The differential-integral equation method of Copson is employed to derive integral equations in the components of the aperture field. These are then solved approximately for normally incident ...

Abstract: In a previous paper, a method was presented to integrate numerically nonlinear stochastic differential equations (SDEs) with additive, Gaussian, white noise. The method, a generalization of ...

a German engineer and physicist named Ernst Karl Abbe found a formula that connected the maximum resolution to the wavelength of light and a number called the numerical aperture: d = w/2N where w ...

Although at first I was skeptical about the deal, I now hope that Apple will use Pixelmator’s expertise to bring Aperture back. With Pixelmator under Apple’s control, it’s time for Aperture ...

This study utilizes an elegant approach to examine valence encoding of the mesolimbic dopamine system. The findings are valuable, demonstrating differential responses of dopamine to the same taste ...

optimagic is a Python package for numerical optimization. It is a unified interface to optimizers from SciPy, NlOpt and other packages. optimagic's minimize function works just like SciPy's, so you ...

Max Planck Institute of Microstructure Physics, Weinberg 2, Halle 06120, Germany Institute of Physics, Martin Luther University Halle-Wittenberg, Von-Danckelmann-Platz 3, Halle 06120, Germany ...

Simultaneously, it wraps the classic C/Fortran methods, making it easy to switch over to them whenever necessary. Solving differential equations with different methods from different languages and ...