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The problems of the Central African Republic are daunting but they are not on the same scale as its giant Congolese neighbour and this should provide us with the impetus to solve them now, to ensure that the cancer of lawlessness does not spread across another border.
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Clayton's pronouncement is Ray's first inkling that the girl is still alive, and it provides the impetus he needs to solve the case.
As the voting base of each major party has shrunk and become more "extreme" (i.e., much, much more conservative in the Republican Party, and slightly more liberal in the Democratic Party), the impetus to work cooperatively across the aisle and to do meaningful problem-solving has practically disappeared.
Given a metric space ( X, d ) and a self-mapping T on X, the theory on the existence of a solution to the equation of the form T x = x has gained impetus because of its applicability to solve many interesting problems that can be formulated as ordinary differential equations, matrix equations etc.
Gov. Donald Siegelman, a Democrat, said he hoped the ruling would provide the impetus to bring all parties together to solve the problem, though he did not say how the state would accommodate the inmates or address the problem of overcrowding.
They want to solve problems.
How to solve it?
To solve a problem.
We try to solve quarrels.
No problem to solve.
(Another mystery to solve).
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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