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Category Archives: Mathematics
The Mandelbrot Set—Part III: Complex Numbers
The Mandelbrot Set Series: This post is the third in a series on the Mandelbrot set. The Mandelbrot set resides upon the complex plane. This means that in order to look more closely at the Mandelbrot set itself, we need … Continue reading
The Mandelbrot Set—Part II: Exploring the Mandelbrot Set
The Mandelbrot Set Series: This post is the second in a series on the Mandelbrot set. In this post, we are going to spend some time exploring the set, in order to get a feel for some of the structures … Continue reading
The Mandelbrot Set—Part I: Fractals
Every Monday for the past several weeks, I have posted an image under the heading Monday Mandelbrot Madness. I have offered up these images largely on aesthetic grounds, and offered very little in the way of mathematical explanation. There are … Continue reading
One By Any Other Name
What’s in a name? that which we call a rose By any other name would smell as sweet… —William Shakespeare In our daily lives, we are accustomed to giving multiple names to a single object. My wife calls me Xander, … Continue reading
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The Monty Hall Problem
Suppose you’re on a game show, and you’re given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say 1, and the host, who knows what’s behind the doors, opens … Continue reading