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Hurricane Hussein (Chalayan, that is) also blew through the city, subjecting his models to extreme conditions in the form of industrial wind machines pointed in their faces and aerobics-style bathing suits that exposed their rear ends, a one-two punch that delighted only the photographers.
The solution provides sufficient conditions in the form of linear matrix inequalities.
Further, the obtained conditions (in the form of LMIs) can be effortlessly solved by some available software packages.
Some matrix inequality techniques are applied to derive stability conditions in the form of linear matrix inequalities (LMIs).
Necessary conditions in the form of Pontryagin's maximum principle are derived for impulsive control problems with mixed constraints.
Here, groundwater generally occurs under phreatic conditions in the form of thin lenses floating over saline water and recharged from rainwater.
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Then, by applying the multi-valued version of the fixed-point theorem and the extended version of the theory of majorants, we derive a practical condition in the form of inequalities that can be solved in practice.
Furthermore, by the definitions of the functions (mu_{1}(t)), (mu_{2}(t)) given in (17), (18), we have a condition in the form of a differential equation, sinbigl zeta(t bigr)mu_{1}^{prime}(t -cos bigl(zet -cosigr)mu_{2}^{prime}(t)=0, quad t in J, (39) and the conditions mu_{1}(0)=0, quad mbigl zetaquad mu_{2}(0)=0.
The third group is what she calls "absent minded professors," which are easily distracted people who might even have a diagnosable condition in the form of attention deficit hyperactivity disorder.
Two additional regressors were included in each condition in the form of parametric modulators predictive of (1) amount of sure win magnitude (SW) offered on each trial, and (2) decision weights, w(P), reflective of subjective distortions of actual probabilities as estimated by the behavioral decision-making model outlined above.
There is also a metabolic element to the condition in the form of insulin resistance that may result in long-term morbidity.
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