True or false: there exists a differentiable function $f(x,y)$ whose tangent plane at $(1, 2)$ is $2x + z= 3$? The plane $x + 2y = 5$ is a vertical plane, but tangent ...

Abstract: We present closed-form expressions for marginalizing and conditioning Gaussians onto linear manifolds, and demonstrate how to apply these expressions to smooth non-linear manifolds through ...

Abstract: An open-circuit voltage (OCV) model, which represents OCV as a function of state of charge (SOC), is essential for estimating the state of a battery. Typically, the OCV-SOC characteristic is ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of ...

A new study provides a rigorous theoretical and numerical analysis of the accuracy of the method of characteristics (MoC), a ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of ...

This valuable study presents a plastic recurrent spiking network model that spontaneously generates repeating neuronal sequences under unstructured inputs. The authors provide solid evidence that, ...

For decades, scientists have tried and failed to explain how the force that binds the heart of atoms together really works.

Visualization, Dimensionality Reduction, Reproducibility, Stability, Multivariate Quantum Data, Information Retrieval ...

Citizens' attitudes toward democracy still hinge on government performance.Key findings In 2022, more than seven in 10 South Africans (72%) said they would be "willing" or "very willing" to forgo ...

We publish a list of stocks with low volatility and momentum each month. We provide data for BSE 500 and BSE 100 stocks.

The future of the strait is not shaped by decisive breakthroughs. It is shaped by the continuous, indefinite management of a divide that cannot be closed, a delicate choreography that is at once neces ...