The work of numerous mathematicians culminated in the discovery of hyperbolic geometry; today, thanks to virtual reality, it is possible to glimpse it beyond its formulas ...

Atoms in molecules occupy fixed positions, connected by rigid rods. A molecule such as formic acid (methanoic acid, HCOOH) is ...

The shape of the cosmos depends on a balance of two competing forces: the pull of gravity and the expansion driven by dark ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

When Alfred University Math Professor Amanda Lipnicki took up knitting as an undergraduate student, she didn’t immediately recognize how mathematics and geometry underlay the patterns of stitches ...

IT is interesting to compare the attitudes of the two most recent writers in English who deal with Euclidean geometry. Sir Thomas Heath, in the second edition of his three-volume translation of the ...

Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do ...

The cryptographic math once dismissed as fringe is now shaping US policy and bank infrastructure. StarkWare’s Eli Ben-Sasson said it’s only the beginning. A technology once confined to academic papers ...

Thomas Jefferson’s first draft of the Declaration of Independence read: “We hold these truths to be sacred and undeniable . . . ” It was supposedly Benjamin Franklin who suggested instead announcing ...

By composing the proofs of all sub-goals, we construct a complete-formal proof for the original problem," the researchers explained. Despite the technical achievements, some experts have expressed ...

Financial services firm Euclidean Capital is opening an office at 149 Fifth Avenue, one block south of the landmark Flatiron Building, Commercial Observer has learned. Euclidean, which specializes in ...