The mathematics underpinning the modern method of elliptic curve cryptography originated with Renaissance architect Filippo ...

Have you ever wondered who is behind geometry's most fundamental truths? You guessed it: it is Euclid of Greece.

Mathematicians’ Favorite Shapes Hold the Key to Big Mathematical Mysteries ...

Quasiregular mappings investigate covering questions in quasiconformal geometry. A classic example of such questions is the following result based on the uniformization theorem: the only Riemann ...

hyperbolic geometry is set on a curved surface—creating configurations that defy the mathematical theorems discovered by Euclid some 2,000 years ago. Variations of hyperbolic space can be found ...

Eventually, Étienne gave in and gave Blaise permission to read a text by Euclid. As a teenager ... and impressed them with his projective geometry theorems. When his father got a job as a ...

The predictive power of this kind of theorem has made physics ... launching the space mission called Euclid, which, as the name implies, is looking at the geometry of space,” says Kulkarni.

theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results. It covers differential geometry far beyond what general ...

In its quest to chart the evolution of the universe, ESA’s space telescope has already amassed a massive catalog of galaxies ...

In this case, the qubit’s behavior lines up with the way we describe spacetime using regular Euclidean geometry. To illustrate the theory, Fullwood and Vedral used a ‘toy model’ of a one ...