Swiss researchers have claimed to have calculated the mathematical constant pi to a new world record of accuracy, reaching 62.8 trillion decimal places using a supercomputer.
Paleontologists at the University of Utah investigated the evolution of internal partitions in ammonite shells. Mathematicians and engineers at the University of Utah obtained quasicrystals using ultrasound sources.
Imagine that you are participating in a TV show, and there are three doors in front of you. Behind one of them is a brand—new car, behind the other two - nothing, well, or a goat. The presenter, who knows where the prize is, suggests that you first choose (but not open) any door, then opens one of the two remaining ones, behind which there is definitely emptiness, and suggests changing your initial choice. What will you do? According to most people, including mathematicians, the answer is counterintuitive, but probability theory works flawlessly. Now let's explain why.
One very gifted scientist once tried to solve this simplest logical problem and failed. More precisely, he managed to prove that there is no solution and simultaneously discover a mathematical sequence, which he named, of course, in his honor. That scientist was Leonhard Euler, and his sequence is called Eulerian cycles. However, after more than two centuries, the problem was still solved. And if you have not understood anything written, then we recommend reading this material.
We often like to scold school problems, they say, the conditions in them are sometimes so absurd and absurd that it is completely confusing. And instead of starting to make a decision after reading the conditions, we spend time criticizing. Popular mechanics has picked up for you a bearded problem from basic mathematics, in which everything is in order with the condition. Even for high school humanities students, it takes a few minutes to solve it, and how long will it take you?
Even the simplest questions can seriously puzzle: especially those who have long forgotten about textbooks and notebooks.
This year, the most popular and best-selling toy in the world has an anniversary. The invention of the Hungarian architect appeared on the shelves of toy stores back in 1980 and since then has been exciting the minds of young and old, from housewives to professors. Erne Rubik's cube is assembled at speed by people and robots, supercomputers are looking for the fastest way to assemble, and mathematicians are trying to unravel all the secrets hidden inside a seemingly simple toy. That's because even though the inner parts of the cube are made of plastic, its real guts are the real numbers.
Do you think the great Albert Einstein could have left at least one problem unsolved? That's right — I couldn't. Nevertheless, there is one seemingly simple logical riddle that made the great scientist scratch his brains thoroughly. And if you are sure that you have the right solution in your hands — do not rush. Think about it, read the condition, count it again. And only then you can safely claim the title of someone who turned out to be smarter than Einstein.
The accuracy of diagnostics in modern clinics with the use of artificial intelligence can become much more effective.
Statistics are a thing without emotions, solid mathematics. There are boring formulas for calculating the probability, for example, that you will live to 75, and then to 85, or that lightning will hit you this year and you will stay alive. Moreover, these theoretical values are supported by quite real life stories, which adds significance to them, and gray hair to us.