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 ...

In a series of terse, unsigned orders, the court has often been giving the green light to President Trump’s agenda without a murmur of explanation. By Adam Liptak Reporting from Washington In clearing ...

Note: Goods from Canada and Mexico that fall under the U.S.M.C.A. trade pact — the agreement that replaced NAFTA — are not subject to tariffs that took effect in March targeting those countries. By ...

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 ...

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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Payments-focused cryptocurrency XRP is down but not out, whereas the outlook for dogecoin (DOGE) appears grim, based on an analysis of Fibonacci retracement levels. XRP reached a peak of $3.40 in ...

A Fibonacci spiral showing the Golden Ratio (Photo: Altitudevs/Dreamstime) The Fibonacci sequence reveals a hidden order in nature, art, and even the human body, and it is intimately connected to the ...

Fibonacci retracement is a popular tool in technical analysis used by traders to identify potential reversal levels and support or resistance points in the price movement of assets. Based on the ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Abstract: In this article, we have examined the propagation of acoustic waves at normal incidence in a quasi-periodic 1D Fibonacci-type structure in comparison with a periodic system. This waveguide ...