Sentence examples for in general dimensions from inspiring English sources

The second part of my thesis investigates an extended conformal symmetry for Abelian gauge theory in general dimensions.

We propose an algorithm for computing the exact minimum enclosing ball of large point sets in general dimensions.

The role of a geometric conservation law (GCL) on a finite-difference scheme is revisited for conservation laws, and the conservative forms of coordinate-transformation metrics are introduced in general dimensions.

The solvability of the following Schrödinger-Kirchoff-type equation (1.2) has also been well studied in general dimensions by various authors: -biggl(a+b int_{mathrm{R}^{N}}|nabla u|^{2},dxbiggr triangle u+V x u=f x,u quad mbox{in } mathrm{R}^{N}.

Jensen Nenciu [289] analyze (nu =1,2) with a new method that also works in general dimension.

Bray, H. "On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension". Surveys in Geometric Analysis and Relativity in Honor of Richard Schoen's 60th Birthday.

Let begin{aligned} K equiv limsup _{|x| rightarrow infty } [|x||V x)|] end{aligned} (12.4) Kato proved in general dimension that there are no eigenvalues, E, with (E ge K^2).

The solvability of the following Schrödinger-Kirchoff-type equation (1.2) has also been well studied in general dimension by various authors: -biggl(a+b int_{mathrm{R}^{N}}|nabla u|^{2},dxbiggr triangle u+V x u=f x,u) quad text{in } mathrm{R}^{N}.

Our 2-dimension structure of the PACIC is more closely related to these last validation studies which included items in more general dimensions.

For cross tabulations with low cell frequencies (<5) the Likelihood ratio test was performed Acculturation was also analysed in terms of a division in two general dimension (participation in the Dutch society and non-participation in the Dutch society) in order to explore one specific cultural attitude.

Open image in new window Fig. 2 General dimensions, beam and column sections of 3D models (adapted from 15th WCEE Blind Test Challenge Design Report 2012).