calculusoptimizationconcept imageOptimization problems in first semester calculus have historically been a challenge for students. Focusing on the classic optimization problem of finding the minimum amount of fencing required to enclose a fixed area, we examine students'' activity through the lens of ...
A major problem in current applied mathematics is the lack of efficient and accurate techniques to solve optimization problems in the calculus of variations and optimal control theory. This is surprising since problems occur throughout many areas of applied mathematics, engineering, physical sciences, ...
Overview Editors: Jaurés P. Cecconi, Tullio Zolezzi Part of the book series: Lecture Notes in Mathematics (LNM, volume 979) 6927 Accesses This is a preview of subscription content, log in via an institution to check access. Keywords Calculus of Variations Optimale Regelung Optimierung ...
III: The metric theory, Mathematika 36 (1989), 1–38. Article MATH MathSciNet Google Scholar A. D. Ioffe, Nonsmooth subdifferentials: their calculus and applications, Proceed. 1st World Congress of Nonlinear Analysts, Tampa, FL, August 1992; to appear in W. de Gruyter, Berlin, 1994. ...
Furthermore, research that examines the role of mathematics textbooks in students' learning of important concepts such as marginal change in applied calculus is scarce. Research on students' quantitative reasoning at the post-secondary level is lacking. This qualitative study investigated the opportunity...
Morton I.KamienNancy L.SchwartzDynamic Optimization: The Calculus of Variations and Optimal Control in Economics and ManagementSecond Edition1991North-HollandAmsterdam, The Netherlands$55doi:10.1016/0307-904X(93)90101-LDr. J.I. RamosApplied Mathematical Modelling...
Lipschitz continuity of state functions in some optimal shaping We prove local Lipschitz continuity of the solution to the state equation in two kinds of shape optimization problems with constraint on the volume: the mi... T Brian?On,M Hayouni,M Pierre - 《Calculus of Variations & Partial Dif...
In addition, assets i and j are correlated with correlation \rho_{ij} . The proportion of the portfolio invested in asset i is w_i. The vector of asset expected returns \mu is defined as: \mu=\begin{pmatrix} \mu_1\\ \vdots\\ \mu_n\\ \end{pmatrix}\\ The covariance matrix \...
approximates the directional derivative of a function by using an ordered pair of convex sets, the subdifferential and the superdifferential. Definitions are given inQuasidifferentiable optimization. Information on the corresponding calculus can be found inQuasidifferentiable optimization: Calculus of quasi...
In the field of image processing, there are several problems where an efficient search of the solutions has to be performed within a complex search domain to find an optimal solution. Multi-thresholding which is a very important image segmentation technique is one of them. The multi-thresholding...