Learn About Maths Unsolved Mysteries

Learn About Maths Unsolved Mysteries Could You Help with Maths Problems yet to be Solved? ChaptersRiemann HypothesisThe Hodge ConjectureThe Birch/Swinnerton-Dyer ConjectureThe Navier-Stokes EquationsThe Yang Mills EquationsP=NPRamsey NumbersLychrel Numbers and PalindromesFrom when we started to study maths in primary school: learning how to count and calculate, we have known about the fundamentals of mathematics.In effect, for some people, maths â€" multiplication, fractions, and even statistics, allows them to better understand the world that we live in, studying it as a discipline and philosophy â€" not just to pass exams!From secondary school through to sixth form, we are presented with a series of mathematical concepts which are well studied and irrefutable: there are concrete solutions to each concept and problem given â€" a solution you are often examined on! It may be easy to believe that the logic behind mathematics poses no further questions, that no further research is needed…However, there are certain problems in mathematics that have never been solved, and e ven the greatest scientists and researchers haven’t been able to find their solutions.These puzzles relate to our understanding of some of the most profound concepts in mathematics, and define or challenge our knowledge of basic math facts.Perhaps you’ve undertaken your studies in maths only to better succeed in your academic career: passing exams, getting good coursework marks. However, could you be destined for greater things? You could be the first person to solve one of these mathematical mysteries!Finding a solution to one of these seven problems could bag you $1 million! Interested now?SuperProf is bringing you this list of unsolved mathematical problems, and we hope to one day read about you in the history books, having solved one (or more!) of them!It consists of a non-linear differential equation, and its peculiarity is the fact that the equation is frequently used, even though we haven’t yet found its solution!It’s used, amongst other things, to better understand t he movement of currents in the oceans.If you have some formidable mathematical or physics skills, proving the Navier-Stokes equation would give you the title of the 2nd person to solve one of the seven Clay Institute problems, and walk away a millionaire!Currently, only the Poincaré conjecture has been proven.The Yang Mills EquationsAnother physics based problem, the Yang Mills theories aim to tackle problems in our understanding of the fundamental forces of the universe.To explain these particles, Yang and Mills attempted to describe elemental particles by constructing a model based on geometric theories.Their theory, which says that certain quantum particles have a positive mass, has been verified by a number of computer simulations.Discovered by two physicists, the theory hasn’t been proven yet, and is still just an idea.P=NPThis puzzle is perhaps the most important of all.Essentially, the resolution of this problem would solve many other problems, while for as long as it rema ins unsolved, so do many other problems in the fields of maths and computing. Many computations done today are known as NP-hard problems, because they fall into this category.Solving this one will be a question of computation and maths! (Source: Markus Spiske, Unsplash)In P=NP, we call P the problem, where the solution is a group of elements from a given set.Closely linked to the functioning of computers and algorithms, we could sum this problem up as the following question:Can we determine, thanks to a calculation, what we can determine by luck?Could you answer this as yet unanswered question?Learn how to graph functions here.Ramsey NumbersThe Ramsey theorem is linked to order and to the models at the heart of various systems. According to this theory, true disorder cannot exist.To summarise: if we draw n points on a sheet of paper, so that each point is linked to all the other points by either a red or blue line, n must be equal to 6 in order to be certain that there will be at le ast one triangle that is either red or blue.Simply, we could ask what size our group must be for at least three of its members to be strangers, and three to have mutual connections. The answer to the problem is 6.However, if we change the number 3 by 4, the problem is impossible to solve. Or at least, no mathematician up until today has succeeded.Could you come up with the right formula?Lychrel Numbers and PalindromesIn order to understand the Lychrel numbers, you must first know the definition of a palindrome.Palindromes can take the form of a number or words that, when read left-to-right, or right-to-left, read the same.17371 is an example of a palindrome number, as it reads the same whether or not you start on the left or right.When we repeatedly add a number with its inverse and the result doesn’t form a palindrome, it’s known as a Lychrel number.59 isn’t a Lychrel number because…59 + 95 = 154 154 + 451 = 605 605 + 506 = 1111Effectively, we’ve ended up with another pal indrome.The smallest number for which we’ve not found a palindrome is 196, and this is exactly what impassions each mathematics researcher: not knowing exactly how to solve the problem... yet!Even after more than 12 million repeated additions (thanks to the help of automation, of course!), we haven’t found a palindrome for the number 196!Are you ready to pursue this kind of research?Before trying to solve problems linked to algebra, geometry and physics, you must adopt a rigorous mathematical approach and immerse yourself in the scientific universe!Throughout your school career, up to GCSEs, A levels, and degree level, you improve your memory and intellectual skills thanks to mathematics, and perhaps a home tutor could help you progress further?Thanks to a private tutor’s personalised method of teaching, unique to you, you could improve your problem solving and analytical skills! And one day, perhaps you could solve one of these problems!