Sentence examples for the minimal degree from inspiring English sources

A complete parameterization of combinants and respective Generalised Resultants is given and this leads naturally to the characterisation of the minimal degree and order combinant for which spectrum assignability may be achieved, referred to as the "Dynamic Combinant Minimal Design" (DCMD) problem.

Therefore, when rating this item, the rating should be based on the minimal degree of change that maintains the critical features of the product.

The minimal degree of polarization is Pr = −2.2 ± 0.2% at the phase angle 13.7°, while the average minimum of the negative polarization for dusty comets is ~ − 1.5% at a phase angle of ~ 10° (Kiselev and Rosenbush, 2004).

For the vertices in the (texttt {cand}^texttt ) set of (G_v^-), only those connected to v needs to decrease their degrees by 1. Selecting a partitioning anchor with the minimal degree in cand however requires (O |texttt {cand}|)) time because it has to sequentially scan all the vertices in the hash set.

Their current structures are comparable to their original forms due to the minimal degree of erosion.

The network lacks in this case the minimal degree of structure to sustain decision states.

Since is of the form, it is the unique minimal degree interpolation polynomial.

(ii) is the unique minimal degree polynomial interpolating B. (iii) Let s denote the number of symmetry hyperplanes of B, i.e. the number of variables x i satisfying B x1,..., x i -1, 0, x i +1,..., x N ) = B x1,..., x i -1, 1, x i +1,..., x N ), for all (x1,...,...., x N ) ε {0, 1} N -1.

Does this mean that the bipolar equation fails to hold for stimulus categories beyond a certain distance from the preferred category that beyond a certain distance, all stimulus categories produce the same minimal degree of penile response (or no penile response)?

The first case has a very large gap between the maximal and minimal degree of internal nodes, while the second has little or no gap.

Compared to a distance measure based on either the correlation or minimal degree, this compound distance compensates for biased results due to, for example, very high profile correlations or missing pieces of prior knowledge.