New approaches to the solution of optimal control problems with equality-type functional constraintsOptimal controlDirect methodsState parameterization... IA Knyazev - 《Optimal Control Applications & Methods》 被引量: 0发表: 1981年 On the Stability of Orthogonally Cubic Functional Equations Let f denote...
This paper gives a historical review of the development of cubic state equations in fluid volume.With resort to microcosmic theory,the authors have advanced a general form of cubic state equation in fluid volume on the basis of statistical machanics.The result from this gen- eral form,compared ...
The following sections are included:IntroductionCubic functional equationOther cubic functional equations#Introduction#Cubic functional equation#Other cubic functional equationsFunctional Equations and Inequalities:Solutions and Stability ResultsJohn Michael Rassias...
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To determine the surface area, we first need the function’s derivative: Now plug it into the surface area formula and we have: This is an improper integral and it's hard to evaluate, but since in our interval So, we have : Now,we evaluate this last integral ...
This is a full guide to finding the general term of sequences. There are examples provided to show you the step-by-step procedure for finding the general term of a sequence.
The 1D long-range formula, Eq. (30), has been recently derived and more details can be found in Ref. 47. The long-range part is substracted from the dynamical matrix on the coarse grid, the remaining short-range part is Fourier transformed into real space to get the IFCs. Inspired by...
Always use the Laplace expansion unless you are told not to, it is, I think, the best method to use. I'm assuming we're not supposed to, as this was the new tequnique that we learned, and this is the method he used to solve the 3x3 version, and we're supposed to solve the ...
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It is also highly nonlinear, and correspondingly very difficult to solve. If we take the trace of (57), we obtain −R = 8πGT . (67) Plugging this into (57), we can rewrite Einstein's equations as Rµν = 8πG Tµν − 1 2 T gµν . (68) This form is useful ...