Distributed computing, definition

The main feature of Kimeme is a rich GUI that assists the user in all the steps of the optimization process, from the problem definition to the results postprocessing. In this section, we describe the main components of the Kimeme GUI, namely the problem and algorithm design and the post-processing tools. We also introduce another important feature of the platform, that is its native distributed computing infrastructure. 

Use of the term mean-bulk temperature is to define the model from which temperatures are computed. In shock-compression modeling, especially in porous solids, temperatures computed are model dependent and are without definition unless specification of assumptions used in the calculations is given. The term mean-bulk temperature describes a model calculation in which the compressional energy is uniformly distributed throughout the sample without an attempt to specify local effects. In the energy localization case, it is well known that the computed temperatures can vary by an order of magnitude depending on the assumptions used in the calculation. 

There is thus assumed to be a one-to-one correspondence between the most probable distribution and the thermodynamic state. The equilibrium ensemble corresponding to any given thermodynamic state is then used to compute averages over the ensemble of other (not necessarily thermodynamic) properties of the systems represented in the ensemble. The first step in developing this theory is thus a suitable definition of the probability of a distribution in a collection of systems. In classical statistics we are familiar with the fact that the logarithm of the probability of a distribution w[n is — J(n) w n) In w n, and that the classical expression for entropy in the ensemble is20... 

The concept of elementary flux modes has resulted in a vast number of applications to analyze and predict the functionality of metabolic networks [64, 65, 138, 241 243]. Software resources that allow for the computation of elementary flux modes are fisted in Table V [178, 224], It should be noted that, due to their definition as an exhaustive enumeration of possible flux distributions,... 

Model-dependent comparison of two time profiles is best achieved in terms of the semi-invariants discussed earlier in the section on Characterization of Semi-invariants ( Moments ). This treatment is in accordance with the Level B definition of IVIVC, as proposed in several official guidelines. It makes full use of the underlying model that the data are presented by a distribution function, but no specific function is required. Although derived function parameters (e.g., Weibull, polyexponential, etc.) may be used, the computation may also be performed numerically on the observations as such. 

Using a search routine, a computer program can calculate the constants and C2 from definitions of the moments of the distribution ... 

The Laplace-Young equation refers to a spherical phase boundary known as the surface of tension which is located a distance from the center of the drop. Here the surface tension is a minimum and additional, curvature dependent, terms vanish (j ). The molecular origin of the difficulties, discussed in the introduction, associated with R can be seen in the definition of the local pressure. The pressure tensor of a spherically symmetric inhomogeneous fluid may be computed through an integration of the one and two particle density distributions. 

Liu and Neeld (78) used VisiMix software to calculate shear rates in laboratory, pilot plant, and production scale vessels. Their results (Table 3) showed marked differences, by as much as two orders of magnitude, in the shear rates calculated in the conventional manner [from tip speed and the distance from impeller tip to baffle, i.e., y = ND/ T — Z))] and the shear rates computed by VisiMix. The latter s markedly higher shear rates resulted from VisiMix s definition of the shear rate in terms of Kolmogorov s model of turbulence and the distribution of flow velocities. Note that VisiMix s estimates of the respective shear rates in the vicinity of the impeller blade are comparable at all scales while the shear rates in the bulk volume or near... 

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