In the iconic "Sound of Music" score, "My Favorite Things," a young Julie Andrews lists snowflakes as objects that bring her ...
Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...
Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
RIKEN researchers have discovered how right-handed molecules in our cells can give rise to cells that are not symmetrical ...
In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...
Ling, A. and Pandya, N. (2025) Quantum Computing and Quantum Sensing: A Pedagogical Introduction to Emerging Quantum Technologies. Journal of Applied Mathematics and Physics, 13, 4341-4354. doi: ...
Abstract: This paper proposes sum-of-squares (SOS) methodologies for stability analysis and region-of-attraction (ROA) estimation for nonlinear systems represented by polynomial fuzzy models via ...
This is a black-box polynomial root finder written in modern C++ (header only, no dependencies except the standard library). It is based on the 1975 paper: K. Madsen and J. Reid, "Fortran Subroutines ...
Abstract: This brief is concerned with stability analysis for delayed neural networks (DNNs). By establishing polynomials and introducing slack variables reasonably, some improved delay-product type ...
Solving robot IK by finding zeros of a polynomial, from "IK-Geo: Unified Robot Inverse Kinematics Using Subproblem Decomposition" and "Redundancy parameterization and inverse kinematics of 7-DOF ...
In this review, we will discuss how the chiral symmetry and U_A(1) breaking effects are reflected in the correlation functions. Using the Banks-Casher formula, one can identify the density of zero ...
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