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Although mathematical solutions for specific boundaries had been obtained through the years, it was not until 1931 that Douglas (and independently the Hungarian American mathematician Tibor Radó) first proved the existence of a minimal solution for any given "simple" boundary.
Although mathematical solutions for specific boundaries had been obtained through the years, it was not until 1931 that the American mathematician Jesse Douglas (and independently the Hungarian American mathematician Tibor Radó) first proved the existence of a minimal solution for any given "simple" boundary.
The simulations are validated through a comparison with the exact mathematical solutions for several simple cases.
Maxwell's theory of electromagnetism, for instance, admits two kinds of mathematical solutions for the equations describing the radiation of energy in an electromagnetic field.
For this purpose a dynamic model of a part of the ENTSO-E system was constructed by applying two professional dynamic-simulation software tools that use different approaches to obtain mathematical solutions for the model to solve the problem.
Lakhtakia derived the mathematical solutions for scattering of electromagnetic wave from sphere made up of nihility and concluded that its Back-Scattering efficiency is exactly zero, he also reported that both Forward-scattering and Extinction efficiencies of nihility sphere showed larger magnitude than perfect electric and perfect magnetic conductors [12].
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If someone hadn't bumped off Fenster, he might have found a mathematical solution for unifying this fractured plot.
Considering the geometry then provides a mathematical solution for the motion of the Sun through the average rest frame of the stars being considered.
Therefore, it is difficult to have a mathematical solution for the valleys in the Martian ionosphere.
A new mathematical solution for the laminar combustion of a spray containing three-phase particles is derived.
The paper details three layers of analysis for designing optimal animal waste supply for anaerobic bio-digestion, including model formulation and mathematical solution for each stage.
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