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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 10, 2019 at 12:47am
May 10, 2019 at 12:47am
#958652
Fact! Today is Sum1's Home Author Icon's birthday! *ConfettiB* *GiftR* Write something to celebrate the dedicated Head Judge of the "30-Day Blogging Challenge ON HIATUS" Open in new Window.

Sum1's Home can be summed up with one word: mushroom. No, wait; that's not it. Toadstool? Well. Some sort of fun guy anyway.

After all, Sum1's Home is the curator of "Smile! (Groan?) You Know You Love These!" Open in new Window. [13+], which does almost as much to spread laughter as my own comedy does. Look, if you haven't visited that yet, go there and catch up, because I have it on good authority that the images might start disappearing soon.

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Also like me, Sum1's Home is fond of travel and sharing his journey experiences. You can see that in "Where In The World Is Sum1?" Open in new Window. [E].

And of course, as the Head Judge of the "30-Day Blogging Challenge ON HIATUS" Open in new Window., Sum1's Home is a big fan of receiving bribes and meaningless flattery. Be sure to slip him a few GPs and tell him he does a great job, because I certainly won't - I have too much integrity for that.

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