The starting point for rigorous reasoning in mathematics is a system of axioms. An axiom is a statement that is assumed, without demonstration, to be true. It is usually self-evident, for example, ...

HQ Building Design Inc., Oshawa, Canada. The Goldbach Conjecture is one of the oldest unsolved problems in number theory. The conjecture has been shown to hold for all integers less than 4 × 10 18 [1] ...

Here one can find the codes in python to prove the conjecture in equation (7) of the paper titled "Bound entangled states are useful in prepare-and-measure scenarios".

There was an error while loading. Please reload this page. The Collatz Conjecture, also known as the 3n+1 Conjecture or the Ulam Conjecture, is an unsolved ...

After an eight-year struggle, embattled Japanese mathematician Shinichi Mochizuki has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in ...

Alexandru Ghitza receives funding from the Australian Research Council. A couple of months ago, Japanese mathematician Shinichi Mochizuki posted the latest in a series of four papers claiming the ...

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it. In the ...

A general specification is given of all possible symmetry breaking patterns of the most general Higgs potential with one irreducible representation of a compact Lie group G. The common origin of all ...