Continuous coordinates

Polymer Particle Balances (PEEK In the case of multiconponent emulsion polymerization, a multivariate distribution of pjarticle propierties in terms of multiple internal coordinates is required in this work, the polymer volume in the piarticle, v (continuous coordinate), and the number of active chains of any type, ni,n2,. .,r n (discrete coordinates), are considered. Therefore... 

Fig. II (continued) coordinates corresponding to the various peaks are shown in sketches on the bottom and, by reconstructing all of these, the eventual transport picture in the blobbish sketch above emerges - the current goes through the a system in the alkane thiol end, transfers to the n system to pass through the naphthalene, and then back into the o system through the ether to the other electrode. From [108] copyright 2011 by the National Academy of Sciences...

HSPD - 20 National Continuity Policy. Establishes a comprehensive national policy on the continuity of federal government structures and operations and a single National Continuity Coordinator responsible for coordinating the development and implementation of federal continuity policies. 

The system of hyperbolic and parabolic partial differential equations representing the ID or 2D model of monolith channel is solved by the finite differences method with adaptive time-step control. An effective numerical solution is based on (i) discretization of continuous coordinates z, r and t, (ii) application of difference approximations of the derivatives, (iii) decomposition of the set of equations for Ts, T, c and cs, (iv) quasi-linearization of... 

The stochastic differential equation (2.2.15) could be formally compared with the Fokker-Planck equation. Unlike the complete mixing of particles when a system is characterized by s stochastic variables (concentrations the local concentrations in the spatially-extended systems, C(r,t), depend also on the continuous coordinate r, thus the distribution function f(Ci,..., Cs]t) turns to be a functional, that is real application of these equations is rather complicated. (See [26, 34] for more details about presentation of the Fokker-Planck equation in terms of the functional derivatives and problems of normalization.)... 

Here the diffusion operator DA is replaced by the operator L describing motion as stochastic hops in the continuous coordinate space. Let distribution function of hop lengths normalized as... 

Most batch reactors today employ, at best, only partially automatic control. The operator must keep track of numerous valves, motors, and flow and temperature gages — just to control temperature, and just for one reactor. Failure to continuously coordinate these devices leads to varying temperature profiles from batch to batch, and, thus, inconsistent or unacceptable product quality. 

In H2S decomposition, A represents the sulfur clusters, which diffuse and drift in the centrifugal field. Consider the cluster size n as a continuous coordinate (varying from 1 to 00). Another coordinate is the radial one, x, varying from 0 to the radius of the discharge tube, R. Clusterization in the centrifugal field can be considered an evolution of the distribution function f n, x, t) in the space n, x) of cluster sizes. Dissociation of H2S takes into account a source A (sulfur atoms) that is located at the point x = 0. Thus, evolution of the cluster distribution function can be described by the continuity equation in the space (n, x) of cluster sizes (Macheret, Rusanov, Fridman, 1985) ... 

The law also directed that the Army continue coordinating its activities with the NRC. The PMACWA initiated engineering design studies (EDSs) for the two technologies that successfully completed demonstration testing the Parsons/... 

The second classification category distinguishes between approaches with continuous or discrete formulation for time and pipeline. In a continuous formulation, continuous coordinates are used to describe e.g. the position of a batch or a pipeline branch. The indicator u c, d indicates whether a continuous or discrete formulation is chosen, where the first component refers to the time aspect and the second refers to the pipeline. In general, time-discrete formulations are more intuitive, but to the costs of larger model dimensions in terms of the number of equations and variables. In contrast, time-continuous formulations are more compact but less intuitive. ... 

The point charges with continuous coordinates have to be replaced by a grid based charge density, since the FFT is a discrete and finite transformation. 

Environmental assessment where an assessment of the state of marine environment is made through a continuous coordinated pollution research program and exchange of information to identify the problems that need priority attention in the region. 

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