Sentence examples for arbitrary ranges from inspiring English sources

An accurate root-searching in the dispersion equation for arbitrary ranges of frequencies and complex wavenumbers, however, is very difficult, if not impossible.

For many applications binary random variables are, however, not sufficient and one requires random variables with arbitrary ranges, e.g. real numbers.

It is conceivable that PSA could be applied however, in the absence of distributions for each variable, arbitrary ranges can only be used which may provide limited uncertainty analysis outcomes.

The expression levels were divided into three arbitrary ranges.

To test the relationship between the angle of division and subsequent fate, one could set arbitrary ranges of division angles for example, 0°-30°, 31°-60° and 61°-90° 61°-90°g asymmetric, obeinge asymmetricric, respectively.

Using these arbitrary ranges, the age of data for CTD can be described as 46 113 (52%) legacy articles, 36 900 (42%) contemporary articles and 5022 (6%) current articles.

The parameter estimation procedure is carried out for an arbitrary range cell.

Crackdowns are a risk and punishments can be arbitrary, ranging from time behind bars to police extortion – graffiti is illegal in China, although it is sanctioned in the 798 Art Zone.

An asymptotic analysis based on the homogenization technique in the framework of linear dynamics for an arbitrary range of frequencies has been applied to an infinite one-dimensional (1D) system which consists of elastically supported discrete masses, linked by beams.

For an arbitrary range cell, the signal of target can be modeled as a sequence s(n) that consists of K complex QFM signal in the presence of AR noise[12 14] s n = ∑ k = 1 K α k exp j 2 π f k n + jπ μ k n 2 + 1 3 jπ μ ˙ k n 3 + e n (28).

The derived formulas are quite general and applicable to arbitrary range of trap parameters of an aqueous quadrupole trap, enabling us to fully analyze the transient behavior of the thermal fluctuations, their power spectrum density (PSD), position and velocity fluctuations, as well as their covariance.