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Showing posts from December, 2022

Haunted House 2

Note: This story is completely unrelated to any of my pervious haunted house stories. It was a giant house, in a castle-like form, with large pillars on each side, the center a flat brick wall with tiny holes for windows. The balcony on the far right side of the wall looked like it would crumble if anyone stepped on it. There were cobwebs on the outside that stood out from the house’s dark brown and black color. So, naturally, my friend's first reaction when he saw this was, “Let’s go explore!” My reaction was slightly less enthusiastic and more concerned for my friend’s sanity, “Explore that? It looks dangerous.” My friend, of course, decided to ignore me and run up to the front door of the house and knock on it. Now, seems like a good time to introduce you to my friend. Meet Sant, nicknamed Santa by practically everyone in the school, an insane kid who keeps on dragging me into terrifying situations like this one. I ran over to him just as the door creaked open. It screeched on t

What are Polar Coordinates?

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  You probably already know what a coordinate is. Normally you would see a coordinate in the form of (x,y). For example the point (2,2) would look like this on a cartesian plane. On a complex plane, you would write it in the form a + bi, where a is the real number and b is imaginary. For example the point 2 + 2i would look like this on a complex plane. However, there is another way to write a coordinate on a complex plane. This is called a polar coordinate and it appears in the form of r(cos(x) + isin(x)) . (Note: Normally x would be represented with theta, but you can’t type the symbol for theta on this blog, so I’m replacing it with x. The images with the graphs will have the symbol written as theta.) Let’s imagine the complex plane again with the point 2 + 2i. If I tell you the exact number of degrees you need to rotate from the origin ( x ) and the distance from the origin to the coordinate point (r), you can find where the coordinate point is on the complex plane. Let’s try a diff