Genomic surveillance—the process of monitoring and sequencing pathogens—is one of the most important tools for detecting ...

Abstract: It is well known that the Newton-Raphson method is the most popular iterative method for nonlinear finite element problems. The method has a quadratic convergence. Under certain conditions ...

Abstract: Power flow (PF) is the basis of steady-state analysis and control of power systems. The conventional model-driven PF formulated by a set of implicated nonlinear equations is solved ...

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs). Phase Plane app: Analyze two-dimensional autonomous ODE systems. Slope Field app: ...

In biomedical research using mouse models, preparing pseudopregnant recipient females is a standard step in embryo transfer ...

Underpinning much of modern technology, from smartphones to scanning tunneling microscopes to particle colliders, is Fermi's Golden Rule. Named for 20th-century Italian American physicist Enrico Fermi ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Researchers in the United States have developed a new method to extract 99% pure ...

Alabama is seeking to execute a man with lethal injection hours after his nitrogen execution was prevented from going forward.

Discover a five-step process to create a Fable mode for Opus, allowing you to reduce AI costs while maintaining high-quality ...

Many neurons in the primary visual cortex are tuned to orientation, and their responses as a function of orientation, known as tuning curves, are typically bell-shaped (Fig. 1a). From these tuning ...

This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods. Topics include nonlinear dynamics of passive robots (walkers, ...