Protons minimize energy by forming pairs with opposite spin. Same for neutrons. Each pair acts like a particle in its own right. So nuclei act very differently depending on whether they have an even ...

By tuning the Rabi frequencies, researchers were able to explore different relaxation regimes of the system. When the ratio between the Rabi frequencies was much smaller or bigger than the LEP, they ...

The dispersion equation is first used to design a parity time symmetric waveguide consisting of conjugate impedance sheets coupled in close proximity. The example shows both the eigenvalues ...

The maximum principle induces an order structure for partial differential equations, and has become an important ... through the use of the Krein-Rutman theorem and the principal eigenvalues. Its ...

Absence Of Motion,Center Of Mass,Closed-loop System,Control Design,Control Of Nonlinear Systems,Control System,Coordinate Origin,Dynamical System Analysis,Eigenvalues,Equations Of Motion,Feedback ...

Of course, the quality of iterative process Equation (2) essentially depends on the choices ... is satisfied and that the eigenvalues of matrix are real. Then the spectral radius of iteration matrices ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the ...

This important study shows how the relative importance of inter-species interactions in microbiomes can be inferred from empirical species abundance data. The methods based on statistical physics of ...