Ratio Mathematica
http://eiris.it/ojs/index.php/ratiomathematica
<p><strong>RATIO MATHEMATICA - JOURNAL OF MATHEMATICS, STATISTICS, AND APPLICATIONS</strong></p><p>Ratio Mathematica is an International, double peer-reviewed, open access journal, published every six months (June-December). Ratio Mathematica publishes original research articles on theoretical Mathematics and Statistics. However, contributions with applications to Social Science, Engineering, and Economics are welcome. Only English-language publications are accepted.</p><p>The main topics of interest for Ratio Mathematica are:</p><p>-Advances in theoretical mathematics and statistics;<br />-Applications of mathematical and statistical models to social science, engineering, ecology, and economics;<br />-Decision making in conditions of uncertainty;<br />-Fuzzy logic;<br />-Probability;<br />-Algebraic hyperstructures;<br />-Discrete mathematics;<br />-New theories for dissemination and communication of mathematics;<br />-Epistemology of mathematics;<br />-Critique of the foundations of mathematics;<br />-Numbers theory;<br />-Foundations of the mathematics of uncertain.</p><p> </p><p><a href="/template_aggiornati_al_19-4-2019/RM-Tex.zip">Download template (Tex)</a></p><p><a href="/template_aggiornati_al_19-4-2019/RM-Word.zip">Download template (Word)</a></p><p> </p><p><a href="/ojs/index.php/ratiomathematica/author/submit/1">Submit your original paper online</a> (If you do not have access credentials, please contact fabmatu@gmail.com to ask for user and password)</p><p> </p><p><strong>Indexing</strong>: Ratio Mathematica is abstracted and indexed in: </p><p><a title="DOAJ" href="https://doaj.org/toc/2282-8214?source=%7B%22query%22%3A%7B%22filtered%22%3A%7B%22filter%22%3A%7B%22bool%22%3A%7B%22must%22%3A%5B%7B%22term%22%3A%7B%22index.issn.exact%22%3A%222282-8214%22%7D%7D%2C%7B%22term%22%3A%7B%22_type%22%3A%22article%22%7D%7D%5D%7D%7D%2C%22query%22%3A%7B%22match_all%22%3A%7B%7D%7D%7D%7D%2C%22sort%22%3A%5B%7B%22bibjson.year.exact%22%3A%7B%22order%22%3A%22desc%22%7D%7D%2C%7B%22bibjson.month.exact%22%3A%7B%22order%22%3A%22desc%22%7D%7D%5D%2C%22from%22%3A0%2C%22size%22%3A100%7D" target="_blank">DOAJ</a></p><p><a href="http://index.pkp.sfu.ca/index.php/browse/index/1071?sortOrderId=6">PKP (Public Knowledge Project)</a></p><p><a href="https://www.worldcat.org/">OCLC WorldCat</a></p><p><a href="https://scholar.google.it/scholar?hl=it&q=+Ratio+Mathematica&btnG=&lr=">Google Scholar</a></p><p><a href="http://agriculture.academickeys.com/jour_main.php">AcademicKeys</a></p><p><a href="http://journalseek.net/cgi-bin/journalseek/journalsearch.cgi?field=issn&query=1592-7415">Genamics</a></p><p><a href="http://www.journaltocs.ac.uk/index.php?action=search&subAction=hits&journalID=37603&userQueryID=8709&high=1&ps=30&page=1&items=0&journal_filter=&journalby=">JournalTOCs</a></p><p><a href="http://acnp.unibo.it/cgi-ser/start/it/cnr/df-p.tcl?catno=2401374&libr=&person=false&B=2&proposto=NO&year_poss_from=&year_poss_to=">ANCP</a></p><p><a href="http://www.sbn.it/opacsbn/opac/iccu/free.jsp">OPAC SBN</a></p><p><a href="http://www.proquest.com/">PROQUEST</a></p><p>The printed copies of the journal are stored at the <strong>National Library of Florence</strong> and <strong>Provincial Library of Pescara, Italy</strong>.</p><p> </p><p> </p><p><strong>Publish or Perish Statistics </strong></p><p>## "Ratio Mathematica" ##</p><p>Publish or Perish 7.19.2723.7370 (basic report)<br />Windows (x64) edition, running on Windows 10.0.18362 (x64)</p><p>### Search terms ###</p><p>Publication name: "Ratio Mathematica"<br />Years: all</p><p><br />### Data retrieval ###</p><p>Data source: Google Scholar<br />Search date: 2020-03-09 15:16:18 +0100<br />Cache date: 2020-03-09 15:18:09 +0100<br />Search result: [0] No error</p><p>Important: This data source provides only abbreviated data. Any ellipses (... marks) shown in this report originate from the data source; they are NOT caused by subsequent processing in Publish or Perish.</p><p><br />### Metrics ###</p><p>Reference date: 2020-03-09 15:18:09 +0100<br />Publication years: 1990-2019<br />Citation years: 30 (1990-2020)<br />Papers: 289<br />Citations: 754<br />Citations/year: 25.13 (acc1=22, acc2=13, acc5=0, acc10=0, acc20=0)<br />Citations/paper: 2.61<br />Authors/paper: 1.72/2.0/1 (mean/median/mode)<br />Age-weighed citation rate: 79.30 (sqrt=8.90), 50.98/author<br />Hirsch h-index: 15 (a=3.35, m=0.50, 328 cites=43.5% coverage)<br />Egghe g-index: 19 (g/h=1.27, 381 cites=50.5% coverage)<br />PoP hI,norm: 11<br />PoP hI,annual: 0.37</p>APAVen-USRatio Mathematica1592-7415<p>This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:</p><ul><li>Free access for all users worldwide</li><li>Increased visibility and readership</li><li>Rapid publication</li><li>No spatial constraints</li><li>Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)</li></ul><h2>Copyright and Licensing Terms</h2><p>Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. <br />For further information visit: <a href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</a>. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards:</p><p><img id="__wp-temp-img-id" title="" src="http://www.eiris.it/ratio_numeri/ratio_accessori/cc.png" alt="Creative Commonce Licence" width="88" height="31" /></p>Studies on the classical determinism predicted by A. Einstein, B. Podolsky and N. Rosen
http://eiris.it/ojs/index.php/ratiomathematica/article/view/477
<p>In this paper, we continue the study initiated in preceding works of the argument by A. Einstein, B. Podolsky and N. Rosen according to which quantum mechanics could be “completed” into a broader theory recovering classical determinism. By using the previously achieved isotopic lifting of applied mathematics into isomathematics and that of quantum mechanics into the isotopic branch of hadronic mechanics, we show that extended particles appear to progressively approach classical determinism in the interior of hadrons, nuclei and stars, and appear to recover classical determinism at the limit conditions in the interior of gravitational collapse</p>Ruggero Maria Santilli
Copyright (c) 2019 Ruggero Maria Santilli
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2019-12-302019-12-303752310.23755/rm.v37i0.477Some results for Volterra integro-differential equations depending on derivative in unbounded domains
http://eiris.it/ojs/index.php/ratiomathematica/article/view/486
<p>In this paper we study the existence of continuous solutions of an integro-differential equation in unbounded interval depending on derivative This paper extend some results obtained by the authors using the technique developed in their previous paper. This technique consists in introducing, in the given problems, a function <em>q</em>, belonging to a suitable space, instead of the state variable <em>x. </em>The fixed points of this function are the solutions of the original problem. In this investigation we use a fixed point theorem in Fréchet spaces.</p>Giuseppe AnichiniGiuseppe ContiAlberto Trotta
Copyright (c) 2019 Giuseppe Conti
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2019-12-302019-12-3037253810.23755/rm.v37i0.486Solving some specific tasks by Euler's and Fermat's Little theorem
http://eiris.it/ojs/index.php/ratiomathematica/article/view/485
Euler's and Fermat's Little theorems have a great use in number theory. Euler's theorem is currently widely used in computer science and cryptography, as one of the current encryption methods is an exponential cipher based on the knowledge of number theory, including the use of Euler's theorem. Therefore, knowing the theorem well and using it in specific mathematical applications is important. The aim of our paper is to show the validity of Euler's theorem by means of linear congruences and to present several specific tasks which are suitable to be solved using Euler's or Fermat's Little theorems and on which the principle of these theorems can be learned. Some tasks combine various knowledge from the field of number theory, and are specific by the fact that the inclusion of Euler's or Fermat's Little theorems to solve the task is not immediately apparent from their assignment.Viliam Ďuriš
Copyright (c) 2019 Viliam Ďuriš
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2019-12-302019-12-3037394810.23755/rm.v37i0.485Mahgoub Transform on Boehmians
http://eiris.it/ojs/index.php/ratiomathematica/article/view/468
Boehmian’s space is established utilizing an algebraic way that approximate identities or delta sequences and appropriate convolution. The space of distributions can be related to the proper subspace. In this paper, firstly we establish the appropriate Boehmian space, on which the Mahgoub Transformation can be described& function space K can be embedded. We add to more in this, our definitions enhance Mahgoub transform to progressively wide spaces. We additionally explain the functional axioms of Mahgoub transform on Boehmians. Lastly toward the finishing of topic, we analyze with specify axioms and properties for continuity and the enlarged Mahgoub transform, also its inverse regards to∆- convergence and δ.Yogesh KhandelwalPriti Chaudhary
Copyright (c) 2019 Yogesh Khandelwal, Priti Chaudhary
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2019-12-302019-12-3037496010.23755/rm.v37i0.468On cyclic multigroup family
http://eiris.it/ojs/index.php/ratiomathematica/article/view/476
In this paper, the concept of cyclic multigroup is studied from the preliminary knowledge of cyclic group which is a well known concept in crisp environment. By using cyclic multigroups, we then delineate a cyclic multigroup family and investigate its structure properties.Johnson Aderemi Awolola
Copyright (c) 2019 Johnson Aderemi Awolola
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2019-12-302019-12-3037616810.23755/rm.v37i0.476A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences
http://eiris.it/ojs/index.php/ratiomathematica/article/view/480
Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution. We ask ourselves if such persisting difficulties could be understood as due to theoretical incompatibilities. We consider the problem in the conceptual framework of computational theory. This article is a contribution to the philosophy of mathematics proposing different possible understandings of the supposed<em> theoretical</em> unavailability and indemonstrability of the existence of a law of distribution of prime numbers. Tentatively, we conceptually consider demonstrability as computability, in our case the <em>conceptual availability</em> of an algorithm able to compute the general properties of the presumed primes’ distribution law <em>without computing such distribution</em>. The link between the conceptual availability of a distribution law of primes and decidability is given by considering how to <em>decide</em> if a number is prime <em>without</em> computing. The supposed distribution law should allow for any given prime knowing the next prime <em>without factorial computing</em>. <em>Factorial properties of numbers, such as their property of primality, require their factorisation (or equivalent, e.g., the sieves), i.e., effective computing. However, we have factorisation techniques available, but there are no (non-quantum) known algorithms which can effectively factor arbitrary large integers. Then factorisation is undecidable. We consider the theoretical unavailability of a distribution law for factorial properties, as being prime, equivalent to its non-computability, undecidability. </em>The availability and demonstrability of a hypothetical law of distribution of primes is inconsistent with its undecidability. The perspective is to transform this conjecture into a theorem.Gianfranco Minati
Copyright (c) 2019 Gianfranco Minati
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2019-12-302019-12-3037698410.23755/rm.v37i0.480Legendre Wavelet expansion of functions and their Approximations
http://eiris.it/ojs/index.php/ratiomathematica/article/view/491
<p>In this paper , nine new Legendre wavelet estimators of functions<br />having bounded third and fourth derivatives have been obtained.These<br />estimators are new and best approximation in wavelet analysis. Legendre<br />wavelet estimator of a function f of bounded higher order derivatives is<br />better and sharper than the estimator of a function f of bounded less order<br />derivative.</p>Indra BhanLal ShyamLal Shyam
Copyright (c) 2020 indra bhan
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2019-12-302019-12-30378510910.23755/rm.v37i0.491