scholarly journals On a Geometric Extension of the Notion of Exchangeability Referring to Random Events

2018 ◽  
Vol 7 (2) ◽  
pp. 50
Author(s):  
Pierpaolo Angelini ◽  
Angela De Sanctis

The notion of exchangeability referring to random events is investigated by using a geometric scheme of representation of possible alternatives. When we distribute among them our sensations of probability, we point out the multilinear essence of exchangeability by means of this scheme. Since we observe a natural one-to-one correspondence between multilinear maps and linear maps, we are able to underline that linearity concept is the most meaningful mathematical concept of probability theory. Exchangeability hypothesis is maintained for mixtures of Bernoulli processes in the same way. We are the first in the world to do this kind of work and for this reason we believe that it is inevitable that our references limit themselves only to those pioneering works which do not keep the real and deep meaning of probability concept a secret, unlike the current ones.

2021 ◽  
Author(s):  
Abdo Abou Jaoude

The mathematical probability concept was set forth by Andrey Nikolaevich Kolmogorov in 1933 by laying down a five-axioms system. This scheme can be improved to embody the set of imaginary numbers after adding three new axioms. Accordingly, any stochastic phenomenon can be performed in the set C of complex probabilities which is the summation of the set R of real probabilities and the set M of imaginary probabilities. Our objective now is to encompass complementary imaginary dimensions to the stochastic phenomenon taking place in the “real” laboratory in R and as a consequence to gauge in the sets R, M, and C all the corresponding probabilities. Hence, the probability in the entire set C = R + M is incessantly equal to one independently of all the probabilities of the input stochastic variable distribution in R, and subsequently the output of the random phenomenon in R can be evaluated totally in C. This is due to the fact that the probability in C is calculated after the elimination and subtraction of the chaotic factor from the degree of our knowledge of the nondeterministic phenomenon. We will apply this novel paradigm to the classical Bayes’ theorem in probability theory.


MaPan ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 119
Author(s):  
Syamsuri Syamsuri ◽  
Cecep AHF Santosa

This study aims to analyze the mental structure experienced by students when understanding the concept of probability reviewed from APOS Theory and then suggests a lesson that accommodates the mental structure. APOS theory states that a learner forms a suitable mental structure when interpreting a mathematical concept. This study involved 106 third semester students who enrolled in Probability Theory. The students were given ACE (Activities, Classroom, Exercises) learning cycle treatment. After treatment, students were then given homework assignments that aim to reinforce the learning process. After the sixth week of learning, data were collected through a test. The results of this study are as follows: (1) the mental structure of students towards the concept of opportunity is still at the process level, not at the object-level, (2) Improving the learning of probability concept requires activities to improve verbal understanding, not only in the form of pictures and symbols. The alternative learning treatments are written in this article.


EDIS ◽  
2019 ◽  
Vol 2019 (5) ◽  
pp. 14
Author(s):  
John Rutledge ◽  
Joy C. Jordan ◽  
Dale W. Pracht

 The 4-H Citizenship Project offers the opportunity to help 4-H members relate all of their 4-H projects and experiences to the world around them. The 4-H Citizenship manuals will serve as a guide for 4-H Citizenship experiences. To be truly meaningful to the real-life needs and interests of your group, the contribution of volunteer leaders is essential. Each person, neighborhood, and community has individual needs that you can help your group identify. This 14-page major revision of Unit IV covers the heritage project. Written by John Rutledge, Joy C. Jordan, and Dale Pracht and published by the UF/IFAS Extension 4-H Youth Development program. https://edis.ifas.ufl.edu/4h019


2020 ◽  
Vol 15 (1) ◽  
Author(s):  
Rahma Yudi Astuti ◽  
Asad Arsya Brilliant Fani

Sukuk and Bonds has differences and similarities. Fundamental differences between sukuk and bonds are first, underlying asset in every sukuk issuance, concept of profit loss sharing and the use of Islamic contracts. Whereas conducted research in practice of differences between sukuk and bonds are still an on-going discussion. This study aims to add the evidence in the discussion regarding whether there is differences between sukuk and bonds in the world of practice, provide investment preferences as well as educating investors in choosing sukuk or bonds as a sustainable and smooth instrument. The method used is Mann Whitney U-Test to test whether there is a different between yield to maturity (return) and standard deviation (risk) of both instruments. Using secondary data of Retail Sukuk (SR) and Retail Bonds (ORI) period 2008-2017 obtained from Indonesia Stock Exchange, Indonesia Bond Market Directory and Indonesia Bond Pricing Agency. The result shows that there is no significance difference of retail sukuk return and risk with retail bonds in Indonesia. Besides retail bonds are show higher return than retail sukuk because of higher coupon and longest mature date. While, retail sukuk is more stable rather than bonds as it backed up by the real underlying asset. Keywords: Retail Sukuk (SR), Retail Bonds (ORI), Yield to Maturity


Author(s):  
Dr. Jianfei Yang

COVID-19 has made a bad influence on economic and society including cultural and tourism industry in China,2020.The industry has received a huge loss in the first quarter of the year and the situation is getting worse in the near future. It is believed that there will be a long impact for the country even the world. In order to recover the industry, Chinese government has published series of policies to support the enterprises and clusters to reduce the bad influence of COVID-19. This paper mainly uses filed survey and documentary research to map the real situation of the industry. It tries to find the policy demand of the industries and then analyze the policies published by government to conquer COVID-19. Meanwhile it will focus on whether the supply meet the demand and give suggestions on how to promote the policy efficiency in the post period of COVID-19 in China. Keywords: Evaluation; Cultural Industries; Policy; Park; Pandemic


Author(s):  
Masoud Keighobadi ◽  
Maryam Nakhaei ◽  
Ali Sharifpour ◽  
Ali Akbar Khasseh ◽  
Sepideh Safanavaei ◽  
...  

Background: This study was designed to analyze the global research on Lophomonas spp. using bibliometric techniques. Methods: A bibliometric research was carried out using the Scopus database. The analysis unit was the research articles conducted on Lophomonas spp. Results: Totally, 56 articles about Lophomonas spp. were indexed in the Scopus throughout 1933-2019 ( 87 years ) with the following information: (A) The first article was published in 1933; (B) 21 different countries contributed in studies related to Lophomonas spp.; (C) China ranked first with 16 publications about Lophomonas spp.; and (D) “Brugerolle, G” and “Beams, H.W.” from France and the US participated in 4 articles respectively, as the highest number of publications in the Lophomonas spp. network. Discussion: After 87 years, Lophomonas still remains unknown for many researchers and physicians around the world. Further studies with high quality and international collaboration are urgently needed to determine different epidemiological aspects and the real burden of the mysterious parasite worldwide.


Author(s):  
Matthew Rendall

It is sometimes argued in support of discounting future costs and benefits that if we gave the same weight to the future as to the present, we would invest nearly all our income, but never spend it. Rather than enjoying the fruits of our investments, we would always do better to reinvest them. Undiscounted utilitarianism (UU), so the argument goes, is collectively self-defeating. This attempted reductio ad absurdum fails. Regardless of whether each generation successfully followed UU, or merely attempted to follow it, we could never get trapped in endless saving. The real problem is different: without the ability to foresee the end of the world, UU cannot tell us how much to save. Discounting is a defensible response, but only when coupled with a rule against risking catastrophe.


2021 ◽  
pp. 095715582110024
Author(s):  
Murielle El Hajj

The texts of Leslie Kaplan question the irreducible opposition between the real and the non-real. Her characters and their intentional absence confuse the repository and fictional worlds, not only to point out the thin margin between reality and fiction, but to underline the impossible delimitation between the real and the fictional, or even between the text and the world. This article studies the characters of Kaplan and aims to demonstrate their identity crisis through the study of their literary onomastic and the use of the neutral pronoun ‘it’ and allegoric expressions. In addition, the objective of this article is to shed light on the Kaplanian characters as Kunderian models, while stressing the particularity of their physionomy, which consists to present ‘fuzzy’ characters that are present and absent at the same time, engaging the reader in the fictional process as a try to complete the missing details. This article concludes that the Kaplanian characters are not only the prototypes of the postmodern being, but they are also introverted, psychopaths and a demonstration of different facets of the unconscious.


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