MacKay R S 2010 Langevin equation for slow degrees of freedom of hamiltonian systems Nonlinear dynamics and chaos: advances and perspectives ed Thiel M, Kurths J, Romano M C and ad A Moura G K (Springer) p 89MacKay, R.S.: Langevin equation for slow degrees of freedom of Hamiltonian ...
,Mion, the finite-dimensional vectors of their corresponding degrees of freedom (for example, the nodal values of ni,h(j+1)), we say that the considered discrete scheme is monotone if n_i(j+1)>0_, i=1,…,Mion, the inequality being understood in a componentwise sense (see also ...
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and divide by the proper degrees of freedom (n−1−3=24). The result for our example is 2.755.11 It is of interest to note that this is actually smaller than the mean square error for the full fourth-degree model (2.8537 from Table 8.9). For this reason it is appropriate to re...
Thermodynamic and transport properties forLPG (liquified petroleum gas)have been added. Version 11.878 2024-06-16 TheStudents_t functionreturns the probability that a value y is within a normally distributed distribution with specified number of degrees of freedom. Property data for molten salt(20NaCl...
The quantum state for the spatial degrees of freedom of photons propagating through turbulence is analyzed. The turbulent medium is modeled by a single phase screen for weak scintillation conditions and by multiple phase screens for general scintillation conditions. In the former case the process is ...
The simplest appear to be the minisuperspace models, which are obtained via symmetry reduction of the full theory. By assum- ing a certain level of symmetry applied on the spacetime met- ric and the matter fields, the system's degrees of freedom are reduced to finite from infinite. Thus, ...
(equal to the number of data points minus the number of variables fit). The t test in this example has 28 degrees of freedom, the sum of the degrees of freedom in each fit. Determine the P value using a program or the excel formula "=tdist(1.96,28,2)" . The two-tailed P value...
The conditions to determine the degrees of freedom of ui(x, t) are then based on the requirement that (15)∫Vjui(x,t)dx=uj(t)for allj∈SiN, is fulfilled, where uj(t) is the mean value in cell Vj. Thereby, the polynomial ui(x, t) is extended continuously to the whole stencil...
6) six degrees of freedom 6自由度 1. Design of the PMAC-based control system for the six degrees of freedom ship motion simulation platform; 基于PMAC的6自由度船舶运动模拟台控制系统设计 2. This paper presents the structure, the principle and the designing and calculation method of the ...