Mathematical language for operations with infinity
47-year-old professor of Nizhny Novgorod State University named after NI Lobachevsky, Doctor of Physical and Mathematical Sciences Yaroslav Sergeev received the International Pythagorean Award, which is considered one of the most prestigious awards in mathematics.
The Pythagorean Prize was awarded for work related to parallel and sequential methods for solving global optimization problems, as well as for developing new arithmetic that allows you to perform calculations with infinitely large and infinitely small quantities.
The basis of the design Sergeyev is gross unit (grossone). A gross unit is an infinite number equal, by definition, to the number of elements in the set N of natural numbers. Denoted by symbol
. Thus, the set of natural numbers can be expanded as follows.
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For more information about the mathematical language developed by Sergeyev, see the article in Computerra (18.09.2007).
“There is such a tribe in the Amazon - Pirah. The numbers they use are 1, 2 and "many." That is, 2 + 2 is already a lot. This is very similar to how we talk about infinity. Infinity + 1 = Infinity. The same thing, although Pirah live on a primitive level, and we are launching satellites into orbit, ”this is the example given by Sergeyev in an interview with the newspaper“ New Nizhny ”.
New mathematical language, new arithmetic allows you to record infinitely small and infinitely large numbers. “It is interesting that this new language allows, on the one hand, to simplify, and on the other - to strengthen the mathematical analysis that we learn in school. The discoveries are fundamental and will allow solving problems and equations that could not be solved before, ”the UNN press service reported .
In his work on this topic, the scientist used a new type of computer, patented by him in Russia, the European Union and the United States. “The patent describes an arithmetic logic unit of a new type for working with infinitely large and infinitely small numbers and a memory device, allows you to store infinitely large numbers in the computer’s finite memory, this can be either a software simulator or a ready-made device.”
“Now we have a software“ simulator ”and we are looking for investments to move this business forward,” says Sergeyev.
The Pythagorean Prize was awarded for work related to parallel and sequential methods for solving global optimization problems, as well as for developing new arithmetic that allows you to perform calculations with infinitely large and infinitely small quantities.
The basis of the design Sergeyev is gross unit (grossone). A gross unit is an infinite number equal, by definition, to the number of elements in the set N of natural numbers. Denoted by symbol
. Thus, the set of natural numbers can be expanded as follows.')
For more information about the mathematical language developed by Sergeyev, see the article in Computerra (18.09.2007).
“There is such a tribe in the Amazon - Pirah. The numbers they use are 1, 2 and "many." That is, 2 + 2 is already a lot. This is very similar to how we talk about infinity. Infinity + 1 = Infinity. The same thing, although Pirah live on a primitive level, and we are launching satellites into orbit, ”this is the example given by Sergeyev in an interview with the newspaper“ New Nizhny ”.
New mathematical language, new arithmetic allows you to record infinitely small and infinitely large numbers. “It is interesting that this new language allows, on the one hand, to simplify, and on the other - to strengthen the mathematical analysis that we learn in school. The discoveries are fundamental and will allow solving problems and equations that could not be solved before, ”the UNN press service reported .
In his work on this topic, the scientist used a new type of computer, patented by him in Russia, the European Union and the United States. “The patent describes an arithmetic logic unit of a new type for working with infinitely large and infinitely small numbers and a memory device, allows you to store infinitely large numbers in the computer’s finite memory, this can be either a software simulator or a ready-made device.”
“Now we have a software“ simulator ”and we are looking for investments to move this business forward,” says Sergeyev.
Source: https://habr.com/ru/post/107766/
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