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Vanishing derivatives
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In this paper, we establish a second main theorem with a good defect relation for entire curves in a projective variety whose derivatives vanish on inverse image of hypersurface targets. Our method is a combination of the techniques in [7-9].
10p
koxih_kothogmih5
04-09-2020
16
2
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Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.
10p
danhdanh27
07-01-2019
23
1
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There are times, however, when we are more interested in finding the function from which the integrand came (i.e., finding the antiderivative) than in finding the actual change. Then we must recognize that the derivative of a constant is zero, so any arbitrary constant added to the integral vanishes in finding the integrand. Thus we may write ∫ − nRT dP nRT = +c 2 P P (A34) where c is an arbitrary, or unknown, constant. Such an expression is called an indefinite integral. 7/10/07 A- 131 ...
1p
lovecafe2
06-10-2011
42
4
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