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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. Introduction to CAT4. Part 2. CAT2.Andrew Thomas Holster - manuscript
    CAT4 is proposed as a general method for representing information, enabling a powerful programming method for large-scale information systems. It enables generalised machine learning, software automation and novel AI capabilities. It is based on a special type of relation called CAT4, which is interpreted to provide a semantic representation. This is Part 2 of a five-part introduction. The focus here is on defining key mathematical properties of CAT2, identifying the topology and defining essential functions over a coordinate system. The analysis (...)
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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. Long Range.Victor Mota - manuscript
    Long Range and short range, guns and violence, everyday life in cities and streets, between social and group identity and faith and religious belief, the vision to the "things of the world that cannot be seen" (Heróis do Mar).
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  6. Mathematics for Cognitive Science.Venkata Rayudu Posina - manuscript
    That the state-of-affairs of cognitive science is not good is brought into figural salience in "What happened to cognitive science?" (Núñez et al., 2019). We extend their objective description of 'what's wrong' to a prescription of 'how to correct'. Cognitive science, in its quest to elucidate 'how we know', embraces a long list of subjects, while ignoring Mathematics (Fig. 1a, Núñez et al., 2019). Mathematics is known for making the unknown to be known (cf. solving for unknowns). This acknowledgement naturally (...)
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  7. Structure and Logic of Conceptual Mind.Venkata Rayudu Posina - manuscript
    Mind, according to cognitive neuroscience, is a set of brain functions. But, unlike sets, our minds are cohesive. Moreover, unlike the structureless elements of sets, the contents of our minds are structured. Mutual relations between the mental contents endow the mind its structure. Here we characterize the structural essence and the logical form of the mind by focusing on thinking. Examination of the relations between concepts, propositions, and syllogisms involved in thinking revealed the reflexive graph structure of the conceptual mind. (...)
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  8. Conscious Experience and Designing User Experiences.Venkata Rayudu Posina - manuscript
    Neuroscientific discourse on consciousness often resorts to "collection of elements", notwithstanding the Gestalt demonstrations against representing conscious experience as a collection of sensory elements. Here I show that defining conscious experience as an object of the category of conscious experiences, instead of as cohesion-less set of structure-less elements, provides the conceptual repertoire—basic shapes, figures, and incidence relations—needed to reason about the essence of conscious experiences and the essence-preserving transformations of conscious experiences. Viewed in light of the category of conscious experiences, (...)
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  9. Universal Yearning for Understanding.Venkata Rayudu Posina & Shankar - manuscript
    Math literacy is miniscule compared to the near universal language literacy of mother tongues. Our search for the root cause of this undesirable human condition led us to: Grammar (or the abstract essence) of a language. Language learning begins with grammar, unless the language happens to be mathematics, which is unique in not even considering including the grammar (abstract general/theory) of mathematics in the mathematical pedagogy. Here we make a case for introducing the abstract essence of mathematics--Conceptual Mathematics--in high school (...)
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  10. Can AI Abstract the Architecture of Mathematics?Posina Rayudu - manuscript
    The irrational exuberance associated with contemporary artificial intelligence (AI) reminds me of Charles Dickens: "it was the age of foolishness, it was the epoch of belief" (cf. Nature Editorial, 2016; to get a feel for the vanity fair that is AI, see Mitchell and Krakauer, 2023; Stilgoe, 2023). It is particularly distressing—feels like yet another rerun of Seinfeld, which is all about nothing (pun intended); we have seen it in the 60s and again in the 90s. AI might have had (...)
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  11. 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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  12. 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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  13. The number of downloads for the bayesvl program increased significantly in January 2024.A. I. S. D. L. Team - 2024 - Sm3D Portal.
    In the first month of 2024, there was a significant increase in the number of downloads for the Bayesian stats / MCMC computing program, bayesvl, developed by AISDL running on R and Stan. The following RDocumentation (CRAN) graph illustrates the noticeable leap in data for January 2024.
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  14. Satisfaction of Students in the Methods Used in Mathematics in the Modern World in a New Normal.Ella Tricia Aquino & Melanie Gurat - 2023 - American Journal of Educational Research 11 (3):144-150.
    One notable component to look at in the teaching-learning process is the way the subject is taught because one way or another, students are greatly affected by it. Viewing students’ perspectives on the use of the different teaching methods, this study determined the frequency of use of these teaching methods and their level of satisfaction. Through a systematic investigation, the findings from a critical questionnaire administered to first-year BS Hospitality Management college students at Ifugao State University were analyzed and summarized. (...)
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  15. Comparing Mathematics Achievement: Control vs. Experimental Groups in the Context of Mobile Educational Applications.Charlotte Canilao & Melanie Gurat - 2023 - American Journal of Educational Research 11 (6):348-358.
    This study primarily assessed students' achievement in mathematics using a mobile educational application to help them learn and adapt to changes in education. The study involved selected Grade 9 students at a public high school in Nueva Vizcaya, Philippines. This study used a quasi-experimental method, particularly a post-test control group design. Descriptive statistics such as frequencies, percent, mean, and standard deviation were used to describe the achievement of the students in mathematics. A t-test for independent samples was also computed to (...)
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  16. Effect of Mobile App on Students’ Mathematics and Technology Attitude.Charlotte Canilao & Melanie Gurat - 2023 - American Journal of Educational Research 11 (10):722-728.
    This study investigates the effect of mobile app on students’ Behavioral engagement, Confidence with technology, Mathematics confidence, Affective engagement, and Mathematics with technology. Grade 9 students were provided with mobile apps to support them in studying mathematics during distance learning. Post-test control group was utilized in the study to compare the mathematics and technology attitudes of the students in the control and treatment groups. This study used the Mathematics and Technology Attitudes Scale (MTAS) questionnaire adapted from Pierce et al. (2007). (...)
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  17. Pedagogical Approaches in Statistics and Probability during Pandemic.Melanie Gurat & Cathlyn Dumale - 2023 - American Journal of Educational Research 11 (6):337-347.
    The difficulty of the students in Statistics and Probability subject, and the pedagogical approaches used by the teachers, were the challenges encountered by both students and teachers due to the restrictions during the CoViD-19 pandemic. Hence, this study aimed to determine the pedagogical approaches used in teaching statistics and probability during the pandemic. The study used a qualitative approach, particularly document analysis. The main source of the data was the module in statistics and probability specifically the learning activity sheets in (...)
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  18. Individual, Motivational, and Social Support Factors Towards Learning Mathematics of University Students in the Blended Learning Approach.Dishelle Hufana & Melanie Gurat - 2023 - American Journal of Educational Research 11 (4):175-182.
    The broad range of emotional factors that affect learning on the sudden change of the learning modality in Mathematics led to this study. This study aimed to compare the level of support factors that greatly affect the students’ learning in mathematics in a blended learning approach. Sex, age, and relationship status were considered grouping variables on the individual, motivational, and social support factors towards learning mathematics in the blended learning mode of thirty education students at the tertiary level. This study (...)
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  19. Special issue in honour of Landon Rabern, Discrete Mathematics.Brian Rabern, D. W. Cranston & H. Keirstead (eds.) - 2023 - Elsevier.
    Special issue in honour of Landon Rabern. This special issue of Discrete Mathematics is dedicated to his memory, as a tribute to his many research achievements. It contains 10 new articles written by his collaborators, friends, and colleagues that showcase his interests.
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  20. За игрой в карты с чертиком Визинга.Brian Rabern & Landon Rabern - 2023 - Kvant 2023 (10):2-6.
    We analyze a solitaire game in which a demon rearranges some cards after each move. The graph edge coloring theorems of K˝onig (1931) and Vizing (1964) follow from the winning strategies developed.
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  21. Zastosowanie wybranych metod i narzędzi ilościowych w naukach ekonomicznych, finansach i informatyce: monografia zbiorowa.Maria Borowska, Igor Britchenko, Łukasz Jabłoński, Bogusław Kaczmarczyk, Aleksander Kasprzyk, Przemysław Leończyk, Paweł Maciaszczyk, Joanna Olszowy, Marcelina Słaba-Wiącek & Bożena Zygmunt - 2022 - Państwowa Uczelnia Zawodowa im. prof. Stanisława Tarnowskiego w Tarnobrzegu.
    Całość rozpoczyna teoretyczny rozdział matematyczno-statystyczny. Jego istota i charakter jest odmienny, od pozostałych dziewięciu rozdziałów praktyczno-specjalistycznych. Prezentuje on aparat matematyczno-statystyczny niezbędny do zrozumienia treści kolejnych kierunkowych już rozdziałów monografii. Treści merytoryczne tego rozdziału nie są zaprezentowane w formie systematycznego wykładu, czy prezentacji, ale przedstawiają jedynie sygnalnie i syntetycznie pojęcia, definicje, twierdzenia oraz zasady i metody, które stanowią fundament ich zastosowań w naukach ekonomicznych, finansach oraz informatyce. Rozdziały: od drugiego do dziesiątego są kierunkowymi rozdziałami specjalistycznymi i prezentują różne kierunki praktycznych zastosowań (...)
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  22. Weakly Free Multialgebras.Marcelo E. Coniglio & Guilherme V. Toledo - 2022 - Bulletin of the Section of Logic 51 (1):109-141.
    In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. However, these logics can be semantically characterized by means of non-deterministic algebraic structures such as Nmatrices, RNmatrices and swap structures. These structures are based on multialgebras, which generalize algebras by allowing the result of an operation to assume a non-empty set of values. This leads to an interest in (...)
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  23. Lógica Matemática y el Método de Polya para resolver problemas matemáticos.Franklin Galindo - 2022 - Dissertation,
    La siguiente ponencia-taller tiene por finalidad explicar cómo podría aplicarse el Método de George Polya para resolver problemas (matemáticos) en el contexto de la Lógica Matemática, especialmente en la lógica Matemática elemental (la lógica de primer orden con identidad). Es una propuesta pedagógica experimental (además de las ya existentes) que tal vez pueda ser útil para la enseñanza de la lógica matemática en ciencias o en humanidades. Dicha ponencia se presentó (vía web) con motivo de la celebración del Día Mundial (...)
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  24. Perception and Academic Performance of STEM Students in Learning Calculus.Bonifacio Giangan & Melanie Gurat - 2022 - Psychology and Education: A Multidisciplinary Journal 4 (1):2-7.
    This study aimed to determine the relationship between academic performance and students’ perceptions in learning Calculus during distance learning modality. Learning Calculus is part of developing students' Mathematics skills and abilities towards enhancing STEM education in Senior High School. Thirty-five (35) STEM students were purposively sampled at a public school in Davao Region, Philippines. These students took up Pre-Calculus and Basic Calculus during pandemic. This study used a quantitative research design, particularly the descriptive-correctional method, to analyze the collected data. Based (...)
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  25. The New Collection 2021: New Perspectives.Sophie Nagler (ed.) - 2022 - Oxford, UK: New College MCR.
    The New Collection is a peer-reviewed interdisciplinary academic journal published by the Middle Common Room of New College, University of Oxford.
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  26. Languages, machines, and classical computation.Luis M. Augusto - 2021 - London, UK: College Publications.
    3rd ed, 2021. A circumscription of the classical theory of computation building up from the Chomsky hierarchy. With the usual topics in formal language and automata theory.
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  27. Book Review: Luck, logic, and white lies: the mathematics of games, second edition. [REVIEW]Catalin Barboianu - 2021 - International Gambling Studies 21.
    Book Review Luck, logic, and white lies: the mathematics of games, second edition by Jörg Bewersdorff, New York, Taylor & Francis, CRC Press, 2021, 568 pp., GBP 42.99 (paperback), ISBN 9780367548414, Number of chapters 51.
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  28. Book Review: Mathematics of casino carnival games. [REVIEW]Catalin Barboianu - 2021 - International Gambling Studies 21.
    Book Review Mathematics of casino carnival games by Mark Bollman, New York: CRC Press 2021, 318 pp., GBP 48.99 (hardback), ISBN 9780367348656.
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  29. Premeny interpretácie teologického a matematického jazyka „knihy prírody“.Gašpar Fronc - 2021 - In Zlatica Plašienková (ed.), Paradigmatické zmeny v chápaní kozmologickej a antropologickej problematiky: minulosť a súčasnosť. Bratislava: Univerzita Komenského v Bratislave. pp. 94 – 118.
    The symbolism of nature as a book in which one reads is of ancient origin. This study focuses on the question of its mathematical and theological language in the biblical context and on the background of changes in natural philosophy, especially in the Renaissance period. The biblical context is associated with the paradigm shift in the Renaissance period, because all the researched authors addressed the questions of meaning and methods of research of nature in connection with the hermeneutics of biblical (...)
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  30. La «matemática situada» como propuesta de reflexión epistémica en clave histórico-social sobre la práctica matemática.Héctor Horacio Gerván - 2021 - Culturas Cientificas 2 (2):01-25.
    La presente investigación tiene como propósito general asumir un posicionamiento filosófico en clave histórico-social y de tipo anti-relativista para analizar el desarrollo histórico de la matemática, el cual aplicaremos a un caso en particular: la matemática del antiguo Egipto. Para ello se discutirán y criticarán, en primera instancia, determinadas posiciones filosóficas afines al cuasi-empirismo en matemática que, siendo relativistas, permitirán delinear nuestro propio posicionamiento en contraste: la existencia de una «matemática situada». Esta categoría filosófica tendrá como sustento teórico la noción (...)
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  31. La matemática mixta en las investigaciones de G. W. Leibniz.José Gustavo Morales - 2021 - Culturas Cientificas 2 (2):42-52.
    Para favorecer la interacción disciplinar y recuperar la dimensión práctica del conocimiento matemático en la escuela secundaria, Yves Chevallard plantea la necesidad de introducir en los programas de estudio la matemática mixta. La matemática mixta, cuyo apogeo tuvo lugar en Europa entre los siglos XVI y XVIII, se propone el abordaje de problemas surgidos por fuera de la propia matemática valiéndose de nociones mecánicas -como la de centro de gravedad y fuerza centrífuga- y del empleo de variados instrumentos para realizar (...)
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  32. Euclides entre los árabes.Norma Ivonne Ortega Zarazúa - 2021 - Culturas Cientificas 2 (1):76-105.
    Es común escuchar que el mundo Occidental debe a los árabes el descubrimiento del álgebra. No obstante, el desarrollo de esta disciplina puede interpretarse como un crisol de distintas tradiciones científicas que fue posible gracias a la clasificación, traducción y crítica tanto de los clásicos como de las obras que los árabes obtuvieron de los pueblos que conquistaron. Entre estos trabajos se encontraba Los Elementos de Euclides. Los Elementos fueron cuidadosamente traducidos durante el califato de Al-Ma’mūn por el matemático Mohammed (...)
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  33. A reflection on the journey to build the first national science databases.Quan-Hoang Vuong - 2021 - Academia Letters.
    How a senior researcher from a developing country can build an organic academic enterprise. Drawing from childhood experience with nature, past works with the business sector, and philosophy of data-driven research, the essay presents a compelling case of letting young graduates work on big database-building projects: one on Vietnamese social sciences; the other is more than 80 years of the pioneer science in Vietnam—mathematics. Two national databases have enabled meaningful data-driven interactions with scientific policymakers.
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  34. 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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  35. 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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  36. Application of combined modeling methods for estimating and forecasting the business value of international corporations.Igor Kryvovyazyuk, Serhii Smerichevskyi, Olha Myshko, Iryna Oleksandrenko, Viktoriia Dorosh & Tetiana Visyna - 2020 - International Journal of Management 11 (7):1000-1007.
    The purpose of the research is to study the feasibility of using the combined modeling method in evaluation of business value. Modern approaches and methods of evaluating business value and the possibilities of combining them are explored. The peculiarities of the methodology of evaluating the business value by methods of Gordon Growth Model and Exit Multiple are disclosed. During the research the fair value of Luxoft company and the reasons for its deviation from the cost of sale are found. Luxoft’s (...)
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  37. Analisis hasil studi nasional dan internasional.Amin Suyito - 2020 - BAHAN AJAR PERKULIAHAN 2020 (2):1-34.
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  38. 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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  39. Concerning Formal Concept Analysis on Complete Residuated Lattices.Abner de Mattos Brito - 2019 - Dissertation, University of Campinas, Brazil
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  40. 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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  41. 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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  42. 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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  43. 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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  44. 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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  45. 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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  46. 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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  47. 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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  48. 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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  49. 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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  50. 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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