Mathematician Hector Pasten has made a groundbreaking discovery in number theory, solving a problem that has puzzled mathematicians for over a century. By using a time-tested productivity hack, Pasten was able to embed information about prime factors in an elliptic curve, leading to a surprising strength in his result. This breakthrough has the potential to…
A recent article highlights the issue of missing data in scientific research, which can lead to biased results and undermine the validity of studies. Statisticians have developed techniques to deal with missing data, but the problem persists. The article explores the history of missing data and the efforts of statistician Donald Rubin to develop a…
Mathematicians have made a groundbreaking discovery in the field of geometry, solving a decades-old problem by identifying new shapes with constant width. The breakthrough was inspired by a 1986 space shuttle disaster, where physicist Richard Feynman discovered that the failure of O-ring seals was due to cold temperatures. The new shapes, including the Reuleaux triangle…
Mathematicians have been studying groups, a fundamental concept in mathematics, for centuries. Groups are sets of objects with an operation that satisfies four rules: closure, associativity, identity, and inverse. This concept has far-reaching implications in various fields, from geometry and algebra to physics and cryptography. The study of groups has led to the discovery of…
A mathematician from the University of Toronto, Daniel Litt, has been sharing probability puzzles on social media, captivating tens of thousands of people worldwide. His posts have sparked lively discussions among experts and non-experts alike, highlighting the limits of mathematical intuition and the counterintuitive nature of probabilistic reasoning. Forecast for 6 months: The popularity of…
In a groundbreaking discovery, two mathematicians, Christoph Kehle and Ryan Unger, have proved that extremal black holes can exist in the real world, contradicting a long-held theory by Stephen Hawking and his colleagues. The researchers used mathematical models to demonstrate that it is theoretically possible for extremal black holes to form, which could have significant…
