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In this paper, this algorithmic approach is improved and optimal convergence order is derived.
The model takes sublattice compositions as primary field variables, from which chemical long-range order is derived.
Based on an exact variational principle approach, an asymptotic partial differential equation of infinite order is derived along with the corresponding boundary conditions.
The thin plate theory in first order is derived from the general theory in this paper and the Maxwell stress is naturally included in the governing equations.
A sufficient condition for convergence of the operators (Hβ+1)−1 within a Schatten von Neumann class of finite order is derived.
The formula for determining the geodesic relative curvature of the ICC (instantaneous conjugation curve) in terms of parameters of conjugate motion and geometrical differentials up to third order is derived.
Similar(52)
Furthermore, approximate thresholds that achieve a full-diversity order are derived.
Using this procedure, control laws up to the third order are derived.
Analytical expressions for the coefficients of the normal form of the 6th order are derived.
Additionally, SPN equations of arbitrary order are derived in an ad hoc way.
From the stationary solution of these equations, statistics of second order are derived.
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