BETA
Examples ofdifferentiable function
Dictionary> Examples ofdifferentiable function
differentiable functionisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
It is also clearly a continuouslydifferentiablefunction.
From theCambridge English Corpus
Though the derivative of adifferentiablefunctionnever has a jump discontinuity, it is possible for the derivative to have an essential discontinuity.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Adifferentiablefunctionof one variable is convex on an interval if and only if its derivative is monotonically non-decreasing on that interval.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.To do this, one first finds a condition that is weaker than absolute continuity but is satisfied by any approximatelydifferentiablefunction.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In particular, anydifferentiablefunctionmust be continuous at every point in its domain.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In the third section, he begins by remarking that the graph of a continuouslydifferentiablefunctionis a manifold in the latter sense.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The derivative "f" ("x") of adifferentiablefunction"f" ("x") need not be continuous.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.If is a realdifferentiablefunctionover, then is a section of the cotangent bundle and as such, we can construct a map from to.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Similarly, if is a realdifferentiablefunctionover, defines a map from to.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In mathematics, an immersion is adifferentiablefunctionbetween differentiable manifolds whose derivative is everywhere injective.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.For adifferentiablefunctionof several real variables, a critical point is a value in its domain where all partial derivatives are zero.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Note that the theorem, as stated, is false if adifferentiablefunctionis complex-valued instead of real-valued.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The more spending rounds are offered, the better approximation the continuous,differentiablefunctionis for its discrete counterpart.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Everydifferentiablefunctionis continuous, so.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.We apply the equivalence of universal deformations from singularities of differentiable functions theory to obtain the equivalence of the displacement functions.
From theCambridge English Corpus
As the first order derivatives are arbitrary, the wavefunction can be a continuouslydifferentiablefunction of space, since at any boundary the gradient of the wavefunction can be matched.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.A second key theorem concerning differentiable functions states that their regular values are always plentiful.
From theCambridge English Corpus
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
- shoulder pad
- shoulder-pad
- shoulder pain
- shatter
- shattered
- shattered glass
- shattered window
- shattering
- shatterproof
- shave
- shaved
- shaved head
- shaven
- shaven head
- shave-off
- shave-off-from
- shaver
- shaver point
- shaver-point
- shave something off/from something
- shave something off something
- shave sth off/from sth
- shave-sth-off-from-sth
- shave sth off sth
- shave-sth-off-sth