A fraction a/b means a parts out of b equal parts. In 3/4, the whole is cut into 4 equal parts and you have 3. The bottom number, the denominator, names the piece size. The top number, the numerator, counts the pieces.
Every few years, the expression 8 ÷ 2(2+2) goes viral and splits the internet into two camps: the 16s and the 1s. Both camps include engineers. Both camps are furious. And both camps, remarkably, are following a rule — just not the same one. I build…
We live in an era where technological evolution is no longer linear, but exponential. Every year we witness larger, faster, and more sophisticated artificial intelligence models. Neural networks—especially Large Language Models (LLMs)—have made leaps that would have seemed…
ETH underpins hundreds of conditional hardness results across graph algorithms, fine-grained complexity, databases, and other fields. If it is false, many of those conditional lower bounds collapse or must be rebuilt on different assumptions. It is strictly stronger than P…
Mathematics deals with pure numbers: 1, 2, 3; fractions; and more exotic numbers such as pi. Since pi depends on lengths, we might think its value depends on our units. But it is the ratio of the circumference of a circle to its…
This in vitro study descriptively evaluated aspiration-line pressure waveforms between Venturi and peristaltic pump configurations and their associated tubing systems using two Stellaris systems and a KITARO artificial anterior chamber model. VAC200... Uncover the latest and most impactful research in Fluid…
Springer Nature has launched Discover Fluid Mechanics, a peer-reviewed open-access journal covering all areas of fluid mechanics research, announced in an inaugural editorial published on 1 July 2025. Researchers in fluid mechanics and adjacent fields can now consult the journal’s aims and…
OpenAI official logo (public domain, Wikimedia Commons) — CryptoBriefing brand treatment The company expects the price of AI-driven frontier math to fall sharply, even as mathematicians question who deserves credit OpenAI says a Navier-Stokes project like the one it just ran…
It feels like this post on LessWrong should mostly be preaching to the choir, but I have seen enough rationalists post probability ranges (mainly elsewhere) that maybe it is worth writing.The probability of an event is not an objective…
These 10 unsolved problems in computer science, from P versus NP to quantum advantage, bear on cryptography, algorithm design and computing's limits — here is what each asks That distinction sounds abstract, but it decides what is feasible. A problem solvable in…
The instruments of Geometry.
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