This is a preview. Log in through your library . Abstract In the present paper the authors propose an algorithmic procedure different from the known algorithms [1,2] of searching for the Liouvillian ...

The class of second-order linear dynamical systems is considered. A method and algorithm are presented to transform any system with n degrees of freedom into n independent second-order equations. The ...

In this review article, we discuss the synthesis and dynamic nature of macromolecular systems that have mechanically linked polymer chains capable of undergoing a topology transformation driven by a ...

THIS most welcome treatise fills a serious gap in English mathematical literature. It provides for the first time a comprehensive account of the general transformation theory which steadily dominates ...

Get to the root of how linear transformations power self-attention in transformers — simplified for anyone diving into deep learning. #SelfAttention #Transformers #DeepLearning Petrol stations run dry ...