high school students via Email and Facebook since this blog started. I think some are worth publishing here, so I’ll probably post one […]
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Are all infinities created equal?

A one-minute explanation that not all infinities are equal. The video shows that the number of real numbers from 0 to 1 is  greater than the number of all natural numbers 1, 2, 3, 4, and so on. If the video is too fast or too short, you can read a more detailed explanation in […]
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Introduction to the Complex Plane

Imaginary numbers had no use when it was invented except for intellectual exploration until it was linked to coordinate geometry.  The complex number can be plotted as the ordered pair where is the real part and is the imaginary part.  Therefore, the complex numbers , , ,  and can be plotted as , , , and […]
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