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Number of results: 9
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Abstract

The paper presents general solutions for fractional state-space equations. The analysis of the fractional electrical circuit in the transient state is described by the equation of the state and space equations. The results are presented for the voltage of a capacitor and current in a coil, for different alpha values. The Caputo and conformable fractional derivative definitions have been considered. At the end, the results have been obtained.
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Abstract

W 1900 roku, na II międzynarodowym kongresie matematyków, wybitny matematyk niemiecki David Hilbert, ogłaszając listę 23 ważnych problemów do rozwiązania, snuł wizję matematyki jako nauki uniwersalnej, pewnej i oczywistej, która rozwiąże każdy problem. Była to odpowiedź uczonego na III kryzys podstaw matematyki. Rodzi się jednak pytanie o to, czy ocena ta odnosi się do matematyki dzisiejszej. Celem mojego artykułu jest nawiązanie do badań tzw. klasycznych kierunków filozofii matematyki (formalizm, intuicjonizm, logicyzm), zwrócenie uwagi na znaczenie twierdzeń K. Gödla dla rozwoju filozofii matematyki oraz na powstanie nowych nurtów (kierunek kulturowy, quasi-empiryzm, społeczny konstruktywizm, etnomatematyka), nadto uwzględnienie tendencji zachodzących w najnowszej nauce i filozofii matematyki, jak i wskazanie na niektóre cele i zadania stojące przed „nową filozofią matematyki”.
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Abstract

An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations. The paper used the definition of the integral derivative Caputo and CDF conformable fractional definition. An electrical circuit solution using Caputo and CDF defini- tions for rectangular with zero initial conditions was developed. The results obtained using the Caputo and CDF definitions were compared. The solutions are shown for capacitor voltages, for fractional derivative orders of 0.6, 0.8, 1. The results were compared using graphs.
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Abstract

Th e forearm is a body region of numerous anatomical variations. Due to its favorable anatomy fl exor digitorum superfi cialis muscle (FDS) is commonly used in tendon transfer surgeries. In this study a unique combination of abnormalities was found in a single forearm: the fl exor digitorum superfi cialis muscle penetrated by the median nerve, one of the fl exor digitorum superfi cialis tendons early division and absence of the palmaris longus muscle. Described variation potentially may lead to the clinical manifestation of the median nerve compression and should be also considered during FDS surgery.
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Abstract

The main goal of this study was to investigate possible residua of thymic tissue in 100 adult cadavers with no thoracic pathology known before, by dissection of standard locations of thymic tissue in perithyroid, periaortic, peritracheal and retrotracheal spaces, as well as areas located next to the course of phrenic, vagus and left recurrent laryngeal nerves. Thus obtained tissue samples were studied by two pathologists independently. The remnants of the thymic tissue were found in 61 out of 100 specimens studied. It means that residua of ectopic thymic tissue is common, which may have a huge impact on the results of treatment of many diseases i.e. myasthenia gravis in course of thymoma.
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