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Digital images may be designed so as to either call attention to or hide the decision-making process that was used to create them (Bolter 2001), such as by either making the mathematical terms of a simulation visible to users or by simply rendering the results of the simulation in an animation.
For simplicity reasons and for making the mathematical notation easy to follow, we denote the following: P SR i by P 1 i, P RD i by P 2 i, γ SR i by γ 1 i, γ RD i by γ 2 i, Ω SP i by Ω 1 i, and Ω RP i by Ω 2 i.
If we only consider the arrival of new packets in space, the packet density is λ=λ s λ t T. As this network model entails two independent Poisson distributions, we would have to average over both the spatial and temporal statistics to obtain the outage probability, making the mathematical analysis infeasible.
The authors wish to thank Ken Chen, Li Ding, Elaine Mardis, and John Wallis for comments on the draft manuscript, as well as the referees for their suggestions related to making the mathematical content more accessible.
Asymptotic approach to kinetic models of biological networks suggests new directions of thinking on a biological problem, making the mathematical model a useful tool accompanying biological reasoning and allowing to put in order diverse experimental observations.
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The publication of Volume II of Frege's Grundgesetze, and above all Russell's work The Principles of Mathematics, made the mathematical community fully aware of the existence of the set-theoretic paradoxes, of their impact and importance.
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It makes the mathematical treatment much more difficult.
Grosseteste's pupil Roger Bacon (c. 1220 1292) made the mathematical and experimental methods the key to natural science.
However, many factors make the mathematical analysis of the rolling process very complex and time-consuming.
Its presentation makes the mathematical underpinnings of robot motion accessible to students of computer science and engineering, rleating low-level implementation details to high-level algorithmic concepts.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com