Sentence examples for by a unique operator from inspiring English sources

Viral parameters such as HBeAg, antiHBe IgG and HBV plasma viral load from frozen samples were simultaneously measured by a unique operator to reduce intra and inter-assay variations.

Thus it associates to a unique symmetric operator mean, denoted by (diamondsuit_{r}).

Then (1.1) with f ≡ 0 has a unique resolvent operator.

For each node separator K i, we define a unique collapsing operator and denote it with ρ i.

This is achieved by limiting each arithmetic operator to two operands, and assigning a unique output variable for each operator, essentially transforming each operator to a two-operands-single-assignment form.

The region of interest for measurement of the joint space width was located by the operator as a unique user-dependent procedure during the measurement process.

Thus, by the well-known Banach fixed point theorem we obtain a unique fixed point for operator, and hence is a mild solution of (1.1).

By using the fixed point theorem of a mixed monotone operator, a unique existence result of positive solution to the problem (1.3) was established.

Conversely, of course, every such density operator defines a unique state by the formula above.

Then, by [7, Theorem ], when, the operator has a unique fixed point, which is obviously a solution of (3.1).

The concerts would be run by a nonprofit operator.