The hidden math of ocean waves

In 2011, Deconinck and Oliveras simulated different perturbations of high and moderate intensity and observed what happened to the stomatal waves. As they expected, due to the disturbance above a certain frequency, the waves persisted.
But as these fools continued to drive the frequency, they began to see destruction again. At first, Oliveras worries that there is a glitch in the computer system. “Part of me was like, this can’t be right,” she said. “But the more I drank, the more persistent it became.”
In fact, as the frequency of interruptions increased, a different pattern emerged. First there was a period of relaxation of the waves when the waves became unstable. This was followed by a period of strength, which was followed by another period of insecurity, and so on.
Deconinn and Oliveras published their discovery as a counter-sign: that this island structure of systems is designed for infinity. They called all unstable times “isole”—the Italian word for “Islands.”
It was amazing. The couple had no explanation as to why the abilities would appear again, let alone how many times. At the very least they wanted proof that their surprise observation was the right thing to do.
Photo: courtesy of Katie Oliveras
For years, no one can make progress. Then, at the 2019 workshop meeting, Deconinck approaches Maspero and his team. He knew that they had a lot of experience studying wavenible time calculations in quantum physics. Maybe they can find a way to prove that these amazing trends come from euler’s equations.
The Italian team acted quickly. They start with a very low set of frequencies that seem to cause the waves to die out. First, they use techniques from physics to represent each of these positions that are often done as an art, or matrix, 16 numbers. These numbers indicate how volatility will increase and distort stop waves over time. Mathematicians realized that if one of the Matrix values remained constant, the instability would not grow, and the waves would live on. If the value was right, hypocrisy would increase and eventually destroy the waves.
To show that this number was optimistic about the first attack on resources, mathematicians had to add up a large sum. It took 45 pages and almost a year to solve it. Once they have done that, they turn their attention to several high-interruption wave-killers – the isole.
First, they find a general formula – another complex sum – that will give them the number they need for each Isola. Then they use a computer program to solve the formula for the first 21 soles. (After that, the calculations became too complicated for the computer to handle.) The numbers were all wrong, as expected – and they seemed to follow a simple pattern that was perfect for every other isole.




