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We consider the formulation as a nonlinear programming problem subject to differential algebraic constraints.
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Now, consider the formulation of the RO model as follows: hbox{min},sigma,left( {x,y_{ 1}, ldots,y_{s} } right) + omega rho,left( {z_{ 1}, ldots,z_{s} } right), (9)s.t.t
(For comparison, consider the formulation "abortions are a necessary evil").
Consider the classic formulation of a business as a value chain of economic activities that add value to a product.
Consider the modern formulation of Riemann's theory in the supplement A Modern Formulation of Riemann's Theory.
Since they are all provably equivalent to one another we can consider any of the formulations as being the definition of Turing machine as we find convenient.
At the end of phase II, 47 HCWs (57%) rated the gel as better than the liquid formulation, 13 (16%) as equivalent to the liquid formulation, whereas 22 (27%) considered the gel formulation to be inferior.
We consider the vorticity-stream formulation of axisymmetric incompressible flows and its equivalence with the primitive formulation.
Consider the graph-theoretic formulation of the districting problem.
Consider the following weak formulation of the flow problem (19).
So, it appeared sensible to consider such a formulation as the multidimensional Duffing equation.
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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