scholarly journals Global Dimensional Mathematics

Author(s):  
Olivier Denis

Here we build the fundamentals of global dimensional mathematics in order to build the new basis of the new theoretical scientific paradigm. Research on the foundations of mathematics covering the definition of fundamental mathematical concepts such as point, line, direction, dimension, addition, multiplication, division, zeros, infinities, limits, factorization, integers and prime numbers, were carried out and further still the resolution of the Goldbach conjecture is now effective. New original fundamental mathematical notions are established building the core of global dimensional mathematics based on the decomposition of integers into an addition of prime numbers terms and on fundamental geometric concepts such as the concept dimension based on the notion of direction and point, as well as research on set theory and work on the notion of limits and infinity. The termization as a decomposition of integers into an addition of prime number terms by a python program, breaks the unique factorization theorem, the fundamental theorem of arithmetic while the geometric notions developed break Euclidean geometry leading to a new mathematical framework, geometry, topology and metrics leading to a total change of theoretical scientific paradigm. Global dimensional mathematics forms the basis for the construction of the new scientific paradigm of the 21st century and beyond, opening up a still unknown perspective on the world of science in general.

2021 ◽  
Vol 1 ◽  
pp. 731-740
Author(s):  
Giovanni Formentini ◽  
Claudio Favi ◽  
Claude Cuiller ◽  
Pierre-Eric Dereux ◽  
Francois Bouissiere ◽  
...  

AbstractOne of the most challenging activity in the engineering design process is the definition of a framework (model and parameters) for the characterization of specific processes such as installation and assembly. Aircraft system architectures are complex structures used to understand relation among elements (modules) inside an aircraft and its evaluation is one of the first activity since the conceptual design. The assessment of aircraft architectures, from the assembly perspective, requires parameter identification as well as the definition of the overall analysis framework (i.e., mathematical models, equations).The paper aims at the analysis of a mathematical framework (structure, equations and parameters) developed to assess the fit for assembly performances of aircraft system architectures by the mean of sensitivity analysis (One-Factor-At-Time method). The sensitivity analysis was performed on a complex engineering framework, i.e. the Conceptual Design for Assembly (CDfA) methodology, which is characterized by level, domains and attributes (parameters). A commercial aircraft cabin system was used as a case study to understand the use of different mathematical operators as well as the way to cluster attributes.


Author(s):  
Chonglong Gu

The sociopolitical and cultural evolution as a result of the Reform and Opening up in 1978, facilitated not least by the inexorable juggernaut of globalization and technological advancement, has revolutionized the way China engages domestically and interacts with the outside world. The need for more proactive diplomacy and open engagement witnessed the institutionalization of the interpreter-mediated premier's press conferences. Such a discursive event provides a vital platform for China to articulate its discourse and rebrand its image in tandem with the profound changes signaled by the Dengist reform. This chapter investigates critically how political press conference interpreting and interpreters' agency in China are impacted in relation to such dramatic transformations. It is revealed that, while interpreters are confronted with seemingly conflicting expectations, in actual practice they are often able to negotiate a way as highly competent interpreting professionals with the additional missions of advancing China's global engagement and safeguarding China's national interests.


2012 ◽  
pp. 274-306
Author(s):  
Barry Cherkas ◽  
Rachael M. Welder

There is an abundance of Web-based resources designed for mathematics teachers and learners at every level. Some of these are static, while others are interactive or dynamic, giving mathematics learners opportunities to develop visualization skills, explore mathematical concepts, and obtain solutions to self-selected problems. Research into the efficacy of online mathematics demonstrations and interactive resources is lacking, but it is clear that not all online resources are equal from a pedagogical viewpoint. In this chapter, a number of popular and relevant websites for collegiate mathematics and collegiate preservice teacher education are examined. They are reviewed and investigated in terms of their interactivity, dynamic capabilities, pedagogical strengths and weaknesses, the practices they employ, and their potential to enhance mathematical learning both inside and outside of the collegiate classroom. Culled from these reviews is a working definition of “best practices”: condensing difficult mathematical concepts into representations and models that clarify ideas with minimal words, thereby enabling a typical student to grasp, quickly and easily, the underlying mathematics.


Author(s):  
Denis Gingras

In this chapter, the authors will review the problem of estimating in real-time the position of a vehicle for use in land navigation systems. After describing the application context and giving a definition of the problem, they will look at the mathematical framework and technologies involved to design positioning systems. The authors will compare the performance of some of the most popular data fusion approaches and provide some insights on their limitations and capabilities. They will then look at the case of robustness of the positioning system when one or some of the sensors are faulty and will describe how the positioning system can be made more robust and adaptive in order to take into account the occurrence of faulty or degraded sensors. Finally, they will go one step further and explore possible architectures for collaborative positioning systems, whereas many vehicles are interacting and exchanging data to improve their own position estimate. The chapter is concluded with some remarks on the future evolution of the field.


2018 ◽  
Vol 72 (4) ◽  
pp. 353-368
Author(s):  
James A. Kelhoffer

Abstract Part One of this investigation problematized the use by numerous scholars of an untenably broad definition of “Gnosticism” to support the inference that 2 Clement 12 criticizes gnostic Christ-believers. Part Two completes the analysis of 2 Clement 12 and examines 2 Clement 13, which casts further doubt upon the notion that 12:5-6 calls for sexual renunciation. It is argued that 12:1-13:4 is not polemical and does not censure any distinctively gnostic views or praxes. By shedding both the supposedly gnostic background of the dominical logion about “the two” becoming “one,” about the “outside” being like the “inside,” and about “neither male nor female” (12:2b, 6b) and an antignostic agenda for the interpretations of the logion (12:3-5), scholarship has a better chance of opening up promising avenues for interpreting 12:1-13:4. In particular, the call to cultivate thinking that does not take into account a Christian’s gender (12:5) and the notion that the kingdom’s arrival depends on believers’ moral development (12:6) merit further investigation.


1968 ◽  
Vol 15 (8) ◽  
pp. 683-686
Author(s):  
Tom Denmark

If geometry is to be an integral part of the mathematics curriculum for Grades K–6, then careful consideration must be given to the provision of a sound basis for the development of geometric concepts. One fundamental notion which is often overlooked or neglected is the concept of a point B being between two points A and C. Since the Euclidean definition of a point lying between two other points is essential to the formulation of definitions for line segments, rays, and lines, this concept should be introduced early in the children's study of geometry


Lord Cherwell (i) was, of course, a very distinguished ex-perimental physicist but he had (like many others) a considerable active interest in the theory of numbers. I met him in 1930 when Christ Church, Oxford, elected me to a Senior (postgraduate) Scholarship and I migrated there from my original college. Cherwell’s first published work (2) in the theory of numbers was a very simple and elegant proof of the fundamental theorem of arithmetic, that any positive integer can be expressed as a product of prime numbers in just one way (apart from a possible rearrangement of the order of the factors). (A prime is a positive integer greater than 1 whose only factors are 1 and itself.) His proof is by the method of descent (used by Fermat, but not for this problem). Assume the fundamental theorem false and call any number that can be expressed as a product of primes in two or more ways abnormal.


2006 ◽  
Vol 13 (1) ◽  
pp. 25-57 ◽  
Author(s):  
Christina Luke

This paper explores access to the Honduran past with a focus on northwestern Honduras, particularly the Ulua Valley. The foundations of national patrimony legislation and the practice of collecting antiquities are used to explore whether the disassociation of the archaeological community from the collecting sphere over the last several decades has better protected the archaeological record. I argue that early field expeditions led by U.S. archaeologists, the shipment of their finds to U.S. institutions, and subsequent massive looting galvanized Honduran efforts aimed at national patrimony legislation. The roles of the U.S. government and U.S.-based businesses as negotiating bodies in the early days of Honduran expeditions from 1890 to 1940 are explored in detail, particularly in the sphere of opening up the region to collectors and the role of the U.S. antiquities market. We can understand the early days of collecting in Honduras precisely because of the close relationships once forged between collectors, museums, and archaeologists, networks that have now disappeared because of current conceptions of archaeological ethics. The changing definition of a collector represents a key point throughout this analysis; at one time archaeologists, museums, and businesses were the primary collectors. The shift from the labelcollectortoarchaeologistis explored through the lens of the development of archaeology as a discipline, with a particular emphasis on context, and the contemporary legislative efforts aimed at cultural heritage projection. The essay concludes with a look at recent archaeological work in the region and the increasingly strict cultural patrimony legislation, specifically the 2004 U.S.–Honduran Memorandum of Understanding.


2016 ◽  
Vol 55 (1-2) ◽  
Author(s):  
Beatrix Visy

The self-definition of Szilárd Borbély’s only novel – limited fiction based on biographical elements – makes biographical and referential readings possible, thus we can interpret the text as the novel of 20th century poverty and traumatised childhood. However, the aspects of interpretation are concerned with the methods of fiction, the existential and metaphysical questions of the book: the child narrator’s tone offers the vision of a childhood rolling in an eternal present. This, together with the amnesia that interweaves the whole text, suggests a hopeless state of being. The feelings of otherness and solitariness, the signs of the absurdity of waiting for a Messiah and the representation of misery expand to an antrophological stance. New meanings can be attributed to the image of desperate human existence by the motif of prime numbers. The novels of Péter Esterházy, Sándor Tar and Tibor Noé Kiss are also discussed in connection with the representation of poverty and teodicea.


2019 ◽  
Vol 8 (1) ◽  
pp. 1-12
Author(s):  
Azhari Dewita ◽  
Abdul Mujib ◽  
Hasratuddin Siregar

AbstrakTujuan penelitian ini untuk mengetahui konsep (ide-ide) matematika yang terdapat  pada rumah adat Mandailing  yaitu Bagas Godang. Mandailing adalah salah satu suku Batak yang terletak di Kabupaten Tapanuli Selatan Sumatera Utara. Salah satu unsur budaya Mandailing adalah rumah adat Bagas Godang Sumatera Utara yang seharusnya menjadi perhatian pemerintah daerah setempat. Bagas Godang merupakan unsur budaya Mandailing yang dapat di jadikan media pembelajaran matematika sekolah, sehingga pembelajaran matematika dapat dimulai dari memperkenalkan budaya lokal seperti rumah adat budaya Mandailing atau Bagas Godang. Tulisan ini mengeksplorasi konsep-konsep matematika pada struktur dan ornamen rumah adat Bagas Godang. Pembahasan yang bersifat deskriptif memberi gambaran tentang ornamen rumah adat Bagas Godang lebih terperinci. Hasil eksplorasi dan analisis ornamen-ornamen Bagas Godang ditemukan adanya konsep matematika berupa konsep grup, geometri dan trasformasi geometri dan komposisinya. Ethnomatematic Study of Bagas Godang as a Mandailing Culture Element in North SumateraAbstractThe purpose of this study was to find out the concepts (ideas) of mathematics in the traditional Mandailing house, Bagas Godang. Mandailing is one of the Batak tribes located in South Tapanuli Regency, North Sumatra. One element of Mandailing culture is the traditional house of Bagas Godang, North Sumatra, which should be the concern of the local government. Bagas Godang is an element of Mandailing culture that can be used as a medium for school mathematics learning, so that mathematics learning can be started from introducing local culture such as the traditional Mandailing or Bagas Godang cultural houses. This research explores mathematical concepts in the structure and ornaments of the traditional Bagas Godang house. Descriptive discussion gives an overview of the traditional Bagas Godang house ornaments in more detail. Exploration and analysis of Bagas Godang ornaments found mathematical concepts such as group concepts, geometric concepts, and geometric transformations and their compositions.


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