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Examples ofcontinuously differentiable
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The regression function m 1 is two timescontinuouslydifferentiable+ v i !
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If iscontinuouslydifferentiable, the following are equivalent.
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This prevents corners from occurring there; we require that 0 be everywherecontinuouslydifferentiable.
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The method of characteristics gives acontinuouslydifferentiablesolution for short time, since the initial data are smooth.
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Namely, two examples that give twice and three-timescontinuouslydifferentiablefunctions, respectively, in three dimensions and two dimensions are as follows.
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It is also clearly acontinuouslydifferentiablefunction.
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These functions have compact support, are twicecontinuouslydifferentiable, and are piecewise cubic polynomials.
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I will furthermore assume some regularity at infinity, namely, the associated canonical 1-form will be supposed to becontinuouslydifferentiable.
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Acontinuouslydifferentiablemap with acontinuouslydifferentiableinverse is known as a diffeomorphism.
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The variables are considered to be reasonable functions of time, which among other things guarantees that they arecontinuouslydifferentiable.
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Choose c < 0 and somecontinuouslydifferentiablemonotone function u satisfying (1.4) and approaching the limits exponentially.
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Actually, we suppose that v (x) is twicecontinuouslydifferentiable.
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Third, and finally, the analysis requires inflationary expectations to be formed ascontinuouslydifferentiablefunctions of past inflation rates.
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Put another way, the function relating activation to "degree of confidence" would not necessarily be linear, or evencontinuouslydifferentiable, in spite of being monotonic nondecreasing.
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Assume, first, f iscontinuouslydifferentiableand of compact support.
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In particular, we give a necessary and sufficient condition for the ray to becontinuouslydifferentiable in such a point, and show that escaping points can escape arbitrarily slowly.
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The period utility function u () is strictly concave, twice-continuouslydifferentiable, and monotonically increasing.
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It states that if "f" iscontinuouslydifferentiable, then around most points, the zero set of "f" looks like graphs of functions pasted together.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.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.
- standpoint
- standpoint theory
- stand round
- stand-round
- stands
- stand sb in good stead
- stand-sb-in-good-stead
- stand sb up
- stand-sb-up
- stand-shoulder-to-shoulder-with
- stand shoulder to shoulder with sb
- stand-shoulder-to-shoulder-with-sb
- stand shoulder to shoulder with someone
- stand someone in good stead
- stand something on its head
- stand sth on its head
- stand-sth-on-its-head
- stand/stick out a mile
- stand-stick-out-a-mile
- stand/stick out like a sore thumb
- stand-stick-out-like-a-sore-thumb
- standstill
- standstill agreement
- standstill-agreement
- stand the test of time