scholarly journals The Stieltjes string and its associated nodal points

2019 ◽  
pp. 363-373
Author(s):  
Che-Wei Tsao ◽  
Chun-Kong Law
1996 ◽  
pp. 13-23
Author(s):  
Mykhailo Babiy

Political ideological pluralism, religious diversity are characteristic features of modern Ukrainian society. On the one hand, multiculturalism, socio-political, religious differentiation of the latter appear as important characteristics of its democracy, as a practical expression of freedom, on the other - as a factor that led to the deconsocialization of society, gave rise to "nodal points" of tension, confrontational processes, in particular, in political and religious spheres.


2017 ◽  
Vol 921 (3) ◽  
pp. 30-35
Author(s):  
N.G. Ivlieva ◽  
V.F. Manukhov

GIS are closely related to mathematical cartography, as they work with spatially coordinated data. Practical course in mathematical cartography should meet the requirements of time and include tasks involving the use of modern GIS technologies. The functionality of GIS packages allow you to easily create maps in a given map projection, draw graticules and measured grids, perform dimensions on maps. This article is devoted to the research of map projection properties on the basis of GIS technologies in a practical course of mathematical cartography. The focus is on visual way to display local and regional distortions on maps. To create lines of equal distortion should use special software tools that allow to build digital models of surface distortion distribution directly on formulas or be interpolated both discretely located nodal points and isolines.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.


2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Jian Yang ◽  
Chen Fang ◽  
Zheng-Xin Liu

2021 ◽  
Vol 103 (23) ◽  
Author(s):  
Rafael González-Hernández ◽  
Erick Tuiran ◽  
Bernardo Uribe

2021 ◽  
Vol 39 (28_suppl) ◽  
pp. 251-251
Author(s):  
Meghan Brooke Taylor ◽  
Meredith Ray ◽  
Nicholas Faris ◽  
Matthew Smeltzer ◽  
Carrie Fehnel ◽  
...  

251 Background: Lung cancer care is complex, but, for quality improvement, can be simplified into five ‘nodal points’: lesion detection, diagnostic biopsy, radiologic staging, invasive staging, and treatment. We previously demonstrated great heterogeneity in passage through these nodal points in patients who received surgical resection for lung cancer in our healthcare system. However, examining only surgical patients may underestimate the enormity of the opportunity for quality improvement. With the aim of identifying quality gaps in pre-treatment evaluation for lung cancer, we evaluated the flow of care through these nodal points within a community-based healthcare system. Methods: We classified lung cancer care procedures received by all suspected lung cancer patients treated within the Multidisciplinary Thoracic Oncology Program at Baptist Cancer Center, Memphis TN between 2014 and 2019, into five nodal points. We compared the frequency of, and time intervals between, nodal points among patients receiving surgical, nonsurgical (chemotherapy/radiation), or no definitive treatment, using Chi-square or Kruskal Wallis tests, where appropriate. Results: Of 1304 eligible patients: 11% had no pre-treatment diagnostic procedure, 20% no PET/CT, and 39% no invasive staging. 39% of patients underwent surgical resection, 51% received non-surgical treatment, and 10% received no treatment. Patients who had surgery were less likely than those who had non-surgical treatment to get a diagnostic test, radiologic staging, and invasive staging (Table). Patients who had non-surgical treatment were more likely to pass through all five nodal points (50% v 68%, p<0.0001). The median (IQR) duration from initial lesion identification to treatment (n=1126) was 77 days (45-190); 27 days (10-90) from lesion identification to diagnostic biopsy (n=1115); and 38 days (26-63) from diagnostic biopsy to treatment (n=1041). Patients who had surgery received less timely care than those who had non-surgical or no treatment: median 122 v 66 v 68 days from lesion identification to treatment; 40 v 21 v 29 days from lesion identification to diagnostic biopsy; 46 v 38 v 31 days from diagnostic biopsy to treatment (p<0.0001 all comparisons). Conclusions: Quality improvement initiatives within our healthcare system, such as the establishment of a coordinated multidisciplinary program, enhanced care quality over previous benchmarks. Despite improvements, lung cancer patients who had surgery received less frequent and less timely pre-treatment evaluation than those without surgery. Implementing a standardized cancer care pathway from diagnosis to surgery could help to reduce variations in optimal care delivery.[Table: see text]


Author(s):  
Gennadii Liubchik ◽  
◽  
Nataliia Fialko ◽  
Aboubakr Regragui ◽  
Nataliia Meranova ◽  
...  

The basic positions of the enthalpy-entropy methodology of thermodynamic modeling of processes in gas turbine units (GTUs) and combined power plants on basis GTUs are presented. The main requirements and conditions of this methodology are formulated, they allows the construction of a sequential (without iterations) algorithm for the computational diagnostics of the thermodynamic parameters of the GTU cycle, which includes the calculation blocks for the compressor, combustion chamber, turbine, and exhaust tube of the GTU. The obtained regression equations are presented. The use of these equations simplifies of the procedure for evaluating the thermodynamic parameters of the components at the nodal points of the cycle. The advantages of the proposed methodology in comparison with the traditional thermal-entropy methodology are indicated.


2018 ◽  
Vol 98 (20) ◽  
Author(s):  
Michael Buchhold ◽  
Sebastian Diehl ◽  
Alexander Altland
Keyword(s):  

2020 ◽  
Vol 21 (1) ◽  
pp. 58-65
Author(s):  
Ekaterina N. Esina ◽  
Vladislava V. Likhodeevskaya

The article is devoted to comparison of methods of calculating the approximate elevations of nodal points when adjusting leveling networks by strict and non-strict methods. Ensuring geomechanical monitoring of the mutual influence of constructed and operated objects is important in the intensive development of underground space of megacities, the construction of unique objects and structures. In the course of the research, mathematical models of level networks were developed and presented in the form of a closed loop and a set of open polygons. Analysis of modeling allows to determine the feasibility of applying the knot method by Professor V.V. Popov instead of the parametric method of adjustment. It is established that the quality of the results of strict equalization depends entirely on the quality of measurements, since deviations from the true values do not exceed the measurement error. The research has shown that it is possible to simplify the processing of monitoring data and evaluation of various configuration options for leveling networks, using algorithms for calculating approximate marks of nodal points. This makes it easier to process monitoring results and evaluate various network configuration options while ensuring the required level of measurement accuracy.


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