Examples of 'continuously differentiable' in a sentence

Meaning of "continuously differentiable"

continuously differentiable - In mathematics, this term is used to describe a function that has a derivative at all points in its domain. It emphasizes the smoothness and differentiability of a mathematical function

How to use "continuously differentiable" in a sentence

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continuously differentiable
Continuously differentiable at the original outflow boundary.
It is not necessary for u and v to be continuously differentiable.
Integral images of continuously differentiable functions of a complex variable.
Be a solenoidal vector field which is twice continuously differentiable.
Times continuously differentiable.
Existence of the convolution with a continuously differentiable function.
Where is continuously differentiable function with respect to each of its argument.
Another generalization holds for continuously differentiable functions.
If Φ is continuously differentiable we say the system is a differentiable dynamical system.
Notice that is twice continuously differentiable in.
Denjoy proved that this possibility is always realized when f is twice continuously differentiable.
Will be continuously differentiable.
A mild solution is a classical solution if and only if it is continuously differentiable.
They are continuously differentiable.
The sinuosity value is really significant when the line is continuously differentiable no angular point.

See also

Piecewise continuously differentiable.
A Ck manifold is a differentiable manifold whose chart overlap functions are k times continuously differentiable.
This shows that F is continuously differentiable at a.
Continuously differentiable function, differentiable, with continuous derivative.
A simple fix is to just assume that F and G are continuously differentiable.
Are once continuously differentiable functions, nonlinear in general.
Partial derivatives commute, as they do for continuously differentiable functions.
Assume that u is a continuously differentiable real-valued function on Rn with compact support.
Such processes are very common including, in particular, all continuously differentiable functions.
In particular, if a function is continuously differentiable then its Fourier series converges to it everywhere.
For instance, the natural cubic spline is piecewise cubic and twice continuously differentiable.
Then, there exists a continuously differentiable solution of.
Solutions to the Schrödinger equation must be continuous, and continuously differentiable.
In what follows, all functions are continuously differentiable as many times as necessary.
We have shown that equation ( 1 ) implies equation ( 2 ) as long as u is continuously differentiable.
Moreover, all utility functions are continuously differentiable in the interior of the consumption space.
Is also continuously differentiable at a small neighbourhood of 0 { \ displaystyle 0 }.
Provided f is 2M times continuously differentiable.
Suppose that and are continuously differentiable at a real number, that formula 55, and that formula 56.
Assume that x ( t ) is continuously differentiable.
Suppose that g, Rn → R is continuously differentiable.
Suppose u ( x ) and v ( x ) are two continuously differentiable functions.
Suppose that f is ( k + 1 ) - times continuously differentiable in an interval I containing a.
Let f, Rn+m → Rm be a continuously differentiable function.

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Examples of using Continuously
But we keep him continuously under medication
It continuously alternates between mowing and charging
If the tool is operated continuously at low speeds
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Examples of using Differentiable
Similarly for a differentiable manifold it has to be a diffeomorphism
Harmonic functions are infinitely differentiable in open sets
Differentiable and holomorphic functions of a complex variable
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