The magnitude of the spatial and energy scales in homogeneous intrinsic amorphous semiconductors resulting from the long-ranged Coulomb potential due to a random distribution of charged defects is calculated. It is sh...
The magnitude of the spatial and energy scales in homogeneous intrinsic amorphous semiconductors resulting from the long-ranged Coulomb potential due to a random distribution of charged defects is calculated. It is shown that, for a reasonable concentration of charges, around 1018cm−3, in the absence of strong inhomogeneities, the magnitude of the long-range potential is small and does not affect significantly the electronic structure of the localized states. With strong inhomogeneities, the theoretical situation is not clear and more research is needed.
The paper outlines the procedure used in designing and evaluating a solar water system being developed for the Ingham County Geriatric Medical Care Facility. The system consists of 10,000 square feet of dual glazed fl...
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The paper outlines the procedure used in designing and evaluating a solar water system being developed for the Ingham County Geriatric Medical Care Facility. The system consists of 10,000 square feet of dual glazed flatplate copper collectors which are to heat both potable and laundry water. The performance of the system is analyzed using hourly measured temperature and solar radiation data for Lansing, Michigan from the year 1974. The results of the simulation provide yearly, monthly and daily energy outputs, average hourly energy distribution, the frquency of pump cycling, temperature at critical points in the system, instantaneous and average system efficiency, and the effects on each of the above from variations in collector orientation, flow rate, and/or differential temperature control strategies. An economic analysis of the system is presented for three scenarios for fuel-oil prices extending over the projected life of the building.
In this paper, we employ the Caputo fractional derivative (CFD) approach and utilize the truncated exponential method to tackle linear fractional optimal control problems (FOCPs) with equality and inequality constrain...
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In this paper, we employ the Caputo fractional derivative (CFD) approach and utilize the truncated exponential method to tackle linear fractional optimal control problems (FOCPs) with equality and inequality constraints in multi-dimensional settings. By applying the truncated exponential method, we transform the FOCP into a system of algebraic equations that can be readily solved. Our analysis extends to the convergence and error estimation (EE) of truncated exponential method polynomials, and we introduce a residual correction procedure to refine error estimates. To assess the effectiveness and applicability of the proposed method, we conduct experiments on three different examples and compare our results with those of the previously obtained ones. Our findings yield very satisfactory results, and in some cases, we obtain exact solutions.
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