Doubly periodic weaves—entangled structures with repeating patterns in two independent directions—pose a mathematical ...
PIANO uses self-supervised learning to extract representations containing physical invariants from partial differential equations (PDEs) systems with different physical mechanisms, thereby ...
Researchers developed crossing matrices to classify doubly periodic weaves, addressing challenges in mathematical modeling of ...
(Image: Adapted from common sources) Topological materials are defined by their electronic properties, which are protected by topological invariants. These invariants are mathematical constructs that ...
AN account of Poincaré's theory of integral invariants with special reference to analytical dynamics is given in the volume under notice. It opens with Hamilton's principle of least action and ...
Les facteurs invariants, définis à inversibles de près, caractérisent en fait les classes pour la relation d'équivalence moins précise si et seulement s'il existe telles que A = TBU. Pour trouver les ...
Later I did some work on generalised Donaldson-Thomas invariants. More recently I have been trying to use these invariants to define geometric structures on spaces of stability conditions. All these ...