The purpose of this note is to show that any order isomorphism between noncommutative $L^{2}-spaces$ associated with von Neumann algebras is decomposed into a sum of ...

Snyder (1989) has misrepresented the central characteristic of Bohr's complementarity thesis and has similarly misrepresented our ideas of methodological complementarity and causal isomorphism. Bohr's ...

For decades, the graph isomorphism problem has held a special status within complexity theory. While thousands of other computational problems have meekly succumbed to categorization as either hard or ...

SHENZHEN, China, March 17, 2025 /PRNewswire/ -- MicroAlgo Inc. (NASDAQ: MLGO), (the "Company"or "MicroAlgo"), today announced the introduction of an innovative solution: a multi-simulator ...

Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm. The back and forth ...

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest. “In Laci Babai, you have one of the most legendary and fearsome theoretical computer scientists there ever ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a ...