The previous framework (left) fails to take into account noises of the brain. The brain state transitions were written as point-to-point, the dynamics as deterministic, and the control cost as the ...

We use asymptotic methods to analyze the effects of discreteness and random noise on a mathematical model of the lithiation/delithiation dynamics of a single electrode nanoparticle. We begin by ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Researchers have built a small-scale computer that runs on thermal noise, the random electrical fluctuations that conventional chip designers spend billions trying to suppress. The device, called a ...