From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When ...
Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...
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When mathematics meets aesthetics: Tessellations as a precise tool for solving complex problems
In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...
Prof. Dr. Heinrich Begehr, Institute of Mathematics, Freie Universität Berlin, Email: heinrich.begehr@fu-berlin.de Dajiang ...
The researchers’ device applies principles of neural networking to an optical framework. As a wave encoded with a PDE passes through the ONE’s series of components, its properties gradually shift and ...
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...
In teaching and textbook-writing on partial differential equations the author has observed some peculiar phenomena. He gives a bouquet of such observations in the article. Publisher Information ...
Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...
In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...
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