Banach spaces, as complete normed vector spaces, form a central framework in modern functional analysis. Their rich geometric structure underpins much of the theoretical development in approximation ...

Here is a ‘greedy’ algorithm to maximize overdraft fees for bank transactions Reorder outstanding transactions so that those with larger amount appear first Process the transactions in the order so ...

Algorithms have taken on an almost mythical significance in the modern world. They determine what you see on social media and when browsing online, help form people’s belief systems, and impact the ...

In life, we sometimes have to make decisions without all the information we want; that’s true in computer science, too. This is the realm of online algorithms — which, despite their name, don’t ...

In 1983 the Eighth Amendment to the Irish constitution enshrined an abortion ban that had prevailed in the nation for more than a century. Public opinion on the issue shifted in the new millennium, ...

Researchers at Tsinghua University and Z.ai built IndexCache to eliminate redundant computation in sparse attention models ...

Price-setting algorithms play a major role in today’s economy. But some experts worry that, without careful checks, these programs might inadvertently learn to discriminate against minority groups and ...