Smooth functions

Hi,

there is a function in form x(t), y(t). How to check for what ranges of t function's curve is ragged and when it's smooth?

Forget it, it's NP-complete.

>>1
What programming language? Are you sure this isn't just math? Post code. If you do, use [code] tags.

What does "ragged" mean?
If you just mean checking for continuity, you can do that partially using derivatives. Read a calculus or real analysis book.

>>4
Wrong. A function can be continuous and not be differentiable at any point. See the Weierstrass function.

>>5
Sweet, it's a 1D fractal.

OP here,

>>1 sure, it's partially related to math, this could look something like that for function x(t) = t*10, y(t) = t*t:

map(lambda t: (t*10, t*t), xrange(200))

now having this list (having t, x(t), y(t)) how to point mentioned by me ranges? That's just a sample :)

>>4 by ragged or smooth I mean common sense of them, e.g. 100*sin(x) is smooth, 0.5*sin(x) is ragged, abs(x) is ragged near to x=0, otherwise it's smooth. I'm not sure how to translate common sense of those terms into math.

>>4 by ragged or smooth I mean common sense of them, e.g. 100*sin(x) is smooth, 0.5*sin(x) is ragged, abs(x) is ragged near to x=0, otherwise it's smooth. I'm not sure how to translate common sense of those terms into math.
10/10 I raged more than once.

>>8
10/10 I ragged near to x=0

How to check for what ranges of t function's curve is slightly out of fashion and when it's yet to become pleasantly curved?

>>8-10 obviously you dont get the point of smooth curves.

For a rough estimate I just run my fingers over it and feel the texture, but I always say that if you want the fine detail, nothing beats using your tongue.

>>1

google for volatility


The relative rate at which the price of a security moves up and down. Volatility is found by calculating the annualized standard deviation of daily change in price. If the price of a stock moves up and down rapidly over short time periods, it has high volatility. If the price almost never changes, it has low volatility.

>>8
Lol'd. I myself simply didn't understand >>7.