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How matrices represent physical transformations in spacetime The geometric interpretation of vectors as displacement in spacetime Why linearity matters in physics: superposition and field theories ...

LLMs and string theory suggest that language and reality both emerge from projections across hidden dimensions.

Abstract: The paper considers a wide class of nonlinear circuits with an ... Moreover, it admits an elegant discrete-time (DT) analogue. Indeed, the linear-gradient form, combined with geometric ...

Abstract: In this paper, we consider a second-order abstract linear equation with infinite memory and time delay terms. Under appropriate assumptions on the convolution kernel and on the weight of the ...

Mathematicians’ Favorite Shapes Hold the Key to Big Mathematical Mysteries ...

This week’s rug news includes market updates from Kas and Capel rugs along with a new collaboration for Loloi.

Additionally, it was found that length traits significantly impact the volumes of the embryo and endosperm, with linear regression coefficients of 0.599 and 0.502 ... point cloud data conversion, and ...

If you're welcoming spring with a fresh manicure, why not choose matcha green for a lively look? Browse 10 ways to approach ...

Research Center for Quantum Physics and Technologies, Inner Mongolia University, Hohhot 010021, China School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China ...