Lines: for center-labeled chain, pure reptation model (eqn [64], red); for fully labeled 25 kg mol−1 chain (green) CLF was considered.7From Zamponi, M.; Monkenbusch, M.; Willner, L.; et al. Europhys. Lett. 2005, 72, 1039–1044.7 2.11.4.3.2 Constraint release To separate ...
Insight doesn't come into play very often in diagnosis, but when it does, it is a very powerful way to improve diagnosis and arrive at the correct answer [[5]]. Excellence in diagnosis would help ensure effective and efficient diagnosis, minimize the risks of harm from diagnostic error, ...
To help develop alternative MH system designs, the MH system equation may be useful. The equation gives the key for identifying solutions to MH problems. It determines three important system components: What defines the type of materials moved, where and when identify the place and time requiremen...
In this work we derive symmetry reductions and exact solutions for an inhomogeneous equation that model fast diffusion. We find the connection between classes of nonclassical symmetries of the equation and of an associated system. These symmetries allow us to increase the number of solutions. Some ...
Techniques for Handling Elliptically Polarized Waves with Special Reference to Antennas: Introduction Methods are described for representing the elliptical polarization of waves in forms especially convenient for use with elliptically polarized transmitting... VH Rumsey,GA Deschamps,ML Kales,... - 《P...
In this paper we study the viscosity analysis of the spatially homogeneous Boltzmann equation for Maxwellian molecules. We first show that the global existence in time of the mild solution of the viscosity equation . We then study the asymptotic behaviour of the mild solution as the coefficients ...
This equation serves as a simple matematical model for various physical problems. Perhaps its most common use is to describe the flow of liquids in porous media or the transport of thermal energy in plasma…Fluctuation Phenomena: Disorder and Nonlinearitydoi:10.1142/9789814503877_0004María Luz ...
$$ \frac{\omega (\alpha c_{0}+l_{f}+Ml_{g})}{(1-\alpha )(1-c_{0})} + \frac{\beta}{1-\alpha}\sum _{j=1}^{q}l_{j}< 1~~\mathrm{for}~c_{0}< 1 $$ (3.1) or $$ \frac{\omega (\alpha c_{0}+l_{f}+Ml_{g})}{(1-\alpha )(c_{1}-1)} + \frac...
Some investigators have also employed a two-site or two-surface Langmuir equation to describe sorption data for an adsorbent with two sites of different affinities. This equation can be expressed as (5.6)q=b1k1C1+k1C+b2k2C1+k2C, where the subscripts refer to sites 1 and 2, e.g., adsor...
The rationale for this is that the covariance reflects the global behaviour of the data, i.e. capturing relationships among variables, in contrast to the former, which reflects the goodness of fit from the point of view of each region. Practically, an objective function is constructed from the...