scholarly journals From Automata to Multiautomata via Theory of Hypercompositional Structures

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 1
Author(s):  
Štěpán Křehlík ◽  
Michal Novák ◽  
Jana Vyroubalová

In this paper, we study two important problems related to quasi-multiautomata: the complicated nature of verification of the GMAC condition for systems of quasi-multiautomata, and the fact that the nature of quasi-multiautomata has deviated from the original nature of automata as seen by the theory of formal languages. For the former problem, we include several new conditions that simplify the procedure. For the latter problem, we close this gap by presenting a construction of quasi-multiautomata, which corresponds to deterministic automata of the theory of formal languages and is based on the operation of concatenation.

Author(s):  
Maryna Khmara

The peculiarities of gemstone market functioning under the impact of globalization are examined. Modern condition of financial stabilization in world is defined and main features of gemstones are outlined. Negative impact of illegal market on socio-economic development of countries, namely on revenues to the country’s budget from the business, is revealed. The importance of the problem of transferring most of gemstones processing operations beyond the countries of production is emphasized. Poor public control over the circulation of precious stones is proven. The challenges are substantiated to be aggravating under the impact of globalization. The diamonds market, which has peculiar high demand, is analyzed: diamonds and derivatives account for 85% of global turnover. Application of managerial strategies for gemstones market to efficiently use resources is defined to be complicated by the fact that managerial strategies impact the high cost of product items and its variability; unique features; intangible qualities; complicated processing. More environmentally friendly production and social responsibility are confirmed to have impact on forming of demand on gemstones. Investment attractiveness of gemstones, except for diamonds, is proven to be low. Condition of production and consumption of diamonds is analyzed. Development condition of the market segment – non-diamonds gemstones – is shown. The activity of small enterprises and households engaged in gemstones production is confirmed to be characterized by chaotic and complicated nature of broker networks, leading to aggravated global challenges. The paper defines that expansion of spectrum and emergence of new opportunities for illegal activity, reduced income and loss of other types of economic benefits, growing negative ecological and social impact, growing exploitation of workers at illegal enterprises remain to be the global challenges of gemstones market functioning. The author suggests increasing of social and ecological responsibility of business, strengthening of the state regulating functions and promotion of gemstones market legalization in order to reduce the challenges.


2020 ◽  
Author(s):  
Zahra Zandesh

BACKGROUND The complicated nature of cloud computing encompassing internet-based technologies and service models for delivering IT applications, processing capability, storage, and memory space and some notable features motivate organizations to migrate their core businesses to the cloud. Consequently, healthcare organizations are much interested to migrate to this new paradigm despite challenges about security, privacy and compliances issues. OBJECTIVE The present study was conducted to investigate all related cloud compliances in health domain in order to find gaps in this context. METHODS All works on cloud compliance issues were surveyed after 2013 in health domain in PubMed, Scopus, Web of Science, and IEEE Digital Library databases. RESULTS Totally, 36 compliances had been found in this domain used in different countries for a variety of purposes. Initially, all founded compliances were divided into three parts as well as five standards, twenty-eight legislations and three policies and guidelines each of which is presented here by in detail. CONCLUSIONS Then, some main headlines like compliance management, data management, data governance, information security services, medical ethics, and patients' rights were recommended in terms of any compliance or frameworks and their corresponding patterns which should be involved in this domain.


Worldview ◽  
1975 ◽  
Vol 18 (7-8) ◽  
pp. 36-39
Author(s):  
Saburo Okita

The economy of Southeast Asia has been in relatively good shape in spite of the instability of the world monetary system, trade deficits, and the worldwide oil crisis. There are promising factors for economic growth, opportunities for employment, and possibilities of rising income. But Asian development presents short-and long-term problems of a very complicated nature. One of the most serious problems is inflation and its impact on the social and political programs of individual countries. At the same time, there are severe shortages of basic commodities, such as oil and food. My own country, Japan, is among those affected.


2021 ◽  
Vol 180 (1-2) ◽  
pp. 151-177
Author(s):  
Qichao Wang

Weighted restarting automata have been introduced to study quantitative aspects of computations of restarting automata. In earlier works we studied the classes of functions and relations that are computed by weighted restarting automata. Here we use them to define classes of formal languages by restricting the weight associated to a given input word through an additional requirement. In this way, weighted restarting automata can be used as language acceptors. First, we show that by using the notion of acceptance relative to the tropical semiring, we can avoid the use of auxiliary symbols. Furthermore, a certain type of word-weighted restarting automata turns out to be equivalent to non-forgetting restarting automata, and another class of languages accepted by word-weighted restarting automata is shown to be closed under the operation of intersection. This is the first result that shows that a class of languages defined in terms of a quite general class of restarting automata is closed under intersection. Finally, we prove that the restarting automata that are allowed to use auxiliary symbols in a rewrite step, and to keep on reading after performing a rewrite step can be simulated by regular-weighted restarting automata that cannot do this.


1981 ◽  
Vol 4 (3) ◽  
pp. 531-549 ◽  
Author(s):  
Miklós Szijártó

The correspondence between sequential program schemes and formal languages is well known (Blikle and Mazurkiewicz (1972), Engelfriet (1974)). The situation is more complicated in the case of parallel program schemes, and trace languages (Mazurkiewicz (1977)) have been introduced to describe them. We introduce the concept of the closure of a language on a so called independence relation on the alphabet of the language, and formulate several theorems about them and the trace languages. We investigate the closedness properties of Chomsky classes under closure on independence relations, and as a special case we derive a new necessary and sufficient condition for the regularity of the commutative closure of a language.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Matthew R. Swiatnicki ◽  
Eran R. Andrechek

AbstractThe E2F family of transcription factors is important for many cellular processes, from their canonical role in cell cycle regulation to other roles in angiogenesis and metastasis. Alteration of the Rb/E2F pathway occurs in various forms of cancer, including breast cancer. E2F1 ablation has been shown to decrease metastasis in MMTV-Neu and MMTV-PyMT transgenic mouse models of breast cancer. Here we take a bioinformatic approach to determine the E2F1 regulated genomic alterations involved in the metastatic cascade, in both Neu and PyMT models. Through gene expression analysis, we reveal few transcriptome changes in non-metastatic E2F1−/− tumors relative to transgenic tumor controls. However investigation of these models through whole genome sequencing found numerous differences between the models, including differences in the proposed tumor etiology between E2F1−/− and E2F1+/+ tumors induced by Neu or PyMT. For example, loss of E2F1 within the Neu model led to an increased contribution of the inefficient double stranded break repair signature to the proposed etiology of the tumors. While the SNV mutation burden was higher in PyMT mouse tumors than Neu mouse tumors, there was no statistically significant differences between E2F WT and E2F1 KO mice. Investigating mutated genes through gene set analysis also found a significant number of genes mutated in the cell adhesion pathway in E2F1−/− tumors, indicating this may be a route for disruption of metastasis in E2F1−/− tumors. Overall, these findings illustrate the complicated nature of uncovering drivers of the metastatic process.


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