Articles tagged with Derivatives
Mathematicians from RUDN University have proved a unique continuation theorem for a one dimensional solution to a fractional order diffusion problem, which can help calculate water movement in porous rock. The results of their work are needed for more accurate analysis and numerical simulation of solutions.
Researchers developed a new dynamic model that quantitatively incorporates group behavior into individual decision-making, predicting the sensitivity of individuals to persuasion and deception. The model uses non-integer derivatives to compress the influence of groups into a single parameter.
A team of mathematicians from the University of Averio combined past and future operators to create a new theory for fractional calculus, which can predict how variables change and react. This breakthrough has implications for various technologies and applications, including information exchange and automation.
Researchers at the University of Pennsylvania propose a new theoretical framework for metamaterials that can perform 'photonic calculus' on light waves, enabling fast and efficient calculations. This technology could revolutionize fields such as image processing by allowing real-time manipulation of light wave profiles without conversi...