Category: Maths

A mathematical demonstration without words

Prime numbers have always been the attraction of mathematicians. Marin Mersenne was intrigued by those who had the form 2 p -1, with p being a prime number. The numbers resulting from that operation are obviously odd, but the funny thing is that many of them are also cousins. Those who have that form are called Mersenne's prime numbers.
The mathematical principle that underlies the way in which pedestrians cross a zebra crossing
The mathematical principle that underlies the way in which pedestrians cross a zebra crossing
One of the most popular places in Japan is the Shibuya crossing in front of the Shibuya Station in Tokyo, famous for being the busiest crossing in the world. So it is not strange that it was precisely a team of mathematicians from the University of Tokyo who described the mathematical principle by which pedestrians cross the zebra crossings.
This is the largest Klein bottle there is
This is the largest Klein bottle there is
First described in 1882 by Felix Klein, the vessel that bears his name is closed, has no edge and has only one "side" (that is, it does not have a clearly differentiated interior and exterior). The largest in the world is exhibited at the Kingbridge Center in Toronto, Canada, and is owned by John Abele, the person who commissioned it.
The third math problem of the Millennium Prize could have been solved
The third math problem of the Millennium Prize could have been solved
The problems of the Millennium Prize were declared by the Clay Mathematics Institute on May 24, 2000. The problems are The Problem P versus NP, The Riemann Conjecture, The Yang-Mills Theory, The Navier-Stokes Equations, The Conjecture from Birch and Swinnerton-Dyer, The Hodge Conjecture and The Poincaré Conjecture.
How many binary numbers can you memorize in one minute?
How many binary numbers can you memorize in one minute?
The binary system, in computer science, is a numbering system in which numbers are represented using only two figures: zero and one (0 and 1). It is one of the systems that computers are used because they work internally with two voltage levels. Memorizing binary numbers is particularly difficult.
The largest prime number is discovered and has more than 23 million digits
The largest prime number is discovered and has more than 23 million digits
With almost one million digits more than the previous record holder, the new largest prime number has more than 23 million digits. Known simply as M77232917, the figure is reached by calculating two with the power of 77,232,917 and subtracting one, leaving a colossal string of 23,249,425 digits.
The zero is 500 years older than previously thought, according to this manuscript
The zero is 500 years older than previously thought, according to this manuscript
The old Indian manuscript of Bakhshali, text contains the oldest record of the number zero, dates from the third or fourth century, according to the latest radiocarbon dating. That is, the number zero is 500 years older than what was established. The number zero Zero, as a concept, has been present in culture since ancient times.
How to always win the match game
How to always win the match game
The rules of the match game are very simple: a certain number of them are extended in a row and each of the two players must choose in turn to withdraw one, two or three. The player who removes the last match loses. (Of course, the game can also be played with chopsticks or any other object).
The shortest road in a city is important even to go to jail
The shortest road in a city is important even to go to jail
We all have some basic notions of how to get as quickly as possible from one place to another walked by a normal city. In the first place, if we must cross a square we will do it diagonally, instead of crossing the sides. Secondly, if we must save an apple full of houses, then we have no choice but to travel the sides, unless we are some kind of superhero.
We solve a mathematical problem but we need 10,000 million years to read it
We solve a mathematical problem but we need 10,000 million years to read it
The Boolean problem of Pythagorean veins, stated 35 years ago, has been solved by a Stampede supercomputer from the University of Texas. However, the solution is so extensive that it requires 200 terabytes, equivalent to all the digitized texts held by the Library of Congress, thus becoming the largest mathematical test ever produced.
The importance of chance in our lives
The importance of chance in our lives
When we talk about chance we should not confuse the concept with uniformity. Although it seems that chance should be uniform, it really isn't. If we look at the photo from the top, which one would say that it is due to chance and which one to a distribution of living organisms? The diagram on the left has data agglomerations that are really expected by chance.
When you play the lottery knowing that you will win
When you play the lottery knowing that you will win
Imagine for a moment the next betting game. There are 5 numbers and each number you buy is worth 1 euro. If you get the prize it's 20 euros. If it doesn't touch you, you lose the euro. Being 5 numbers, one of them touches safe. What would you do? Easy: buy all the numbers. You will have spent 5 euros, but the prize of 20 euros you will take, which is a safe bet.
The birthday paradox
The birthday paradox
Sometimes, intuition fails in matters of probability, and the birthday paradox is one of them. Actually, it is not a paradox, but simply a mathematical certainty that contradicts intuition. If we wanted to gather a series of people in a room and surely have two people who turned years old on the same day (we can see leap years and twins) quickly, we would say 366; Well, if I have 365 people, it is possible that none match.
Don't panic: the improbability of being right in the Brussels airport bombing
Don't panic: the improbability of being right in the Brussels airport bombing
This morning we woke up to the terrible news of the terrorist attack at the Brussels airport. Personally, I received many messages of concern because it was only 24 hours ago that I was at that airport waiting for my flight back to Spain. And I was several hours due to an eternal delay.
The Nobel Prize in mathematics for proving Fermat's last theorem
The Nobel Prize in mathematics for proving Fermat's last theorem
The impressive demonstration of Fermat's last theorem has earned British mathematician Andrew Wiles the 2016 Abel Prize, considered the Nobel Prize in mathematics, and which is endowed with 600,000 euros. The problem had been without solution since 1637, when the mathematician Pierre Fermat posed the problem, reading in 1637 a copy of Arithmetica of Diofanto of Alexandria, in which the Pythagorean theorem was discussed.
Can you guess an aptitude test by simple chiripa?
Can you guess an aptitude test by simple chiripa?
American high school students undergo a hard standardized test called the SAT (Scholarship Aptitude Test) that can mark the rest of their future, as it determines access to the university. It was first introduced in 1926. The current SAT, introduced in 2005, has a duration of 3 hours and 45 minutes.
Do you find the problem of mathematics to access the University of Scotland very difficult?
Do you find the problem of mathematics to access the University of Scotland very difficult?
The Scottish Qualifications Authority (SQA) math entrance exam has been criticized these days because it is believed to be too difficult. Especially a particular problem that speaks of a crocodile and a zebra. You can read the problem statement below, and try to solve it.
Traces of pheromones of ants and mathematics
Traces of pheromones of ants and mathematics
A team of mathematicians, after analyzing the trajectories of a kind of Argentine ant and the traces of pheromones that it leaves, have suggested that by exploring their territory in search of food, the ants end up choosing collective routes that fit statistical functions and of probability, as you can see in the video that heads the post.
Accidents and anumerismo: is the impact of an airplane accident justifiable?
Accidents and anumerismo: is the impact of an airplane accident justifiable?
I will confess it publicly: I have an irrational fear of going by plane. And I love airplanes, but I can't help it. And it doesn't make sense either. Not long ago we had news of the Germanwings accident in the Alps which, more than an accident, was sabotage. All the passengers who went there died.
What is the probability that you find your better half?
What is the probability that you find your better half?
The search for a better half is an entelechy promoted by the most naive and naive romantic culture, although telecommunications technology will probably favor us finding much more compatible couples than we now find in our daily lives, the so-called 1.0. Without imagining future geolocated social networks looking for people by infinitesimal parameters that intersect with us in order to whistle at Cupid, what is the probability that we would run into our better half (if that concept may exist)?
Why do we use X as unknown in math problems?
Why do we use X as unknown in math problems?
The map with an X that marks the location of a pirate treasure is a myth with no historical foundation, an invention of novelists like Robert Louis Stevenson or Edgar Allan Poe. However, the X has always been associated with the mystery, the unknown, the unknown. Especially in the field of mathematics.