The risks of executing untrusted Python code range from introducing vulnerabilities to compromising sensitive data. Yet, as AI agents grow more sophisticated, their reliance on dynamic code ...

In compressible fluid dynamics, this phenomenon emerges as a natural consequence of nonlinear effects within the Euler equations. Recent analytical and geometric techniques have significantly ...

Such techniques allow for a precise treatment of the nonlinear dynamics governing Rayleigh–Bénard convection, as well as extensions to compressible and surface-tension-driven flows. The ...

This simulation models thermal convection in a fluid layer heated from below and cooled from above - a fundamental process in fluid dynamics known as Rayleigh-Bénard convection. The implementation is ...

Abstract: One Dimensional (1D) Double Weight (DW) code families are one of the coding schemes reported for Spectral Amplitude Coding - Optical Code Division Multiple Access systems. Modified Double ...

You are given an m x n integer matrix matrix with the following two properties: Each row is sorted in non-decreasing order. The first integer of each row is greater than the last integer of the ...

2021, ). Here we extend this investigation to compressible flows using the anelastic liquid approximation (ALA) and address four related issues: (a) Exact conservation of tracer discretized fields ...