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As stated by Resnicow and Page, the blessing and curse of complexity is that it is conceptually and analytically complex!
The concept of qualified immunity becomes analytically complex when, as in the case today, the question is the right under the Fourth Amendment to be free of unreasonable seizure.
But this scrutiny and evaluation take time and effort, and the burden is growing both because more papers are being published by the scientific community and because research is increasingly data-rich and analytically complex.
The study of these effects – analytically complex and experimentally unfeasible – was carried out using systematic simulations with realistic data, including different error levels.
Technically speaking, it is analytically complex.
Determining the relative contribution of intrinsic and extrinsic factors to fluctuations in population size, trends and demographic composition is analytically complex.
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We prove that the transformation introducing such coordinates maps analytically a complex ball of radius R/Nα (in discrete Sobolev-analytic norms) into a ball of radius R′/Nα (with R,R′>0 independent of N) if and only if α≥2.
The capabilities of the proposed algorithm are first demonstrated in tests with analytically described complex surfaces.
The sensor response is modelled analytically using complex mapping which lead to expressions detailing the sensitivity of the sensor.
Free vibrations of the passively controlled cable system have then been formulated analytically through complex modal analysis.
Using generic functional forms and a distribution structure covering a wide range of distributions, we solve analytically the complex dynamic system that arises from the introduction of these distributed delays.
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