scholarly journals Toolset for Supporting the Research of Lattice Based Number Expansions

2021 ◽  
Vol 25 (2) ◽  
pp. 271-284
Author(s):  
Péter Hudoba ◽  
Attila Kovács
Keyword(s):  
Computer Experiments ◽  
Number System ◽  
Periodic Points ◽  
Theoretical Research ◽  
System Property ◽  
Signature Operator ◽  
Number Systems ◽  
The World ◽  
Operator Eigenvalues

The world of generalized number systems contains many challenging areas. Computer experiments often support the theoretical research. In this paper we introduce a toolset that helps to analyze some properties of lattice based number expansions. The toolset is able to (1) analyze the expansions, (2) decide the number system property, (3) classify and visualize the periodic points. The toolset is implemented in Python, published alongside with a database that stores plenty of special expansions, and is able to store the custom properties like signature, operator eigenvalues, etc. Researchers can connect to the server and request/upload data, or perform experiments on them. We present an introductory usage of the toolset and detail some results that has been observed by the toolset. The toolset can be downloaded from http://numsys.info domain.

Amazing Rainforests

2015 ◽  
Vol 21 (6) ◽  
pp. 334-335
Author(s):  
Lisa Englard
Keyword(s):  
Number System ◽  
Place Value ◽  
Number Systems ◽  
Decimal Number ◽  
The World

Exploring the rainforests of the world provides an opportunity to discover an amazing feature of our number system, place value. A revolutionary development in number systems, place value allows us to express and compute very large and very small numbers efficiently. The problems presented this month offer an opportunity for students to think about base-ten units, flexible bundling and unbundling, and the positional notation that forms the foundation of our base-ten decimal number system.

Experience of Canada, The United Kingdom, Finland and Spain for formation of media literacy among the students

2020 ◽  
Vol 28 (2) ◽  
Author(s):  
Zlatina Dimitrova ◽  
◽  
◽  
Keyword(s):  
United Kingdom ◽  
Media Literacy ◽  
Media Education ◽  
Theoretical Research ◽  
School Age Children ◽  
Educational Models ◽  
The United Kingdom ◽  
The World ◽  
The Media ◽  
Media Habits

The theoretical research focuses on the educational experience for the formation of media literacy among school-age children in different countries around the world. The article presents various options for the formation of media literacy, based on three educational models. According to the first model, media education is represented in the form of a compulsory subject in schools, which is studied by students in different grades. According to the second educational model, media habits are acquired within the interdisciplinary (integrated) approach – the use of the media in traditional school subjects, including native and foreign languages, literature, social sciences. The third model offers practical and informal integration of media education as a supplement and replacement of specific subjects or the intersection between them. The article examines in detail the media training opportunities offered in Canada, the United Kingdom, Finland and Spain, as their experience in media education is applied in a number of other countries around the world. Special attention is paid to the first steps in the introduction of media literacy training among students in Bulgaria, which is carried out only in the last 5-6 years.

Inverse number in dagaare

2021 ◽  
pp. 444-462
Author(s):  
Scott Grimm
Keyword(s):  
Number System ◽  
Formal Semantic ◽  
Semantic Classification ◽  
Lexical Semantic ◽  
Semantic Account ◽  
Number Systems ◽  
System P ◽  
Functional Grounding

This chapter examines the inverse number system in Dagaare (Gur; Niger–Congo). Inverse number systems possess a number morpheme which for some nouns encodes the plural interpretation while for others it encodes the singular interpretation. This chapter argues that a principled lexical semantic classification underlies the inverse number strategy in Dagaare, guiding whether for a particular noun the inverse morpheme codes the singular or the plural interpretation. The chapter further explores the functional grounding of inverse number, in terms of frequency and individuation, and presents a formal semantic account of the inverse number system.

City E-Government

2011 ◽  
Vol 7 (1) ◽  
pp. 38-50 ◽  
Author(s):  
Hanuv Jit Singh Mann ◽  
Gerald Grant ◽  
Inder Mann
Keyword(s):  
Web Sites ◽  
Service Provision ◽  
Theoretical Research ◽  
Government Program ◽  
Common Features ◽  
The World

In this paper, the authors identify and explore the optimal scope of a generic city-level e-Government program. In order to corroborate theoretical research, a comprehensive feature comparison of different e-Government elements/services, of select city web sites from various countries in the world is conducted.The research finds that despite the manifest common features, the inherent scope of service provision by the websites studied is unique. This finding gives rise to the understanding that customizing e-Government initiatives is ideally conducive to the local needs of the constituents.

scholarly journals EXPERIMENTAL AND THEORETICAL RESEARCH OF DEFORMATION OF VERTICALLY LOADED DISPLACEMENT PILES IN SAND SOIL / SPRAUSTINIŲ POLIŲ, APKRAUTŲ VERTIKALIOSIOMIS GNIUŽDYMO APKROVOMIS, SMĖLINIO PAGRINDO NUOSĖDŽIŲ TEORINIS IR EKSPERIMENTINIS TYRIMAS

2014 ◽  
Vol 6 (5) ◽  
pp. 493-498
Author(s):  
Tautvydas Statkus ◽  
Vaidas Martinkus
Keyword(s):  
Western Europe ◽  
Ground Surface ◽  
Full Scale ◽  
Theoretical Research ◽  
Sand Soil ◽  
Glacial Origin ◽  
Local Experience ◽  
The World ◽  
Single Piles

The displacement piles are one of the oldest type of foundation not just in Lithuania, but also all over the world. Stiff, glacial origin sands lay not far from the ground surface in Lithuania as opposed to the rest of the Western Europe, therefore this kind of foundation is carried out into practice very often in our country. For geotechnical engineers it is very hard to decide which method should be applied, when there is no local experience. Five approaches are discussed on this paper and the results of three single piles’ tests are compared. The full scale single piles’ tests were carried out at the artificial bearing stratum pit. Piles’ diameter was 330 mm. The ratio of the piles’ depth and diameter were 3.3, 4.4 and 4.8. In conclusion of this paper the recommendations are given, which should be applied in different cases using mentioned above methods. Spraustiniai poliai yra vienas seniausių ir efektyviausių pamatų tipų Lietuvoje ir visame pasaulyje. Lietuvoje, skirtingai negu vakarų Europoje, stiprūs ledyninės kilmės smėliniai gruntai slūgso netoli žemės paviršiaus, dėl to mūsų šalyje dažnai įrenginėjami trumpi poliai, kurių gylis ne didesnis kaip penki polio skersmenys. Geotechnikams projektuojant tokio tipo polius sunku pasirinkti tinkamą metodą neturint vietinės patirties. Šiame straipsnyje analizuojami penki polio pagrindo nuosėdžių prognozavimo metodai, o jais apskaičiuoti nuosėdžiai lyginami su trijų statinės apkrovos polių bandymų rezultatais. Bandymai atlikti dirbtinio pagrindo duobėje, naudojant realių matmenų metalinius 330 mm skersmens polius. Poliai bandyti esant tokiems gylio ir skersmens santykiams 3,3, 4,4 ir 4,8. Straipsnio išvadose nurodomi metodai, tiksliausiai atitikę eksperi­mentų rezultatus.

A Historical Reconstruction of Our Number System

1991 ◽  
Vol 38 (7) ◽  
pp. 46-48
Author(s):  
Kim Krusen
Keyword(s):  
Sixth Grade ◽  
Number System ◽  
General Knowledge ◽  
Mathematics Students ◽  
Historical Reconstruction ◽  
Number Systems ◽  
Large Numbers ◽  
Primitive Society ◽  
Humanistic Approach ◽  
Ancient Civilizations

Imagine your class as a “primitive society” just on the brink of civilization. Your society has been using tally sticks to represent numerical quantities. But now that your society is becoming more involved in commerce with other societies, you need an easier way to represent large numbers and some structure so that numbers can be manipulated. You need an organized number system. Creating a number system from scratch was the recent task of my sixth-grade class. My objective was to offer a more humanistic approach for my students further to understand and appreciate the structure of our number system. As the teacher. I was armed with a general knowledge of the number systems of the great ancient civilizations, and my students were armed with an enthusiasm to be cave dwellers for the day instead of mathematics students. With these resources, we began our project.

Unique Identification: Inclusion and surveillance in the Indian biometric assemblage

2012 ◽  
Vol 43 (5) ◽  
pp. 457-474 ◽  
Author(s):  
Elida K. U. Jacobsen
Keyword(s):  
Homeless People ◽  
Number System ◽  
Financial Inclusion ◽  
Biometric Identification ◽  
Biometric Technology ◽  
Security Governance ◽  
Technology Project ◽  
Massive Growth ◽  
The World ◽  
Multiple Actors

The last decade has seen an increased focus on secured forms of identification in security governance, leading to a massive growth and standardization in the application of biometric technologies globally. This article examines what is currently the largest biometric technology project in the world: the nationwide Unique Identification (UID) number system in India. It emphasizes the importance of investigating the postcolonial contexts of governance in which biometric technology is currently being applied. Approaching the Indian scheme as a discursive/practical assemblage of multiple actors and rationales, the article investigates three contexts within which the biometric project emerged: India’s Home Ministry, the Unique Identification Authority of India and a project focusing on the biometric identification of homeless people in Delhi. In particular, the article examines the various targets of intervention constructed in the discourses and practices of the national ID scheme. It is argued that the practice of biometric identification is produced as a solution to a wide array of problems of governance, both as a means of financial inclusion and as a method of surveillance.

Counting in Tongan: The Traditional Number Systems and Their Cognitive Implications

2007 ◽  
Vol 7 (3-4) ◽  
pp. 213-239 ◽  
Author(s):  
Andrea Bender ◽  
Sieghard Beller
Keyword(s):  
Cultural Context ◽  
Mental Arithmetic ◽  
Cognitive Task ◽  
General System ◽  
Number System ◽  
General Concept ◽  
Special Role ◽  
Number Systems ◽  
Role Based ◽  
Specific Number

AbstractIs the application of more than one number system in a particular culture necessarily an indication of not having abstracted a general concept of number? Does this mean that specific number systems for certain objects are cognitively deficient? The opposite is the case with the traditional number systems in Tongan, where a consistent decimal system is supplemented by diverging systems for certain objects, in which 20 seems to play a special role. Based on an analysis of their linguistic, historical and cultural context, we will show that the supplementary systems did not precede the general system, but were rather derived from it. Especially when notation is lacking, having such supplementary systems can even yield cognitive advantages. In using larger counting units, they both abbreviate counting and expand the limits of the general system, thus facilitating the cognitive task of mental arithmetic.

scholarly journals High-Performance RNS Modular Exponentiation by Sum-Residue Reduction

2020 ◽  
Author(s):  
Tao Wu
Keyword(s):  
High Performance ◽  
Computer Arithmetic ◽  
Number System ◽  
Residue Number System ◽  
Modular Exponentiation ◽  
Number Systems ◽  
Diffie Hellman ◽  
Residue Number ◽  
Diffie Hellman Key Exchange ◽  
Rsa Cryptography

Abstract Modular exponentiation is fundamental in computer arithmetic and is widely applied in cryptography such as ElGamal cryptography, Diffie-Hellman key exchange protocol, and RSA cryptography. Implementation of modular exponentiation in residue number system leads to high parallelism in computation, and has been applied in many hardware architectures. While most RNS based architectures utilizes RNS Montgomery algorithm with two residue number systems, the recent modular multiplication algorithm with sum-residues performs modular reduction in only one residue number system with about the same parallelism. In this work, it is shown that high-performance modular exponentiation and RSA cryptography can be implemented in RNS. Both the algorithm and architecture are improved to achieve high performance with extra area overheads, where a 1024-bit modular exponentiation can be completed in 0.567 ms in Xilinx XC6VLX195t-3 platform, costing 26,489 slices, 87,357 LUTs, 363 dedicated multipilers of $18\times 18$ bits, and 65 Block RAMs.

scholarly journals DESIGN TRENDS IN CHILDREN'S BOOK ILLUSTRATION - AN EXAMPLE OF LATGALIAN ABC DESIGN

2021 ◽  
Vol 4 ◽  
pp. 705-715
Author(s):  
Ieva Širiņa ◽  
Aina Strode
Keyword(s):  
Graphic Design ◽  
Supply And Demand ◽  
Theoretical Research ◽  
Creative Potential ◽  
Interactive Communication ◽  
Book Illustration ◽  
Children's Book ◽  
Internet Resources ◽  
The World ◽  
Book Illustrations

Children's book illustrations have always been an area that allows artists to make the most of their creative potential. Modern design trends for children's books are changing both in the world and in Latvia. The most relevant of these are minimalism and color purity, simplicity and quality. Research also highlights the choice of illustration and font style in favor of retro style and handwriting. Picture books on the topics of kindness and love are popular in terms of content. Activity books are useful for interactive communication. The aim of the article is to develop the concept of graphic design of the ABC of Latgalian language by studying design trends in children's book illustration and the supply and demand of children's Latgalian literature in Latvia. Research methods: theoretical - research and analysis of literature and Internet resources, empirical - questionnaire, analysis of analogues.

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