We present a closed-form expression for the received power through parametrized Dirac-Delta functions inside the framework of input and output integrals. This expression is derived from the 'spike' property of the Dirac-Delta function which was generalized to the case where the argument might depend on a polynomial function containing an infinity number of free parameters. These nonlinear Dirac-Delta integrals can be interpreted as the convolution of a physical observable that falls to distance such as power intensity. This methodology is applied to extract values of the emitted power by a base station antenna inside a zone that contains inhomogeneous buildings and others obstacles. In order to identify the system parameters, the Monte Carlo method was used. It has served to identify up to 12 free parameters which would give information about the power intensity values with a precision of 8 ± 3 m.
We present a scheme of eHealth based on teleconsults aimed to reduce unexpected events and complications in type-2 diabetes mellitus (DM-II). To this end, this study has considered the history of glucose tests taken as input inside a predictive mathematical scheme based on probabilities. The resulting output goes to a real-time monitoring system in order to detect and update those cases where patients would require of rapid assistance. The simulations have shown that the opportune intervention of teleconsults might be effective in the sense of monitoring diet and drug-based treatment by employing simple mobile phones and minimal software applications. For example, the case of a critic patient with a rapid increasing of glucose above 200 mg/dL, the opportune intervention of teleconsults might reduce these values by a 50% during a time of 20±2 days. It can also be traduced as the improvement on the stability of patient against the risk of cardiovascular events, or others DM-II inherent complications.
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