But nothing insures that a solution always exists for any set of equations you may choose to pose. vpasolve did not find one. Nor did solve. Solve just returned a result that effectively said the solution is the solution to the system of equations listed in the conditions. vpasolve tried,...
MATRIX ELEMENTS OF THE SYSTEM OF MOMENT EQUATIONS GOVERNING THE KINETICS OF SUPERPARAMAGNETIC PARTICLES An exact equation for the matrix elements of the system of moments [the expectation values of the spherical harmonics kYn,m ls t d], which govern the kinet... Y Kalmykov,S Titov - 《Physical...
To complement these experiments, we developed a mathematical model to capture the behaviour of the dual-input system: we relied on ordinary differential equations (ODEs), commonly used to model interactions among genes and other relevant processes, such as mRNA/protein degradation, basal promoter acti...
Subsequently, Turing Award laureate Judea Pearl proposed an innovatively formalized theory of causality that incorporated graphical models, structural equations, and counterfactual analysis. This groundbreaking work established the widely embraced framework of the structural causal model (SCM) (Pearl and ...
3c), requires a careful selection of the estimation method (see nonlinear methods in method overview section). Note that sometimes variables from model output can be deterministically related via a set of equations, which poses a serious problem for many, but not all, causal methods12,24. As ...
MathJax.Hub.Config({ /* load MathML extension */ extensions: ["mml2jax.js"], /* configure input and output */ jax: ["input/TeX", "input/MathML", "output/HTML-CSS"], /* align display equations to the left */ displayAlign: "left", /* set z... M Jones - Springer New York...
In this paper we discuss the stability of quasi-static paths of a single degree of freedom linearly elastic system with Coulomb friction and known normal force. A common and useful approximation for the equations that govern the slow evolution of many mechanical systems is to neglect inertia effec...
The electrification of vehicle helps to improve its operation efficiency and safety. Due to fast development of network, sensors, as well as computing technology, it becomes realizable to have vehicles driving autonomously. To achieve autonomous driving, several steps, including environment perception, ...
Lagrange’s planetary equations with time-dependent secular perturbations Barnabás Deme Celestial Mechanics and Dynamical Astronomy(2024) Associated content Detecting a planet orbiting a binary system using radial velocity data Nature AstronomyResearch Briefing12 Jun 2023 ...
3c), requires a careful selection of the estimation method (see nonlinear methods in method overview section). Note that sometimes variables from model output can be deterministically related via a set of equations, which poses a serious problem for many, but not all, causal methods12,24. As ...