Point calculus. Historical background and basic definitions

2020 ◽  
Author(s):  
Ivan Balyuba ◽  
Evgeniy Konopatskiy
Keyword(s):  
Coordinate System ◽  
Topological Structure ◽  
Affine Space ◽  
Historical Background ◽  
Global Coordinate System ◽  
Mathematical Apparatus ◽  
History Of

The paper describes the history of the origin and formation the mathematical apparatus «Point calculus», as one of the scientific directions of the Melitopol school of applied geometry. A brief description of point calculus as a mathematical device that operates within an arithmetic, coordinate affine space, equipped with a topological structure. The basic definitions of point calculus are presented, including point parameters and point equations, space simplex and global coordinate system, independent and current points.

Shoulder Joint Motion Analysis of Daily Living Activities Using a Global Coordinate System

2013 ◽  
Vol 50 (10) ◽  
pp. 840-844
Author(s):  
Yukiya INOUE ◽  
Mayumi KIHARA ◽  
Junko YOSHIMURA ◽  
Naoki YOSHIDA ◽  
Kenji MATSUMOTO ◽  
...  
Keyword(s):  
Coordinate System ◽  
Motion Analysis ◽  
Shoulder Joint ◽  
Daily Living ◽  
Global Coordinate System ◽  
Joint Motion ◽  
Daily Living Activities

Technique for relation global reference system and local realization of global reference system by continuously operated reference stations

2020 ◽  
Vol 962 (8) ◽  
pp. 24-37
Author(s):  
V.E. Tereshchenko
Keyword(s):  
Coordinate System ◽  
Russian Federation ◽  
Reference System ◽  
Main Part ◽  
Precise Point Positioning ◽  
Global Coordinate System ◽  
Coordinate Systems ◽  
Novosibirsk Region ◽  
The Russian Federation

The article suggests a technique for relation global kinematic reference system and local static realization of global reference system by regional continuously operated reference stations (CORS) network. On the example of regional CORS network located in the Novosibirsk Region (CORS NSO) the relation parameters of the global reference system WGS-84 and its local static realization by CORS NSO network at the epoch of fixing stations coordinates in catalog are calculated. With the realization of this technique, the main parameters to be determined are the speed of displacement one system center relativly to another and the speeds of rotation the coordinate axes of one system relatively to another, since the time evolution of most stations in the Russian Federation is not currently provided. The article shows the scale factor for relation determination of coordinate systems is not always necessary to consider. The technique described in the article also allows detecting the errors in determining the coordinates of CORS network in global coordinate system and compensate for them. A systematic error of determining and fixing the CORS NSO coordinates in global coordinate system was detected. It is noted that the main part of the error falls on the altitude component and reaches 12 cm. The proposed technique creates conditions for practical use of the advanced method Precise Point Positioning (PPP) in some regions of the Russian Federation. Also the technique will ensure consistent PPP method results with the results of the most commonly used in the Russian Federation other post-processing methods of high-precision positioning.

Consistent co-rotational framework for Euler-Bernoulli and Timoshenko beam-column elements under distributed member loads

2021 ◽  
pp. 136943322098663
Author(s):  
Yi-Qun Tang ◽  
Wen-Feng Chen ◽  
Yao-Peng Liu ◽  
Siu-Lai Chan
Keyword(s):  
Coordinate System ◽  
Stiffness Matrix ◽  
Traditional Method ◽  
Local Coordinate System ◽  
Frame Structures ◽  
Global Coordinate System ◽  
Single Element ◽  
Geometrically Nonlinear ◽  
Geometrically Nonlinear Analysis ◽  
Geometric Stiffness

Conventional co-rotational formulations for geometrically nonlinear analysis are based on the assumption that the finite element is only subjected to nodal loads and as a result, they are not accurate for the elements under distributed member loads. The magnitude and direction of member loads are treated as constant in the global coordinate system, but they are essentially varying in the local coordinate system for the element undergoing a large rigid body rotation, leading to the change of nodal moments at element ends. Thus, there is a need to improve the co-rotational formulations to allow for the effect. This paper proposes a new consistent co-rotational formulation for both Euler-Bernoulli and Timoshenko two-dimensional beam-column elements subjected to distributed member loads. It is found that the equivalent nodal moments are affected by the element geometric change and consequently contribute to a part of geometric stiffness matrix. From this study, the results of both eigenvalue buckling and second-order direct analyses will be significantly improved. Several examples are used to verify the proposed formulation with comparison of the traditional method, which demonstrate the accuracy and reliability of the proposed method in buckling analysis of frame structures under distributed member loads using a single element per member.

scholarly journals Silent Accord: Qi 契 as a Metaphor for Enlightenment and Transmission in Chan Buddhist Discourse

Religions ◽  
2021 ◽  
Vol 12 (4) ◽  
pp. 279
Author(s):  
Aleksi Järvelä ◽  
Tero Tähtinen
Keyword(s):  
Song Dynasty ◽  
Tang Dynasty ◽  
Historical Background ◽  
The Song Dynasty ◽  
History Of

In this paper, we explore the historical background and the semantic underpinnings of a central, if marginally treated, metaphor of enlightenment and transmission in Chan discourse, “silent accord” 默契. It features centrally in Essentials of the Transmission of Mind 傳心法要, a text that gathers the teachings of Chan master Huangbo Xiyun (d. ca. 850), a major Tang dynasty figure. “Silent accord” is related to the concept of mind-to-mind transmission, which lies at the very core of Chan Buddhist self-understanding. However, Chan historiography has shown that this self-understanding was partially a product of the Song dynasty lineage records, historically retroactive syncretic constructs produced by monks and literati as efforts towards doctrinal and political recognition and orthodoxy. There are thus lacunae in the history of Chan thought opened up by the retrospective fictions of Song dynasty, and a lack of reliable, dateable documents from the preceding Tang dynasty era, possibly fraught with later additions. We situate the metaphor “silent accord” in the history of Chan thought by searching for its origins, mapping its functions in Chan literature, arguing for its influence and thereby its role in helping to bridge the 9th century gap.

scholarly journals The Danger of Analogical Myths: Explaining the Power and Consequences of the Sykes-Picot Delusion

AJIL Unbound ◽  
2016 ◽  
Vol 110 ◽  
pp. 132-136 ◽  
Author(s):  
Toby Dodge
Keyword(s):  
United States ◽  
Middle East ◽  
The United States ◽  
Historical Background ◽  
Minor Role ◽  
Historical Significance ◽  
Historical Analogy ◽  
History Of ◽  
Political Units ◽  
Postcolonial States

Even before its hundredth year anniversary on 16 May 2016, the Sykes-Picot agreement had become a widely cited historical analogy both in the region itself and in Europe and the United States. In the Middle East, it is frequently deployed as an infamous example of European imperial betrayal and Western attempts more generally to keep the region divided, in conflict, and easy to dominate. In Europe and the United States, however, its role as a historical analogy is more complex—a shorthand for understanding the Middle East as irrevocably divided into mutually hostile sects and clans, destined to be mired in conflict until another external intervention imposes a new, more authentic, set of political units on the region to replace the postcolonial states left in the wake of WWI. What is notable about both these uses of the Sykes-Picot agreement is that they fundamentally misread, and thus overstate, its historical significance. The agreement reached by the British diplomat Mark Sykes and his French counterpart, François Georges-Picot, in May 1916, quickly became irrelevant as the realities on the ground in the Middle East, U.S. intervention into the war, a resurgent Turkey and the comparative weakness of the French and British states transformed international relations at the end of the First World War. Against this historical background, explaining the contemporary power of the narrative surrounding the use of the Sykes-Picot agreement becomes more intellectually interesting than its minor role in the history of European imperial interventions in the Middle East.

scholarly journals History of sports medicine in east European countries

2015 ◽  
Vol 68 (1-2) ◽  
pp. 59-65
Author(s):  
Biljana Lazovic ◽  
Sanja Mazic ◽  
Marina Djelic ◽  
Jelena Suzic-Lazic ◽  
Radmila Sparic ◽  
...  
Keyword(s):  
Sports Medicine ◽  
Medical Knowledge ◽  
European Countries ◽  
Historical Background ◽  
Eastern European ◽  
Cultural Changes ◽  
East European ◽  
Psychological Pressure ◽  
History Of ◽  
Eastern European Countries

The purpose of this article is to provide a historical background of medicine, science and sports with the focus on the development of modern sports medicine in European countries, with an accent on Eastern European countries that have a long sports medicine tradition. The development of modern sports medicine began at the end of 19th and the beginning of 20th century, and it has been associated with social and cultural changes in the world of medicine, science and sports. Advanced medical knowledge, skills and practices, and the progress of scientific achievements enabled sports people to improve their performance level. Increased popularisation and commercialisation of sports have resulted from urbanization and city lifestyle, leading to the lack of physical activity and increased psychological pressure. In addition, the growing need and interest in sports and successes in professional sports have become a symbol of international recognition and prestige for the nations.

Kultūrvēstures aspekti Jāņa Čakstes vācu valodā sarakstītajā apcerējumā „Die Letten und Ihre Latwija” (1917), tā tulkošanas un izdevumu vēsture latviski („Latvieši un viņu Latvija”, 1989/1990–2019)

2021 ◽  
pp. 155-162
Author(s):  
Ivars Orehovs
Keyword(s):  
Public Opinion ◽  
Historical Background ◽  
The Political ◽  
Historical Aspects ◽  
Economic Relations ◽  
The Public ◽  
30Th Anniversary ◽  
History Of Writing ◽  
History Of

On May 4, 2020, the 30th anniversary of the restoration of Latvia’s national independence was celebrated, and the 160th anniversary since the birth of the first President of Latvia, Jānis Čakste (1859–1927), was remembered on September 14, 2019. In 1917, even before the establishment of the Latvian state, Čakste published a longer essay in German, entitled „The Latvians and Their Latvia” (Die Letten und ihre Latwija), in which both the ethnic and geopolitical history of the Baltics was presented to communicate the public opinion and strivings of that time internationally. The essay also reflected economic relations in the predominantly Latvian-inhabited territory, demonstrating the political convictions and the culture-historical background of the era. The article aims to characterise the history of writing and publishing the essay in German, and its translation into Latvian (1989/90), and the translation’s editions (1999, 2009, 2014, 2019). Part of the article is devoted to analysing the culture-historical aspects, which in the authorial narrative have been expressed in the interethnic environment of the territory and the era.

Sources for the History of the Jews of Majorca

Traditio ◽  
1995 ◽  
Vol 50 ◽  
pp. 334-341
Author(s):  
J. N. Hillgarth
Keyword(s):  
Jewish Community ◽  
Middle Ages ◽  
Historical Background ◽  
Detailed History ◽  
Preliminary Work ◽  
History Of ◽  
The Subject

In my view it will not be possible to write the detailed history of the Jewish community in Majorca until a great deal more preliminary work has been done on the sources for that history. The following sketch of the subject is limited to the period before 1500, and, except for some references to conversos, to the time before 1391. It seems best to begin with a brief discussion of the context within which the Jewish community of Majorca emerged in the later Middle Ages and of the historical background which gave it its peculiar importance.

scholarly journals Argentine Concordat as an International Agreement Regulating the Law of Patronage

2020 ◽  
Vol 25 (1) ◽  
pp. 89-109
Author(s):  
Marta Zuzanna Osuchowska
Keyword(s):  
Social Sciences ◽  
Historical Background ◽  
International Agreement ◽  
Holy See ◽  
Bilateral Relations ◽  
Legal Method ◽  
History Of ◽  
The Subject ◽  
The 1960S ◽  
The Right

In the history of relations between the Argentinean government and the Holy See, two ideas are permanently intertwined: signing the Concordat and defending national patronage. The changes that occurred in the 1960s indicated that exercising the right of patronage, based on the principles outlined in the Constitution, was impossible, and the peaceful establishment of the principles of bilateral relations could only be indicated through an international agreement. The Concordat signed by Argentina in 1966 removed the national patronage, but the changes to the content of the Constitution were introduced only in 1994. The aim of the study is to show the concordat agreement concluded in 1966 by Argentina with the Holy See as an example of an international agreement. The main focus is the presentation of concordat standards for the institution of patronage. Due to the subject and purpose of the study, the work uses methods typical of social sciences in the legal science discipline. The dogmatic-legal method is the basis for consideration of the Concordat as a source of Argentine law, and as an auxiliary method, the historical-legal method was used to show the historical background of the presented issue.

Sign in / Sign up

Export Citation Format

Share Document