Abstract: In this paper, we consider inflectional instability of linearized incompressible Euler equations in a continuous time formulation. Inflectional instability is a linear inviscid instability ...
Abstract: In this paper we derive Hamel equations for the motion of nonholonomic systems subject to inequality constraints in quasivelocities. As examples, the vertical rolling disk hitting a wall and ...
A century ago, Erwin Schrödinger came up with an equation that says how the quantum world behaves. Now scientists are asking ...
Heun functions, which generalise the well‐known hypergeometric functions, are solutions to the Heun differential equation – a second‐order linear differential equation with four regular singular ...
The demographic makeup of the trigger schools raises questions about whether Texas' accountability system fairly considers historic inequities tied to race and poverty.
Several approaches are capable of beating the classical 'diffraction limit'. In the optical domain, not only are superlenses a promising choice: concepts such as super-oscillations could provide ...
The key intuition of SDEdit is to "hijack" the reverse stochastic process of SDE-based generative models, as illustrated in the figure below. Given an input image for editing, such as a stroke ...
An iron nail is placed in a solution of blue copper(II) sulfate. Over time, a brown solid appears and the solution becomes colourless. This is because copper and a solution of iron(II) sulfate forms.