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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.
For further analysis of the solute transport behavior, the temporal moments up to the fourth order are derived from the Laplace-transformed solutions.
Integrals of products up to the fifth order are derived in a unified manner for the three fundamental shapes in terms of the position vectors of vertices.
Similar(50)
This world necessarily has a certain continuity with the upper motions: consequently all its power and order is derived from them.
The model takes sublattice compositions as primary field variables, from which chemical long-range order is derived.
A sufficient condition for convergence of the operators (Hβ+1)−1 within a Schatten von Neumann class of finite 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.
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