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Of course, the subshock solution will be defined up to an interval, at whose endpoints the derivative (which is infinite) must have the same sign in order for the speed of the subshock to be 0 (via an analogous of the Rankine-Hugoniot condition).
The delay term in system (19) can be considered as a function (tau:mathbb{T}_{q}rightarrow [a-tau,infty) subset mathbb{R}) so that the solution will be defined on the interval ([a-tau,infty) ). In this article our delay function acts from ([a,infty)_{q}) to ([tau a,infty)_{q}subset mathbb{T}_{q}). 2. Solving equation (33) is not an easy task.
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When using a revision graph for solutions, then an entire revision graph will be defined as one solution concerning this index.
Figure 1 shows the convexified achievable utilities region with the NE point, the NB solution, and the Nash curve (both will be defined next).
Later, (u_{i}^{(0)}) will be defined as a solution of the homogenized macroscopic equation.
Therefore, states probabilities of the process X t) at any time instant ( t ge 0 ) will be defined as a solution of the following system of differential equations left{ {begin{array}{*{20}l} {frac{{{text{d}}p_{1} (t)}}{{{text{d}}t}} = - mu p_{1} (t) + lambda p_{2} (t)} {frac{{{text{d}}p_{2} (t)}}{{{text{d}}t}} = mu p_{1} (t) - lambda p_{2} (t)} end{array} } right.
The surgery start time will be defined as application of antiseptic solution to the periocular region by the operating surgeon following the final patient check.
If reindeer herding will be defined as an ecosystem service producer, we assume that some innovative solutions might unfold.
where will be defined later.
Measures of importance will be defined.
Each section will be defined, and functions will be introduced.
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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