Symptom and syndrome analysis of categorial series, logical principles and forms of logic.

Nina Alexeyeva, Andrey Alexeyev, Polina Gracheva, Ekaterina Podkhalyuzina, Konstantin Usevich

Research output

2 Citations (Scopus)

Abstract

The calculation of variables of one metering type by the variables of others metering types as the process leads to the forms of logic which are described by means of the collineation group of the projective geometry. Missing metering types are replaced with the appropriate logic principles. The logic of sufficiency (preferences) on the basis of orders and the logic principle of duality is considered in detail on an RNA connectivity analysis example. The minimal sum of diagonal elements in the cross-tabulation of two finitely-linear combinations (symptoms) of fragments which differ by a shift on the given quantity of symbols is chosen as a relation between two dichotomizing series. If this relation is zero then correct classification takes place. In this paper the probability of random classification with given number of errors is estimated. Logic principle of duality allows to distinguish between weak and strong statistically significant relations.
Original languageEnglish
Title of host publicationProceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI
Pages2603—2606
Publication statusPublished - 2010

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RNA
connectivity
geometry
analysis
calculation

Cite this

Alexeyeva, N., Alexeyev, A., Gracheva, P., Podkhalyuzina, E., & Usevich, K. (2010). Symptom and syndrome analysis of categorial series, logical principles and forms of logic. In Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI (pp. 2603—2606)
Alexeyeva, Nina ; Alexeyev, Andrey ; Gracheva, Polina ; Podkhalyuzina, Ekaterina ; Usevich, Konstantin. / Symptom and syndrome analysis of categorial series, logical principles and forms of logic. Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI. 2010. pp. 2603—2606
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Alexeyeva, N, Alexeyev, A, Gracheva, P, Podkhalyuzina, E & Usevich, K 2010, Symptom and syndrome analysis of categorial series, logical principles and forms of logic. in Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI. pp. 2603—2606.

Symptom and syndrome analysis of categorial series, logical principles and forms of logic. / Alexeyeva, Nina; Alexeyev, Andrey; Gracheva, Polina; Podkhalyuzina, Ekaterina; Usevich, Konstantin.

Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI. 2010. p. 2603—2606.

Research output

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AU - Podkhalyuzina, Ekaterina

AU - Usevich, Konstantin

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AB - The calculation of variables of one metering type by the variables of others metering types as the process leads to the forms of logic which are described by means of the collineation group of the projective geometry. Missing metering types are replaced with the appropriate logic principles. The logic of sufficiency (preferences) on the basis of orders and the logic principle of duality is considered in detail on an RNA connectivity analysis example. The minimal sum of diagonal elements in the cross-tabulation of two finitely-linear combinations (symptoms) of fragments which differ by a shift on the given quantity of symbols is chosen as a relation between two dichotomizing series. If this relation is zero then correct classification takes place. In this paper the probability of random classification with given number of errors is estimated. Logic principle of duality allows to distinguish between weak and strong statistically significant relations.

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SN - 978-1-4244-6495-1

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Alexeyeva N, Alexeyev A, Gracheva P, Podkhalyuzina E, Usevich K. Symptom and syndrome analysis of categorial series, logical principles and forms of logic. In Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI. 2010. p. 2603—2606