Sentence examples for in the functional setting from inspiring English sources

The notion of an (admissible) arbitrage opportunity for Open image in new window in the functional setting is defined in analogy to Definition 3.2; we only have to replace Open image in new window by Open image in new window.

We obtain a solution in the functional setting of a fractional Sobolev space due to the following fact: the (L^{2} -fractional derivative is the fractionaL^{2} -fractionalalization of a derivative is (L^{2}) space [11].

In the functional setting, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf{pf}} _\text {isort}$$\end{document} pf isort required the least garbage collections and performed best.

For the latter, there is a predominance of excellent design and good taste not especially evident in the functional set-dressing in British movies of the same period, but also such unEnglish oddities of decor as marble friezes of naked ancient warriors in the living room.

end{aligned} Since ((1-N_{1} Rgeq|y_{0} -t_{0}|), the condition of Theorem 4.1 is satisfied, there exists a solution (y=psi(t)) of Eq. (14) in the functional set (psi_{N_{1}}).

For 10 kb windows, this training set contained 1,482 windows in total 741 windows met the criterion for inclusion in the functional set, and 741 of the 11,439 that met the nonfunctional criteria were randomly selected for inclusion in the nonfunctional set.

We provide versions of our results on hedging strategies and the absence of pathwise arbitrage also in this functional setting.

The purpose of this paper is to give the classification of the Bott Virasoro coadjoint orbits, with nonzero central charge, in the functional analytic setting of smooth Hilbert manifolds.

Morris (2012) described a generalization of the Gaussian process often used to produce "meta-models" when inputs are finite-dimensional vectors, that can be used in the functional input setting, and showed how the maximin distance design optimality criterion (Johnson et al., 1990) can also be extended to this case.

For example, carbon dioxide concentration cannot be added as a signal, in addition to irradiance and temperature, when modeling photosynthetic rate as a reaction norm in the functional mapping setting because it does not have the same unit as irradiance or temperature.

Applying the Calculus of Variations to the eigenvalue problem in an appropriate functional setting, one can see that the critical values of the functional involved are precisely the eigenvalues of the problem.