Sentence examples for is used henceforth from inspiring English sources

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Notation ⟦ π ⟧ ς is used, henceforth, to refer to the symbolic port automaton of coordination pattern π.

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Rehoboam, ruling from the cities, sent Adoram, the leader of the forced labour battalions, to Israel (the name to be used henceforth for the northern area); but he was stoned to death.

The terms heredity and hereditary will be used henceforth to refer to reliable resemblance relations between parents and offspring.

The usual norm in the Lebesgue space L p is denoted by ∥ u ∥ p, Ω, and by ∥ u ∥ p if Ω = R N. E denotes the Sobolev space H 1 ( R N ) and S is the unit sphere in E. It follows from (V) that ∥ u ∥ : = ( ∫ R N ( | ∇ u | 2 + V ( x ) u 2 ) ) 1 / 2. is an equivalent norm in E. It is more convenient for our purposes than the standard one and will be used henceforth.

These stringent differential expression criteria were used henceforth.

Among the examined AGS doses, 6 mg/kg exhibited the most potent effect and therefore was used henceforth.

The two-by-two payoff matrix for examples of Prisoner's Dilemma and mutualism games are depicted below, with a generic matrix involving T, R, P and S, which will be used henceforth (Table 1).

The Discrete Element Method (henceforth DEM) is used to solve the highly nonlinear problem.

We recall that in the conventional leave one out (LOO) procedure [37], with a dataset of size n in hand, at each validation step, n−1 individuals are used to train a classifier and the remaining nth individual is used for its test and henceforth until all the individuals have been considered for test.

1 4 As ethnic or racial minority groups (henceforth, ethnic is used to include racial) are exposed to different environments, we would expect ethnic variations in these disorders.

Henceforth, "arsenic" is used to describe all arsenic containing compounds and the term, "gene" includes all forms of the gene (e.g., mRNA, protein) unless otherwise stated.

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