On Wigner’s little groups and scale transformations

1982 ◽  
Vol 35 (10) ◽  
pp. 305-308 ◽  
Author(s):  
V. Hussin
Keyword(s):  
Scale Transformations ◽  
Wigner’S Little Groups

Approximation of sums by compound Poisson distributions with respect to stop-loss distances

1990 ◽  
Vol 22 (2) ◽  
pp. 350-374 ◽  
Author(s):  
S. T. Rachev ◽  
L. Rüschendorf
Keyword(s):  
Random Variables ◽  
Independent Random Variables ◽  
Compound Poisson ◽  
Poisson Distributions ◽  
Stop Loss ◽  
Scale Transformations

The approximation of sums of independent random variables by compound Poisson distributions with respect to stop-loss distances is investigated. These distances are motivated by risk-theoretic considerations. In contrast to the usual construction of approximating compound Poisson distributions, the method suggested in this paper is to fit several moments. For two moments, this can be achieved by scale transformations. It is shown that the new approximations are more stable and improve the usual approximations by accompanying laws in examples where the probability 1 – pi that the ith summand is zero is not too large.

Scale transformations in phase space and stretched states of a harmonic oscillator

2017 ◽  
Vol 192 (1) ◽  
pp. 1080-1096 ◽  
Author(s):  
V. A. Andreev ◽  
D. M. Davidović ◽  
L. D. Davidović ◽  
Milena D. Davidović ◽  
Miloš D. Davidović
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Scale Transformations

scholarly journals Information and methodological support of activities in the field of continuing library education

Bibliosphere ◽  
2018 ◽  
pp. 39-47
Author(s):  
E. B. Artemyeva ◽  
I. G. Lakizo
Keyword(s):  
Education System ◽  
Large Scale ◽  
Educational Process ◽  
Educational Institutions ◽  
Supplementary Education ◽  
Library Education ◽  
Specialized Institutions ◽  
Russian Education ◽  
Scale Transformations ◽  
Different Levels

Both the library education system and Russian education system as a whole undergo a period of large-scale transformations: changing concepts and technologies; revising educational standards of higher and secondary vocational education; developing the system of additional vocational training; forming the electronic educational environment in the practice of teaching students and listeners of the supplementary education system; searching ways for educational institutions and libraries joint development. It is advisable to create information and methodological support of activities in the field of continuous library education in such conditions. The database «Library Education Institutions» generated by SPSTL SB RAS is regarded to be a base of the unified information-educational space in the field of continuous library education, which information should be used to support the educational process of specialized institutions of all levels of education training and forms in the country. It represents the system of library education in the form of a hierarchy of different levels of education, a network of specialized educational institutions in the regions, different types of educational institutions, standard and individual educational curricula, etc. The database main objectives are the following: cumulating information; searching educational institutions, programs; providing statistical information on issues related to education in Russia. A user can create a model of continuous library education in a specific region and organize the work of educational institutions and libraries to improve the librarian professionalism applying the information provided by the database «Library Education Institutions» according to a complex query.

Virial theorem and scale transformations

1979 ◽  
Vol 47 (10) ◽  
pp. 883-886 ◽  
Author(s):  
Peter Kleban
Keyword(s):  
Virial Theorem ◽  
Scale Transformations

Historical Research and Directions of French Royal Expansion in 16th — 17th Centuries

Istoriya ◽  
2021 ◽  
Vol 12 (7 (105)) ◽  
pp. 0
Author(s):  
Pavel Uvarov
Keyword(s):  
Seventeenth Century ◽  
Large Scale ◽  
Historical Research ◽  
Wars Of Religion ◽  
Unexpected Death ◽  
Future Developments ◽  
The Future ◽  
Archival Documents ◽  
The Creation ◽  
Scale Transformations

In the seventeenth century, the search for the “forgotten” rights of the king were an important aid in organizing French expansion, mainly in the eastern and northeastern directions. At the sovereign courts of Lorraine, Alsace and Franche-Comté “chambers of annexations” (chambres d’annexion) were created in 1680 to organize search for archival documents supporting royal claims to neighboring lands. The idea of creating special institutions engaged in the search for documents revealing the precedents of relations with other countries and forgotten rights, that French king had supposedly enjoyed in those parts, was expressed back during the reign of Henry II. In 1556, Raoul Spifame, a lawyer at the Paris Parliament, published a book consisting of fictitious royal decrees, of which many would be implemented in the future. Among other things he ordered, on behalf of the king, the creation of thirty chambers, each specializing in the search for documents in the “treasury of charters” relating to a particular province. He had determined the composition of these chambers, the procedure for work and the form of reporting, — all this in order to arm the king with knowledge of his forgotten rights and the content of antique treaties and agreements. The nomenclature of “provincial chambers” is especially interesting, from the Chambers of Scotland and England to the Chamber of Tunisia and Africa, as well as the Chamber of Portugal and the New Lands. Much more attention was attracted by those lands to which a century later the French expansion would be directed: Franche-Comté, Artois and Flanders, Lorraine, the Duchy of Cleves. But more than half of chambers specialized in the Italian lands. This is not surprising, since in the 1550s France was entering the climax of the Italian Wars. Under Henry II (1547—1559) one of the four secretaries of state, Jean du Thier, was the person responsible for the southwestern direction of French policy. There is reason to believe that Spifame was associated with du Thier or with other members of the king’s “reform headquarters”. The large-scale transformations already at work were interrupted by the unexpected death of Henry II and the subsequent Wars of Religion. But continuity was inherent in the “spirit of the laws” of the Ancien Régime, so Spifame was able to predict future developments, including the creation of “chambers of annexation”.

scholarly journals About Statistical Analysis of Qualitative Survey Data

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Stefan Loehnert
Keyword(s):  
Data Aggregation ◽  
Qualitative Data ◽  
Correlation Coefficients ◽  
Model Specification ◽  
Data Sets ◽  
Statistical Methodology ◽  
Qualitative Survey ◽  
Reliability Check ◽  
Scale Transformations

Gathered data is frequently not in a numerical form allowing immediate appliance of the quantitative mathematical-statistical methods. In this paper are some basic aspects examining how quantitative-based statistical methodology can be utilized in the analysis of qualitative data sets. The transformation of qualitative data into numeric values is considered as the entrance point to quantitative analysis. Concurrently related publications and impacts of scale transformations are discussed. Subsequently, it is shown how correlation coefficients are usable in conjunction with data aggregation constrains to construct relationship modelling matrices. For illustration, a case study is referenced at which ordinal type ordered qualitative survey answers are allocated to process defining procedures as aggregation levels. Finally options about measuring the adherence of the gathered empirical data to such kind of derived aggregation models are introduced and a statistically based reliability check approach to evaluate the reliability of the chosen model specification is outlined.

scholarly journals SCALE TRANSFORMATIONS ON THE NONCOMMUTATIVE PLANE AND THE SEIBERG–WITTEN MAP

2005 ◽  
Vol 20 (25) ◽  
pp. 5871-5890 ◽  
Author(s):  
A. PINZUL ◽  
A. STERN
Keyword(s):  
Star Product ◽  
Field Theories ◽  
Gauge Fields ◽  
Gauge Transformations ◽  
Commutation Relations ◽  
Defining Relations ◽  
Scale Transformations ◽  
Noncommutative Plane ◽  
Noncommutative Parameter

We write down three kinds of scale transformations (i)–(iii) on the noncommutative plane. Transformation (i) is the analogue of standard dilations on the plane, transformation (ii) is a rescaling of the noncommutative parameter θ, and transformation (iii) is a combination of the previous two, whereby the defining relations for the noncommutative plane are preserved. The action of the three transformations is defined on gauge fields evaluated at fixed coordinates and θ. The transformations are obtained only up to terms which transform covariantly under gauge transformations. We give possible constraints on these terms. We show how the transformations (i) and (ii) depend on the choice of star product, and show the relation of (ii) to Seiberg–Witten transformations. Because transformation (iii) preserves the fundamental commutation relations it is a symmetry of the algebra. One has the possibility of implementing it as a symmetry of the dynamics, as well, in noncommutative field theories where θ is not fixed.

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