Abstract: Mathematicians and Computer Scientists love Fibonacci numbers because the rule to generate the sequence is very simple, but they are related to many challenging conjectures. There are around ...

The stable or robust transfer of matter, information, or energy, from one point in space to another is a crucial scientific and technological challenge. In 1983, Nobel laureate D. J. Thouless proposed ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

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Ever stared at a chart and thought: “There’s gotta be some logic in this chaos”? You’re not alone. Traders have hunted for patterns in price movements since markets began. And one pattern, drawn from ...

Google has stepped in to address a security flaw that could have made it possible to brute-force an account's recovery phone number, potentially exposing them to privacy and security risks. The issue, ...

Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...

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Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. This work investigates the integration of Fibonacci patterns and Golden Ratio ...

President Donald Trump took to social media Saturday afternoon to declare "The Invasion of our Country is OVER" after his first full month in office, which saw only 8,326 apprehensions of illegal ...

JavaScript is the most-used programming language, according to JetBrains’ State of Developer Ecosystem Report 2024. But the languages with the most promising growth prospects are TypeScript, Rust, and ...