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Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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May 16, 2019 at 12:29am
May 16, 2019 at 12:29am
#959073
Congratulations on making it halfway through the challenge! Today, we’ll do something a little different. Instead of writing an entry of your own, take the time to show some love to your fellow 30DBC challengers! Write thoughtful comments on at least five different blogs from this month’s competition. Then, post the links to the entries you commented on in your own blog and share one thing you learned. Have fun!

As I tend to focus my comments on the blogs of people who post their entries around the same time I do - mostly night owls like me, or perhaps in different time zones - I decided to use the Virtual Dice to select five blogs out of the 17 participants in the 30dbc this month (ignoring my own, of course).

1. From "Invalid Item"  Open in new Window. by A Guest Visitor , "Invalid Entry" Open in new Window.

2. From "The QPdoll Blog"  Open in new Window. by QPdoll is Grateful Author Icon , "Motivation" Open in new Window.

3. From "L'aura del Campo"  Open in new Window. by Kåre เลียม Enga Author Icon , "2019年5月15日: Blow-me-away blog" Open in new Window.

4. From "Invalid Item"  Open in new Window. by A Guest Visitor , "Invalid Entry" Open in new Window.

5. From "Bigger on the Inside"  Open in new Window. by Kell Willsen Author Icon , "But is it Art?" Open in new Window.

And what did I learn? That there are many different species of praying mantis, and the British ones have an exotic accent.


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