Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth curve, it also belongs to a ...
Maximal univalent disks of real rational functions and Hermite-Biehler polynomials.The well-known Hermite-Biehler theorem claims that a univariate monic polynomial $ s$ has all roots in the open upper half-plane if and only if $ s=p+iq$ and $ q$ and $ k-1$ has a negative leading ...
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Analyzing data to calculate probability has immense application outside of the classroom. Learn how statistics can be analyzed to identify useful probabilities in three real-world examples: college, baseball, and the lottery. Real Life Math You probably hear time and time again, how important math...
By meeting these conditions, which specify inequality-based criteria on the coefficients of the polynomials in the numerator and denominator of a biproper function, some classes of interval positive real rational functions can be constructed. A sample application of the obtained results in feedback ...
This can greatly simplify life if you use many different configurations. For example, if you are running on Linux and you configure like this: tools/configure.sh board:configuration The you can use the following command to both (1) make sure that the configuration is up to date, AND (2...
Previously the main purpose of the modulation of solar radiation was to reduce buildings’ energy consumption for heating and cooling. Besides the thermal effect of solar radiation on the indoor atmosphere, solar radiation exerts great influence on the human life within the buildings, especially on ...
While papers such as Fleten and Näsäkkälä’s (2010) assume an infinite life of a plant to obtain a closed-form solution, we assume a finite useful life. Our assumption is more realistic given that nearing the end of its life, an electric utility will solicit another RFP. To ...
This can greatly simplify life if you use many different configurations. For example, if you are running on Linux and you configure like this: tools/configure.sh board:configuration The you can use the following command to both (1) make sure that the configuration is up to date, AND (2...
Depreciation is a myth in the vast majority of instances because it is very rare that, at the end of a building’s “useful life” (the number of years over which tax code allows for depreciation) the building is demolished. What is more common is that at the end of the “useful life...