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Directional derivatives of the maximum function
Cybernetics and Systems Analysis, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borisenko, O. F., Minchenko, L. I.
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Directional Patterns and Their Derivation
1996With the exception of the gradient microphone, with its figure-8 pattern, the basic microphone designs discussed in the previous chapter were all essentially omnidirectional in their pickup pattern. Recording engineers have always desired a variety of pickup patterns in order to solve specific problems in the studio, and the 1930s saw considerable ...
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A note on computing the derivative at a constant direction
Physics in Medicine and Biology, 2011The derivative at constant direction is frequently used in inversion of cone-beam data. Several algorithms for computing the derivative have been proposed in the literature. The best algorithm to date has been proposed recently by Noo et al (2007 Phys. Med. Biol. 52 5393-414).
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One-sided directional derivative and applications
Computing, 1975In this paper certain theorems establishing the existence of onesided directional derivative for some classes of functions are proved. These theorems are then applied to problems of best approximations.
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Communication Lower Bounds Using Directional Derivatives
Journal of the ACM, 2013We study the set disjointness problem in the most powerful model of bounded-error communication, the k -party randomized number-on-the-forehead model. We show that set disjointness requires Ω(√n/2 k k ) bits of communication, where n
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Directional Derivatives of Marginal Functions
2002Let X = R n , Y = R m and let U be a compact set in Y. We consider the functions $$\begin{array}{*{20}{c}} {\varphi \left( x \right) = \inf \left\{ {f\left( {x,y} \right)\left| {y \in U} \right.} \right\},} \\ {\Phi \left( x \right) = \sup \left\{ {f\left( {x,y} \right)\left| {y \in U} \right.} \right\},} \end{array}$$ where f : X × Y → R is ...
Bernd Luderer +2 more
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Liénard’s Generalisation: A Direct Derivation
Resonance, 2018In this pedagogical article, we elucidate the direct derivation of total power emitted by an accelerating charged particle, known as Lienard’s generalisation, using differentiation under integral sign technique.
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Directional derivatives of quasiconvex functionals
Journal of Soviet Mathematics, 1988We show that a directional derivative of a quasiconvex functional is also a quasiconvex functional. In this connection we study properties of quasiconvex and positively homogeneous functionals.
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