Results 61 to 70 of about 60,854 (281)
Classical integrable lattice models through quantum group related formalism
We translate effectively our earlier quantum constructions to the classical language and using Yang-Baxterisation of the Faddeev-Reshetikhin-Takhtajan algebra are able to construct Lax operators and associated $r$-matrices of classical integrable models.
A. Kundu +12 more
core +2 more sources
Predictive models successfully screen nanoparticles for toxicity and cellular uptake. Yet, complex biological dynamics and sparse, nonstandardized data limit their accuracy. The field urgently needs integrated artificial intelligence/machine learning, systems biology, and open‐access data protocols to bridge the gap between materials science and safe ...
Mariya L. Ivanova +4 more
wiley +1 more source
More exotic field theories in 3+1 dimensions
We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities.
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, Shu-Heng Shao
doaj +1 more source
Nonstandard representations of type C affine Hecke algebra from K-operators
We construct nonstandard finite-dimensional representations of type C affine Hecke algebra from the viewpoint of quantum integrable models. There exists two classes of nonstandard solutions to the Yang-Baxter equation called the Cremmer-Gervais and ...
Motegi, Kohei
core +1 more source
The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source
Symmetries and exact solutions of some integrable Haldane-Shastry like spin chains
By using a class of `anyon like' representations of permutation algebra, which pick up nontrivial phase factors while interchanging the spins of two lattice sites, we construct some integrable variants of $SU(M)$ Haldane-Shastry (HS) spin chain.
Albertini +39 more
core +2 more sources
Existentially Closed Models in the Framework of Arithmetic [PDF]
We prove that the standard cut is definable in each existentially closed model of IΔ0 + exp by a (parameter free) П1–formula. This definition is optimal with respect to quantifier complexity and allows us to improve some previously known results on ...
Adamowicz, Zofia +2 more
core +1 more source
Predicting Performance of Hall Effect Ion Source Using Machine Learning
This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
wiley +1 more source
Stability of discrete-time delayed pathogen infection models with latently infected cells
This paper studies the global stability of a class of discrete-time delayed pathogen infection models with both latently infected cells and actively infected cells.
A. M. Elaiw, M. A. Alshaikh
doaj +1 more source
Satisfaction classes in nonstandard models of first-order arithmetic [PDF]
A satisfaction class is a set of nonstandard sentences respecting Tarski's truth definition. We are mainly interested in full satisfaction classes, i.e., satisfaction classes which decides all nonstandard sentences.
Engström, Fredrik
core +3 more sources

