Sentence examples similar to with fractional variations from inspiring English sources

Fractional variations in copy number occur because of the heterogeneity of the cancer samples being studied.

Various inter-fractional variations featuring patient motion pattern change, tumor size change and tumor average position change were simulated from planning CT to on-board images.

Riewe [21, 22] formulated a version of the Euler-Lagrange equation for problems of calculus of variation with fractional derivatives.

Here we develop the theory of fractional variational calculus further by proving the necessary optimality conditions for more general problems of the fractional calculus of variations with a fractional integral and a Lagrangian that may also depend on the unspecified end-points or.

Also, inter-fractional variation in reducing the activity of HMG Co-A reductase was not statistically significant.

Examples are given to show how the proposed method can be used to assess the effects of parametric variations on the stability in feedback loops with fractional order interval transfer functions.

This study suggests that the micropore size distribution may be one of the sources for the variation of the observed surface diffusion coefficient with fractional loading, commonly observed in the literature.

Based on the concept of fractional calculus of variations mainly the fractional action-like variational approach (FALVA), the fractional action cosmology (FAC) with fractional weight function has been proposed recently [1, 2, 3, 4, 5, 6, 7].

Nevertheless stocks were strong and closed with fractional net advances.

The method is blended with fractional complex transformation and modified Riemann-Liouville fractional order operator.

"With fractional ownership the number one aspect is the calendar.