- published: 24 Jun 2013
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In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight. Thus, a line is a special case of curve null curvature.
Various disciplines within mathematics have given the term different meanings depending on the area of study, so the precise meaning depends on context. However, many of these meanings are special instances of the definition which follows. A curve is a topological space which is locally homeomorphic to a line. In everyday language, this means that a curve is a set of points which, near each of its points, looks like a line, up to a deformation. A simple example of a curve is the parabola, shown to the right. A large number of other curves have been studied in multiple mathematical fields.
A closed curve is a curve that forms a path whose starting point is also its ending point—that is, a path from any of its points to the same point.
Closely related meanings include the graph of a function (as in Phillips curve) and a two-dimensional graph.
It's nice to know, nice to know
Exactly where you're going
It's nice to know, nice to know
Exactly where you're going
I'm sorry for these bitter words
But I'm in no mood to pretend
Why should I bother with you
When you're not a very good friend
I would toss her for thinking
It was anything more than it was
But you're the new face, you're the new face
Think you're above God
And beyond reach
Beyond reach
Beyond reach
Beyond reach
It's nice to know, nice to know
Exactly where you're going
Never pick a fight
With someone bigger than you
That's what I learned
When I was at school
And it doesn't really matter
How clever you think you are
Those years, they leave
All kinds of scars
It's nice to know, nice to know
Exactly where you're going
It's nice to know, nice to know
Exactly where you're going
Carry on as you always have
And you get your just reward
He may not be what you've expected
But there's nothing you can't afford
Oh, I'm the joker for thinking
That it could get much worse than this
But you're the loser, yes you're the loser
You think you're above God
And beyond reach
Beyond reach
Beyond reach