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Each object orientation contains its own boundary values.
Then the boundary values lie on the curve f(R), which is depicted above.
These additional conditions are called initial values and boundary values, respectively, and together are sometimes called auxiliary conditions.
We prove results on the support of these boundary values.
These tests have been extended to bivariate outcomes, but calculation of boundary values is computationally intensive.
Despite the uncertainty level in boundary values, it is a common practice to use deterministic values.
The frequency equation and the relations among the boundary values are obtained from minimizing conditions of the Lagrangian with respect to the unknown boundary values.
The boundary values of these parameters, needed for the depletion-to-enrichment crossover, are predicted to decrease with increasing temperature.
In mechanics he investigated the equilibrium of systems and potential theory, which led him to the Dirichlet problem concerning harmonic functions with prescribed boundary values.
The latter are translated into physicochemical properties and the corresponding boundary values for each property are defined.
A numerical scheme is then developed to solve the moment system with both initial and boundary values.
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