Sentence examples for replacing the ranking from inspiring English sources

Freund proved an analogous representation result for preferential logics that satisfy disjunctive rationality, replacing the ranking condition with a weaker condition of filtered models: a filtered model is one such that, for every formula, if two worlds non-minimally satisfy the formula, then there is a world less than both of them that also satisfies the formula (Freund 1993).

Fortunately, a relaxation of the above problem was shown to produce very accurate approximations, by replacing the rank constraint by the tractable nuclear norm, which represents the convex envelope of the rank [6].

A remedy to this problem is to replace the rank constraint with the nuclear norm constraint, thus solving: begin{array}{*{20}l} & underset{mathbf{L}}{text{minimize}} ~~|mathbf{L}|_ notag & text{subject to} ~~ mathcal{P}_{Omega}(mathbf{M}) = mathcal{P}_{Omega}(mathbf{DL}) end{array} (9).

An easy way to account for anisotropy is to replace the rank value r F, j, t by a function of the separation vector h jF, t = | u j, t - u F, t | joining the location of the jth individual at time t to the location of the focus at time t.

Each successive window replaces the highest ranked feature in the previous window with the next lowest ranked feature.

At the end of this process, we obtain another ng × ns matrix, ER, with ranks replacing the original expression values.

On a monumental night illuminated by the goal of a lifetime from James McFadden, they inflicted only the second home defeat on France in 13 years to replace the team ranked fourth in the world at the top of the group.

A Labour administration would replace the competing ranks of free schools, academies and local authority schools with networks of collaboration at local and regional level, and create a middle layer of oversight between schools and central government.

(6) Replace the worst ranked part of population with offspring.

This solves a variant of an open question where the compactness replaces the finite rank conditions.

For each sample, the area of each peptide is replaced with the ranking of the peptide's area from 1 to 342 (or multiples of 1/2 within this range in cases where area values are identical) in relation to the areas of other peptides in that sample.