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  1. Colombeau Solutions to Einstein Field Equations.Gravitational Singularities.Jaykov Foukzon - manuscript
    In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this. Remark 1.1.1.Such a multiplication of distributions has been a long time mistakenly believed to be impossible because of Schwartz’ impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and (...)
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  2. A Note on Incomplete Theory.Han Geurdes - manuscript
    In the paper it is demonstrated that Bell's theorem is unproveable.
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  3. Complementary Inferences on Theoretical Physics and Mathematics.Mesut Kavak - manuscript
    I have been working for a long time about basic laws which direct existence, and some mathematical problems which are waited for a solution. I can count myself lucky, that I could make some important inferences during this time, and I published them in a few papers partially as some propositions. This work aimed to explain and discuss these inferences all together by relating them one another by some extra additions, corrections and explanations being physical phenomena are prior. There are (...)
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  4. Science of Knowing: Mathematics.Venkata Rayudu Posina - manuscript
    The 'Science of Knowing: Mathematics' textbook is the first book to put forward and substantiate the thesis that the mathematical understanding of mathematics, as exemplified in F. William Lawvere's Functorial Semantics, constitutes the science of knowing i.e. cognitive science.
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  5. Generalizing the Algebra of Physical Quantities.Mark Sharlow - manuscript
    In this paper, I define and study an abstract algebraic structure, the dimensive algebra, which embodies the most general features of the algebra of dimensional physical quantities. I prove some elementary results about dimensive algebras and suggest some directions for future work.
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  6. Nature's Information and Harmonic Proportion.Michael A. Sherbon - manuscript
    The history of science is polarized by debates over Plato and Aristotle’s holism versus the atomism of Democritus and others. This includes the complementarity of continuous and discrete, one and the many, waves and particles, and analog or digital views of reality. The three-fold method of the Pythagorean paradigm of unity, duality, and harmony enables the calculation of fundamental physical constants required by the forces of nature in the formation of matter; thereby demonstrating Plato’s archetypal viewpoint.
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  7. Through Points on 3 and 2 Faces of a Triangular Pyramid.Goel Piyush - September,2016 - Edupediapublications 3 (13):1-3.
    This came into existence when one day (10 -12 years back), all of a sudden I draw a line and divided the line into same segment and draw one more line above the previous line and mark the points on the both lines and magically I got a triangle (while attach all the points with each other), with at point 1 no of points 1 at 2 no of points 3 and at 3 no of points 5. Now an idea (...)
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  8. Symmetry of Digit "2" In Squaring.Goel Piyush - July2016 - Edupediapublications 3 (11):1-3.
    Motivation -/- God is great, whatever (Air, Water, Earth, Fire & Space) we have it is just because of a Power, which governs the whole universe and more than this Power, it has created human beings, and what we have got or did not get yet, trying to get. The Method, The Principle, The Knowledge or more by which we get or prove in front of World People, basically it is called Science, who GET it, are called Scientists, Mathematicians, Inventors (...)
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  9. The Well-Ordered Society Under Crisis: A Formal Analysis of Public Reason Vs. Convergence Discourse.Hun Chung - forthcoming - American Journal of Political Science:1-20.
    A well-ordered society faces a crisis whenever a sufficient number of noncompliers enter into the political system. This has the potential to destabilize liberal democratic political order. This article provides a formal analysis of two competing solutions to the problem of political stability offered in the public reason liberalism literature—namely, using public reason or using convergence discourse to restore liberal democratic political order in the well-ordered society. The formal analyses offered in this article show that using public reason fails completely, (...)
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  10. A Philosophical Path from Königsberg to Kyoto.Rossella Lupacchini - forthcoming - Sophia:1-18.
    ‘Mathematics is the science of the infinite, its goal the symbolic comprehension of the infinite with human, that is finite, means.’ Along this line, in The Open World, Hermann Weyl contrasted the desire to make the infinite accessible through finite processes, which underlies any theoretical investigation of reality, with the intuitive feeling for the infinite ‘peculiar to the Orient,’ which remains ‘indifferent to the concrete manifold of reality.’ But a critical analysis may acknowledge a valuable dialectical opposition. Struggling to spell (...)
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  11. The Nature of Scientific Philosophy.Yaroslav Shramko - forthcoming - Logic and Logical Philosophy:1.
    The goal of this paper is to explain the nature of philosophy as a distinct science with its own subject-matter. This is achieved through a comparative analysis of mathematical and philosophical knowledge that reveals a profound similarity between mathematics and philosophy as mutually complementary sciences exploring the field of abstract entities that can be comprehended only by purely a priori theoretical inquiry. By considering this complementarity, a general definition of philosophy can be obtained by dualizing the traditional Aristotelian definition of (...)
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  12. Weyl Reexamined: “Das Kontinuum” 100 Years Later.Arnon Avron - 2020 - Bulletin of Symbolic Logic 26 (1):26-79.
    Hermann Weyl was one of the greatest mathematicians of the 20th century, with contributions to many branches of mathematics and physics. In 1918 he wrote a famous book, “Das Kontinuum”, on the foundations of mathematics. In that book he described mathematical analysis as a ‘house built on sand’, and tried to ‘replace this shifting foundation with pillars of enduring strength’. In this paper we reexamine and explain the philosophical and mathematical ideas that underly Weyl’s system in “Das Kontinuum”, and show (...)
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  13. The Number of Bricks in a Ziggurat.Ben Blumson & Jarinah Jabbar - 2020 - Mathematics Magazine 93 (3):226-227.
    The number of bricks in a ziggurat is a sum of consecutive squares.
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  14. Doing the Math: Comparing Ontario and Singapore Mathematics Curriculum at the Primary Level.Dieu Trang Hoang - 2020 - Dissertation, Brock University
    This paper sought to investigate the fundamental differences in mathematics education through a comparison of curriculum of 2 countries—Singapore and Canada (as represented by Ontario)—in order to discover what the Ontario education system may learn from Singapore in terms of mathematics education. Mathematics curriculum were collected for Grades 1 to 8 for Ontario, and the equivalent in Singapore. The 2 curriculums were textually analyzed based on both the original and the revised Bloom’s taxonomy to expose their foci. The difference in (...)
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  15. A Reconstruction of Steel’s Multiverse Project.Penelope Maddy & Toby Meadows - 2020 - Bulletin of Symbolic Logic 26 (2):118-169.
    This paper reconstructs Steel’s multiverse project in his ‘Gödel’s program’ (Steel [2014]), first by comparing it to those of Hamkins [2012] and Woodin [2011], then by detailed analysis what’s presented in Steel’s brief text. In particular, we reconstruct his notion of a ‘natural’ theory, describe his multiverse axioms and his translation function, and assess the resulting status of the Continuum Hypothesis. In the end, we reconceptualize the defect that Steel thinks CH might suffer from and isolate what it would take (...)
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  16. Historical Foundations of Physics & Applied Technology as Dynamic Frameworks in Pre-Service STEM.Raffaele Pisano, Philippe Vincent, Kosta Dolenc & Mateja Ploj Virtič - 2020 - Foundations of Science 1 (1):1-30.
    In recent decades, the development of sciences and technologies had a significant impact in society. This impact has been object of analysis from several standpoints, i.e., scientific, communication, historical and anthropological. Consequently, serious changes were required by the society. One of these has been the emerging relationship science in society and its foundations of applied sciences. A related foundational challenging is the educational process, which was and still is an unlimited challenge for teachers and professors: i.e., levels of understanding, curricula, (...)
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  17. Analisis hasil studi nasional dan internasional.Amin Suyito - 2020 - BAHAN AJAR PERKULIAHAN 2020 (2):1-34.
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  18. Rheological Properties of Polyvinylacetate: Compliance and Relaxation Spectrum.Mahmoud Abdel-Halim Abdel-Goad - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):8-10.
    Abstract: The dynamic viscoelastic properties of Polyvinylacetate with molecular weight 83000g/mol (PVA 83K ) were determined by using a Rheometer operated in the dynamic mode and 8 mm parallel plate over a wide range of temperature as a function of frequency. The measurements were performed successively in the parallel plate geometry using 8 mm plate instead of 25 mm. The glass plateau regime is clearly observed because we could measure PVA 83K sample successively under its glass temperature. The rheological properties (...)
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  19. Languages, Machines, and Classical Computation.Luis M. Augusto - 2019 - London, UK: College Publications.
    2nd ed. A circumscription of the classical theory of computation building up from the Chomsky hierarchy.
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  20. Concerning Formal Concept Analysis on Complete Residuated Lattices.Abner de Mattos Brito - 2019 - Dissertation, University of Campinas, Brazil
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  21. Concerning Formal Concept Analysis on Complete Residuated Lattices.Abner de Mattos Brito - 2019 - Dissertation, University of Campinas, Brazil
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  22. SolarView: Low Distortion Radial Embeddings with a Focus.Thom Castermans, Kevin Verbeek, Bettina Speckmann, Michel Westenberg, Rob Koopman, Shenghui Wang, Hein Van Den Berg & Arianna Betti - 2019 - IEEE Transactions on Visualization and Computer Graphics 25 (10):2969-2982.
    We propose a novel type of low distortion radial embedding which focuses on one specific entity and its closest neighbors. Our embedding preserves near-exact distances to the focus entity and aims to minimize distortion between the other entities. We present an interactive exploration tool SolarView which places the focus entity at the center of a "solar system" and embeds its neighbors guided by concentric circles. SolarView provides an implementation of our novel embedding and several state-of-the-art dimensionality reduction and embedding techniques, (...)
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  23. Artin's Characters Table of the Group (Q2n×D3) When N=P1.P_2….P_n , and P_1,P_2,…,PN Are Primes Number.Naba Hasoon Jaber - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (4):1-7.
    Abstract: The main purpose of this paper is to find Artin's characters table of the group (Q2n×D3)when n=p_1.p_2….p_n,and p_1,p_2,…,p_n are primes number, which is denoted by Ar(Q2n×D3) where Q2m is denoted to Quaternion group and D3 is the Dihedral group of order 6 .
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  24. Methods of Solving Financial Problems of Universities.M. Karimov & B. Kadirov - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):29-30.
    Annotation: This article shows the main problems and financial decadences of universities. And also, some effective solutions are provided.
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  25. Radioactivity of Molluscs, Aqueous Sediments and Water in the Jambay Canal of Uzbekistan.Shakhboz Khasanov & Temur Mavlonov - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):31-33.
    Abstract: The research findings summarized in the paper include data on the radioecological conditions of the canal located in Jambay region of Uzbekistan. The focus of the study was on the determination of accumulation of radionuclides in molluscs depending on the content of radionuclides in aqueous sediments and water by the help of the scintillation gamma spectrometry method.
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  26. Ground and Explanation in Mathematics.Marc Lange - 2019 - Philosophers' Imprint 19.
    This paper explores whether there is any relation between mathematical proofs that specify the grounds of the theorem being proved and mathematical proofs that explain why the theorem obtains. The paper argues that a mathematical fact’s grounds do not, simply by virtue of grounding it, thereby explain why that fact obtains. It argues that oftentimes, a proof specifying a mathematical fact’s grounds fails to explain why that fact obtains whereas any explanation of the fact does not specify its ground. The (...)
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  27. Hyperbolic Functions of Al-Tememe Acceleration Methods for Improving the Values of Integrations Numerically of First Kind.Ali Hassan Mohammed & Asmahan Abed Yasir - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):11-15.
    Abstract: The main aim of this work is to introduce acceleration methods called a hyperbolic acceleration methods which are of series of numerated methods. In general, these methods named as AL-Tememe’s acceleration methods of first kind discovered by (Ali Hassan Mohammed). These are very beneficial to acceleration the numerical results for definite integrations with continuous integrands which are of 2nd order main error, with respect to the accuracy and the number of the used subintervals and the fasting obtaining results. Especially, (...)
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  28. Assessment of Contribution of the Financial Inclusion on Rural Households Livelihood in Tanzania: A Case of Iringa District.Jailos Mtindyak - 2019 - IJAAFMR 3 (4):10-17.
    Abstract: The study sought to establish Tanzanian`s financial inclusion level, its determinant and whether the country`s financial inclusion levels have influence on the access to basic income, food, heath, employment and education service. Among the major determinants of financial inclusion are income, financial literacy and the geographical presence of financial institutions. With regard to the link between financial inclusion and livelihood indicators, it is found that greater financial inclusion promotes access to basic income, food, health and education for households for (...)
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  29. The Financial-Economic Problems and Their Solutions of Higher Education Around the World.Karimov Muzaffar, Kadirov Botirjon, Omonboeva Muxlisa & Xilola Yuldasheva - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):5-7.
    Abstract: This article is dedicated to prevent the challenges that are occurring in the sphere of education. And also, some effective solutions are provided.
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  30. The Multiplicity of Law Enforcement Agencies and the State of Law and Order in Nigeria: A Case of Too Many Cooks?Mbanefo Odum - 2019 - IJAAFMR 3 (4):1-7.
    Abstract: Efficient law enforcement depends on the quality and outlook of the institutions and personnel saddled with this responsibility. There are several agencies in Nigeria created for the purpose of law enforcement. Despite the multiplicity of these agencies, however, the country is still far from being a reflection of a society where security and orderliness are being maintained. The essence of this paper is to explore the law-enforcement terrain of the country with a view to ascertaining the state of affairs (...)
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  31. Deification of Hero: An Avenue for Realizing National Unity.Uche Janet Ogbalu - 2019 - International Journal of Academic Pedagogical Research (IJAPR) 3 (1):33-39.
    Abstract: When in 1846, Euhemerus, a Greek philosopher propounded a theory that all Greek gods were once men who were deified in their life time and worshipped as a god after their death. The Greeks never take the assertion kindly. Euphemerus was accused of sacrilege. Later findings by anthropologists proved Euphemerus correct. Heroes and deification of heroes are found in different parts of the world. The writer is aware that deification of a hero is a symbiotic venture. This means that (...)
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  32. Golden Ratio Geometry and the Fine-Structure Constant.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):362 -368.
    The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the force of gravitation.
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  33. Fine-Structure Constant From Sommerfeld to Feynman.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):335-343.
    The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. The (...)
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  34. Active Techniques Implemented in an Introductory Signal Processing Course to Help Students Achieve Higher Levels of Learning.Saharnaz Baghdadchi, Rebecca Hardesty, Paul Andreas Hadjipieris & Jace Hargis - 2018 - Papers on Engineering Education Repository.
    Holding students to high standards and assessing, measuring and evaluating their learning with challenging, authentic problems in the midterm and final exams is the goal of the professors who teach core signal processing concepts. However, the heavy reliance of these subjects on mathematics makes it difficult for students to genuinely grasp the concepts and relate to a conceptual framework. Specifically, analyzing the signals and the functionality of systems in Fourier domain; separating the system level analysis from signal level analysis; and (...)
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  35. The 'Chemical Mechanics' of the Periodic Table.Arnout Ceulemans & Pieter Thyssen - 2018 - In Eric Scerri & Guillermo Restrepo (eds.), Mendeleev to Oganesson: A Multidisciplinary Perspective on the Periodic Table. New York, NY, USA: Oxford University Press. pp. 104-121.
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  36. Numerical Infinities Applied for Studying Riemann Series Theorem and Ramanujan Summation.Yaroslav Sergeyev - 2018 - In AIP Conference Proceedings 1978. AIP. pp. 020004.
    A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...)
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  37. Physical Mathematics and The Fine-Structure Constant.Michael A. Sherbon - 2018 - Journal of Advances in Physics 14 (3):5758-64.
    Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to (...)
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  38. Fine-Structure Constant From Golden Ratio Geometry.Michael A. Sherbon - 2018 - International Journal of Mathematics and Physical Sciences Research 5 (2):89-100.
    After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated with the golden (...)
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  39. Crisis Behavior in Autism Spectrum Disorders: A Self-Organized Criticality Approach.Lucio Tonello, Luca Giacobbi, Alberto Pettenon, Alessandro Scuotto, Massimo Cocchi, Fabio Gabrielli & Glenda Cappello - 2018 - Complexity 2018:1-7.
    The Autism Spectrum Disorder (ASD) represents a set of life-long disorders. In particular, subjects with ASD can display momentary behaviors of acute agitation and aggressiveness called crisis behaviors. These events are problematic for the subject and care providers but little is known about their occurrence, namely, possible relations among intensity, frequency, and duration. A group of ASD subjects (n=33) has been observed for 12 months reporting data on each crisis ( n = 1137 crises). Statistical analysis did not find significant (...)
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  40. Mathematische Begriffe in Beispielen und Bildern.Jörg Neunhäuserer - 2017 - Heidelberg: Springer Spektrum.
    Dieses Buch ist ein wichtiges studienbegleitendes Hilfsmittel für alle die Mathematik-Lehrveranstaltungen besuchen. Die Lektüre dieses Buch ermöglicht Ihnen, begriffliche Sicherheit für Mathematik-Vorlesungen und Prüfungen aufzubauen. Die Lektüre jedes Kapitel dieses Buches erlaubt Ihnen, einen Überblick über die Begriffe eines Teilgebiets der Mathematik zu erhalten und diese Begriffe nachhaltig zu erfassen. Wenn Sie als Student einen mathematischen Begriff nicht richtig verstehen oder sich an seine Definition nicht erinnern, können Sie in diesem Buch nachschlagen und erhalten durch paradigmatische Beispiele und Bilder ein (...)
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  41. Two Criticisms Against Mathematical Realism.Seungbae Park - 2017 - Diametros 52:96-106.
    Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an (...)
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  42. Functorial Semantics for the Advancement of the Science of Cognition.Venkata Rayudu Posina, Dhanjoo N. Ghista & Sisir Roy - 2017 - Mind and Matter 15 (2):161-184.
    Cognition involves physical stimulation, neural coding, mental conception, and conscious perception. Beyond the neural coding of physical stimuli, it is not clear how exactly these component processes constitute cognition. Within mathematical sciences, category theory provides tools such as category, functor, and adjointness, which are indispensable in the explication of the mathematical calculations involved in acquiring mathematical knowledge. More speci cally, functorial semantics, in showing that theories and models can be construed as categories and functors, respectively, and in establishing the adjointness (...)
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  43. The Category of Mereotopology and Its Ontological Consequences.Saikeerthi Rachavelpula - 2017 - University of Chicago Mathematics Research Program 2017.
    We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, stating ontological consequences throughout. We consider entities such as boundaries utilizing Brentano’s thesis and holes utilizing homotopy theory with a rigorous proof of Hausdorff Spaces satisfying [GEM]TC axioms. Lastly, we mention further areas of study in this category.
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  44. Fundamental Physics and the Fine-Structure Constant.Michael A. Sherbon - 2017 - International Journal of Physical Research 5 (2):46-48.
    From the exponential function of Euler’s equation to the geometry of a fundamental form, a calculation of the fine-structure constant and its relationship to the proton-electron mass ratio is given. Equations are found for the fundamental constants of the four forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Symmetry principles are then associated with traditional physical measures.
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  45. Shattered Symmetry: Group Theory From the Eightfold Way to the Periodic Table.Pieter Thyssen & Arnout Ceulemans - 2017 - New York, NY, USA: Oxford University Press.
    The standard model of subatomic particles and the periodic table of the atoms have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of the book is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries (...)
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  46. Mathematical Thinking Undefended on The Level of The Semester for Professional Mathematics Teacher Candidates. Toheri & Widodo Winarso - 2017 - Munich University Library.
    Mathematical thinking skills are very important in mathematics, both to learn math or as learning goals. Thinking skills can be seen from the description given answers in solving mathematical problems faced. Mathematical thinking skills can be seen from the types, levels, and process. Proportionally questions given to students at universities in Indonesia (semester I, III, V, and VII). These questions are a matter of description that belong to the higher-level thinking. Students choose 5 of 8 given problem. Qualitatively, the answers (...)
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  47. The Influence Of Implementation Brain-Friendly Learning Through The Whole Brain Teaching To Students’ Response and Creative Character In Learning Mathematics.Widodo Winarso & Siti Asri Karimah - 2017
    The purpose of this study was to determine whether the application of learning brain-friendly through the whole brain teaching a positive effect on the character of creative students, to study the response of the students, and to determine whether the students' response to the application of learning brain-friendly through the whole brain teaching positively correlated with the character of creative students in mathematics. The research method used is quantitative. The instruments used are student questionnaire responses related to the application of (...)
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  48. GlamMapping Trove.Arianna Betti, Thom Castermans, Bettina Speckmann, Hein Van Den Berg & Kevin Verbeek - 2016 - Proceedings of VALA 2016.
    This paper presents the current state of development of GlamMap, a visualisation tool that displays library metadata on an interactive, computer-generated geographic map. The focus in the paper is on the most crucial improvement achieved in the development of the tool: GlamMapping Trove. The visualisation of Trove’s sixtymillion book records is possible thanks to an improved database structure, more efficient data retrieval, and more scalable visualisation algorithms. The paper analyses problems encountered in visualising massive datasets, describes remaining challenges for the (...)
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  49. The Evolution of Utility Functions and Psychological Altruism.Christine Clavien & Michel Chapuisat - 2016 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 56:24-31.
    Numerous studies show that humans tend to be more cooperative than expected given the assumption that they are rational maximizers of personal gain. As a result, theoreticians have proposed elaborated formal representations of human decision-making, in which utility functions including “altruistic” or “moral” preferences replace the purely self-oriented "Homo economicus" function. Here we review mathematical approaches that provide insights into the mathematical stability of alternative ways of representing human decision-making in social contexts. Candidate utility functions may be evaluated with help (...)
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  50. Formal Foundations for the Origins of Human Consciousness.Giuseppe Iurato, Andrei Khrennikov & Fionn Murtagh - 2016 - P-Adic Numbers, Ultrametric Analysis, and Applications 8 (4):249-279.
    In the framework of p-adic analysis (the simplest version of analysis on trees in which hierarchic structures are presented through ultrametric distance) applied to formalize psychic phenomena, we would like to propose some possible first hypotheses about the origins of human consciousness centered on the basic notion of time symmetry breaking as meant according to quantum field theory of infinite systems. Starting with Freud's psychophysical (hydraulic) model of unconscious and conscious flows of psychic energy based on the three-orders mental representation, (...)
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