Sentence examples for the continuous setting from inspiring English sources

Moreover, we carry out the mathematic analysis of the variational model in the continuous setting.

We also confirm in the continuous setting the validity of related asymmetric maximal inequalities which we recently found for discrete filtrations, including p="1.

We establish our results, first in the continuous setting, then for space semi-discrete models, and then for time semi-discrete models.

In [34] Safronov has obtained some trace formulae in the continuous setting showing that the series of imaginary parts of square roots of eigenvalues is convergent.

In this paper, we also have the notion of possibly homogeneous copulas with heterogeneous marginals which would not seem appropriate in the continuous setting treated by Gijbels et al. (2011) and Veraverbeke et al. (2011).

Vese and Osher: In 2003, Vese and Osher [9] solved Meyer's model for two-part decomposition in the continuous setting and they proposed to approximate the L ∞ -norm in the G-norm by the L 1-norm and to apply the penalty method for reformulating the constraint.

A stochastic process is a family of random variables X t) indexed by a parameter t, which usually takes values in the discrete set Τ = {0, 1, 2,…} or the continuous set Τ = [0, +∞). In many cases t represents time, and X t) is a random variable observed at time t.

The interest in projective geometry is in the paths, that is, in the continuous set of points of the image set of curves, rather than in the possible parameter descriptions of curves.

To obtain the NICS values, we have used the gauge-independent atomic orbital method, and the magnetic susceptibility tensors were calculated using the continuous set of gauge transformations method.

(153) The continuous set of line projections is known as the Radon transform of the N-dimensional function.

Until the chancery records began in the reign of King John of England, they were the only continuous set of records kept by the English government.