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where other derivatives can be derived in a similar manner.
Although three rotation angles θ x, θ y, θ z can be refined, a rotation around the beam direction (z-axis) has no component on the reciprocal-lattice offset (rh) from the Ewald sphere therefore, the derivative with respect to θ z is 0. The partial derivatives with respect to the remaining parameters can be derived in a similar way—here, only the derivatives with respect to are θ y given.
which can be derived in a manner analogous to the derivation of the inverse DFT (see Chapter 6).
If the capacitance C is known (to be derived in a following section) and the voltage derivative calculated directly from finite-differences, all quantities on the right-hand side of the equation are known and so the required Iion is obtained as a function of time.
to be derived in a rational and natural way while keeping empirical contamination to the minimum.
What made a proposition like "2 + 2 = 4" true, they held, was not that it correctly described some abstract world of numbers but that it could be derived in a logical system according to certain rules.
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Based on these improved results, ordinal depth information for the scene can successfully be derived in an automatic way.
Hence the equilibrium point of such a network has to be derived in an alternative way.
For compartments of other subdomains, equations can be derived in an analogous manner.
BE values corresponding to the acute RfDs were derived in a similar fashion, except that steady state was not assumed.
But it was derived in a completely different way.
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