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Once the solutions are obtained, the optimal control law can be easily deduced.
As a direct consequence of our method, decay estimates of higher-order derivatives are easily deduced.
The period of the oscillations, depending only on the amplitude, is easily deduced.
The following theorem due to König is closely related to Hall's theorem and can be easily deduced from it.
There is also a risk that if living wills are transparent or easily deduced, banks could become the target of mischief from, say, hedge funds.
The chemical formula and crystal structure of the GaM4X8 lacunar spinels are easily deduced from the spinel with half-deficient Ga atoms, that is, Ga0.5M2X4.
The known result that all RRMF cubics are degenerate (linear or planar) curves is easily deduced in this representation.
Many properties of reaction mechanisms favoring chemical lumping can be easily deduced from certain patterns of their topology.
The vibrational partition functions for the improved Manning-Rosen potential and improved Rosen-Morse potential are easily deduced as two special cases.
Therefore, the variational iteration method is adopted to solve the Euler Lagrange equation obtained, and the optimal control law is easily deduced by performing simple calculations.
We then consider some specific examples, comparing our formulae with each other, and with other easily deduced formulae for simple cases.
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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