Results 71 to 80 of about 6,644 (238)
Work Versus Force: Simultaneous Processes for Describing Interactions
Advanced Physics Research, EarlyView.ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies +2 more
wiley +1 more source
A formula for the solution of the Navier-Stokes equation based on a method of Chorin [PDF]
, 1974 Recently, A. Chorin has found a numerical scheme for solving the Navier-Stokes equations which has the pleasing feature of not breaking down at high Reynolds numbers R .
Marsden, J.
core
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
On the Composition of Rotations in $\mathbb{R}^3$
Communications in Advanced Mathematical SciencesEuler stated that the composition of two successive rotations is also a rotation, but did not solve the problem of finding the resultant (axis and angle of rotation) of the composition. It is Rodrigues who solved it.
François Dubeau
doaj +1 more source
Berichte zur Wissenschaftsgeschichte, EarlyView.I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
wiley +1 more source
Multi‐Scale Hybrid Modeling to Predict Cell Culture Process With Metabolic Phase Transitions
Biotechnology and Bioengineering, EarlyView.ABSTRACT To advance understanding of cellular metabolism and reduce batch‐to‐batch variability in cell culture processes, this study introduces a multi‐scale hybrid modeling framework designed to simulate and predict the dynamic behavior of CHO cell cultures undergoing metabolic phase transitions.
Keqi Wang, Sarah W. Harcum, Wei Xie
wiley +1 more source
On Some Multipliers Related to Discrete Fractional Integrals
MathematicsThis paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary fields ...
Jinhua Cheng
doaj +1 more source
On the Prediction of pDNA Productivity Across Diverse Bioprocesses Using Ensemble Hybrid Models
Biotechnology and Bioengineering, EarlyView.ABSTRACT The global demand for plasmid DNA (pDNA) is rapidly increasing due to its key role in the manufacture of mRNA vaccines and advanced therapy medicinal products (ATMPs). However, the reliance on suboptimal batch and/or fed‐batch processes, as well as the diversity and increasing complexity of plasmid constructs pose significant challenges during
Nikolaos Stratis +2 more
wiley +1 more source
Biotechnology and Bioengineering, EarlyView.ABSTRACT Reinforcement learning (RL) has been used to control a wide range of dynamic processes, especially ones that are too complex to model well or have stochastic environmental perturbations. Fed‐batch fermentations are subject to changes in starting cell growth rates and process variations that can affect cell growth and secreted target production.
Sai Harish Uthravalli +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source