Then for constraint violated region, the detailed formulas of determining the update feedrates of violated sampling points are given using a decoupled manner.
Part of the issue is the wide array of formulas for determining different types of residuals -- five for motion pictures and seven for television, and that does not include the Internet, for which there is no residual formula as yet.
Explicit formulae for determining the properties of the Hopf bifurcation are derived in Section 3.
In this section, we shall derive explicit formulae for determining the properties of the Hopf bifurcation at (tau_{0}) by using the normal form theory and the center manifold theorem introduced by Hassard et al. [18].
We present the asymptotic expansions of functions involving the ratio of gamma functions and provide formulas for determining the coefficients of the asymptotic expansions.
Based on the fixed number of sampling elements, the number of clusters was determined using the formula for determining the number of clusters for a 95% confidence interval provided by Thrusfield [ 13].
This article presents and discusses the results of 2 formulas for determining the appropriate pit depth.
He also contributed to the proof of the prime number theorem, a formula for determining the number of primes below a given number.
Such accurate measurements assist in the task of determining chemical formulae (e.g., time-of-flight, ion-trap, and ion cyclotron resonance (ICR) mass spectrometers), especially when the mass of the target compound is large.
This week's decision, written by Judge James J. Petrella of the Appellate Division of New Jersey Superior Court, said that the 2001 map violated the State Constitution's mathematical formula for determining the number of people in each of the 40 legislative districts.
