Results for 'Diffusion equation'

705 found
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  1.  82
    A Numerical Solution of Ermakov Equation Corresponding to Diffusion Interpretation of Wave Mechanics.Victor Christianto & Florentin Smarandache - manuscript
    It has been long known that a year after Schrödinger published his equation, Madelung also published a hydrodynamics version of Schrödinger equation. Quantum diffusion is studied via dissipative Madelung hydrodynamics. Initially the wave packet spreads ballistically, than passes for an instant through normal diffusion and later tends asymptotically to a sub‐diffusive law. In this paper we will review two different approaches, including Madelung hydrodynamics and also Bohm potential. Madelung formulation leads to diffusion interpretation, which after (...)
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  2. On Some Considerations of Mathematical Physics: May we Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations?Elio Conte - 2012 - Advanced Studies in Theoretical Physics 6 (26):1289-1307.
    We start from previous studies of G.N. Ord and A.S. Deakin showing that both the classical diffusion equation and Schrödinger equation of quantum mechanics have a common stump. Such result is obtained in rigorous terms since it is demonstrated that both diffusion and Schrödinger equations are manifestation of the same mathematical axiomatic set of the Clifford algebra. By using both such ( ) i A S and the i,±1 N algebra, it is evidenced, however, that possibly (...)
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  3. A class of reaction-diffusion mechanisms which preferentially select striped patterns.Michael Lyons & Lionel G. Harrison - 1991 - Chemical Physics Letters 183 (1,2):158-164.
    Reaction-diffusion systems which have reaction term satisfying f(-q) = -f(q) tend strongly to form striped patterns. Haken’s slaving principle is used to derive differential equations for unstable mode amplitudes close to the Turing instability. This connects a dynamical symmetry to pattern selection, with possible relevance to biological and chemical pattern-forming phenomena.
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  4. Impact of perceived ease of use, organizational support mechanism, and industry competitive pressure on physicians’ use of liver cancer screening technology in medical alliances.Junhong Lu, Qingwen Deng, Yuehua Chen & Wenbin Liu - 2023 - Frontiers in Public Health 11:1174334.
    Background: Liver cancer is one of the malignant tumors worldwide, while the prevention and control situation is grim at present, and the diffusion of its early screening technology still faces some challenges. This study aims to investigate the influencing mechanism of perceived ease of use, organizational support mechanism, and industry competitive pressure on hepatic early screening technologies use by physicians, so as to promote the wider use of corresponding technologies. -/- Methods: Under the theoretical guidance of technology-organization-environment framework and (...)
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  5. More Notes on Time, After “9 Temporal Knowledge Arguments...”.Paul Merriam - manuscript
    I give more notes about time and quantum mechanics, including notes about entropic time, superdeterminism, retro-causality, Spotlight Presentism, QFT, empirical outcomes of experiments in the present only, and Schrodinger's equation.
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  6. Static Time, a Cosmological Uncertainty Rule, and a Quest for a Beginningless Kalam Cosmological Argument.Jef Zerrudo - manuscript
    A simple solution to the problem of time is proposed by postulating that if the Universe is time-like, stationary, and bounded then it could be divided into static temporal gradations or contours. Hence, an energy diffusion flux (EDF) equation was established from which the Planck and the Hubble times have been derived. It is then found that time is unimportant after applying Gauss's Law on EDF when looking for a characteristic length of the Universe א. An uncertainty rule (...)
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  7. Uncovering the antecedents of trust in social commerce: an application of the non-linear artificial neural network approach.Hussam Al Halbusi - 2022 - Competitiveness Review 4.
    Purpose – The internet creates ample opportunities to start a mobile social commerce business. The literature confirms the issue of customer trust for social commerce businesses is a challenge that must be addressed. Hence, this study aims to examine the antecedents of trust in mobile social commerce by applying linear and non-linear relationships based on partial least squares structural equation modeling and an artificial neural network model. -/- Design/methodology/approach – This study applied a non-linear artificial neural network approach to (...)
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  8. Static Time, a Localized Universe, and a Cosmological Uncertainty Rule.Jef Zerrudo - manuscript
    This paper offers a solution to the problem of time by proposing that if the universe is time-like, stationary, and bounded, then it can be divided into static temporal gradations or contours. This led to the establishment of an energy diffusion flux (EDF) equation from which the Planck and Hubble times were derived. It was found that time becomes unimportant after applying Gauss's Law on EDF when searching for the characteristic length of the universe א. Additionally, an uncertainty (...)
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  9. Non-linear Analysis of Models for Biological Pattern Formation: Application to Ocular Dominance Stripes.Michael Lyons & Lionel G. Harrison - 1993 - In Frank Eeckman (ed.), Neural Systems: Analysis and Modeling. Springer. pp. 39-46.
    We present a technique for the analysis of pattern formation by a class of models for the formation of ocular dominance stripes in the striate cortex of some mammals. The method, which employs the adiabatic approximation to derive a set of ordinary differential equations for patterning modes, has been successfully applied to reaction-diffusion models for striped patterns [1]. Models of ocular dominance stripes have been studied [2,3] by computation, or by linearization of the model equations. These techniques do not (...)
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  10. Diffusing the Creator: Attributing Credit for Generative AI Outputs.Donal Khosrowi, Finola Finn & Elinor Clark - 2023 - Aies '23: Proceedings of the 2023 Aaai/Acm Conference on Ai, Ethics, and Society.
    The recent wave of generative AI (GAI) systems like Stable Diffusion that can produce images from human prompts raises controversial issues about creatorship, originality, creativity and copyright. This paper focuses on creatorship: who creates and should be credited with the outputs made with the help of GAI? Existing views on creatorship are mixed: some insist that GAI systems are mere tools, and human prompters are creators proper; others are more open to acknowledging more significant roles for GAI, but most (...)
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  11. Structural equations and beyond.Franz Huber - 2013 - Review of Symbolic Logic 6 (4):709-732.
    Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which extended (...)
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  12. Demic Diffusion of the Yayoi People in the Japanese Archipelago.Hisashi Nakao, Tomomi Nakagawa, Akihiro Kaneda, Koji Noshita & Kohei Tamura - 2023 - Letters on Evolutionary Behavioral Science 14 (2):58–64.
    The present study examines the 3-dimensional data of human crania from the Yayoi period (800 BC to AD 250) of the Japanese archipelago by geometric morphometrics to investigate demic diffusion patterns. This is the first study on the Yayoi crania using their 3D data and geometric morphometrics with a much larger number of skeletal remains outside of the Kyushu regions than previous studies. The comparative results between the Jōmon and Yayoi samples show that the Yayoi people not only in (...)
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  13. The Diffusion of the Codex.Benjamin Harnett - 2017 - Classical Antiquity 36 (2):183-235.
    The adoption of the codex for literature in the Roman world was one of the most significant developments in the history of the book, yet remains poorly understood. Physical evidence seems to contradict literary evidence from Martial's epigrams. Near-total adoption of the codex for early Christian works, even as the book roll dominated non-Christian book forms in the first centuries of our era, has led to endless speculation about possible ideological motives for adoption. What has been unquestioned is the importance (...)
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  14. The diffusion of sextus empiricus's works in the renaissance.Luciano Floridi - 1995 - Journal of the History of Ideas 56 (1):63-85.
    This paper discusses the influence of Sextus Empiricus' works on Renaissance culture and the recovery of Pyrrhonism during the fifteenth and sixteenth centuries. It investigates what primary and secondary sources were available at the time, and who knew and made use of such sources. The article concludes that the dearth of Pyrrhonic arguments in Renaissance literature was due to the prevailing and incompatible culture of humanism rather than to a lack of interest in Sextus Empiricus’ works during this period.
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  15. The Equating of the Unequal.Bernhard Waldenfels & John Krummel - 2015 - Social Imaginaries 1 (2):92-102.
    This is an English translation of Waldenfels' German essay: Equality and inequality are basic elements of law, justice and politics. Equality integrates each of us into a common sphere by distributing rights, duties and chances among us. Equality turns into mere indifference as far as we get overintegrated into social orders. When differences are fading away experience loses its relief and individuals lose their face. Our critical reflections start from the inevitable paradox of making equal what is not equal. In (...)
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  16.  95
    Diffusion, drift and their interrelation through volume density.M. Danielewski & B. Wierzba - 2009 - Philosophical Magazine 89 (4):331-348.
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  17. Equations, Qualia, and Qualations.Paul Merriam - manuscript
    Abstract to Equations, Qualia, and Qualations -/- With regard to consciousness, we could write an equation B = black. But it is possible to rewrite this using a quale, namely, B = █. This latter equation might be called a ‘qualation’. It has the same meaning regardless of the physiology that apprehends it. This article argues a whole theory of qualations could be developed. Further, to a Dualist, it could be that a materialist is convinced by materialist arguments (...)
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  18. A Structural Equation Model on Pro-Social Skills and Expectancy-Value of STEM Students.Starr Clyde Sebial & Joy Mirasol - 2023 - European Journal of Educational Research 12 (2):967-976.
    The objective of the study was to develop a structural model that explores the relationship between Mathematics Performance and students’ self-regulated learning skills, grit, and expectancy-value towards science, technology, engineering and mathematics (STEM). The research collected survey data from 664 senior high school students from 17 STEM high schools, and conducted a covariance-based structural equation modeling (SEM) analysis. The results of the SEM analysis indicate that the Re-specified Self-Regulated Learning Skill – Expectancy-Value towards STEM – Grit – Mathematics Performance (...)
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  19. Structural equation model of students' competence in Mathematics among Filipino high school students.Melanie Gurat - 2018 - Journal in Interdisciplinary Studies in Education 7 (1):67-77.
    This study aimed to construct structural equation model of students’ competence in mathematics through selected students profile variables. The structural model revealed interesting influence of the profile variables to the competency in mathematics. It can be conveyed that better mother’s work status, higher educational level expected to complete, more confident and did not repeat kinder, have better competency in mathematics. The four variables that directly influenced the competence variables were also influenced with other profile variables such as family background. (...)
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  20.  61
    Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex.Victor Christianto, Florentin Smarandache & Yunita Umniyati - manuscript
    It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be (...)
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  21. Field equations, quantum mechanics and geotropism.Han J. F. Geurdes - manuscript
    The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today [1]. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. (...)
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  22. The Price Equation.Alan Macdonald - manuscript
    I give concise derivations of Price's equation and the criteria for kin and group selection, prove that kin and group selection are equivalent, and discuss the controversies about altruism.
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  23. Chasing an equation for awareness.Chaz Firestone & Ian Phillips - 2023 - Science 382:1251.
    Science begins with mystery. What causes lightning? How did this mold stop bacterial growth? Why do we age? Arguably, the two greatest mysteries are the cosmos and consciousness—the vast world out there and the vibrant world within. Scientists captivated by one can be called to study the other, seduced by the thought that these mysteries are connected. Science writer George Musser’s book Putting Ourselves Back in the Equation reviews their progress: Can physics unlock the mystery of consciousness? Does consciousness (...)
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  24. Préface à "La diffusion de la Covid-19 - Que peuvent les modèles ?".Franck Varenne - 2020 - In Juliette Rouchier & Victorien Barbet (eds.), La diffusion de la Covid-19. Paris: pp. 3-10.
    Voilà un livre comme on pouvait l’espérer. Centré sur la Covid-19 et sur sa diffusion, il s’installe au cœur de questions brûlantes, encore urgentes pour tout un chacun, mais il garde aussi la tête froide, prend du recul, informe, enseigne et questionne, qui plus est de façon pédagogique. Davantage : au-delà du bilan critique, il propose des perspectives inédites, voire quelques suggestions solides. Il nous donne à réfléchir sur des chemins moins balisés. À le lire, on comprendra, par l’exemple, (...)
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  25. Diffusion or War? Foucault as a Reader of Tarde.Sergio Tonkonoff - 2017 - In From Tarde to Foucault and Deleuze. The Infinitesimal Revolution. New York: Palgrave Macmillan.
    The objective of this chapter is to clarify the social theory underlying in Foucault’s genealogy of power/knowledge thanks to a comparison with Tarde’s microsociology. Nietzsche is often identified as the direct (and unique) predecessor of this genealogy, and the habitual criticisms are worried about the intricate relations between Foucault and Marx. These perspectives omit to point to another – and more direct – antecedent of Foucault`s microphysics: the microsociology of Gabriel Tarde. Bio-power technologies must be read as Tardian inventions that, (...)
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  26. Equations vs. Qualations.Paul Merriam - manuscript
    A *qualation* does not contain merely references to qualia, but contains actual qualia. There are many differences to equations. Qualations are irreducibly 1st-person and are required for the statement of a hard problem.
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  27. Derivation of the Schrödinger equation.Shan Gao - manuscript
    It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.
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  28.  65
    Numerical solution of master equation corresponding to Schumann waves.Florentin Smarandache - manuscript
    Following a hypothesis by Marciak-Kozlowska, 2011, we consider one-dimensional Schumann wave transfer phenomena. Numerical solution of that equation was obtained by the help of Mathematica.
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  29. Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer.Yaroslav Sergeyev - 2013 - Applied Mathematics and Computation 219 (22):10668–10681.
    There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer (...)
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  30. Dirac-Type Equations in a Gravitational Field, with Vector Wave Function.Mayeul Arminjon - 2008 - Foundations of Physics 38 (11):1020-1045.
    An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of (...)
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  31. Is the Jump-Diffusion Model a Good Solution for Credit Risk Modeling? The Case of Convertible Bonds.Tim Xiao - 2015 - International Journal of Financial Markets and Derivatives 4 (1):1-25.
    This paper argues that the reduced-form jump diffusion model may not be appropriate for credit risk modeling. To correctly value hybrid defaultable financial instruments, e.g., convertible bonds, we present a new framework that relies on the probability distribution of a default jump rather than the default jump itself, as the default jump is usually inaccessible. As such, the model can back out the market prices of convertible bonds. A prevailing belief in the market is that convertible arbitrage is mainly (...)
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  32.  63
    An Eastward Diffusion: The New Oxford and Paris Physics of Light in Prague Disputations, 1377-1409.Lukáš LIČKA - 2022 - Recherches de Theologie Et Philosophie Medievales 89 (2):449-516.
    This paper inquires into how the new techniques of 14th-century physics, especially the doctrines of the maxima and minima of powers and the latitudes of forms, were applied to the issue of propagation of light. The focus is on several Prague disputed questions, originating between 1377 and 1409, dealing with whether illumination has infinite or finite reach and whether illumination’s intensity remains constant (uniformis) or is rather uniformly decreasing (uniformiter difformis). These questions are contextualised through examination of Oxford, Paris, and (...)
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  33. “What Good is Wall Street?” Institutional Contradiction and the Diffusion of the Stigma over the Finance Industry.Thomas Roulet - 2015 - Journal of Business Ethics 130 (2):389-402.
    The concept of organizational stigma has received significant attention in recent years. The theoretical literature suggests that for a stigma to emerge over a category of organizations, a “critical mass” of actors sharing the same beliefs should be reached. Scholars have yet to empirically examine the techniques used to diffuse this negative judgment. This study is aimed at bridging this gap by investigating Goffman’s notion of “stigma-theory”: how do stigmatizing actors rationalize and emotionalize their beliefs to convince their audience? We (...)
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  34. Interdisciplinarity and insularity in the diffusion of knowledge: an analysis of disciplinary boundaries between philosophy of science and the sciences.John McLevey, Alexander V. Graham, Reid McIlroy-Young, Pierson Browne & Kathryn Plaisance - 2018 - Scientometrics 1 (117):331-349.
    Two fundamentally different perspectives on knowledge diffusion dominate debates about academic disciplines. On the one hand, critics of disciplinary research and education have argued that disciplines are isolated silos, within which specialists pursue inward-looking and increasingly narrow research agendas. On the other hand, critics of the silo argument have demonstrated that researchers constantly import and export ideas across disciplinary boundaries. These perspectives have different implications for how knowledge diffuses, how intellectuals gain and lose status within their disciplines, and how (...)
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  35.  52
    Social AI and The Equation of Wittgenstein’s Language User With Calvino’s Literature Machine.Warmhold Jan Thomas Mollema - 2024 - International Review of Literary Studies 6 (1):39-55.
    Is it sensical to ascribe psychological predicates to AI systems like chatbots based on large language models (LLMs)? People have intuitively started ascribing emotions or consciousness to social AI (‘affective artificial agents’), with consequences that range from love to suicide. The philosophical question of whether such ascriptions are warranted is thus very relevant. This paper advances the argument that LLMs instantiate language users in Ludwig Wittgenstein’s sense but that ascribing psychological predicates to these systems remains a functionalist temptation. Social AIs (...)
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  36. Acceleration AI Ethics, the Debate between Innovation and Safety, and Stability AI’s Diffusion versus OpenAI’s Dall-E.James Brusseau - manuscript
    One objection to conventional AI ethics is that it slows innovation. This presentation responds by reconfiguring ethics as an innovation accelerator. The critical elements develop from a contrast between Stability AI’s Diffusion and OpenAI’s Dall-E. By analyzing the divergent values underlying their opposed strategies for development and deployment, five conceptions are identified as common to acceleration ethics. Uncertainty is understood as positive and encouraging, rather than discouraging. Innovation is conceived as intrinsically valuable, instead of worthwhile only as mediated by (...)
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  37. Self-graphing equations.Samuel Alexander - manuscript
    Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper’s self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on fonts) and it is trivial. We fix these flaws by formalizing the problem.
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  38.  92
    From where do things culturally diffuse? Paired systems.Terence Rajivan Edward - manuscript
    Diffusionism in anthropology posits centres of creativity from which things diffuse, such as ideas and innovations. But what sort of place is likely to be such a centre of creativity? I distinguish two cases, the second of which poses a problem for diffusionism.
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  39. African Jurisprudence as Historical Co-extension of Diffused Legal Theories.Leye Komolafe - 2022 - Thought and Practice: A Journal of the Philosophical Association of Kenya 8 (1):51-68.
    African jurisprudence, like African philosophy, continues to be hotly debated. This article contends that the debate straddles the uniqueness claim which either emphasises the existence or possibility of a peculiar legal framework on the continent, and a historical co-extensional position reiterating that African jurisprudence is a continuum of other legal traditions. The article argues that there is no uniquely African jurisprudence, and that what obtains within the structures of jurisprudence on the continent also exists within various legal traditions elsewhere, and (...)
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  40.  81
    “One Note Samba” approach to cosmology: How to connect Bose-Einstein Condensate, Ermakov-Pinney equation, Scalar Field Cosmology and Feshbach Resonance all at once.Victor Christianto & Florentin Smarandache - manuscript
    Inspired by “One Note Samba,” a standard jazz repertoire, we present an outline of Bose-Einstein Condensate Cosmology (BECC). Although this approach seems awkward and a bit off the wall at first glance, it is not impossible to connect altogether BEC, Scalar Field Cosmology and Feshbach Resonance with Ermakov-Pinney equation. We also discuss shortly possible link with our previous paper, where we describe Newtonian Universe with Vortex in terms of Ermakov equation.
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  41. The Unified Equation of Gravity and QM: The Case of non-Relativistic Motion.Abuzaid Samir - 2014 - AL-Mukhatabat 11.
    We propose to simplify the problem of the unified theory of Quantum-Gravity through dealing first with the simple case of non-relativistic equations of Gravity and Quantum Mechanics. We show that unification of the two non-relativistic formalisms can be achieved through the joined classical and Quantum postulate that every natural body is composed of N identical final particles. This includes the current 'elementary' particles of the standard model such as quarks, photons, gluons, etc. Furthermore, we show that this opens a new (...)
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  42. Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule.P. Prabakaran & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 59.
    In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.
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  43. A Structural Equation Model of Writing Skills: Mixed Method.Merlyn E. Arevalo & Melissa C. Napil - 2023 - International Journal of Multidisciplinary Educational Research and Innovation 1 (4):37-59.
    The study's general objective is to determine the students' stance on the most appropriate model of writing skills, using Structural Equation Modeling (SEM) as a basic design in the relationship of self-regulated learning strategies, communicative learning strategies, learning grammatical strategies, and writing skills. This study used a mixed-method sequential explanatory design, in which quantitative design is more widely used than qualitative Creswell, J., & Creswell, D. (2017). The researcher used the stratified random sampling technique for selecting respondents and, by (...)
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  44. On the equation E=mc2.Sydney Ernest Grimm - manuscript
    In physics there are different opinions about the conceptual interpretation of Einstein’s famous equation that describes the equivalence between mass and energy. It is understandable that the equation has different interpretations because of the different points of view to interpret phenomenological reality. This paper is about the meaning of the equation in relation to the general concept of quantum field theory. In other words, reality is created by the underlying structure of the basic quantum fields.
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  45. A Derivation of Fluidic Maxwell-Proca Equations for Electrodynamics of Superconductors and Implication to Chiral Cosmology model.Victor Christianto, Florentin Smarandache & Yunita Umniyati - manuscript
    In a rather old paper, Mario Liu described a hydrodynamic Maxwell equations. While he also discussed potential implications of these new approaches to superconductors, such a discussion of electrodynamics of superconductors is made only after Tajmar’s paper. Therefore, in this paper we present for the first time a derivation of fluidic Maxwell-Proca equations. The name of fluidic Maxwell-Proca is proposed because the equations were based on modifying Maxwell-Proca and Hirsch’s theory of electrodynamics of superconductor. It is hoped that this paper (...)
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  46. A structural equation model of principals’ communication patterns, funds management and school-community relationship.Valentine Joseph Owan, John Asuquo Ekpenyong & Michael Ekpenyong Asuquo - 2021 - Journal of Pedagogical Sociology and Psychology 3 (1):1-18.
    Recent studies tend to explain the importance of communication in the organisation as well as prescribing the most commonly practised techniques adopted by school managers. Studies on financial management are quite limited with the available ones suggesting that poor financial management is a source of conflict between school leaders and host communities. Little seems to be known on the connection between principals’ communication patterns and funds’ management as predictors of school-community relationship. This study builds on existing studies and appears to (...)
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  47.  53
    Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics.Florentin Smarandache - 2024 - Neutrosophic Systems with Applications 15.
    We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).
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  48. Fishbones, Wheels, Eyes, and Butterflies: Heuristic Structural Reasoning in the Search for Solutions to the Navier-Stokes Equations.Lydia Patton - 2023 - In Lydia Patton & Erik Curiel (eds.), Working Toward Solutions in Fluid Dynamics and Astrophysics: What the Equations Don’t Say. Springer Verlag. pp. 57-78.
    Arguments for the effectiveness, and even the indispensability, of mathematics in scientific explanation rely on the claim that mathematics is an effective or even a necessary component in successful scientific predictions and explanations. Well-known accounts of successful mathematical explanation in physical science appeals to scientists’ ability to solve equations directly in key domains. But there are spectacular physical theories, including general relativity and fluid dynamics, in which the equations of the theory cannot be solved directly in target domains, and yet (...)
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  49. Towards Soliton Computer Based on Solitary Wave Solution of Maxwell Dirac equation: A Plausible Alternative to Manakov System.Victor Christianto & Florentin Smarandache - 2023 - Bulletin of Pure and Applied Sciences 42.
    In recent years, there are a number of proposals to consider collision-based soliton computer based on certain chemical reactions, namely Belousov-Zhabotinsky reaction, which leads to soliton solutions of coupled Nonlinear Schroedinger equations. They are called Manakov System. But it seems to us that such a soliton computer model can also be based on solitary wave solution of Maxwell-Dirac equation, which reduces to Choquard equation. And soliton solution of Choquard equation has been investigated by many researchers, therefore it (...)
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  50. Sensation-growth equations for non-zero threshold sensation, evaluated using non-traditional, bounded Fechnerian integration, for Fechner’s Law and for Ekman’s Law, using 12 different Weber Fractions.Lance Nizami - 2020 - In InterNoise 2020. Seoul, South Korea: pp. 1-16.
    An ongoing mystery in sensory science is how sensation magnitude F(I), such as loudness, increases with increasing stimulus intensity I. No credible, direct experimental measures exist. Nonetheless, F(I) can be inferred algebraically. Differences in sensation have empirical (but non-quantifiable) minimum sizes called just-noticeable sensation differences, ∆F, which correspond to empirically-measurable just-noticeable intensity differences, ∆I. The ∆Is presumably cumulate from an empirical stimulus-detection threshold I_th up to the intensity of interest, I. Likewise, corresponding ∆Fs cumulate from the sensation at the stimulus-detection (...)
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