Sentence examples for considered as defined from inspiring English sources

Since this will not affect the rest, with no loss of generality, all such measures will be considered as defined in the whole R n so that | μ | ( R n ) < ∞.

where τ is the tolerance level which determines the range of values that still be considered as defined by three end-member mixing model; a, b, and c characterizing the strict validity of the model, and a′, b′, and c′ characterizing the expanded validity of the model.

Note that the geometric locus of II - when considered as an element of S 2 determined by its contact angles with the plates - moves upward in the family with decreasing a, but when considered as defined by its property of passing through the intersection of Π 1 with the x-axis, it moves downward.

Age, weight, and hormonal status were considered as defined by the studies.

In this sense, MC j1, j2) can be considered as defined on the range [ j1, j2].

Severe chronic comorbidities were considered as defined in the assessment of each scoring system.

Information volatility and number of whole product life cycle phases can hereby be considered as defining multi-dimensional probability fields admitting various uncertainty quantification metric families with identifiable thresholds for transitioning between them.

Her most recognizable physical features are her many tattoos, eyes, and in particular her full lips, which The New York Times considered as defining a feature as Kirk Douglas's chin or Bette Davis's eyes.

This can be considered as defining a tobacco adapted aphid 'genome' perhaps encoding a series of important enzyme variants for this specialisation as a result of continuous selection on this plant.

However, RARB and RASSF1A gene methylation appears to be an initial event in urinary bladder carcinogenesis and should be considered as defining a panel of differentially methylated genes in this neoplasia in order to maximize the diagnostic coverage of epigenetic markers, especially in studies aiming at early recurrence detection.

Each spike can be considered as defining a vector of unit length with a phase angle θi (0≦ θi < 2π) by taking θi = 2π f t i (mod 2π), where t i is the timing of the spike, and f is the stimulation frequency.