Sentence examples for free distinct from inspiring English sources

Thus, the elements in (chi _{i}^{{c_{l}^{,j}}}) and (chi _{i}^{hat {c}_{l}^{,j}}) are equal for all j except for d free distinct values of j.

How free and distinct are they from biological mechanics?

The right of property in slaves was recognized by giving to free persons distinct political rights, by giving them the right to represent, and burthening them with direct taxes for three-fifths of their slaves; by authorizing the importation of slaves for twenty years; and by stipulating for the rendition of fugitives from labor.

The main goal of the DIPEx project is to give patients the opportunity to learn from others and to have access to free information distinct from that provided by medical experts or dubious internet sources.

The crystallization trials rather produced three new crystal forms of ligand-free TtrD distinct from that previously obtained by a structural genomics consortium (PDB entry 2idg, crystal form I). The new crystal forms provide a significant improvement in the resolution of the structure of TtrD, from 2.7 to 1.35 Å.

There are currently three distinct free trade areas within Africa, but a meeting in January of the continent's major powers is designed to create a single free trade entity spanning 26 countries.

Devicescape rolls together millions of distinct, free amenity-based Wi-Fi networks to offload mobile carriers' 3G and 4G networks to save them money.

Injector deposits are revealed to be primarily fuel-derived and created by two distinct free radical pathways, i.e., low temperature auto-oxidation and high temperature pyrolysis.

Surface effect originates from high surface/volume ratio of nanostructures, where atoms at a free surface experience distinct local environments with respect to those in the bulk material.

Two distinct free conformations can be identified, with the high-energy conformation present around 10% of the time.

On the other hand, distributed computing simulations using a different force-field and implicit treatment of the solvent (2) provided evidence for the presence of two distinct free energy minima corresponding to the folded and unfolded states.