A morphogen is a type of signalling molecule that imparts pattern to a developmental field by acting directly on cells in a concentration-dependent manner. The best-studied model system for ...

Color gradient filament is fun stuff to play with. It lets you make 3D prints that slowly fade from one color to another along the Z-axis. [David Gozzard] wanted to do some printing with this effect, ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

Abstract: Stochastic gradient descent (SGD) is a popular and efficient method with wide applications in training deep neural nets and other nonconvex models. While the behavior of SGD is well ...

Abstract: This article considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and ...

The Gradient Level Wind Analysis is a snapshot of the airflow near the surface of the earth. The arrowed lines are called streamlines and represent the direction of the wind. The dashed lines are ...

Introduction Identifying acute hypercapnic respiratory failure is crucial in the initial management of acute exacerbations of COPD. Guidelines recommend obtaining arterial blood samples but these are ...