General evolution

TNC. 12. P. Glansdorff and I. Prigogine, On a general evolution criterion in macroscopic physics, Physica 30, 351-374 (1964). 

Figure 6.1 General evolution of a ternary diffusion couple with initial conditions...

The general evolution equation of the magnetic field in the moving conducting medium has the form 9H... 

In order to extract the maximal energy out of the available foodstuff oxidative phosphorylation should operate at the state of optimal efficiency in vivo. Since a zero as well as an infinite load conductance both lead to a zero efficiency state, obviously there must be a finite value of the load conductance permitting the operation of the energy converter at optimal efficiency. For linear thermodynamic systems like the one given in equations (1) and (2) the theorem of minimal entropy production at steady state constitutes a general evolution criterion as well as a stability criterion.3 Therefore, the value of the load conductance permitting optimal efficiency of oxidative phosphorylation can be calculated by minimizing the entropy production of the system (oxidative phosphorylation with an attached load)... 

In conclusion, in spite of some reservations, it is possible aith our computational model to account correctly for the general evolutions and in most cases the estimates are close to experimental values. In the next part our model aill be applied, aith the required modifications, to the study of alkaline aluminosilicate solutions. 

The prime denotes differentiation with respect to z. Combining Equations 1, 5, and 6 gives the general evolution equation for axi-symmetric threads. 

Using the identity U(t)U+(t)= -U(t)U (t), which is a consequence of unitarity, the general evolution equation of the Hermitian operator results... 

With these constitutive equations from Equation (34), the general evolution equation we give to Heisenberg s equation of the observable is... 

If we take into account these constitutive equations in the general evolution Equation (34) of the Hermitian operators, then we obtain Heisenberg s equations of motion of a quantum-damped oscillator... 

From the general evolution equation (Equation (34)) of the Hermitian operator, the equation of motion of the density operator in Schrodinger picture could be derived as follows ... 

The move is not limited to drug research and development. Many other fields are involved in this general evolution of the Japanese healthcare system for example, the separation of prescription from dispensing ( bungyo ) made recent progress an important NHI price reform is under discussion, which could be a step toward a large change of the health insurance system. 

While working on the Polyamide-6 reference process, it turned out that even process model definitions cannot be determined completely in advance. Therefore, we generalized evolution support to include all of the following features (cf. [171-173, 387, 390[) ... 

The basic idea behind the MOM is to solve the evolution equations for the moments of the NDF instead of determining the evolution of the NDE by solving the actual GPBE. The general evolution equation for the kth moment (k = (A i,..., m) is the moment exponent vector containing the order of the moments with respect to each of the components of ) for a homogeneous system can easily be obtained by applying the moment transform to Eq. (7.1) ... 

The general evolution equation for the homogeneous system undergoing nucleation, growth, diffusion, aggregation, and breakage is... 

The simplest method to study a spectra set evolution is to display the spectra on Fig. 10. Several examples can be further shown for degradation tests. More than the general evolution, leading in this case to the decrease of spectra shape and thus of absorbance values, isosbestic points can appears with time. 

The composition of the basis of reference spectra and the general evolution of the coefficients are closely linked to the various states of the evolution of organic matter during composting. A maturity index can thus be proposed from the values of these coefficients. 

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