The irregularities never smooth out, as they do for differentiable curves.
2.
In other words, a differentiable curve differentiable manifold is of dimension one.
3.
When } } the function describes a continuous differentiable curve on the plane.
4.
If X is a differentiable manifold, then we can define the notion of " differentiable curve " in X.
5.
The world of Newtonian mechanics is very simple : a Euclidean space and a few differential equations, solutions of which are nicely differentiable curves.
6.
The proof of the Jordan curve theorem for " differentiable curves " is not difficult, and can be done using mathematics available to Gauss.
7.
The exponent is a measure for the number density of polymer configurations in which the shape of the polymer is close to a continuous and differentiable curve.
8.
The map from to (, ) is a differentiable curve or parametric curve of class " and the singularity where the derivative is 0 is an ordinary cusp.
9.
More precisely, a differentiable curve is a subset of where every point of has a neighborhood such that C \ cap U is diffeomorphic to an interval of the real numbers.
10.
A point is on the inside of a differentiable curve if the winding number of the vector from the point to the curve is equal to 1 ( or-1 ).
