Examples of using Differentiable in English and their translations into Polish
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It's a differentiable.
this is continuous, this is differentiable.
And now what does differentiable mean?
A function differentiable at a point is continuous at that point.
And this is some function f of x, and I'm going to put a few conditions on f of x. f of x has to be continuous and differentiable.
Use a nice differentiable function default.
The first known example of a function that is continuous everywhere but differentiable nowhere is the Weierstrass function.
If"f" is a differentiable function of"x," and"c" is a real number, then.
but not differentiable and because of that, the mean value theorem breaks down.
Differentiable means that at every point over the interval that we care about,
It is a diffeomorphism if it is differentiable, bijective, and its inverse is also differentiable.
for it implies that any holomorphic function is actually infinitely differentiable and equal, locally, to its own Taylor series analytic.
So it has to be continuous, differentiable, and let's say it's defined over the closed interval,
has broad application in differential geometry because the notion of velocities and the tangent space makes sense on any differentiable manifold.
This real filling of time with differentiable facts of a certain kind and the forms of being of this sphere are countable precisely because of their differentiation.
and is only divided up arbitrarily by our understanding-- only an actual filling of time with differentiable facts is susceptible of being counted-- what the accumulation of empty duration means is quite unimaginable.
If the hill height function H is differentiable, then the gradient of H dotted with a unit vector gives the slope of the hill in the direction of the vector.
The subset of the space of all functions from R to R consisting of(sufficiently differentiable) functions that satisfy a certain differential equation is a subspace of RR if the equation is linear.
More precisely, when H is differentiable, the dot product of the gradient of H with a given unit vector is equal to the directional derivative of H in the direction of that unit vector.
So a Taylor polynomial says that if I have a differentiable function f of x,
is if we're continuous, differentiable, defined over the closed interval,