Infinity used to be the place where mathematics ran out of road, a hazy horizon rather than a mapped landscape. Now a pair of ...

Quantum theory and general relativity have long described the universe with incompatible languages, one speaking in ...

Ramanujan's pi-computing machinery exactly mirrors the necessary structure in modern physical theories (LCFTs).

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

Abstract: Existing data-driven fault diagnosis methods assume that the label sets of the training data and test data are consistent, which is usually not applicable for real applications since the ...

Abstract: This paper presents a hybrid soft computing modeling approach, a neurofuzzy system based on rough set theory and genetic algorithms (NFRSGA). To solve the curse of dimensionality problem of ...