Sentence examples for corresponding to the order of from inspiring English sources

Definition (A.3) gives us an important result: The ordering of linear bounded self-adjoint operators on (overline{P(n)}) is 1-1 corresponding to the order of the positive quadratic forms (which is the order of positive real numbers), which is total (since all its elements are comparable).

Thereafter, the study coordinator opened the envelope corresponding to the order of the individual.

Let T={1,…, n} represent increasing indexes corresponding to the order of preferences of the decision criterion d.

Those studies which included five molecular subtypes: luminal A, luminal B, luminal-HER2, HER2 enriched and basal-like showed that the status of FOXP3+ TILs infiltration was increased corresponding to the order of the molecular subtypes from well to poor.

The mapped BnFT paralogues were assigned names according to their linkage group, and where two copies were located in the same linkage group, they were distinguished by suffixes with "a" or "b" corresponding to the order of the markers.

The above results indicate that the effect of a trace of polymers on the hematite formation is exhibited in the following order PVAcorresponding to the order of functional groups of –OH< COOH and ⟩C=O< CONH2< COOH≈ COOH and ⟩C=O.

The morphing algorithm used by MorphX cannot be presumed to be linear; nevertheless we assigned a level to each morph variant corresponding to the ordering of each morph variant between the 2 original images from which they were morphed; There are 11 possible sample images (the 2 original images and 9 morph variants).

This morphological change on hematite particles depended on the order of functional groups of polymers as –OH< CONH2< COOH< COOH and ⟩C=O, corresponding to the order in extent of polymer molecules for complexation to Fe3+ ions and adsorption onto particle surface.

Applying the method of sub- and supersolution (see [28]) corresponding to the order interval provides the existence of a smallest positive solution of problem (1.1) fulfilling.

The application plots red points at spatial locations corresponding to the ordered-pair [x, y] Cartesian intersection of your fingers' respective measured distances from the origin point.

Rank order of the buried residue positions corresponding to the increasing order of accessible surface area of the Cα atoms for a specific probe radius is compared to the rank order of the buried residues in the same protein using all-atom model and the probe radius of 1.4Å.