### Abstract

Original language | English |
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Title of host publication | Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI |

Pages | 2603—2606 |

Publication status | Published - 2010 |

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*Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI*(pp. 2603—2606)

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*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.

Research output

TY - CHAP

T1 - Symptom and syndrome analysis of categorial series, logical principles and forms of logic.

AU - Alexeyeva, Nina

AU - Alexeyev, Andrey

AU - Gracheva, Polina

AU - Podkhalyuzina, Ekaterina

AU - Usevich, Konstantin

PY - 2010

Y1 - 2010

N2 - 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.

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.

M3 - Article in an anthology

SN - 978-1-4244-6495-1

SP - 2603—2606

BT - Proceedings, 3rd International Conference on BioMedical Engineering and Informatics BMEI

ER -