Sentence examples for and defines the same from inspiring English sources

The solution to the facet enumeration problem is a set of inequalities that has no redundancies and defines the same convex polytope as Equation (10).

ID covers events relating to five named entities (e.g. Protein Chemical and Organism) and defines the same event types as GE09/11, with the addition of Process, which requires no arguments.

By choosing the coordinate lines on each region to be arcs of great circles, one obtains six coordinate systems which are free of any singularity and define the same metric.

We have chosen four videos to present to all the players, and defined the same starting and ending timecodes.

Similarly, FMI values of greater than or equal to 9 kg/m2 for men and 13 kg/m2 for women defines the same obesity prevalence as a BMI of 30 in this population.

Thus, in most tissues the nomenclature of a basal position and expression of 'basal' keratins defines the same population of cells.

Both mainstream and tributaries define the same general patterns, with relative Rb and Sr depletion and particularly high Th, U, Zr, Hf, and Ti enrichment.

where and and J are defined the same as (11) and (12), respectively.

The RNA editing sites were filtered, and then defined the same as described above.

Although decomposition (1.1) is not unique in general, its components K ± are uniquely determined and the Hilbert norms generated by different decompositions (1.1) according to (1.2) are equivalent and therefore define the same norm topology.

Her reliability and consistency in defining these anatomically was examined by blinding the rater to the images and re-defining the same tracts twice - this achieved an acceptable level of reliability of greater than 86% in defining tracts (ICC = 0.86-0.99).