Independent Researcher, West Des Moines, IA, USA. (v) Bulk dynamics unaffected. Each of (i)-(iv) holds without any modification of the Euler-Lagrange equations: the transition is purely algebraic. The ...

The prediction of epileptic seizure, like the disease itself, is a very old but largely unresolved problem. The prediction may greatly improve the quality of life for an epileptic patient. A low-cost ...

This continues my series of books derived from my blog. The preceding books in this series were “Structure and Randomness“, “Poincaré’s legacies“, and “An epsilon of room“. It is based primarily on ...

搭火车环游中国，告别了东北三省，正式开启内蒙古火车之旅，到达额尔古纳河的右岸——中国最冷的城市——根河。这里的历史最低气温达到-58摄氏度，每年的雪期更是长达8个月。敖鲁古雅 ...

伯克利数学 115 课程“数论导论”的讲座。内容涵盖整除性、素数、同余、二次互反律、二元二次型和狄利克雷级数。本课程的教材是 Niven、Zuckerman 和 Montgomery 合著的《数论导论》（第五版）。

This post explains the key findings and algorithm of our 2023 SIGGRAPH paper “Winding Numbers on Discrete Surfaces” . What problem does this paper solve? For a given point on a surface, we would like ...

We show that the eigenvalues of the self-adjoint extension (introduced by A.C. in 1998) of the prolate spheroidal operator reproduce the UV behavior of the squares of zeros of the Riemann zeta ...

Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, U.K. The Faraday Institution, Quad One, Harwell Science and Innovation Campus, Didcot OX11 0RA, U.K. The Faraday Institution, ...

The canonical approach to quantum gravity has been put on a firm mathematical foundation in the recent decades. Even the quantum dynamics can be rigorously defined, however, due to the tremendously ...

Differential equations of electromagnetic and similar physical fields are generally solved via antiderivative Green’s functions involving integration over a region and its boundary. Research on the ...