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The variational description of the Zeno effect provides an analytic basis for the constructive approximations techniques.
The presented approximations and variational description of the sliding mode-type control design can provide a new analytic basis for constructive numerical schemes and implementable control algorithms.
The method is based on localized C∞ but not analytic basis functions, which vanish outside an open set (region of influence).
With its continued development, the calculus gradually became removed from its origins in the geometry of curves, and a movement emerged to establish the subject on a purely analytic basis.
After several transatlantic conflicts over regulatory topics such as the precautionary principle, genetically modified foods, and climate change, Europe and America now appear to be converging on the analytic basis for regulation.
The results obtained at demonstration sites each season are quantified and analyzed to reorient operations and provide a firm analytic basis for replication at additional sites.
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During the last part of the analytic phase, theories of adult learning were used as an analytical basis for interpretation [ 1, 2, 5, 6, 12].
Capturing such data enables firms to act before a breakdown.Similarly, the use of "predictive analytics" on the basis of large data sets may transform health care.
The API obviously allows developers to use this approach as well, but it also allows developers to create their own variation selection logic and to use data from Google Analytics as the basis for their decisions.
Analytic sciences provide the basis for understanding product quality attributes.
The influence of the applied electric field has also been proved on the basis of analytic method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com