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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. Some Basic Studies About Trigonometry.Luiz Antonio Freire - manuscript
    A guide to the first steps into the world of Geometry, Trigonometry and their lines-of-reasoning widely used through the high school and first years of college, in the exact-sciences context.
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  3. A Note on Incomplete Theory.Han Geurdes - manuscript
    In the paper it is demonstrated that Bell's theorem is unproveable.
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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. Analisis hasil studi nasional dan internasional.Amin Suyito - 2020 - BAHAN AJAR PERKULIAHAN 2020 (2):1-34.
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  11. 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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  12. 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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  13. Concerning Formal Concept Analysis on Complete Residuated Lattices.Abner de Mattos Brito - 2019 - Dissertation, University of Campinas, Brazil
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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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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  20. 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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  21. 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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  22. 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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  23. 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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  24. 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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  25. 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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  26. 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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  27. 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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  28. 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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  29. 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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  30. 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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  31. 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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  32. 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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  33. 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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  34. Truth Through Nonviolence.Venkata Rayudu Posina - 2016 - GITAM Journal of Gandhian Studies 5 (1):143-150.
    What is reality? How do we know? Answers to these fundamental questions of ontology and epistemology, based on Mahatma Gandhi's "experiments with truth", are: reality is nonviolent (in the sense of not-inconsistent), and nonviolence (in the sense of respecting-meaning) is the only means of knowing (Gandhi, 1940). Be that as it may, science is what we think of when we think of reality and knowing. How does Gandhi's nonviolence, discovered in his spiritual quest for Truth, relate to the scientific pursuit (...)
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  35. The Exact (Up to Infinitesimals) Infinite Perimeter of the Koch Snowflake and its Finite Area.Yaroslav Sergeyev - 2016 - Communications in Nonlinear Science and Numerical Simulation 31 (1-3):21–29.
    The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational methodology allowing one to execute numerical computations with infinities and infinitesimals is applied to study the Koch snowflake at infinity. Numerical computations with actual infinite and infinitesimal numbers can be executed on the Infinity Computer being a new supercomputer patented in USA and (...)
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  36. Review of The Art of the Infinite by R. Kaplan, E. Kaplan 324p(2003).Michael Starks - 2016 - In Suicidal Utopian Delusions in the 21st Century: Philosophy, Human Nature and the Collapse of Civilization-- Articles and Reviews 2006-2017 2nd Edition Feb 2018. Michael Starks. pp. 619.
    This book tries to present math to the millions and does a pretty good job. It is simple and sometimes witty but often the literary allusions intrude and the text bogs down in pages of relentless math--lovely if you like it and horrid if you don´t. If you already know alot of math you will still probably find the discussions of general math, geometry, projective geometry, and infinite series to be a nice refresher. If you don´t know any and don´t (...)
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  37. New Exact Quasi-Classical Asymptotic Beyond WKB Approximation and Beyond Maslov Formal Expansion.Jaykov Foukzon - 2015 - Journal of Physics: Conference Series 633 (1):`1-5.
    New exact quasi-classical asymptotic of solutions to the.
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  38. Introduction. Modeling and Measuring Cycles, Processes, and Trends.Leonid Grinin & Andrey Korotayev - 2014 - In History & Mathematics: Trends and Cycles. Volgograd, Russia: Uchitel Publishing House. pp. 5-8.
    The present Yearbook (which is the fourth in the series) is subtitled Trends & Cycles. Already ancient historians (see, e.g., the second Chapter of Book VI of Polybius' Histories) described rather well the cyclical component of historical dynamics, whereas new interesting analyses of such dynamics also appeared in the Medieval and Early Modern periods (see, e.g., Ibn Khaldūn 1958 [1377], or Machiavelli 1996 [1531] 1). This is not surprising as the cyclical dynamics was dominant in the agrarian social systems. With (...)
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  39. History & Mathematics: Trends and Cycles.Leonid Grinin & Andrey V. Korotayev - 2014 - Volgograd: "Uchitel" Publishing House.
    The present yearbook (which is the fourth in the series) is subtitled Trends & Cycles. It is devoted to cyclical and trend dynamics in society and nature; special attention is paid to economic and demographic aspects, in particular to the mathematical modeling of the Malthusian and post-Malthusian traps' dynamics. An increasingly important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical (...)
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  40. INVESTIGAÇÕES SOBRE OS SISTEMAS AXIOMÁTICOS NA GEOMETRIA EUCLIDIANA.Douglas Alexandre Rodrigues - 2014 - Dissertation, Unesp, Brazil
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  41. Fundamental Nature of the Fine-Structure Constant.Michael A. Sherbon - 2014 - International Journal of Physical Research 2 (1):1-9.
    Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler's view of nature and Pythagorean geometry. The Laplace limit of Kepler's equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger's research enable a calculation of the electron magnetic moment anomaly. Considerations of fundamental lengths such as the charge radius of the proton and mass (...)
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  42. Consideration on the Flow Velocity in the Experimental Analysis of the Flame Displacement Speed Using DNS Data of Turbulent Premixed Flames with Different Lewis Numbers.Kazuya Tsuboi - 2014 - Open Journal of Fluid Dynamics 4 (3):278-287.
    The flame displacement speed is one of the major characteristics in turbulent premixed flames. The flame displacement speed is experimentally obtained from the displacement normal to the flame surface, while it is numerically evaluated by the transport equation of the flame surface. The flame displacement speeds obtained both experimentally and numerically cannot be compared directly because their definitions are different. In this study, two kinds of experimental flame displacement speeds—involving the mean inflow velocity and the local flow velocity—were simulated using (...)
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  43. DNS Analysis on the Indirect Relationship Between the Local Burning Velocity and the Flame Displacement Speed of Turbulent Premixed Flames.Kazuya Tsuboi - 2014 - Open Journal of Fluid Dynamics 4 (3):288-297.
    The local burning velocity and the flame displacement speed are the dominant properties in the mechanism of turbulent premixed combustion. The flame displacement speed and the local burning velocity have been investigated separately, because the flame displacement speed can be used for the discussion of flame-turbulence interactions and the local burning velocity can be used for the discussion of the inner structure of turbulent premixed flames. In this study, to establish the basis for the discussion on the effects of turbulence (...)
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  44. The Science of Life Discovered From Lynnclaire Dennis' Near-Death Experience.Kevin Williams & Lynnclaire Dennis - 2014 - Afterlife.
    Elsevier, the world's leading provider of science and health information, published an academic/scientific textbook about a new mathematical discovery discovered in a near-death experience (NDE) that matches the dynamics of living and life-like (social) systems and has applications in general systems theory, universal systems modelling, human clinical molecular genetics modelling, medical informatics, astrobiology, education and other areas of study. This article is about Lynnclaire Dennis and how she brought back perhaps the greatest scientific discovery ever from a NDE. The Mereon (...)
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  45. The Mathematics of Slots: Configurations, Combinations, Probabilities.Catalin Barboianu - 2013 - Craiova, Romania: Infarom.
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  46. On a Simple Derivation of the Effect of Repeated Measurements on Quantum Unstable Systems by Using the Regularized Incomplete Beta-Function.Elio Conte - 2012 - Advanced Studies in Theoretical Physics 6 (25):1207-1213.
    a simple derivation of the effect induced from repeated measurements on quantum unstable systems is obtained by using the regularized incomplete beta - function .
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  47. Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses.Catalin Barboianu - 2011 - Craiova, Romania: Infarom.
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  48. Problem 11589: Where Are the Zeros?Catalin Barboianu - 2011 - The American Mathematical Monthly 117 (7):653.
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  49. Steps Towards a Unified Basis for Scientific Models and Methods.Inge S. Helland - 2010 - World Scientific.
    The book attempts to build a bridge across three cultures: mathematical statistics, quantum theory and chemometrical methods.
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  50. The Mathematics of Lottery: Odds, Combinations, Systems.Catalin Barboianu - 2009 - Craiova, Romania: Infarom.
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