250 results
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2. Conjuncts as Discourse Markers in Scientific Papers in the Field of Chemical Engineering Written in English and Serbian
- Author
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Vesna P. Cvijetinovic
- Subjects
academic discourse ,Transition (fiction) ,Contrast (statistics) ,Class (philosophy) ,Variety (linguistics) ,discourse markers ,language.human_language ,Linguistics ,lcsh:Philology. Linguistics ,lcsh:P1-1091 ,cohesive devices ,Taxonomy (general) ,language ,Serbian ,esp ,Discourse marker ,contrastive analysis ,conjuncts ,Contrastive analysis ,Mathematics - Abstract
This paper contrasts the use of conjuncts as discourse markers in academic discourse in the field of chemical engineering written by native speakers of English with those written in Serbian. The analysis focuses on the adverbials which fall into the class of conjuncts with the following semantic categories: listing, summation, apposition, contrast, inference, result and transition. The adverbials were contrasted regarding their number, diversity and frequency, the taxonomy of their syntactic forms, as well as their position against the segments which they connect. Results showed that the English sample contained more conjuncts with respect to both variety and frequency. When it comes to the syntactic forms used, it was oserved that adverbs were dominant over other forms in the English sample, particularly when it comes to their frequency. On the other hand, although only 12 out of 30 adverbials used in the papers in Serbian were adverbs, their frequency was only slightly lower than the frequency of other forms used. The adverbials were predominantly used initially in both samples, and the final position was extremely rare. The English sample contained more examples of medial position (with the segments at the level of sentences), whereas the authors of the papers written in Serbian preferred the medial position between two segments at the level of clauses.
- Published
- 2019
3. A report of serious and multiple ethical misconducts.
- Author
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Mortini, Raymond, Sal Moslehian, Mohammad, Révész, Szilárd Gy., and Tomilov, Yuri
- Subjects
MATHEMATICAL periodicals ,PLAGIARISM ,MATHEMATICS ,MATHEMATICAL research ,SCIENCE periodicals ,ELECTRONIC systems - Abstract
The article informs about case study of a serious and multiple ethical misconduct after an author submitted a paper to five journals for publication and committed some form of plagiarism. Topics include mathematics and in sciences in general, multiple submissions of the same results or parallel papers are prohibited as serious ethical misconduct; and mathematics simultaneous or concurrent submission of a manuscript describing the same research publication in the electronic online systems.
- Published
- 2021
- Full Text
- View/download PDF
4. Wie viele Zacken hat Dein Stern?
- Author
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Hoffmann, Max
- Subjects
- *
MATHEMATICS , *AUTHORS , *UNIVERSITIES & colleges - Abstract
The article "How many points does your star have?" by Max Hoffmann describes a guide for folding and cutting a star from a square sheet of paper. By folding and cutting, a star with a specific number of points is created. The author suggests using colored paper and using the star as a decoration for the room. The question is also raised whether it is possible to create stars with more or fewer points. The author, Dr. Max Hoffmann, works at the Institute for Mathematics at the University of Paderborn. [Extracted from the article]
- Published
- 2024
- Full Text
- View/download PDF
5. Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid
- Author
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Pekka Neittaanmäki, Tero Tuovinen, Juha Jeronen, and Nikolay Banichuk
- Subjects
Centrifugal force ,axially moving materials ,axial flow ,Mechanical Engineering ,ideal fluid ,instability analysis ,Mechanics ,Bending of plates ,Instability ,Aerodynamic force ,Physics::Fluid Dynamics ,Classical mechanics ,Buckling ,Reaction ,FSI ,paper web ,buckling ,Axial symmetry ,Displacement (fluid) ,Mathematics - Abstract
The out-of-plane instability of a moving plate, travelling between two rollers with constant velocity, is studied, taking into account the mutual interaction between the buckled plate and the surrounding, axially flowing ideal fluid. Transverse displacement of the buckled plate (assumed cylindrical) is described by an integro-differential equation that includes the centrifugal force, the aerodynamic reaction of the external medium, the vertical projection of membrane tension, and the bending force. The aerodynamic reaction is found analytically as a functional of the displacement. To find the critical divergence velocity of the moving plate and its corresponding buckling mode, an eigenvalue problem and variational principle are derived. Plate divergence, both within a vacuum and when submerged in an external medium, is investigated with the application of analytical and numerical techniques. peerReviewed
- Published
- 2009
6. On a certain characterisation of the semigroup of positive natural numbers with multiplication
- Author
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Edward Tutaj
- Subjects
beurling numbers ,distribution of prime numbers ,cauchy translation equation ,numerical semigroups ,ap´ery sets ,Mathematics ,QA1-939 - Abstract
In this paper we continue our investigation concerning the concept of a liken. This notion has been defined as a sequence of non-negative real numbers, tending to infinity and closed with respect to addition in R. The most important examples of likens are clearly the set of natural numbers N with addition and the set of positive natural numbers N* with multiplication, represented by the sequence (ln(n+1))∞ n=0. The set of all likens can be parameterized by the points of some infinite dimensional, complete metric space. In this space of likens we consider elements up to isomorphism and define properties of likens as such that are isomorphism invariant. The main result of this paper is a theorem characterizing the liken N* of natural numbers with multiplication in the space of all likens.
- Published
- 2022
7. A simpler method to get only the true solutions of cubic and quartic equations using Tschirnhaus transformation
- Author
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Raghavendra G. Kulkarni
- Subjects
tschirnhaus transformation ,true solutions ,cubic equations ,quartic equations ,false solutions ,Mathematics ,QA1-939 - Abstract
The classic method of solving the cubic and the quartic equations using Tschirnhaus transformation yields true as well as false solutions. Recently some papers on this topic are published, in which methods are given to get only the true solutions of cubic and quartic equations. However these methods have some limitations. In this paper the author presents a method of solving cubic and quartic equations using Tschirnhaus transformation, which yields only the true solutions. The proposed method is much simpler than the methods published earlier.
- Published
- 2022
8. Erinnerungen an Eberhard Kirchberg.
- Author
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Cuntz, Joachim and Rørdam, Mikael
- Subjects
C*-algebras ,MATHEMATICIANS ,MATHEMATICS ,UNEMPLOYED people ,CLASSIFICATION - Abstract
Copyright of Mitteilungen der DMV is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2023
- Full Text
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9. Gesamtheft 32(2).
- Subjects
ARTIFICIAL intelligence ,GEOMETRIC connections ,SOCIAL learning ,BLENDED learning ,CONCEPT learning ,MATHEMATICS - Abstract
Copyright of Mitteilungen der DMV is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2024
- Full Text
- View/download PDF
10. Numerische Differenz. Überlegungen zu einer Soziologie des (quantitativen) Vergleichs.
- Author
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Heintz, Bettina
- Subjects
COMMUNICATION strategies ,COMMUNICATION education ,MATHEMATICS ,VISUAL communication ,SOCIAL media ,INFORMATION & communication technologies ,MEDIA studies ,SOCIOLOGY of knowledge - Abstract
Copyright of Zeitschrift für Soziologie is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2010
- Full Text
- View/download PDF
11. Hans Magnus Enzensberger a teorém bezespornosti
- Author
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Nikola Mizerová
- Subjects
h. m. enzensberger ,kurt gödel ,mathematics ,incompleteness theorems ,interdiciplinarity ,paradox ,self-reference ,hommage à gödel ,the sinking of the titanic ,Language and Literature - Abstract
This paper deals with the issue of interdisciplinarity in literature, tracing the mathematical influences — and particularly those of the incompleteness theorems by Kurt Gödel — on the literary works of Hans Magnus Enzensberger. Our attention is focused on Enzensberger’s publications in mathematics, on his poem Hommage à Gödel, and his montage epos The Sinking of the Titanic. This paper submits a new, interdisciplinary interpretation of the poem Hommage à Gödel as a kind of art manifesto, and comes to the conclusion that the reason Enzensberger finds the incompleteness theorems so interesting is that they offer a scientific basis for undecidable problems and paradoxes. He applies Gödel’s theorems to literature, where they enable a creative, playful oscillation between two positions or aspects of an undecidable problem and self-reference in literature.
- Published
- 2020
- Full Text
- View/download PDF
12. Cauchy type functional equations related to some associative rational functions
- Author
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Katarzyna Domańska
- Subjects
functional equation ,rational function ,associativity ,Mathematics ,QA1-939 - Abstract
L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.
- Published
- 2019
13. Ach ja – Forschungsdatenmanagement.
- Author
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Kastner, Lars and Tabelow, Karsten
- Subjects
DATA management ,DATA libraries ,CONSORTIA ,MATHEMATICIANS ,MATHEMATICS - Abstract
Copyright of Mitteilungen der DMV is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2024
- Full Text
- View/download PDF
14. Discrete-time market models from the small investor point of view and the first fundamental-type theorem
- Author
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Marek Karaś and Anna Serwatka
- Subjects
market model ,arbitrage strategy ,arbitrage opportunity ,arbitrege-free market ,Mathematics ,QA1-939 - Abstract
In this paper, we discuss the no-arbitrage condition in a discrete financial market model which does not hold the same interest rate assumptions. Our research was based on, essentially, one of the most important results in mathematical finance, called the Fundamental Theorem of Asset Pricing. For the standard approach a risk-free bank account process is used as numeraire. In those models it is assumed that the interest rates for borrowing and saving money are the same. In our paper we consider the model of a market (with d risky assets), which does not hold the same interest rate assumptions. We introduce two predictable processes for modelling deposits and loans. We propose a new concept of a martingale pair for the market and prove that if there exists a martingale pair for the considered market, then there is no arbitrage opportunity. We also consider special cases in which the existence of a martingale pair is necessary and the sufficient conditions for these markets to be arbitrage free
- Published
- 2017
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- View/download PDF
15. Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative
- Author
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Ioannis K. Argyros and Santhosh George
- Subjects
Multi-step method ,restricted convergence domain ,radius of convergence ,local convergence ,Mathematics ,QA1-939 - Abstract
This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That restricts the applicability of the method. In this paper we extended the applicability of the sixth-order multi-step method by using only hypotheses on the first derivative of the operator involved. Our convergence conditions are weaker than the conditions used in earlier studies. Numerical examples where earlier results cannot be applied to solve equations but our results can be applied are also given in this study.
- Published
- 2017
- Full Text
- View/download PDF
16. Partizipation von Kindern und Jugendlichen bei familiären Migrationsentscheiden.
- Author
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Roulin, Christophe and Jurt, Luzia
- Subjects
MATHEMATICS ,EMIGRATION & immigration - Abstract
Copyright of Discourse: Journal of Childhood & Adolescense Research / Diskurs Kindheits- und Jugendforschung is the property of Verlag Barbara Budrich GmbH and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2014
- Full Text
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17. A COMPOSED MATHEMATICS GRADE OF ACADEMIC KNOWLEDGE, PROJECT WORK AND HOMEWORK: A FUZZY LOGIC APPROACH
- Author
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Daniel Doz, Darjo Felda, and Mara Cotič
- Subjects
mathematics ,project work ,homework ,fuzzy logic ,Education (General) ,L7-991 ,History of education ,LA5-2396 ,Special aspects of education ,LC8-6691 ,Theory and practice of education ,LB5-3640 - Abstract
Student knowledge assessment is a key element of the pedagogical process, as it provides students, parents, and educators with important feedback information on students’ knowledge and skills. Assessment of students’ mathematical knowledge is complex, as several factors are normally included in students’ final grade, and simply calculating the average of students’ achievements may not provide a complete picture of their knowledge. Therefore, in this paper, we aimed to investigate the possibility of using fuzzy logic to assess students’ knowledge and competencies by considering (1) students’ overall academic performance, (2) the quality of students’ project work on a topic from the history of mathematics and (3) the regularity of handing in homework. The study was conducted considering 22 Italian high school students. The results show that students’ academic performance is similar to student grades obtained with fuzzy logic.
- Published
- 2023
- Full Text
- View/download PDF
18. INFINITY AND MATHEMATICAL TRUTH
- Author
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Edo Pivčević
- Subjects
mathematics ,truth ,discreteness ,continuity ,incommensurability ,Social Sciences ,History (General) ,D1-2009 - Abstract
The paper discusses the problem of infinity with a special reference to mathematical truth. The roots of this problem, in a sense, go back to early efforts to provide a rational account of the phenomena of change, and the phenomenon of motion in particular, and, in connection with this, to the attempt to cast light on the complex relationship between continuity and discreteness. If mathematics is to serve as a tool of a rational description of the world, is it possible to construct a mathematical model of phenomenal continuity? This question was raised already by Zeno when the Pythagorean hypothesis of the essential ‘granularity’ of the world began to crumble as a result of the discovery of incommensurable magnitudes. The discovery of incommensurable magnitudes, and along with it the discovery of irrational numbers, produced well-known paradoxes and gave rise to the question to what extent, if at all, mathematics can deliver a ‘metaphysical’ description of the world. In more recent times, the idea of infinity was built into the infinitesimal calculus which became the foundation of the mathematical description of nature, but the metaphysical questions have not gone away. The issues surrounding actual and potential infinity continue to be the subject of intense debates. Whereas some recognise only potential infinities, others, like Georg Cantor, accept actually existent infinities. This is directly connected with the question of mathematical truth, which, according to the Platonist tradition exists as objectively given. The paper argues that the Cantorian transfinite set theory cannot withstand criticism, and that rather than providing a (metaphysical) description of reality mathematics merely offers possible models in terms of which the world might be better or more conveniently interpreted. The so-called ‘mathematical truth’ reduces to the question of ‘correctness’, viz. whether a given mathematical proposition does or does not follow from given premises.
- Published
- 2017
19. News, Tipps und Termine.
- Author
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Vogt, Thomas
- Subjects
- *
SCIENCE & state , *COVID-19 pandemic , *IMPETUS theory , *MATHEMATICS , *SOVEREIGNTY , *GLOBALIZATION , *INTERNET security - Abstract
The article offers briefs related to Deutsche Mathematiker-Vereinigung (DMV). Topics include Science Council published the position paper impetus from the Covid- 19 crisis for further development of the science system in Germany passed to reorientation of science policy; and response capability in policy advice about a lack of sovereignty and Security in the digital space up to strategic challenges in internationalization.
- Published
- 2021
- Full Text
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20. Logbuch Mathematik.
- Author
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Kuessner, Thilo
- Subjects
FOURTEENTH century ,MATHEMATICIANS ,LOGBOOKS ,THEORISTS ,MATHEMATICS - Abstract
Copyright of Mitteilungen der DMV is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2024
- Full Text
- View/download PDF
21. Das PCM-EM Schema in der Anwendung Teil 2 : Drehbuchschreiben für Serien (Entwicklung und Optimierung der Handlung von Episoden, ein erweiterter Ansatz und neue Erkenntnisse)
- Author
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Schneider, Rolf
- Subjects
Kommunikationswissenschaft ,Storyliner ,Medienwissenschaft ,Fernsehserien ,Dramaturgy ,Operations research ,%22">Bellman, Richard Ernest <1920 - 1984> ,Dynamic programming ,Script ,FOS: Mathematics ,Web-Serien ,Drehbuch ,Webserie ,Medientheorie ,DDC 500 / Natural sciences & mathematics ,Storyline-Methode ,Motion picture plays ,Bellman, Richard, 1920-1984 ,Künste ,Mathematik ,ddc:500 ,ddc:700 ,Showrunners (Motion picture) ,Dramaturgie ,Mathematics ,DDC 700 / Arts ,Dynamische Optimierung ,Fernsehserie - Abstract
This paper shall be understood as an interdisciplinary attempt to combine mathematics, especially the field of Operations Research, with the dramatic theory and media science. The present document is a resumption and the next stage of development of the model, published in the preceding research papers with the german title: Das Drama in Analogie zu einem dynamischen Programm. Entwicklung eines Metamodells zur Strukturierung szenischer Handlung. (Doi: 10.18725/OPARU-2410, VTS-71501), deutschen Nationalbibliothek idn: 1016388918 unter http://d-nb.info/1016388918 in 12/16/2009 on the Open Access Repository (former VTS) of the University of Ulm. and its following paper Das PCM-EM Schema in der Anwendung, Drehbuchschreiben für Serien (Theo- retischer Teil und praktischer Ansatz). (Doi: 10.18725/OPARU-7312), deutschen Nationalbibliothek idn: 1212453263 unter https://d-nb.info/1212453263 It makes the attempt to use the model, presented in the mentioned two former papers to finally try to test the usability of the bellman model, exactly the bellman equation adapted to a specialized scorevalue-model, described in the preceding paper. The intention is to get an optimized storyline in screenplay- especially tv- and web-series development following the state of the art methods used in the professional serial screenplay development. It should help people involved in these kind of collaborative work, especially ”showrunner” and ”storyliner” to get their work better organized and make the right decisions about structure and content. This paper shows the development of a more practical model to find the best way deciding, which path in ”plotting”yields the best solution with the minimal bias to the given normative model. It’s also compared with the methodes usually used in ”ploting” in the american story development to show the differences, difficulties, advantages and disadvantages of both models. The comparision is related to the description of this process, described in [2] (page 121 ff)., Die vorliegende Abhandlung ist die Ergänzung und der Abschluß der Arbeit, die unter dem Titel Das PCM-EM Schema in der Anwendung. Drehbuchschreiben für Serien (Theoretischer Teil und praktischer Ansatz). (siehe Abstract) am 16.12.2019 auf dem Open Access Repositorium der Universität Ulm (damals VTS) veröffentlicht wurde. Es ist die Fortführung des beschriebenen Ansatzes, eine Dramenstruktur in Analogie zu einem dynamischen Programm zu betrachten und dabei den Versuch zu unternehmen, eine Optimierungsstrategie hinsichtlich der Beurteilung einer dramatischen Struktur, insbesondere im Bereich des seriellen Erzählens, basierend auf einem, der Bellman’schen Wertiteration unterliegenden Kennzahlenmodell zu entwickeln. Die vorliegenden Publikation zeigt einen verbesserten und praktikableren Ansatz, die in [7] beschriebenen Methoden in der Praxis umzusetzen und orientiert sich dabei an, insbesondere im amerikanischen Raum gängigen Plotentwicklungs-Strategien, dabei wird ein exemplarischer Vergleich zwischen der klassischen Story-Enwicklung (dem Plotting) vorgenommen, wie er dort zum Einsatz kommt (vgl. [2], Seite 121 ff) und dem hier und in den vorhergehenden Publikationen vorgestellten Modell des PCM-EM Schemas.
- Published
- 2022
22. Deductive systems of pseudo-M algebras
- Author
-
Andrzej Walendziak
- Subjects
pseudo-m, pseudo-ci, pseudo-bch, pseudo-bck algebra ,(translation) deductive system ,congruence ,quotient algebra ,Mathematics ,QA1-939 - Abstract
The class of pseudo-M algebras contains pseudo-BCK, pseudo-BCI, pseudo-BCH, pseudo-BE, pseudo-CI algebras and many other algebras of logic. In this paper, the notion of deductive system in a pseudo-M algebra is introduced and its elementary properties are investigated. Closed deductive systems are defined and studied. The homomorphic properties of (closed) deductive systems are provided. The concepts of translation deductive systems and R-congruences in pseudo-M algebras are introduced and investigated. It is shown that there is a bijection between closed translation deductive systems and R-congruences. Finally, the construction of quotient algebra A/D of a pseudo-M algebra A via a translation deductive system D of A is given.
- Published
- 2022
23. On the hat problem, its variations, and their applications
- Author
-
Marcin Piotr Krzywkowski
- Subjects
Mathematics ,QA1-939 - Abstract
The topic of our paper is the hat problem in which each of n players is randomly fitted with a blue or red hat. Then everybody can try to guess simultaneously his own hat color by looking at the hat colors of the other players. The team wins if at least one player guesses his hat color correctly, and no one guesses his hat color wrong; otherwise the team loses. The aim is to maximize the probability of a win. There are known many variations of the hat problem. In this paper we give a comprehensive list of variations considered in the literature. We describe the applications of the hat problem and its variations, and their connections to different areas of science. We give the full bibliography of any papers, books, and electronic publications about the hat problem.
- Published
- 2010
24. Die mathematischen Tagebücher von Helmut Hasse 1923 - 1935 - with an introduction in English
- Author
-
Hasse, Helmut, Lemmermeyer, Franz, and Roquette, Peter
- Subjects
Mathematics ,Literary Collections / Diaries & Journals ,Mathematics / History & Philosophy - Abstract
This book contains the full text of the mathematical notebooks of Helmut Hasse (1898-1979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse‘s mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse‘s discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin‘s conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport.
- Published
- 2012
25. Another description of continuous solutions of a nonlinear functional inequality
- Author
-
Marek Czerni
- Subjects
Mathematics ,QA1-939 - Abstract
The paper gives a general construction of all continuous solutions of inequality (1) fulfilling one of conditions (5) or (26). This paper is a continuation of [3].
- Published
- 2008
26. 'Quem não é geômetra não entre!' Geometria, Filosofia e Platonismo
- Author
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Gabriele Cornelli and Maria Cecília de Miranda N. Coelho
- Subjects
Filosofia ,Matemática ,Racionalidade ,Irracionalidade ,Platonismo ,Philosophy ,Mathematics ,Rationality ,Irrationality ,Platonism ,Philosophy (General) ,B1-5802 - Abstract
O objetivo deste artigo é analisar, a partir dos textos de Platão e de comentadores, a apresentação de argumentos a favor da utilização da matemática e da geometria como propedêutica à aprendizagem da filosofia, bem como investigar as reverberações da ontologia e da epistemologia platônicas nesse programa pedagógico. Pretende-se, ainda, apontar comparativamente similaridades entre crises nos fundamentos da matemática e seu impacto na concepção de racionalidade, tanto no universo grego antigo como na contemporaneidade.The aim of this paper is to analyze, based on Plato's and commentators' texts, the presentation of arguments for the use of mathematics and geometry as propaedeutics to philosophy learning, as well as to investigate the reverberations of platonic ontology and epistemology in this pedagogical program. The paper will also consider similarities between crises in the foundations of mathematics and the impact of these crises on the conception of rationality, both in ancient Greek universe and in contemporary world.
- Published
- 2007
- Full Text
- View/download PDF
27. An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions
- Author
-
Hüseyin Irmak
- Subjects
complex plane ,holomorphic function ,series expansion ,fractional-order calculus ,operators in certain domains ,argument properties ,Mathematics ,QA1-939 - Abstract
The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special results of those applications.
- Published
- 2022
28. EXAMPLES OF MATHEMATICAL PROBLEMS IN PRIMARY AND SECONDARY EDUCATION THAT INCLUDE THE ACTUAL CALENDAR YEAR
- Author
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Dušan Simjanović, Branislav Randjelović, Nenad Vesić, and Aleksandra Penjišević
- Subjects
mathematics ,student ,interesting mathematical problems ,teaching mathematics ,motivation ,Education (General) ,L7-991 ,History of education ,LA5-2396 ,Special aspects of education ,LC8-6691 ,Theory and practice of education ,LB5-3640 - Abstract
It is widely believed that math classes in primary school belong into the category of least favorite classes. Entire teams of psychologists, educators and mathematicians have studied the student aversion (and, to a certain extent, parent antipathy) to math classes, but they have also studied methods and ways to overcome this problem. They have tried to find a way to improve students’ activities, to make them more engaged in classes, and to increase their motivation. One of the opinions is that the student success requires their strong will, persistence, diligence and perseverance. Certainly, the competence, motivation and consistency of teachers, wholead them to the world of knowledge, have a great influence. One of the methods of achieving a positive influence of teachers, in the domain of increasing interest in mathematics and reducing aversion to it, is the use of interesting mathematical problems, in which the numerical value of the current calendar year or even the current date appears. The aim of this paper is to point out how the motivation of primary school students to adopt mathematical content can be increased. With concrete examples of interesting algebra problems, which tickle students’ fancy and make them think, we show how some lessons can be learned.
- Published
- 2022
- Full Text
- View/download PDF
29. Theology and Mathematics in Plato’s Later Ethics
- Author
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Vilius Bartninkas
- Subjects
Plato ,Timaeus ,mathematics ,theology ,cosmic gods ,Literature (General) ,PN1-6790 ,Slavic languages. Baltic languages. Albanian languages ,PG1-9665 - Abstract
In Plato’s later ethics, the key challenge to one’s personal progress is unorderly thoughts and motions of soul. This disorder should be corrected by recognising and repeating the orderly thoughts and motions of cosmic gods. This paper examines the theoretical assumptions of Plato’s later ethics. A closer analysis of the Timaeus reveals a peculiar conception of mathematics, according to which numbers and their relations not only reveal facts about the reality, but also express values and ideals. By learning mathematics human beings come to know the everyday ethical life of cosmic gods and become like them.
- Published
- 2022
- Full Text
- View/download PDF
30. Dealing professionally with tasks in inclusive math classes – Findings of an interview study with secondary school teachers
- Author
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Häsel-Weide, Uta, Seitz, Simone, Wallner, Melina, Wilke, Yannik, and Heckmann, Lara
- Subjects
Mathematikdidaktik ,Aufgabenstellung ,Lehramtsstudiengang ,Lower secondary education ,Professionalization ,Sekundarstufe ,Erziehung, Schul- und Bildungswesen ,Fachdidaktik ,Mathematics lessons ,Lower secondary ,Fachdidaktik/mathematisch-naturwissenschaftliche Fächer ,Specialized didactics ,Education ,Secondary education lower level ,ddc:370 ,Aufgaben ,Empirische Bildungsforschung ,Task ,FOS: Mathematics ,Interview ,L7-991 ,Lehrer ,Sekundarstufe I ,Professionalisierung ,Subject didactics ,Inclusion ,Women Teachers ,Dokumentarische Methode ,Teacher ,Studie ,inklusive Didaktik ,Education (General) ,Preservice Teacher Education ,Qualitative interview ,Task definition ,Female teacher ,Didactics of mathematics ,Lehrerin ,Lower level secondary education ,Aufgabe ,Mathematikunterricht ,Inklusion ,Mathematics ,Qualitatives Interview ,Teaching of mathematics ,Task setting - Abstract
Der Beitrag legt Befunde einer interdisziplinär angelegten qualitativen Studie mit angehenden und erfahrenen Lehrpersonen dar, wobei im vorliegenden Beitrag spezifisch die Expertise in Bezug zum Gegenstand Aufgaben fokussiert wird. Um diese zugänglich zu machen, wurden in unserer Studie Expert*innen und Noviz*innen mit erzählgenerierenden Interviews befragt, die in einer Triangulation von qualitativer Inhaltsanalyse und dokumentarischer Methode ausgewertet wurden. Die Ergebnisse zum Interviewgegenstand Aufgaben zeichnen ein heterogenes Bild der Orientierungen, die vor allem die Spannungsfelder inklusionspädagogisch-fachlichen Handelns unter sekundarstufenspezifischen strukturellen Rahmenbedingungen sichtbar machen. Aus den Erkenntnissen werden Folgerungen für die universitäre Bildung abgeleitet. (DIPF/Orig.), The paper presents the findings of an interdisciplinary qualitative interview study with prospective and experienced teachers, whereby the focus of the present paper is on the expertise in relation to the subject tasks. In order to make these accessible, our study questioned experts and novices with narrative-generating interviews, which were evaluated in a triangulation of qualitative content analysis and documentary method. The results of the interviews about the subject tasks draw a heterogeneous picture. This concerns both the explicitness of the interweaving and the visible orientations towards inclusive teaching, which make the areas of tension between pedagogical and professional action under the structural, administrative framework conditions visible. Conclusions for university teaching with prospective teachers will be derived from the findings.
- Published
- 2021
- Full Text
- View/download PDF
31. Examples of non connective C*-algebras
- Author
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Anna Gąsior and Andrzej Szczepański
- Subjects
connective c*-algebras ,crystallographic groups ,combinatorial and generalized hantzsche-wendt groups ,Mathematics ,QA1-939 - Abstract
This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.
- Published
- 2021
32. Mathematicians and Mathematics at Prague University during the Second Half of the 18th Century
- Author
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Georg Schuppener
- Subjects
mathematics ,jesuits ,astronomy ,enlightenment ,state reforms ,Philosophy (General) ,B1-5802 - Abstract
The paper describes the situation of teaching mathematics and its position at Prague University in the second half of the 18th century. In order to be able to adequately present the specific changes during this period, I first explain the development of the role of mathematics as a modern science among the Prague Jesuits in the two centuries before. It is pointed out that the Jesuits initially assigned only a very minor importance to mathematics. From the middle of the 17th century, however, there was significant development. In the middle of the 18th century, under the influence of the Enlightenment, state reforms set in, which also significantly influenced the structure and content of education at Prague University. I describe the consequences of these reforms – that also led to the dissolution of the Jesuit Order – for mathematics. Finally, I deal with the life and work of mathematicians and astronomers at Prague University in the second half of the 18th century.
- Published
- 2021
- Full Text
- View/download PDF
33. Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions
- Author
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Farid Nouioua and Bilal Basti
- Subjects
fractional diffusion ,generalized self-similar solution ,blow-up ,global existence ,uniqueness ,Mathematics ,QA1-939 - Abstract
This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.
- Published
- 2021
34. Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative
- Author
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Santhosh George and Ioannis K. Argyros
- Subjects
Weak convergence ,Normal convergence ,lcsh:Mathematics ,Mathematical analysis ,Fréchet derivative ,General Medicine ,restricted convergence domain ,lcsh:QA1-939 ,Local convergence ,Multi-step method ,Applied mathematics ,local convergence ,Convergence tests ,radius of convergence ,Divided differences ,Modes of convergence ,Compact convergence ,Mathematics - Abstract
This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That restricts the applicability of the method. In this paper we extended the applicability of the sixth-order multi-step method by using only hypotheses on the first derivative of the operator involved. Our convergence conditions are weaker than the conditions used in earlier studies. Numerical examples where earlier results cannot be applied to solve equations but our results can be applied are also given in this study.
- Published
- 2017
35. Projections of measures with small supports
- Author
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Bilel Selmi
- Subjects
multifractal analysis ,orthogonal projection ,s-ahlfors regular ,Mathematics ,QA1-939 - Abstract
In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
- Published
- 2021
36. Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
- Author
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Said Baghdad
- Subjects
quadratic integral equations of fractional order ,Mathematics ,QA1-939 - Abstract
The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.
- Published
- 2020
37. Polyfunctionality and distribution of reflexive verbs in Latvian
- Author
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Ilze Lokmane and Andra Kalnača
- Subjects
Linguistics and Language ,evaluation ,object verbs ,impersonal verbs ,Object (grammar) ,subject verbs ,aspect ,Verb ,Modal verb ,Language and Linguistics ,Linguistics ,Reflexive pronoun ,Reflexive verb ,lcsh:Philology. Linguistics ,lcsh:P1-1091 ,Subject (grammar) ,reflexive verbs ,Polysemy ,Latvian ,syntax ,Sentence ,Mathematics - Abstract
The aim of the current paper is to analyze Latvian reflexive verbs from the point of view of their polyfunctionality and distributon.The polysemy of the reflexive verbs is not usually disucussed in the connection with its distribution pattern in the sentence either. This can be partly explianed by the fact that the reflexive verb can have some non-standard language meanings, which following the established practice of the traditional grammars and sometimes even dictionaries, were not depicted in the language system description either. So the current paper is an attempt to analyze the polyfunctionality of reflexive verbs in connection with their semantic and syntactic functions, without judging the language use from the normative point of view.The classification of Latvian reflexive verbs is based on the relationship between semantic roles and syntactic structure according to the principles devised by Palmer (1994) and Saeed (1997).One and the same reflexive verb may have different lexical meanings with a different distribution for each of the meanings. One and the same verb can belong to different subclasses of the subject and object (or impersonal) verbs.Some reflexive verbs have evaluative or aspectual (iterative) meanings. The evaluative meanings usually are manifested by a positive or negative assessment of the event (the context can be enhanced by the adverbs good or bad) and the consequences while the aspectual meaning is manifested by the intensity of the action, that is – iterativity.The study confirms the assumption that reflexive verbs are independent lexemes as opposed to non-reflexive verb forms. Each reflexive verb has its distinct semantic system and distribution which is different from polysemy of non-reflexive verbs and their distribution. The system of reflexive verbs in Latvian is open where new meanings and even new reflexive verbs arise particularly in colloquial use.
- Published
- 2017
38. Gesamtheft 29(3).
- Subjects
MATHEMATICIANS ,TOPOLOGY ,MATHEMATICS ,NAZIS ,JEWISH scientists ,NATIONALISM ,SOCIAL change - Abstract
The article presents an issue of the periodical related to Deutsche Mathematiker-Vereinigung. Topics include attempts of Felix Hausdorff, a German mathematician, founder of modern set theory Topology described how to save life from the anti-Semitic threat of the Nazis; and disenfranchisement of Jewish scientists after in material and in general social and cultural terms of modern set-theoretic topology, serve mathematicians as an illustration of introductory remarks and rise of nationalism.
- Published
- 2021
- Full Text
- View/download PDF
39. Mathe studiert – und dann?
- Author
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Vaillant, Kristina and Staude, Benjamin
- Subjects
MATHEMATICIANS ,MATHEMATICS education ,BRAIN research ,MATHEMATICS ,PHYSICISTS ,MATHEMATICAL research ,BIOLOGICAL research - Abstract
An interview with Benjamin Staude, a German mathematician, is presented. Topics include studying mathematics to doing a doctorate in brain research to founding a start-up with substantive mathematics; and involved in working with a physicist who is an insanely theoretical superstructure with mathematical service provider in a biological research group as mathematician in neuroscience.
- Published
- 2021
- Full Text
- View/download PDF
40. Writing disciplines: producing disciplinary knowledge in the context of contemporary higher education
- Author
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Karin Tusting and David Barton
- Subjects
lcsh:Language and Literature ,lcsh:Philology. Linguistics ,literacy practices ,History ,lcsh:P1-1091 ,higher education ,academic wriiting ,lcsh:P ,Mathematics ,managerialism - Abstract
This paper addresses academic disciplinary writing practices, and how these are affected by changes in the landscape of Higher Education in the UK. After exploring the definition and understanding of the notion of “discipline”, the paper presents research from an ESRC-funded research project studying academics’ everyday writing practices, working closely with academics across different disciplines and different kinds of higher education institutions. The changing context of Higher Education in the UK is presented, in particular the emergence of new kinds of managerial practices which shape and co-ordinate the everyday writing work of academics. The paper shows that while some disciplines, such as History and Pure Mathematics, are associated with clearly-defined writing practices, others are more diverse. It discusses how managerial practices, particularly those driven by centralised national research evaluations, affect different disciplines in different ways.
- Published
- 2016
41. Maxime Bôcher's concept of complementary philosophy of mathematics
- Author
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Jerzy Dadaczyński and Robert Piechowicz
- Subjects
philosophy ,mathematics ,maxim bôcher ,metamathematics ,Philosophy (General) ,B1-5802 - Abstract
The main purpose of the present paper is to demonstrate that as early as 1904 pre-eminent American mathematician Maxime Bôcher was an adherent to the presently relevant argument of reasonableness, or even necessity of parallel development of two philosophical methods of reflection on mathematics, so that its essence could be more fully comprehended. The goal of the research gives rise to the question: what two types of philosophical deliberation on mathematics were proposed by Bôcher?
- Published
- 2020
42. Approximate multi-Jensen-cubic mappings and a fixed point theorem
- Author
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Elahe Ramzanpour and Abasalt Bodaghi
- Subjects
banach space ,multi-jensen-cubic functional equation ,hyers-ulam stability ,Mathematics ,QA1-939 - Abstract
In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.
- Published
- 2020
43. Maximal functions for Weinstein operator
- Author
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Chokri Abdelkefi
- Subjects
weinstein operator ,weinstein transform ,weinstein translation operators ,maximal functions ,Mathematics ,QA1-939 - Abstract
In the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius ε centered at 0 on the upper half space Rd-1× ]0,+∞[. Second, we prove weak-type L1-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain the Lp-boundedness of this operator for 1 < p ≤+∞. As application, we define a large class of operators such that each operator of this class satisfies these Lp-inequalities. In particular, the maximal operator associated respectively with the Weinstein heat semigroup and the Weinstein-Poisson semigroup belong to this class.
- Published
- 2020
44. A new result on the quasi power increasing sequences
- Author
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Hikmet Seyhan Özarslan
- Subjects
Mathematics ,QA1-939 - Abstract
This paper presents a theorem dealing with absolute matrix summability of infinite series. This theorem has been proved taking quasi β-power increasing sequence instead of almost increasing sequence.
- Published
- 2020
45. A subordination results for a class of analytic functions defined by q-differential operator
- Author
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Basem Aref Frasin and Gangadharan Murugusundaramoorthy
- Subjects
analytic functions ,univalent functions ,subordinating factor sequence ,q-difference operator ,hadamard product (or convolution) ,Mathematics ,QA1-939 - Abstract
In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.
- Published
- 2020
46. Nearly irreducibility of polynomials and the Newton diagrams
- Author
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Mateusz Masternak
- Subjects
irreducibility of polynomials ,newton diagram ,newton polygon ,plane algebraic curve ,Mathematics ,QA1-939 - Abstract
Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
- Published
- 2020
47. The p-semisimple property for some generalizations of BCI algebras and its applications
- Author
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Lidia Obojska and Andrzej Walendziak
- Subjects
rm/trm/*rm/rm**/*arm/bci/bch/bz/pre-bz/pre-bci algebras ,p-semisimplicity ,mereology ,antisymmetry ,Mathematics ,QA1-939 - Abstract
This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.
- Published
- 2020
48. „In der Mathematik ist ein Streit mit Sicherheit zu entscheiden" Perspektiven einer Soziologie der Mathematik.
- Author
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Heintz, Bettina
- Subjects
MATHEMATICS ,OBJECTIVITY ,EMPIRICAL research ,QUANTITATIVE research ,METHODOLOGY ,MASS media ,COMMUNICATION ,SOCIOLOGY - Abstract
Copyright of Zeitschrift für Soziologie is the property of De Gruyter and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2000
- Full Text
- View/download PDF
49. Dlaczego warto odróżniać sufiks od końcówki? (na marginesie artykułu Marka Stachowskiego 'Terminy 'sufiks' i 'końcówka' w polskiej terminologii gramatyczne j')
- Author
-
Wanda Fijałkowska
- Subjects
Linguistics and Language ,Language. Linguistic theory. Comparative grammar ,P101-410 ,Interpretation (logic) ,sufiks ,Communication ,Lexicon ,Syntax ,Language and Linguistics ,Linguistics ,końcówka ,fleksja ,Meaning (philosophy of language) ,słowotwórstwo ,Inflection ,Suffix ,Mathematics ,derywacja - Abstract
Why is the Distinction between Suffix and Desinence Worth Preserving? (a reply to M. Stachowski’s paper The terms “suffix” and “desinence” among Polish grammatical terms)This paper is an answer to M. Stachowski’s article The terms “suffix” and “desinence” among Polish grammatical terms; it presents a different point of view. It points out that the terms mentioned in the title are not only used separately within the sub-disciplines of morphology, i.e. in research concerning inflection and word-formation, but also, due to their functions, make possible the distinction between lexicon and syntax, as well as the structuring of the lexicon. They also play a role in glottodidactics. An analysis of some derivatives, coupled with an interpretation of the terms extracted from linguistic compendia concerning Polish and French, shows that the distinction between a suffix and a desinence is both simple and useful. The attributes of a suffix are: 1) changing the meaning of the base; 2) absence of changes during inflection; 3) position before the ending (desinence). The second of the analysed terms does not possess these properties.
- Published
- 2019
50. Wirkungen frühkindlicher Bildung, Betreuung und Erziehung auf Lernverläufe in Mathematik und Deutsch während der Pflichtschulzeit.
- Author
-
Tomasik, Martin J., Helbling, Laura A., and Moser, Urs
- Subjects
EARLY childhood education ,DATABASES ,CHILD care ,LEARNING - Abstract
Copyright of Zeitschrift für Pädagogik is the property of Julius Beltz GmbH & Co. KG Beltz Juventa and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2021
- Full Text
- View/download PDF
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