Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

Math students may not blink at calculating probabilities, measuring the area beneath curves or evaluating matrices, yet they often find themselves at sea when first confronted with writing proofs.

A type of chaos found in everything from prime numbers to turbulence can unify a pair of unrelated ideas, revealing a ...

MR. FRANKLAND (NATURE, September 7) has raised the old problem of Bertrand's proof of the parallel-axiom by a consideration of infinite areas. This is perhaps the most subtle and the most specious of ...

A technology once confined to academic papers is now being called out in US government reports and powering the settlement systems of global banks. Zero-knowledge proofs (ZK-proofs) are cryptographic ...

GeoLogic can handle five types of objects: Point (P), Line (L), Circle (C), Angle (A) (which include a direction of a line or a "length" of an arc), and Ratio (D) (ratio of products of lengths, ...

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 ...

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 ...

This is a preview. Log in through your library . Journal Information PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, ...

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

This article presents an introduction to a new logical reasoning method for Euclidean geometry basedon the invariance principle of information (data). Due to this ...