Vestnik КRAUNC. Fiz.-Mat. nauki. 2023. vol. 43. no. 2. P. 31-43. ISSN 2079-6641

Research Article
Full text in Russian
MSC 97F60

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On the Possibility of Placing Two System Blocks and Two Computational Formulas in Space

V. L. Shcherban’^\ast

Center for Additional Mathematical Education, 640000, Kurgan, Tomina str. 53, Russia

Abstract. The algorithm for finding a solution to each task, see the title of the article, implies its discreteness of
relationships from the total of its possible parts. Or exactly, the algorithm must be divided into some sequence of
arithmetic operations to be implemented. The existing measurement theory, which is interpreted in particular as
a theory of ways to encode real numbers, provides an answer to these listed problems. Using this theory, a real
algorithm is found for placing all existing primitive numerical sequences in space in the form of arithmetic tables.
Additional research by coding the special properties of recurrent numerical series led to the establishment of two
computational formulas for finding all prime numbers. Then to the system blocks, which in essence do not differ from formulas. In applied arithmetic, this is the ability to place such computational objects in three-dimensional space. For the computer implementation of the set computational tasks, those rules of real and arithmetic operations are determined, which must take place for tables. The method of constructing real-arithmetic tables is not universal, but it makes it possible to obtain its further development in the subsystem of numerical irregular triangles.

Key words: three-dimensional space, recurrent (recurrent) numerical sequences, prime numbers, Pascal’s triangle

Received: 03.04.2023; Revised: 12.04.2023; Accepted: 16.04.2023; First online: 30.06.2023

For citation. Shcherban’ V. L. On the possibility of placing two system blocks and two computational formulas in space. Vestnik KRAUNC. Fiz.-mat. nauki. 2023, 43: 2, 31-43. EDN: XGIBMG .–31-43.

Funding. The work was carried out without the support of funds.

Competing interests. There are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. The author participated in the writing of the article and is fully responsible for
submitting the final version of the article to the press.

^\astCorrespondence: E-mail:

The content is published under the terms of the Creative Commons Attribution 4.0 International License

© Shcherban’ V. L., 2023

© Institute of Cosmophysical Research and Radio Wave Propagation, 2023 (original layout, design, compilation)


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Information about author

Scherban’ Victor Leonidovich – Head of the educational Department, Center for Additional Mathematical Education, Kurgan, Russia, ORCID 0000-0002-5631-9681.