complexholomorphicvariablesholomorphycorollarydomain SeveralComplexVariablesP.M.GauthierMarch14,2006AbstractThisisameresketchofthecoursebeinggiveninthefallof2004.IshallgivethecourseinFrench,butifsomestudentsowishes,IshallwriteontheblackboardinEnglish.Inthesameeventuality,theselecturenotesareinEnglish.Prerequisitesforthe...
Using Adam to optimize directly on complex variables makes sense for problems which do have a genuinely complex structure, but I think it's going to be key to note in the docs that (1) lots of historical work is done by separately optimizing on the real and imaginary parts, and (2) op...
LePage, W.R.: Complex variables and the Laplace transform for engineers. Dover Publications (1980) Mahmoud, M.Y., Aravantinos, V., Tahar, S.: Formalization of infinite dimension linear spaces with application to quantum theory. In: Brat, G., Rungta, N., Venet, A. (eds.) NFM 2013...
These operations imply so many spe- cial properties that a very rich and powerful theory may be derived for functions of complex variables. In this chapter we will give definitions and basic properties of holomorphic functions. These are defined as functions which are differentiable in an ...
Finally, the most important characteristic in our model is that all these variables are tunable for a specific background modeling application. 4. Conclusions We have shown that background subtraction schemes base on mixture of Gaussians exhibit some deficiencies when applied to complex environments, ...
Complex stochastic Boolean systems, depending on a large number n of statistically independent random Boolean variables, appear in many different scientific, technical or social areas. Each one of the 2n binary states associated to such systems is denoted by its corresponding binary n-tuple of 0s ...
Within this model, as presented in the Methods Section, the random variables essential to the emergence extreme events are sums of random variables distributed in a binomial fashion (thin-tailed) which have well-defined first and second order moments. Thus, these sums follow the Le´vy-alpha-...
This new hidden variable can be correlated with k so, hereafter, we assume that the pair of hidden variables (k, s) associated with the same node are drawn from the joint pdf r(k, s). The weight of an existing link between two nodes with hidden variables ki, si, kj and sj, ...
A strategist develops opinions on the future direction of a company and its brand, based on existing and predicted conditions, other known variables, intuition and research. –David Lyall, Creative Strategist A strategist uses big-picture thinking, storytelling, insights, criteria development tools and...
In: Fonctions de Plusieurs Variables Complexes, III, Sém. François Norguet, 1975–1977. Lecture Notes in Math., vol. 670, pp. 187–204. Springer, Berlin (1978) CrossRef Björk, J.-E., Samuelsson, H.: Regularizations of residue currents. J. Reine Angew. Math. 640, 101–115 (...