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Making use of Proposition 8, one obtains after simplifications the equivalent condition stated in the Lemma.
I believe that here it is clearly proved that, for these and similar problems, it is not permissible to make use of the usual simplifications.
The APP approximation makes use of the following simplifications: (i) We ignore future observations.
The simplification makes use of the relation between the water-level of two successive iterations as shown in (12).
On the simplification side, the app makes use of the user's real-time location data to locate the cheapest gas station in their area, plus directions to get there.
Now, if we make use of extension of Gauss summation theorem (1.8), after some simplification, we easily arrive at the desired results (3.3).
Integration of enzyme generation and enzymatic transformation into a single process would be significantly more energy efficient and of industrial simplification by making better use of fermentation energy and skipping enzyme purification.
There was little evidence that more errors were made because of simplification of consonant clusters.
Identities are the most used form of simplification.
We will make copious use of the steady-state assumption in this and subsequent chapters, as it allows considerable simplification by reducing differential equations to algebraic equations.
Our decision analysis is based on a model that depends on certain assumptions made for the purpose of simplification.
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