Sentence examples for in general position from inspiring English sources
For each bihamiltonian system of odd dimension in general position we construct such a web and show how to reconstruct the original bihamiltonian system based on these data.
Let S be a set of n points on the plane in general position such that its elements are colored red or blue.
For nilpotent Lie groups, we have proven a Müntz Szasz theorem for the matrix coefficients of the operator valued Fourier transform, on groups that have a fixed polarizer for the representations in general position.
As a consequence of the Erdős Szekeres theorem we prove that, for n large enough, any set of kn points, in general position in Ed, d⩾3, can be partitioned into n convex subsets of size k.
Although this is far from being true for d=2, we find the exact conditions under which, for sufficiently large n, any set of 4n points, in general position in the plane, can be partitioned into n convex quadrilaterals.
For the generalized linear models, a connection between the fullness parameter and the quantity N X) of Müller (J. Statist. Plann. Inference 45 (1995) 413) is derived for the case that the explanatory variables may not be in general position which happens in particular in designed experiments.
The spikes on the icosahedral 3-fold axes and those in general positions are significantly different, possibly representing different phases during initial generation of fusogenic E1 trimers.
In general, positions on the genetic linkage map were consistent with the physical positions on the tomato genome showing the accuracy and robustness of the map and the quality of the tomato sequence.
There are 20 icosahedral "i3" spikes, situated on icosahedral 3-fold axes, and 60 quasi-3-fold "q3" spikes in general positions containing a quasi-3-fold axis consistent with T = 4 symmetry.
In this approach, an ellipse in a general position is expressed in parametric form as follows: (2).
So the asymmetric unit consists of one [RuCl3 ox)(NO)]2− unit bound to YIII in a special position, one nBu4N+ cation in a general position and a quarter of nBu4N+ in a special position.
