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So the solution must lie somewhere else".
So the solution must lie in programmes that are locally delivered, free from central micro-management, and specifically targeted.
In the long run, the solution must lie in making the costs of publication an essential component of any research grant (comparable to buying supplies and scientific equipment).
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Otherwise, we can report that the energy of the GMEC solution must lie in the interval between this value and energy of the solution found by SMA*.
These are great bandages to solve the problem of inequity in our school systems, but the permanent solution must lie in changing the landscape of school discipline in public education.
So long as increasing taxes remains a political taboo for both Tories and Labour, the search for a solution must lie in testing how far voters are prepared to dig into their own pockets.
We start with an initial region of parameter space (we will refer to this region as a "hypercube"—although we do not mean to imply that the edge lengths of the box are identical) where we think a reasonable solution must lie.
Because of the constraints given above, the feasible solutions must lie within a certain well-defined region of the graph.
Part of the answer must lie with celebrity culture.
@mvzelenks.
Since the three given circles and any solution circle must lie in the same plane, their positions can be specified in terms of the (x, y) coordinates of their centers.
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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