differentiable curve वाक्य
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- The irregularities never smooth out, as they do for differentiable curves.
- In other words, a differentiable curve differentiable manifold is of dimension one.
- When } } the function describes a continuous differentiable curve on the plane.
- If X is a differentiable manifold, then we can define the notion of " differentiable curve " in X.
- The world of Newtonian mechanics is very simple : a Euclidean space and a few differential equations, solutions of which are nicely differentiable curves.
- The proof of the Jordan curve theorem for " differentiable curves " is not difficult, and can be done using mathematics available to Gauss.
- 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.
- 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.
- 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.
- 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 ).
- The map \ gamma _ 2 is called a " reparametrisation " of \ gamma _ 1; and this makes an equivalence relation on the set of all C ^ k differentiable curves in X.
- A differentiable curve is said to be " regular " if its derivative never vanishes . ( In words, a regular curve never slows to a stop or backtracks on itself . ) Two C ^ k differentiable curves
- A differentiable curve is said to be " regular " if its derivative never vanishes . ( In words, a regular curve never slows to a stop or backtracks on itself . ) Two C ^ k differentiable curves
- Such a vector field serves to define a generalized ordinary differential equation on a manifold : a solution to such a differential equation is a differentiable curve on the manifold whose derivative at any point is equal to the tangent vector attached to that point by the vector field.
- It is easy to establish this result for polygonal lines, but the problem came in generalizing it to all kinds of badly behaved curves, which include nowhere differentiable curves, such as the Koch snowflake and other fractal curves, or even a Jordan curve of positive area constructed by.
- For any 0-form, ?, defined on some differentiable curve ? ?" "'R " "'n " ( here the integral of ? over the boundary of the ? is understood to be the evaluation of ? at the endpoints of ? ).
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