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The adjoint analysis is then completed by deriving the boundary conditions defining the manifolds of the original and adjoint systems.
We use conditions defining growing space (e.g., sum of all relevant biotic and abiotic factors) to systematically associate forested stands with likely native plant community (NPC) classifications.
Transformation to normal forms and derivation of conditions defining lowest-order singularities are carried out explicitly for the case of a single autocatalytic reaction.
In many physical problems, one must maintain symmetry of numerical schemes – the symmetry arising due to geometry and/or physical conditions defining the flow.
Two symmetry breaking conditions, defining the relations between the axial load and the geometric parameters of beams for which an asymmetric response bifurcates from the symmetric one, are obtained.
These solutions are obtained with an enhanced Lagrangian method based on stream function and Lagrangian-distance coordinates, which includes special procedures to substantially improve the numerical resolution of the shock waves and for the numerical implementation of the aerodynamic conditions defining the geometrically unspecified solid or fluid boundaries.
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Teachers are not trained for the widening range of conditions defined as educational disabilities.
The limits conditions define the number of rows of data over which a given column will be smoothed.
Close agreement was found between experimental and predicted values at the extraction conditions defined as optimum.
The chromosomes composed by random keys represent cutting conditions defined according to a temporal scale.
Finally a central composite design was carried out around the nominal conditions defined during method optimization.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com