I was always taught that a circle was all points on a plane at a given distance (the radius) from a center point. "On a plane" = "flat".
(Later, for me...) Oh, I see that circle can mean either the entire disc or just the boundary. Well, whatever. That's too esoteric.
Still excited about 4th Edition!
* 'You'd need to start with a party of 20 or 30, so that each of the grisly traps could fail to be avoided.' -- Calamari Face, discussing a D&D movie set in the Tomb of Horrors
Else please describe the single dimension transform of a circle with radius 2 and a circle with radius 9.
Last edited by Eldorian; January 4th, 2017 at 08:50 PM.
Ugh, temporal philistines. Do I have really have to explain what "flat" means when discussing space/time?
"We will have so much winning if I get elected that you may get bored with winning. Believe me.” - Trump
I liked it for the most part, but:
Vader felt off. Between how he walked, and in particular the neck line of his helm bugged me, as that wasn't how I remembered it.
There were at least 2 spots with the Star Destroyers where I looked at them and said "That looks like a plastic model". Something about the almost entirely white ship with the only color being the engines just didn't match what I remember. It looked like an unpainted miniature they forgot to add some extra color to in post production a few times.
The score missed John Williams. It felt like someone tried to emulate him by changing the tempo and key to his music.
I liked how it addressed the darker side of the Rebellion though.
It had merits, and I liked more than I disliked, but those aspects took me out of the movie a bit too often.
c(t) = r (cos t, sin t) for t between 0 and 2 pi (radians).
Edit, shouldn't that be (r, t) not r(cos t, sin t)? The latter is the x,y transform of the circular parameters. Essentially, your c(t) above is still providing a set of x and y points, so still not one dimensional.
Another confusion I can clear up, you see the circle as something that exists in 2d space, and it does. It's a one dimensional object in 2d space. A sphere (the surface of a ball) is a 2 dimensional object that exists in 3d space, and you can get strange objects like a Moebius strip which is a single sided, 2 dimensional surface that can only exist in 3d space, or a Klein bottle, which is a 2 dimensional object that can only exist in 4d space. A way to think about these things if you don't like parametric equations is the thought experiment to imagine yourself walking along the object. A circle would look like a line if you're very close to it, and a sphere will look like a plane, etc.
How did math get into a discussion about a space fantasy opera?
Madness does not always howl. Sometimes, it is the quiet voice at the end of the day saying, "Hey, is there room in your head for one more?"
I is before E except after C, then it's chaos man, mass chaos! Letters coming together into words, but then you go English and they put U's in places that just shouldn't go there... AHHHHHH!!!!!!!!
My sanity left town along time ago and didn't leave a forwarding address. It's not missed.
What? Where did you study this shit? How about a line, then? To know a point on an unknown line you must know "2 things," so they cannot be one dimensional? Because you need a point and a direction to specify a line, just as you need a point and radius for a circle.But they aren't. To know a point on an unknown circle you must know 2 things, so it cannot be 1 dimensional.
Jesus, this is like any other conversation with you. You're either a troll or an idiot. I can create a homeomorphism from a line segment to a circle, Jesus, I thought you claimed to be an engineer. If you're not mathematically literate then you should at least know that you aren't. No wonder you dismiss global warming, if you're willing to argue with me about the dimensionality of a circle (something mathematically trivial) when wikipedia is a simple google search away, and when I've already explained my point.. Maybe if the Koch brothers told you that a circle was one dimensional, you'd believe it.That you can know a point on a known circle with a single parameter doesn't mean that a circle is actually one dimensional. You're just conveniently skipping over information because it's computationally easier to do so.