This study extends Thouless pumping from periodic to quasi-periodic driving, uncovering the intrinsic link between ...

For Fibonacci numbers and the golden ratio, you can find one practical answer in search algorithms. It's fairly common to have to find the maximum or minimum of a mathematical function f (x) between ...

Vivek, Manoj Kumar, H. M. Srivastava, Suyash Narayan Mishra, Efficient numerical algorithm for solving the Benjamin-Bona-Mahony partial differential equation using Fibonacci wavelets and advanced ...

The Fibonacci sequence is a series of numbers in which each number is the sum of the two that precede it. Starting at 0 and 1, the first 10 numbers of the sequence look like this: 0, 1, 1, 2, 3, 5 ...

Though the Fibonacci sequence shows up everywhere in nature, these young mathematicians were surprised to find it in the answer to a variation of the pick-up sticks problem⁠—a nearly two-century-old f ...

In terms of math, the sequence isn't too hard to get your head around. In short, each number is the sum of the two numbers that preceded it. So 0+1 = 1, 1+1 = 2, 2+1 =3, 3+5 = 8, 5+8 = 13, 8+13 ...