In the default model, the graph representing each individual enhancer can be arbitrarily complicated. To show how the ABC Score formula can arise from the default model, we need to impose the further ...

School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, P. R. China Center for Differential Equations and their Applications, Hebei University of ...

IMU + X(GNSS, 6DoF Odom) Loosely-Coupled Fusion Localization based on ESKF, IEKF, UKF(UKF/SPKF, JUKF, SVD-UKF) and MAP ...

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 ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Synchronisation regions, also known as Arnold's tongues because of the shape they take when shown on a graph help scientists ... in our understanding of nonlinear systems. "By experimentally ...

In this study, we simulate the behavior of cardiac tissue using the nonlinear FHN system, governed by the following equations: Figure 1. Phase space (w vs. v) of the FHN system. Presented are the ...

But these are no ordinary equations, as the three that are pre-answered are blatantly incorrect based on the laws of addition you most likely learned in elementary school. So the key to solving ...