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In a certain way, HHT tries to work in a similar way to that used by Fourier: mathematically expressing a signal as an addition of pseudo-sinusoidal components.
We propose a computational framework to support researchers in mathematically expressing the important but often hard-to-formalise relationships spanning social and physical geography.
The principal contributions of the present work can be summarized as follows: We propose a computational framework to support researchers in mathematically expressing the important but often hard-to-formalise relationships spanning social and physical geography.
The Richard's equation mathematically expressing the infiltration problem is a transport type of equation describing two different phenomena namely advection and diffusion being hyperbolic and parabolic type of differential equation, respectively each having their own physical properties thus a single numerical scheme would not essentially be suitable for both.
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Einstein mathematically expressed the statistical nature of the three possible radiative transition routes (spontaneous emission, stimulated emission, and absorption) with the so-called Einstein coefficients and quantified the relations between the three processes.
It concerned the use of mathematically expressed algorithms or physically constructed computers to predict the future of a system, such as the weather, that includes random components i.e., an automaton in Turing's logical sense immersed in a random environment.
This function is mathematically expressed as follows.
It is mathematically expressed as (24).
This correlation can be mathematically expressed using Eq. (9).
Since Galilei, our best theories from the natural sciences are mathematically expressed.
The signal received at the base station can be mathematically expressed as (1).
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