scholarly journals Fantasy at the Service of Mathematics

2021 ◽  
Vol 11 (2) ◽  
pp. 359-373
Author(s):  
Clara Ziskin ◽  
Esther Williams ◽  
Alla Shmukler
Keyword(s):  

This article aims to introduce the reader to a book published in 2016 under the title “Amazing Tales from the Magic Wood and Famous Problems of Mathematics” by Elli Shor and Clara Ziskin. The book offers an original method of presenting mathematical facts and history through a fantasy narrative. The book’s two authors, Clara Ziskin and Alla Shmukler (Elli Shor), together with consultant psychologist Esther Williams, share here several excerpts taken from the first part of the book as well as related illustrations and mathematical riddles, so that the reader can form an informed impression of the book, its structure, and its nature.

Swiss Surgery ◽  
2003 ◽  
Vol 9 (6) ◽  
pp. 289-295 ◽  
Author(s):  
Haecker ◽  
Bielek ◽  
von Schweinitz

Purpose: Minimally invasive repair of pectus excavatum (MIRPE) was first reported in 1998 by D. Nuss. This technique has gained wide acceptance during the last 4-5 years. In the meantime, some modifications of the technique have been introduced by different authors. Our retrospective study reports our own experience over the last 36 months and modifications introduced due to a number of complications. Methods: From 3/2000 to 3/2003, 22 patients underwent MIRPE. Patients median age was 15.5 years (10.7 to 20.3 years). Standardised preoperative evaluation included 3D computerised tomography (CT) scan, pulmonary function tests, cardiac evaluation with electrocardiogram and echocardiography, and photo documentation. Indications for operation included at least two of the following: Haller CT index > 3.2, restrictive lung disease, cardiac compression, progression of the deformity and severe psychological alterations. Results: In 22 patients (2 girls, 20 boys) undergoing MIRPE procedure, a single bar was used in 21 patients and two bars in one boy. Lateral stabilisers were fixed with non resorbable sutures on both sides. Overall, postoperative complications occurred in six patients (27.3%). In two patients (9.1%) a redo-procedure was necessary due to bar displacement. An additional median skin incision was performed in two patients to elevate the sternum. Pneumothorax or hematothorax in two patients resulted in routine use of a chest tube on both sides. Long-term favourable results were noted in all patients. Conclusions: The MIRPE procedure is an effective method with elegant cosmetic results. Modifications of the original method help to decrease the complication rate and to accelerate acquirement of expertise.


1974 ◽  
Vol 31 (02) ◽  
pp. 273-278
Author(s):  
Kenneth K Wu ◽  
John C Hoak ◽  
Robert W Barnes ◽  
Stuart L Frankel

SummaryIn order to evaluate its daily variability and reliability, impedance phlebography was performed daily or on alternate days on 61 patients with deep vein thrombosis, of whom 47 also had 125I-fibrinogen uptake tests and 22 had radiographic venography. The results showed that impedance phlebography was highly variable and poorly reliable. False positive results were noted in 8 limbs (18%) and false negative results in 3 limbs (7%). Despite its being simple, rapid and noninvasive, its clinical usefulness is doubtful when performed according to the original method.


1997 ◽  
Vol 78 (05) ◽  
pp. 1360-1365 ◽  
Author(s):  
G Freyburger ◽  
S Javorschi ◽  
S Labrouche ◽  
P Bernard

SummaryThe aim of the present study was to evaluate the relative performance of five screening methods for APC resistance caused by the factor V:Q506 mutation: the original method Coatest® APC™ Resistance Chromogenix, a modified method using the same reagents but a predilution 1+4 of the plasma in a factor V deficient plasma from Stago (Stago deficient V) or from Chromogenix (V-DEF Plasma), the Coatest® APC™ Resistance V (Chromogenix), and Accelerimat™ from bioMérieux. Normalization was done against a pool of normal plasmas for the methods from Chromogenix. The study included 350 subjects, 219 were genotyped (174 FV:R506R, 42 FV:Q506R, 3 FV:Q506Q) and most of them were assessed by more than one method. Uncertainty in predicting the FV genotype was evaluated by statistical analysis, which provided a way to quantitate the performance of the different diagnostic approaches. Performance of each test was evaluated by its sensitivity, specificity, R.O.C. curves, positive and negative likelihood ratios (LR), and the overall performance was determined by two parameters derived from the LR curves : the maximum LR value obtained at the crossover of the two curves, and the distance between the two curves for LR = 10. Coatest® APC™ Resistance V and Accelerimat™ were proven to be the methods most able to discriminate for factor V:Q506, while normalization was not shown to improve the screening performance. The original method from Chromogenix was confirmed to undergo many influences (factor XII, PAI-1, thrombin- antithrombin complexes, antithrombin III, hematocrit). Although a very good improvement was provided by the newest methods, they were shown to be influenced by protein S and/or factor V levels in the sample plasma.


2020 ◽  
Vol 23 (8) ◽  
pp. 906-921
Author(s):  
R.A. Alborov ◽  
S.M. Kontsevaya ◽  
S.V. Kozmenkova

Subject. This article deals with the theory-and practice-relevant issues of classification and content definition of different types of capital used as sources of operations financing, and recommendations for developing their accounting in agricultural organizations. Objectives. The article aims to substantiate the organizational and methodological aspects of capital accounting development to generate information on value reserve and creation of value as new in the organization's integrated reporting. The article also aims to define the classification and content of capital types as sources of financing for the organization's activities and develop recommendations for developing the accounting of the availability, increase, reduction or transformation of the relevant types of capital in the organization's business activities. Methods. For the study, we used the methods of analysis and synthesis, induction and deduction, analogy, and comparison. The scientific works of domestic specialists and regulations, including the International Standard on Integrated Reporting (IR) are the methodological basis of this work. Results. The article defines conceptual provisions and offers practical recommendations on the set-up and development of capital flow accounting in the corporate governance system of the agricultural organization. It clarifies the classification and economic content of capital as a source of funding for the organization's reproduction activities. The article also offers an original method of accounting for the value reserve (balances) and capital changes. Conclusions and Relevance. The practical application of the developed recommendations for value accounting and capital changes will help generate all the necessary information in the integrated reporting of the agricultural organization to assess its reserves of value, create value as new, economic, environmental, and social efficiency of the organization's activities. The results of the study can be used to develop the theory, methodology and techniques of accounting of capital types as sources of financing of value creation as a result of the agricultural organization's business activities.


2018 ◽  
Vol 64 (4) ◽  
pp. 539-543
Author(s):  
Yuliya Vinogradova ◽  
Anastasiya Chumachenko ◽  
Nikolay Ilin

The 40-year experience of the department of radiotherapy for lymphoma of the «RRCRST named after. ac. A.M. Granov» of the Ministry of Health of Russia from the standpoint of today is discussed in the article. Modern methods of radiation treatment of Hodgkin's lymphoma at the stages of their sequential development, unique methods of local and total skin radio-therapy with electrons in skin lymphomas, the experience of radiotherapy in patients with lymphomas of various structures of the organ of vision, and the features of fractionation in radiotherapy for patients with plasma-cell tumors are considered. The department developed an original method of medium-dose total body radiotherapy in terms of the conditioning regime before allogeneic transplantation of hematopoietic stem cells for patients with leukemia and lymphomas, for the first time the experience of radiation therapy of patients with acute leukemia with local lesions of various organs and tissues was accumulated.


Author(s):  
V. V. Nefedev

For the definition and implementation of breakthrough technologies the most important is the role of scientific and technical forecasting. Well-known forecasting methods based on extrapolation, expert assessments and mathematical modeling are not universal and have a number of significant disadvantages. The article proposes an original method of scientific and technical forecasting based on the use of the methodology of artificial neural networks. 


Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1819
Author(s):  
Tiandong Shi ◽  
Deyun Zhong ◽  
Liguan Wang

The effect of geological modeling largely depends on the normal estimation results of geological sampling points. However, due to the sparse and uneven characteristics of geological sampling points, the results of normal estimation have great uncertainty. This paper proposes a geological modeling method based on the dynamic normal estimation of sparse point clouds. The improved method consists of three stages: (1) using an improved local plane fitting method to estimate the normals of the point clouds; (2) using an improved minimum spanning tree method to redirect the normals of the point clouds; (3) using an implicit function to construct a geological model. The innovation of this method is an iterative estimation of the point cloud normal. The geological engineer adjusts the normal direction of some point clouds according to the geological law, and then the method uses these correct point cloud normals as a reference to estimate the normals of all point clouds. By continuously repeating the iterative process, the normal estimation result will be more accurate. Experimental results show that compared with the original method, the improved method is more suitable for the normal estimation of sparse point clouds by adjusting normals, according to prior knowledge, dynamically.


2021 ◽  
Vol 13 (13) ◽  
pp. 6990
Author(s):  
Urszula Forczek-Brataniec

Krakow is a city of high landscape values, which has found confirmation in the entry onto the UNESCO heritage list. Its cultural landscape requires protection and clarification within the context of intensive tourist use and a rapid pace of urban spatial development. For preservation protection and restoration of landscape values, the city authorities undertook work on the creation of a Cultural Park in the Stradom and Kazimierz districts, providing a comprehensive, sustainable, and multidisciplinary approach to natural, cultural and visual values of the urban structure. The article presents the application of the method of research on visual values in order to protect individual scenic resources of the historical urban structure. It is one of the analytical studies of a comprehensive protection plan project. This project defines the scope, framework and methods of development and management of a Cultural Park. The task of the visual analysis was to identify, characterize and evaluate the visual resources. It created a visual framework for further development of the historical district while preserving its local spatial identity. The studies resulted in a division into zones according to their nature and intensity of activities as well as outlining protection zones and intervention zones adjusted to individual characteristics of those places. An original method combining achievements of the method of landscape and visual assessment (LVIA) as well as achievements of the Krakow School of Landscape Architecture (KSLA) in terms of cultural landscape assessment was used for the research. The applied method provided guidelines to support sustainable project decisions regarding further development of the district for the preservation of local spatial identity. Its universal character creates possibilities for its application into the plans of other Krakow districts and is intended to be applicable to both urban and rural structures.


Author(s):  
Derek Millard ◽  
Bradley M. Davis ◽  
Samineh C. Gillmore

This paper presents an original method to create optimized color differences between each step of a CIELAB perceptually uniform color gradient. The relevant equations for the necessary color space transformations are discussed, along with the procedure to determine and optimize the color differences between each gradient step. A specific implementation for perceptually uniform color gradients is discussed for safe terrain clearance in manned aviation during a degraded visual environment.


Electronics ◽  
2021 ◽  
Vol 10 (8) ◽  
pp. 949
Author(s):  
Tomasz Okon ◽  
Kazimierz Wilkosz

The paper deals with voltage profiles in a power system. The analysis of these profiles is important due to the requirement that the Root-Mean-Squared (RMS) values of nodal voltages should be within certain ranges, as well as to ensure desired power flows in a power system. In both cases, it is desirable to indicate points in a power system where it is reasonable to apply remedial measures to meet the requirements for RMS values of nodal voltages, or to effectively control the power flows in a power system. In general, candidate nodes for remediation are established based on operational experience or measurement data from a certain time point (sometimes from several time points). The paper presents a method that provides a basis for determining the aforementioned candidate nodes based on the behavior of a system over a certain period of time, which is an unquestionable advantage of this proposal. In order to achieve the abovementioned goal, the method provides for the analysis of propagation of voltage RMS value deviations in a power system. The analysis of correlational relationships between the RMS values of nodal voltages is used for this. After presentation of the theoretical background, the new original method is described in the paper. Then, case studies showing the utilization of that method are presented. At the end of the paper, features of the proposed method are enumerated.


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