Sentence examples for a continuous version which from inspiring English sources

There is also a continuous version which replaces sums by integrals (see Dunsmuir and Hannan 1976).

Under Assumptions 1 and 2, the solution (u t, x)) has a continuous version which is γ-Hölder continuous in t with (gammain (0,vartheta_{1} )) and ν-Hölder continuous in x with (nuin (0,vartheta_{2} )), where vartheta_{1} := min biggl{ frac{theta }{2},frac{2H_{1}-1}{2}+ frac {H_{2}}{2} biggr}, qquad vartheta_{2} :=min { theta,H_{2} }.

For our analysis we used a continuous version of the score, which can range between 0 and 150 (see Supplementary file).

Then there exists a continuous version (tilde{X}(t)) of (X t)) which has the property that for every (varthetain 0,beta/alpha)), there is a positive random variable (varphi omega)) such that mathbf{P} biggl{ omega:sup_{0< |t-s|< varphi omega), 0leq s,t< +infty}frac{|tilde{X} t,omega -X t,omega -X tt-s|^{vartheta }}leq frac{2}{1-2^{-vartheta}} biggr} =1.

Then there exists a continuous version (tilde{X}(t)) of (X t)) which has the property that for every (varthetain 0,varsigma/eta)), there is a positive random variable (psi omega)) such that mathbb{P}biggl{ omega:sup_{0< vert t-s vert < psi omega), 0leq s,t< infty}frac{ vert tilde{X} t,omega -X t,omega -X trt }{ vert t-s vert ^{vartheta}}leq frac{2}{1-2^{-vartheta}}biggr} =1.

A continuous version is given below.

A continuous version of this inequality is presented in [15].

This process is null on the axes and has a continuous version.

A continuous version of the kinetic treatment of consecutive degradation reactions obeying a first order formalism is established.

This is a continuous version of NRI.

Fitting models for a continuous improvement measure and a discretised version thereof as well as for binary outcome measures and a continuous version of these illustrates the enhanced power to detect differences of continuous measures compared to binary measures.