Sentence examples for deviation of the arbitrary from inspiring English sources
The normal deviation of the arbitrary point on the surface can be written as Delta_{i} left varvec{xi}right) = Yleft( {u_{i} left varvec{xi}right),v_{i} left varvec{xi}right),w_{i} left varvec{xi}right)} right).
Hence can be look on as a type of measures of the deviation between the arbitrary random fields and the Markov chain fields on the generalized Bethe tree.
Moreover, the deviation of an arbitrary point on machining feature can be also evaluated based on a point deviation model with prediction dimension deviation from the transmission model.
The standard deviation of the random numbers is arbitrary: results are identical as long as it is the same in all simulations.
By introducing the sample divergence rate of any probability measure with respect to m th-order nonhomogeneous Markov measure on an m rooted Cayley tree, we establish a class of strong deviation theorems for the arbitrary random fields indexed by that tree with respect to m th-order nonhomogeneous Markov chains indexed by that tree.
An arbitrary deviation of the beam from its design direction the vector of beam misalignment can be described by two independent parameters.
More precisely, we can multiply all numbers with the same positive constant and add an identical constant of any sign without changing the information: the mean of 100 and standard deviation of 10 are arbitrary.
We defined an arbitrary positivity threshold for gilz mRNA expression as the mean plus twice the standard deviation of the controls' gilz mRNA levels in at least one of the first two serial samples; this value was 2.8 arbitrary units.
A multiobjective approach is used to generate Pareto optimal solutions showing how the mean and standard deviation of the compliance can be considered as separate objectives, avoiding the need for an arbitrary combination factor.
We chose to measure the standard deviation of the baseline noise because it is a robust measurement based on multiple values and not just 2 arbitrary noise maximum and minimum values.
Values from individual oocytes were normalized relative to that at GVBD (0 hr), and mean and standard deviations of the population are plotted in arbitrary units, (AU), against time.
