On the Notion of Effective Impedance for Finite and Infinite Networks

Muranova A. On the Notion of Effective Impedance for Finite and Infinite Networks. Bielefeld: Universität Bielefeld; 2020.We consider two approaches to an effective impedance of an AC network. In the first one, we consider it as a complex-valued function of complex parameter. In the second one, we consider an effective impedance as an element of the ordered field of rational functions with real coefficients

Eigenvalues of the normalized complex Laplacian for finite electrical networks

The spectrum of the normalized complex Laplacian for electrical networks is analyzed. We show that eigenvalues lie in a larger region compared to the case of the real Laplacian. We show the existence of eigenvalues with negative real part and absolute value greater than $2$. An estimate from below for the first non-vanishing eigenvalue in modulus is provided. We supplement the estimates with examples, showing sharpness

Power iteration for matrices with power series entries

We prove the method of power iteration for matrices with at most finite entries from the Levi-Civita field $\mathcal C$ under the assumption that there exists an eigenvalue with the strictly largest in absolute value complex part. In this case the weak convergence of a start vector to the eigenvector, that corresponds to the largest eigenvalue, is proven. Further, we prove that the Rayleigh quotient of the largest eigenvector also converges weakly to the corresponding eigenvalue. As a corollary, the same holds for matrices and polynomials over the Puiseux series field. In addition to that, we deliver an implementation of our method in Python.Comment: 22 pages, 2 figure

Theory-Constitutive Metaphors, Similes, and Scientists' Narratives About Their Travel and/or Research Experience in Popular Science Articles: Examining Linguistic and Rhetorical Features

Among popular science publications, the most common type is the Popular Science Article (PSA). The main purpose of PSAs is to convey the necessary scientific content in the form accessible to non-specialists. They also contain the authors' personal evaluations, opinions and interpretations of the things related to their subject. This dissertation project is aimed at investigating the use of theory-constitutive metaphors, similes and scientists' narratives about their travel/research experience in the text of PSAs magazines intended for different categories of non-specialist audiences. Its results show that introducing these linguistic and rhetorical devices into the texts of PSAs may help their authors make communication between specialists and lay readers more effective. For example, the use of metaphors and similes which serve to link an unknown phenomenon or concept to a more familiar one by comparing them allows the authors of PSAs to make complex concepts graspable, simple, and thus comprehensible for the general public. At the same time, including the narratives about scientists' travel and/or research experience in the texts of PSAs allows their authors to balance their dual goals of reporting objective and accurate factual and scientific information, on the one hand, and conveying the researchers' and the authors' personal evaluations and opinions, on the other hand. Including additional clues (evaluative adjectives, lexical intensifiers and mitigating devices, etc.) in the similes and narratives employed in PSAs enable their authors to convey the necessary scientific content in a vivid and engaging way. It also follows from the findings that the use of these devices in the text of PSAs is characterized by certain common and varying features. This refers to the frequency and ways of using theory-constitutive metaphor and simile in the text of PSAs as well as the communicative and pragmatic purposes of scientists' narratives about their travel/research experience. Variations observed in the use of the above-mentioned linguistic and rhetorical means point to the fact that the subject of the articles, their target audience and specific purposes of the magazine where they are published need to be regarded as the contextual factors affecting their use in the text of PSAs

Оцінка фінансових результатів діяльності Російської венчурної компанії: українська методика аналізу

The paper presents a general characteristic of the Russian Venture Company and evaluates its financial results in 2017-2018 according to the financial statements using the latest achievements of the Ukrainian methodology of financial analysis, with IFRS taken into accountВ статті надається загальна характеристика Російській венчурній компанії, оцінюються фінансові результати її діяльності за 2017 -2018 рр. за даними фінансового звіту із застосуванням останніх досягнень української методики фінансового аналізу з урахуванням МСФ

Загальна оцінка господарських ресурсів Російської венчурної компанії за даними балансу: українська методика аналізу

The paper presents a general description o f the economic resources o f theRussian Venture Company for 2018 according to the balance sheet data using the latestachievements o f the Ukrainian methodology offinancial analysis.В статті надається загальна характеристика господарських ресурсів Російської венчурної компанії за 2018 р. за даними бухгалтерського балансу із застосуванням останніх досягнень української методики фінансового аналізу

Загальна оцінка джерел фінансування Російської венчурної компанії заданими балансу: українська методика аналізу

The article evaluates the sources of financing of the Russian Venture Company based on the balance sheet data based on the latest achievements of the Ukrainian method of financial analysis.В статі оцінюються джерела фінансування Російської венчурної компанії за даними балансу на основі останніх досягнень української методики фінансового аналізу