For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

The simplest way to start documenting Excel formulas like a coder is by using the N () function. Although its primary job is to convert non-numeric values into numbers, it has a hidden quirk: because ...

You’d be surprised how many young people can’t read this. One of its conclusions tells the sad tale. “Between 2020 and 2025, the number of students whose math skills fall below high school level has ...

Targeted drug delivery has long been a cornerstone goal of modern medicine—sending therapies exactly where they’re needed while sparing healthy tissues. Yet creating treatments that can decide when ...

Boolean expressions and Boolean logic are widely used in mathematics, computer science, computer programming, and philosophy. These take their name from the 19 th century mathematician and logician ...

Earlier this month, 36 sharp-witted high school students from around the globe stepped foot on the warm and breezy campus of Stanford University. Out of more than 4,000 students from more than 2,000 ...

Mathematicians love the certainty of proofs. This is how they verify that their intuition matches observable truth. This logical love of proofs is uniquely suited to opening up the black box of ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...

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