Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
Addressed mainly to physicist and chemical physicist, this textbook is the result of a broad compilation of current knowledge on analytical properties of Airy functions. In particular, the calculus ...
Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on ...
Can You Chip In? We’re celebrating our 1 trillionth archived web page. If you find our library useful, learn how you can help us fundraise! Can You Chip In? We’re celebrating our 1 trillionth archived ...
The Leidenfrost effect is known for droplets dancing on hot pans, but its inverse is even stranger. This documentary explores ...
It’s called mental inversion, and here’s how it works. Thinking forward is an automatic process. Cause, then effect. Input, then output. A to B. It feels logical—and normal to start with a conclusion, ...
Calcium is a nutrient that all living organisms, including humans, need. Dietary sources of calcium include dairy products, green leafy vegetables, nuts, seeds, and fortified products. Calcium is the ...
Your brain is constantly at work, performing processes like thinking, concentrating, remembering, and more. During these activities, your brain cells constantly communicate with each other. This ...
Abstract: In robotics field, safety is an extensively researched subject. This article proposes an approach, which is based on high-order control barrier functions (HOCBFs) and computed torque control ...
In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce the computational cost for ...
Abstract: A new response surface methodology (RSM) called the squeeze response surface methodology (SRSM) is proposed to gain the approximate symbolic network reliability function (SNRF). The proposed ...
What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...
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