scholarly journals Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2939
Author(s):  
Pengcheng Li ◽  
Donghe Pei

The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by using framed curvatures of spacelike framed curves. Finally, we exhibit some examples to illustrate our results.

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
M. Akyig~it ◽  
S. Ersoy ◽  
İ. Özgür ◽  
M. Tosun

We give the definition of generalized timelike Mannheim curve in Minkowski space-time . The necessary and sufficient conditions for the generalized timelike Mannheim curve are obtained. We show some characterizations of generalized Mannheim curve.


2015 ◽  
Vol 30 (4) ◽  
pp. 375-393 ◽  
Author(s):  
Jorge J. Gómez-Sanz ◽  
Rubén Fuentes-Fernández

AbstractFor many years, the progress in agent-oriented development has focused on tools and methods for particular development phases. This has not been enough for the industry to accept agent technology as we expected. Our hypothesis is that the Agent-Oriented Software Engineering (AOSE) community has not recognized the kind of development methods that industry actually demands. We propose to analyze this hypothesis starting with a more precise definition of what an AOSE methodology should be. This definition is the first step for a review of the current progress of an illustrative selection of methodologies, looking for missing elements and future lines of improvement. The result is an account of how well the AOSE community is meeting the software lifecycle needs. It can be advanced that AOSE methodologies are far from providing all the answers industry requires and that effort has grounded mainly in requirements, design, and implementation phases.


Sensors ◽  
2021 ◽  
Vol 21 (24) ◽  
pp. 8474
Author(s):  
Mubarak Alotaibi ◽  
Barmak Honarvar Shakibaei Asli ◽  
Muhammad Khan

Non-Invasive Inspection (NII) has become a fundamental tool in modern industrial maintenance strategies. Remote and online inspection features keep operators fully aware of the health of industrial assets whilst saving money, lives, production and the environment. This paper conducted crucial research to identify suitable sensing techniques for machine health diagnosis in an NII manner, mainly to detect machine shaft misalignment and gearbox tooth damage for different types of machines, even those installed in a hostile environment, using literature on several sensing tools and techniques. The researched tools are critically reviewed based on the published literature. However, in the absence of a formal definition of NII in the existing literature, we have categorised NII tools and methods into two distinct categories. Later, we describe the use of these tools as contact-based, such as vibration, alternative current (AC), voltage and flux analysis, and non-contact-based, such as laser, imaging, acoustic, thermographic and radar, under each category in detail. The unaddressed issues and challenges are discussed at the end of the paper. The conclusions suggest that one cannot single out an NII technique or method to perform health diagnostics for every machine efficiently. There are limitations with all of the reviewed tools and methods, but good results possible if the machine operational requirements and maintenance needs are considered. It has been noted that the sensors based on radar principles are particularly effective when monitoring assets, but further comprehensive research is required to explore the full potential of these sensors in the context of the NII of machine health. Hence it was identified that the radar sensing technique has excellent features, although it has not been comprehensively employed in machine health diagnosis.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Andrea Campoleoni ◽  
Dario Francia ◽  
Carlo Heissenberg

Abstract We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski space. We then identify higher-spin supertranslations and generalised superrotations in any dimension. These symmetries are in one-to-one correspondence with spin-s partially-massless representations on the celestial sphere, with supertranslations corresponding in particular to the representations with maximal depth. We discuss the definition of the corresponding asymptotic charges and we exploit the supertranslational ones in order to prove the link with Weinberg’s soft theorem in even dimensions.


2019 ◽  
Vol 23 (Suppl. 1) ◽  
pp. 353-360
Author(s):  
Hatice Kusak-Samanci ◽  
Huseyin Kocayigit

In this article, the N-Bishop frame in Minkowski space is investigated for spacelike curves with a spacelike binormial. Some features of the normal expansion are proven via for the spacelike curve. Then, a new Darboux frame called by the N-Bishop Darboux frame is introduced at first time. Furthermore, some geometrical properties of the N-Bishop Darboux frame are proven. As a result, the N-Bishop Darboux axis and momentum rotation vector are calculated.


Author(s):  
Mihail Pavlik ◽  
Konstantin Borichev

The article is devoted to the consideration of the current phenomenon – «the terrorism of individuals». In particular, it is presented the definition of the concept in question, its main specificity and current trends. The article describes the terrorist acts committed by loner terrorists in the period from 2017 to 2020 in Europe, as well as an analysis of similar crimes from 2000 to 2014. Special attention is paid to the role of international terrorist organizations in their work with their followers in the form of individual terrorists.The features of preparation of the investigated terrorist acts, including the means, tools and methods of their commission, are considered. It was done the analysis of the ideological component in the illegal activities of loner terrorists, and were identified the main directions of their terrorist ideology. The role of the Internet, social networks and messengers in terrorist activities was studied. Proposals to counteract the terrorism of individuals and improve the effectiveness of counter-terrorism measures in general are presented. As a result of the study, the fundamental directions of anti-terrorist activities in Russia in the sphere of countering the terrorist threat posed by loner terrorists were identified. Special attention is paid to the prevention of lone-person terrorism and the participation of representatives of public and religious associations and national diasporas in this activity.The features of preparation of the investigated terrorist acts, including the means, tools and methods of their commission, are considered. It was done the analysis of the ideological component in the illegal activities of loner terrorists, and were identified the main directions of their terrorist ideology. The role of the Internet, social networks and messengers in terrorist activities was studied. Proposals to counteract the terrorism of individuals and improve the effectiveness of counter-terrorism measures in general are presented. As a result of the study, the fundamental directions of anti-terrorist activities in Russia in the sphere of countering the terrorist threat posed by loner terrorists were identified. Special attention is paid to the prevention of lone-person terrorism and the participation of representatives of public and religious associations and national diasporas in this activity.


Author(s):  
Lawrie Phipps ◽  
Donna M Lanclos

Across education all aspects of practice, including teaching, research, public engagement and administration, are taking place increasingly against a digital backdrop. As digital becomes widely recognized as both key element of enabling institutional change, and creating challenges for all institutional activities, Jisc have developed a digital leaders course to engage delegates with their own digital practices, and help them in applying tools and methods to both support their own development and leverage digital in their organization. This short paper reports on the initial courses and some of the delegate reactions, drivers to participate in the course and it also outlines the structure of the course and the underpinning approaches taken. Barnett’s definition of supercomplexity, a time of uncertainty, unpredictability, challenge and change frames the nature of the education landscape faced by institutions well. However, through the digital leaders course, Jisc seeks to both frame the challenges created by digital, and also show digital as providing the capacity and capabilities to respond to supercomplexity.


2020 ◽  
Vol 22 (4) ◽  
pp. 1247-1260
Author(s):  
Kaid-Ameur Djilali ◽  
Ahmed Hebbar

AbstractThe work presented in this study focus on the application of the method of the plans of experiences (MPE) to the study and the optimization of the quantification of the wear of the steels (XC48, A60) under the effect of a factor of environment in the occurrence Hydrogen. Modeling can draw inspiration from the mathematical models established by the (MPE) in order to analyze more deeply the phenomenon of the wear while taking account of the various relevant factors [1].The MPE, introduced is a consistent set of tools and methods algèbro-statistics to establish and analyze the relationships in the quantities studied (responses) and their sources of variations (factors) [2]. This analysis may be qualitative: study of “screening” (determination of influential factors) or quantitative: methodology of the surfaces of answers (variation of responses according to the influential factors). In all cases, it has for the purpose of determination of mathematical models approached the answers expressed in terms of the factors. These models are deducted from the values obtained of series of experiments. The definition of these plans of experiences determines the measurable quality of models. The multiple facets of the MPE are then used as the basis for the development of strategy to optimize [3].


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Philippe Mathieu ◽  
Jean-Christophe Wallet

Abstract We show that κ-Poincaré invariant gauge theories on κ-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of the κ-Minkowski space to d = 5 and selects the unique twisted differential calculus with which the construction can be achieved. We characterize a BRST symmetry related to the 5-d noncommutative gauge invariance though the definition of a nilpotent operation, which is used to construct a gauge-fixed action. We also consider standard scenarios assuming (compactification of) flat extra dimension, for which the 5-d deformation parameter κ can be viewed as the bulk 5-d Planck mass. We study physical properties of the resulting 4-d effective theories. Recent data from collider experiments require κ ≳ $$ \mathcal{O} $$ O (1013) GeV. The use of standard test of in-vacuo dispersion relations of Gamma Ray Burst photons increases this lower bound by 4 orders of magnitude. The robustness of this bound is discussed in the light of possible new features of noncommutative causal structures.


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