On differentiation of vector-valued functions
نویسندگان
چکیده
منابع مشابه
Differentiation of Vector-Valued Functions
This important result is listed in the theorem on the next page. Note that the derivative of the vector-valued function is itself a vector-valued function. You can see from Figure 12.8 that is a vector tangent to the curve given by and pointing in the direction of increasing values. tr t r t r f t i g t j lim t→0 f t t f t t i lim t→0 g t t g t t j lim t→0 f t t f t t i g t t g t t j lim t→0 f ...
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Here fd(s)=fd(s+ 1), S<0. Davis' original proof uses probabilistic methods. Later J. L. Lewis (unpublished) gave an analytic proof. See also [6] for another proof, and also see [5], for related work. After the initial preparation of the paper, Professor Davis informed the author of the existence of another solution of the rearrangement problem due to O. D. Ceretelli [3], who shows that f has a ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1950
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-11-1-185-196