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Mathematics is the only language spoken by all living things. This way of understanding the world practically explains everything known so far, and its infinitude means that, very occasionally, new resolutions come to light that open many doors in mathematics
Recently, news has come to light that could change everything as far as mathematical study is concerned. A resolution to a problem that, until now, was unknown.
Norman Wildberger, through his work in 'The American Mathematican Montly', has found a new treatment for those high order polynomials. This has to do with moving away from irrational numbers.
Norman Wildberger: "I don't believe in irrational numbers"
According to the mathematician's theory, one way to accept high-order polynomials is to carry out formulations without taking irrational numbers into .
These irrational numbers exist by explaining an approximation to a number that "would require an infinite amount of work and a hard drive larger than the universe", as the mathematician states.
That is why Wildberger advocates another trend, which is what he has called "power series", which are polynomial variants that have infinite within the powers that x can have.
The result of the experiment was described as "worked wonderfully." This was carried out by using a famous equation dating from the 17th century and used by Wallis in order to demonstrate Newton's theory.
To avoid these high exponents, Norman Wildberger and Dean Rubine resort to a geometric and combinatorial structure based on subdivisions of polygons: the so-called subdigons.
The reality is that this new way of acting, would better explain, more than the answer itself, the conception that in mathematics is held of the term "solving an equation".
All of this is related to Catalan numbers. The steps in the equation are explained by a combinatorial constant multiplied by a power of an auxiliary variable. By adding up all these , one obtains a representation of the much more flexible solution, so that there is no need to calculate infinite decimals or accept irrationals, but only to add up as far as necessary to achieve the desired accuracy.