Abstract: This paper investigates the distributed least-squares (LS) problem for a multi-agent system. Unlike conventional distributed frameworks where data is partitioned row-wise or column-wise, we ...

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation ...

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation ...

In this study, we present a new approach based on Separable Physics-Informed Neural Networks (SPINNs), specifically designed to efficiently solve the BGK model. While the mesh-free nature of ...

OneNote contains features such as Equations and Symbols. The Equation feature is used to add math equations to the page, and the purpose of the Symbol is to add symbols. The Equation and Symbol ...

All the tech we rely on, from cars to smartphones, was engineered using physics. You don’t need to know the science to use these things. But a well-rounded human should understand at least some of the ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

We discuss structure-preserving model order reduction for port-Hamiltonian systems based on a nonlinear approximation ansatz which is linear with respect to a part of the state variables of the ...

Two- and three-dimensional exact solutions of the nonlinear diffusion equation are proved to exist in elliptic coordinates subject to an arbitrary piecewise constant azimuthal anisotropy. Degrees of ...

The accuracy of estimation of kidney function with the use of routine metabolic tests, such as measurement of the serum creatinine level, has been controversial. The European Kidney Function ...

“Ōdī et amō,” the Roman poet Catullus wrote of his lover Lesbia about 2,000 years ago. “I hate and I love. Why I do this, perhaps you ask. I know not, but I feel it happening and I am tortured.” Maybe ...

Word seems like an odd choice to use with mathematical equations, but the reality is Microsoft Word is a great choice. Word has a gallery of built-in equations, and you can enter your own equations or ...