Sentence examples for mutually distinct alternatives from inspiring English sources

Suppose we have two mutually distinct alternatives x and y, the preference can be expressed as a pairwise comparison.

Suppose and where the complex numbers are mutually distinct with, and forms a complex system of mutually disjoint projections on.

for any θ 0,θ 1,θ 2>0 and any mutually distinct x 0,x 1,x 2∈V.

Verify if the fingerprints f(n 1),…,f(f α ) are mutually distinct.

Conditions under which every eventually positive solution belongs to one of three mutually distinct sets are derived.

while the cases where are mutually distinct and will be considered in a subsequent paper (for the important reason that quite distinct techniques are needed).

The efficiencies of amplification might be mutually distinct.

For example, bas1-2 and sob7-1 single-nulls have a mutually distinct pattern of genetic interactions with a phyA null.

These FUS inclusions were negative for TDP-43, which implies the involvement of mutually distinct pathways that lead to neurodegeneration.

We elected to generate eight mutually distinct CONCOORD structures using this utility (henceforth referred to as 'CONCOORD 1–8'CONCOORD

"Discussions to find mutually beneficial alternatives to arbitration with other dealers are under way".