In the default model, the graph representing each individual enhancer can be arbitrarily complicated. To show how the ABC Score formula can arise from the default model, we need to impose the further ...

The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

A new proof solves the “Kakeya conjecture” in three dimensions, opening up a new set of possibilities for mathematics, from computer science to cryptography ...

Status of changes to the first-generation limit on citizenship Updated The Citizenship Act includes a first-generation limit to citizenship by descent. This limit generally means someone is not ...

Now, more than 122 years after it was first proposed, Kamata and two other mathematicians have finally proved that a solution ...

"I joined the air force 35 years ago, aged 18, and went straight to Germany, based on a Tornado aircraft," says British Air Commodore Andy Turk, who is now deputy commander of the Nato Airborne ...

As that comment highlights, evidence is often contested and proof elusive, including during the pandemic, when many experts were urging governments to “follow the science”. But that irate ...

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Jonathan Powell, the UK national security adviser, was “intimately involved” in helping Ukraine and the US reach a ceasefire deal to put to Russia, according to government sources reported by ...

Correspondence to Dr Daniela Sia, Division of Liver Diseases, Department of Medicine, Tisch Cancer Institute, Liver Cancer Program, Icahn School of Medicine at Mount Sinai, New York, New York, USA; ...

This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the ...