Sentence examples for order characterization from inspiring English sources
We provide two applications: (i) to a new "second order" characterization of CLTs on a fixed Wiener chaos, and (ii) to linear functionals of Gaussian-subordinated fields.
The last section deals with a second-order characterization of convex vector functions.
Consequently, a second-order characterization for convex vector functions is obtained.
Secondly, by using the Clarke generalized first-order derivative for locally Lipschitz vector functions, we establish a first-order characterization for monotone operators.
We note that when m = 1, C = R +, Corollary 4.7 collapses to the classical result on the second-order characterization of convex functions.
Besides this, by using the Clarke generalized first-order derivative for locally Lipschitz vector functions, we establish a first-order characterization for monotone operators.
Conveniently bricked within the sections, an ensemble of tests has been conducted, in which non-Gaussian processes show the need of a higher-order characterization.
To make sense of interpretations on which the quantifiers are taken to range over a universal domain, one may adopt a higher-order characterization on which an interpretation corresponds to the value of a second-order variable, $I$, which is taken to apply to ordered pairs of certain kinds.
The algorithm is based on Normalized Burned Ratio differencing (dNBR) and therefore retains the variability of spectral response of the area affected by fire and has the potential to be used beyond binary burned/unburned mapping for the first-order characterization of fire impacts from remotely sensed data.
Order statistics characterization Generalizing (c) of Theorem 1 in Arnold and Lin (2004), we give the following fact.
This commentary explores how the changing landscape of academic training will impact the industrial workforce, particularly with regard to the development of protein therapeutics in the area of biophysical and higher order structural characterization.
