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Relevant bibliographies by topics / MATHEMATICAL EQUATION

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Academic literature on the topic 'MATHEMATICAL EQUATION'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "MATHEMATICAL EQUATION"

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Mosnegutu, Emilian, Mirela Panainte-Lehadus, Valentin Nedeff, Claudia Tomozei, Narcis Barsan, Dana Chitimus, and Marcin Jasinski. "Extraction of Mathematical Correlations Applied in the Aerodynamic Separation of Solid Particles." Processes 10, no. 7 (June 21, 2022): 1234. http://dx.doi.org/10.3390/pr10071234.

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This article describes the methodology used to identify the mathematical equation that describes the correlations between the input and output parameters of an experiment. As a technological process, aerodynamic separation was chosen to represent the behavior of a solid particle within an ascending vertical airflow. The experimental data were used to identify two parameters, namely the average linear velocity and the angular velocity. The Table Curve 3D program was used to develop a mathematical equation describing the dependence between the input parameters (the shape and size of the solid particle, as well as the velocity of the airflow) and the monitored parameters. A pyramid-type analysis (following a filtering system, a general equation was determined from a large number of equations that characterize an experimental set mathematically) was designed in order to determine a single mathematical equation that describes the correlation between the input variables and those obtained as accurately as possible. The determination of the mathematical equation started with the number of equations generated by the Table Curve 3D program; then, the equations with a correlation coefficient greater than 0.85 were chosen; and finally, the common equations were identified. Respecting the working methodology, one equation was identified, which has for the average linear velocity, a correlation coefficient r2 of between 0.88–0.99 and 0.86–0.99 for the angular velocity.

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Fauzi, Ahmad, Dwi Teguh Rahardjo, Utoro Romadhon, and Kunthi Ratna Kawuri. "Using Spreadsheet Modeling in Basic Physics Laboratory Practice for Physics Education Curriculum." International Journal of Science and Applied Science: Conference Series 2, no. 1 (December 10, 2017): 8. http://dx.doi.org/10.20961/ijsascs.v2i1.16666.

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<p class="Abstract">Physics is one of a branch of science which uses much of mathematical concept. Usually, the concept of physics is expressed in a mathematical equation; it will make physics easier to be understood. Therefore, the students need to understand about mathematical modelling to help them understand physics. Students who take fundamental physics and physics laboratory course required to understand the concept of feedback that is mathematically expressed in differential equations. However, most of the students have not been taught the concept of differential equations at early semester. Therefore, we are interested in reviewing the use of mathematical modelling with a spreadsheet in the case of feedback that is integrated with laboratory practice. The results of this study indicate that students gave positive perceptions and improve their ability in understanding the concept of feedback that is mathematically expressed in the differential equation.<strong></strong></p>

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Shinde, Rajwardhan, Onkar Dherange, Rahul Gavhane, Hemant Koul, and Nilam Patil. "HANDWRITTEN MATHEMATICAL EQUATION SOLVER." International Journal of Engineering Applied Sciences and Technology 6, no. 10 (February 1, 2022): 146–49. http://dx.doi.org/10.33564/ijeast.2022.v06i10.018.

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With recent developments in Artificial intelligence and deep learning every major field which is using computers for any type of work is trying to ease the work using deep learning methods. Deep learning is used in a wide range of fields due to its diverse range of applications like health, sports, robotics, education, etc. In deep learning, a Convolutional neural network (CNN) is being used in image classification, pattern recognition, Text classification, face recognition, live monitoring systems, handwriting recognition, Digit recognition, etc. In this paper, we propose a system for educational use where the recognition and solving process of mathematical equations will be done by machine. In this system for recognition of equations, we use a Convolutional neural network (CNN) model. The proposed system can recognize and solve mathematical equations with basic operations (-,+,/,*) of multiple digits as well as polynomial equations. The model is trained with Modified National Institute of Standards and Technology (MNIST) dataset as well as a manually prepared dataset of operator symbols (“-”,”+”, “/”, “*”, “(“, “)” ). Further, the system uses the RNN model to solve the recognized operations.

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ERTEKİN, Özlem. "Example of A Kinetic Mathematical Modeling in Food Engineering." ITM Web of Conferences 22 (2018): 01029. http://dx.doi.org/10.1051/itmconf/20182201029.

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Mathematical modeling of biochemical, chemical reaction processes facilitates understanding. The kinetics of these reaction processes can be analyzed mathematically and kinetics are presented as systems of differential equations. Mathematical model of a reaction kinetic is studied in this study. Bernoulli-Sub equation function method is used in this study. This example can be new model for food engineering applications.

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Elías-Zúñiga, Alex, and Oscar Martínez-Romero. "Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/670845.

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The aim of this paper focuses on applying a nonlinearization method to transform forced, damped nonlinear equations of motion of oscillatory systems into the well-known forced, damped Duffing equation. The accuracy obtained from the derived equivalent equations of motion is evaluated by studying the amplitude-time, the phase portraits, and the continuous wavelet transform diagrams of the cubic-quintic Duffing equation, the generalized pendulum equation, the power-form elastic term oscillator, the Duffing equation with linear and cubic damped terms, and the pendulum equation with a cubic damped term.

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Kranysˇ, M. "Causal Theories of Evolution and Wave Propagation in Mathematical Physics." Applied Mechanics Reviews 42, no. 11 (November 1, 1989): 305–22. http://dx.doi.org/10.1115/1.3152415.

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There are still many phenomena, especially in continuum physics, that are described by means of parabolic partial differential equations whose solution are not compatible with the causality principle. Compatibility with this principle is required also by the theory of relativity. A general form of hyperbolic operators for the most frequently occurring linear governing equations in mathematical physics is written down. It is then easy to convert any given parabolic equation to the hyperbolic form without necessarily entering into the cause of the inadequacy of the governing equation. The method is verified on the well-known example of Timoshenko’s correction of the Bernoulli–Euler–Rayleigh beam equation for flexural motion. The “Love–Rayleigh” fourth-order differential equations for the longitudinal and torsional wave propagation in the rod is generalized with this method. The hyperbolic version (not to mention others) of the linear Korteweg–de Vries equation and of the “telegraph” equation governing electromagnetic wave propagation through relaxing material are given. Lagrangians of all the equations studied are listed. For all the reasons given we believe the hyperbolic governing equations to be physically and mathematically more realistic and adequate.

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Khan, Kamruzzaman, M. Ali Akbar, and Norhashidah Hj Mohd Ali. "The Modified Simple Equation Method for Exact and Solitary Wave Solutions of Nonlinear Evolution Equation: The GZK-BBM Equation and Right-Handed Noncommutative Burgers Equations." ISRN Mathematical Physics 2013 (February 25, 2013): 1–5. http://dx.doi.org/10.1155/2013/146704.

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The modified simple equation method is significant for finding the exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this paper, we bring in the modified simple equation (MSE) method for solving NLEEs via the Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony (GZK-BBM) equation and the right-handed noncommutative Burgers' (nc-Burgers) equations and achieve the exact solutions involving parameters. When the parameters are taken as special values, the solitary wave solutions are originated from the traveling wave solutions. It is established that the MSE method offers a further influential mathematical tool for constructing the exact solutions of NLEEs in mathematical physics.

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Lim, Kien, and Christopher Yakes. "Using Mathematical Equations to Communicate and Think About Karma." Journal of Humanistic Mathematics 11, no. 1 (January 2021): 300–317. http://dx.doi.org/10.5642/jhummath.202101.14.

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Two equations are presented in this article to communicate a particular understanding of karma. The first equation relates future experiences to past and present actions. Although the equation uses variables and mathematical symbols such as the integral sign and summation symbol, it reads more like a literal translation of an English sentence. Based on the key idea in the first equation, a second equation is then created to highlight the viability of using math to communicate concepts that are not readily quantifiable. Analyzing such equations can stimulate thinking, enhance understanding of spiritual concepts, raise issues, and uncover tensions between our ordinary conceptions of external reality and transcendental aspects of spirituality.

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Abu Doush, Iyad, and Sondos Al-Bdarneh. "Automatic Semantic Generation and Arabic Translation of Mathematical Expressions on the Web." International Journal of Web-Based Learning and Teaching Technologies 8, no. 1 (January 2013): 1–16. http://dx.doi.org/10.4018/jwltt.2013010101.

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Automatic processing of mathematical information on the web imposes some difficulties. This paper presents a novel technique for automatic generation of mathematical equations semantic and Arabic translation on the web. The proposed system facilitates unambiguous representation of mathematical equations by correlating equations to their known names. The ability to extract the equation meaning from its structure is vital when searching for mathematical equations. The general structure of the equation is recognized to identify the equation meaning. On the other hand, people who cannot understand Latin script notation of mathematical expressions have difficulty when they try to read them on the web as it is available mostly in Latin. Arabic mathematical expressions flow from right to left and they use specific symbols. The proposed system automatically translates the mathematical equations from Latin to Arabic. This translation can be combined with the text translation of mathematical web contents (generated by online tools) to be recognized by the people who understand only Arabic text. The proposed system is implemented using Java and it is evaluated using a set of web pages with MathML contents which is rendered in Mozilla web browser.

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Seadawy, Aly, Asghar Ali, and Noufe Aljahdaly. "The nonlinear integro-differential Ito dynamical equation via three modified mathematical methods and its analytical solutions." Open Physics 18, no. 1 (March 10, 2020): 24–32. http://dx.doi.org/10.1515/phys-2020-0004.

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AbstractIn this work, we construct traveling wave solutions of (1+1) - dimensional Ito integro-differential equation via three analytical modified mathematical methods. We have also compared our achieved results with other different articles. Portrayed of some 2D and 3D figures via Mathematica software demonstrates to understand the physical phenomena of the nonlinear wave model. These methods are powerful mathematical tools for obtaining exact solutions of nonlinear evolution equations and can be also applied to non-integrable equations as well as integrable ones. Hence worked-out results ascertained suggested that employed techniques best to deal NLEEs.

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Dissertations / Theses on the topic "MATHEMATICAL EQUATION"

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Wilkerson, Dorian. ""Mathermatical Analysis of a Truly Nonlinear Oscillator Differential Equation"." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 2009. http://digitalcommons.auctr.edu/dissertations/101.

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Stahl, Levi Russell. "OBJECT ORIENTED DEVELOPMENT OF A MATHEMATICAL EQUATION EDITOR." MSSTATE, 2005. http://sun.library.msstate.edu/ETD-db/theses/available/etd-07062005-173340/.

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Computers since their inception have been used to solve engineering problems. Toward support of next-generation, customizable, generalized software, a mathematical equation editor has been designed, developed, and tested using object oriented (OO) programming techniques. The motivating purpose of this equation editor is to allow a user to graphically define mathematical equations to be solved in a computational partial differential equation-based problem solving environment. The OO scripting language Python was used in conjunction with the OO GUI toolkit Qt to create the editor. Analysis of the underlying abstraction of a general equation yielded the key concept of an information-holding bounding box. Such boxes hierarchically contain every character and symbol in an equation. Specific rules were formulated to spatially arrange a set of boxes into a properly formatted equation. Robust insertion logic of alphanumeric characters, mathematical symbols, and common function names was implemented for intuitive point-and-click equation building.

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Sakamoto, Shota. "Mathematical analysis of global solutions to the Boltzmann equation." 京都大学 (Kyoto University), 2017. http://hdl.handle.net/2433/225680.

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Tzou, Leo. "Linear and nonlinear analysis and applications to mathematical physics /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5761.

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Flegg, Jennifer Anne. "Mathematical modelling of chronic wound healing." Thesis, Queensland University of Technology, 2009. https://eprints.qut.edu.au/40164/1/Jennifer_Flegg_Thesis.pdf.

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Chronicwounds fail to proceed through an orderly process to produce anatomic and functional integrity and are a significant socioeconomic problem. There is much debate about the best way to treat these wounds. In this thesis we review earlier mathematical models of angiogenesis and wound healing. Many of these models assume a chemotactic response of endothelial cells, the primary cell type involved in angiogenesis. Modelling this chemotactic response leads to a system of advection-dominated partial differential equations and we review numerical methods to solve these equations and argue that the finite volume method with flux limiting is best-suited to these problems. One treatment of chronic wounds that is shrouded with controversy is hyperbaric oxygen therapy (HBOT). There is currently no conclusive data showing that HBOT can assist chronic wound healing, but there has been some clinical success. In this thesis we use several mathematical models of wound healing to investigate the use of hyperbaric oxygen therapy to assist the healing process - a novel threespecies model and a more complex six-species model. The second model accounts formore of the biological phenomena but does not lend itself tomathematical analysis. Bothmodels are then used tomake predictions about the efficacy of hyperbaric oxygen therapy and the optimal treatment protocol. Based on our modelling, we are able to make several predictions including that intermittent HBOT will assist chronic wound healing while normobaric oxygen is ineffective in treating such wounds, treatment should continue until healing is complete and finding the right protocol for an individual patient is crucial if HBOT is to be effective. Analysis of the models allows us to derive constraints for the range of HBOT protocols that will stimulate healing, which enables us to predict which patients are more likely to have a positive response to HBOT and thus has the potential to assist in improving both the success rate and thus the cost-effectiveness of this therapy.

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Karlsson, Olle. "The Black-Scholes Equation and Formula." Thesis, Uppsala universitet, Analys och tillämpad matematik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-200441.

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Pierantozzi, Mariano. "Mathematical modeling for Thermodynamics: Thermophysical Properties and Equation of State." Doctoral thesis, Università Politecnica delle Marche, 2015. http://hdl.handle.net/11566/242931.

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Nelle moderne società multiculturali e multidisciplinari, sempre di più si devono adottare delle prospettive più ampie possibili. In questa tesi, si è tentato di adottare un metodo multidisciplinare che coinvolgesse non solo la matematica e la fisica, ma anche la chimica, la statistica, e più in generale l’ingegneria. Gli aspetti toccati sono quelli delle proprietà termofisiche della materia e delle equazioni di stato dei gas (EOS). Le proprietà termofisiche analizzate sono: tensione superficiale, conduttività termica, viscosità, dei liquidi e dei gas ed il secondo coefficiente del viriale. Dopo la raccolta dei dati sperimentali, essi sono stati analizzati con varie tecniche statistiche che trasformassero i dati grezzi in dati più attendibili. Dopo lo studio delle equazioni della letteratura si è proceduto con uno studio di sensibilità dei dati per vedere quali proprietà fisiche avessero maggiore impatto sulle proprietà studiate. Infine si è cercata un’equazione che potesse rappresentare nel migliore modo possibile i dati sperimentali. Si sono sempre preferite equazioni scalate ad equazioni puramente empiriche, in modo da avere non solo l’aderenza ai dati sperimentali, ma anche il rispetto dell’aspetto chimico-fisico. Dall’analisi dei residui, confrontandoci con le migliori equazioni in letteratura, i nostri risultati sono sempre stati migliori, tanto che hanno avuto dignità di pubblicazione nelle maggiori riviste del settore. Discorso a parte per le EOS. Analizzando la letteratura, ciò che subito è saltato all’occhio è che cercare la migliore equazione possibile è impossibile! Oppure come dice Martin parafrasando una frase della favola Biancaneve: “Specchio specchio delle mie brame, qual è la più bella del reame?” Abbiamo scelto la modifica dell’equazione Carnahan-Starling-De Santis. Tramite tecniche di minimizzazione multi obiettivo si sono migliorate le performance di tal equazione proprio intorno al punto critico. Questi sono gli aspetti principali toccati in questo lavoro di tesi, che di là dai risultati, pur buoni ottenuti, mi ha aperto il mondo della ricerca.
Abstract In the modern multicultural and multidisciplinary society, always adopting more and more wider prospective than before. In this thesis, we try to adopt a multidisciplinary method, which involves Mathematics, Physics, but also Chemistry, Statistics, and in general the scientific engineering. The aspects explained are thermo physical properties, and Equations of State (EOS) of gases. Regarding thermo physical properties have been analysed Surface Tension, Thermal Conductivity, Viscosity, and the second virial coefficient. On this arguments, the work had been subdivided between the gathering of experimental data, the analysing of data with statistical techniques transforming them to more reliable data than row. The second step was to collect the equations of literature. Then we went ahead studying the sensibility of data to find out which physical properties could have bigger impact to property examined. At the end, we looked for an equation that could represent experimental data in a better way. We always preferred the scaled equations that respect chemical and physical aspects, to the empirical ones. Comparing our results with better equations in literature, our results are always better, in fact all of the have been published in the best international journals on this subject. A separate discussion is that of EOS. Analyzing the previous literature, the first thing that came to our minds was that to find the best possible equation is impossible. Or as Martin wrote copying words of the famous fables Snow White: “Mirror mirror on the wall, who is the fairest of them all?”. We choose to modify The Carnahan-Starling-De Santis (CSD) equation of state, a parametrich equation with good results in the calculation of Vapor Liquid Equilibrium. Due to multi objective minimization techniques the performance of CSD has been improved. These are the principals aspect brought to light in this research, which apart from the results, with good results has opened to me the world of research.

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Beech, Robert. "Extensions of the nonlinear Schrödinger equation using Mathematica." Thesis, View thesis, 2009. http://handle.uws.edu.au:8081/1959.7/46572.

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The aim of this thesis is to investigate the theory of the extensions of the Nonlinear Schrödinger Equation (NLSE), concentrating on the following main points: Developing further analytical techniques and properties under relativistic conditions. This thesis demonstrates numerical techniques that can be used to form numerical codes that can be applied to the very recent need for source and industrial application of laser-driven ion sources for ion implantation. The analytical and numerical evaluations of the nonlinear mechanisms are measured utilising various techniques that include computer packages such as Mathematica(R) [Wolfram 2003]1, Maple™ 9 [2003] and C++© [Strousop 2003]. This project expands the author’s present undergraduate honours research work on the theory of Schrödinger equations. The breaking of light waves: in the course of this research the breaking of light waves was the first new phenomenon to be encountered. The highest authority on this subject [Zakharov and Shabat 1972], Prof. Zakharov, advised me [Zakharov 2004] that this topic was at that time not researched in any detail. It was envisaged that entering more fully into this area of research using Mathematica version 5 [Wolfram 2003], which had been recently released (June 2003) and which is uniquely adapted for such research, would be the most profitable direction to go. The intention was to research the behaviour of radiation from the soliton in respect of the higher order (dispersion) term in the NLSE. This research was expected to reveal its properties and consequences and possibly new ways in which this radiation can be predicted, controlled, eliminated or otherwise profitably manipulated. These results are considered vital to the uses of solitons, particularly in optical fibre telecommunications. Numerical artefacts: At this juncture the direction of the research changed in a way that had not been anticipated. The compilation and execution of Mathematica codes, now advanced to the use of new techniques and iterative methods such as the Split-Step Method, had been anticipated to clearly show the existence of secondary and possibly tertiary radiation attending the soliton. It had also been anticipated that this would confirm the theory that this radiation attended only solitons resulting from the cubic, and odd numbered, higher-order NLSE. The first assumption simply did not materialise and the second was not at all up to expectations. At best, the results coming from this line of investigation could only show that solitons derived from the even numbered, or quadratic higher-order NLSEs were in some ways fundamentally different from the odd numbered or cubic ones. These setbacks all resulted from a phenomenon, hitherto unanticipated as a problem to this program of research, namely ‘numerical artefact’ in Mathematica [Beech and Osman 2005: 1369; See Appendix I Paper 3]. This reduced Paper 3 [ibid] ‘Effects of higher order dispersion terms in the nonlinear Schrödinger Equation’ from a serious contribution in this field to a scathing criticism of the use of iterative methods in computerised mathematics.

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Ahmad, Ferhana. "A stochastic partial differential equation approach to mortgage backed securities." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:ee33aa2d-b9fa-4cc4-a399-5f681966bc77.

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The market for mortgage backed securities (MBS) was active and fast growing from the issuance of the first MBS in 1981. This enabled financial firms to transform risky individual mortgages into liquid and tradable market instruments. The subprime mortgage crisis of 2007 shows the need for a better understanding and development of mathematical models for these securities. The aim of this thesis is to develop a model for MBS that is flexible enough to capture both regular and subprime MBS. The thesis considers two models, one for a single mortgage in an intensity based framework and the second for mortgage backed securities using a stochastic partial differential equation approach. In the model for a single mortgage, we capture the prepayment and default incentives of the borrower using intensity processes. Using the minimum of the two intensity processes, we develop a nonlinear equation for the mortgage rate and solve it numerically and present some case studies. In modelling of an MBS in a structural framework using stochastic PDEs (SPDEs), we consider a large number of individuals in a mortgage pool and assume that the wealth of each individual follows a stochastic process, driven by two Brownian mo- tions, one capturing the idiosyncratic noise of each individual and the second a common market factor. By defining the empirical measure of a large pool of these individuals we study the evolution of the limit empirical measure and derive an SPDE for the evolution of the density of the limit empirical measure. We numerically solve the SPDE to demonstrate its flexibility in different market environments. The calibration of the model to financial data is the focus of the final part of thesis. We discuss the different parameters and demonstrate how many can be fitted to observed data. Finally, for the key model parameters, we present a strategy to estimate them given observations of the loss function and use this to determine implied model parameters of ABX.HE.

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Sum, Kwok-wing Anthony, and 岑國榮. "Partial differential equation based methods in medical image processing." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B38958624.

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Books on the topic "MATHEMATICAL EQUATION"

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Selvadurai, A. P. S. Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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Berezin, F. A. The Schrödinger equation. Dordrecht: Kluwer Academic Publishers, 1991.

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Bittanti, Sergio. The Riccati Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991.

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Anikonov, D. S. Transport equation and tomography. Utrecht: VSP, 2002.

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The porous medium equation: Mathematical theory. Oxford: Clarendon, 2007.

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A, Bollen Kenneth, and Long J. Scott, eds. Testing structural equation models. Newbury Park: Sage Publications, 1993.

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Lettau, Martin. Euler equation errors. Cambridge, MA: National Bureau of Economic Research, 2005.

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M, Jimbo, ed. Yang-Baxter equation in integrablesystems. Singapore: World Scientific, 1990.

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Hong, Sung-Min. Deterministic solvers for the Boltzmann transport equation. Wein: Springer, 2011.

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M, Jimbo, ed. Yang-Baxter equation in integrable systems. Singapore: World Scientific, 1990.

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Book chapters on the topic "MATHEMATICAL EQUATION"

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Hassani, Sadri. "Laplace’s Equation." In Mathematical Methods, 519–86. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-0-387-21562-4_12.

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Balakrishnan, V. "The Diffusion Equation." In Mathematical Physics, 689–717. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39680-0_30.

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Balakrishnan, V. "The Wave Equation." In Mathematical Physics, 719–31. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39680-0_31.

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Fursaev, Dmitri, and Dmitri Vassilevich. "Heat Equation." In Theoretical and Mathematical Physics, 67–94. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0205-9_4.

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Karapetyants, Alexey N., and Vladislav V. Kravchenko. "Helmholtz Equation." In Methods of Mathematical Physics, 353–75. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17845-0_14.

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Kuniba, Atsuo. "Tetrahedron Equation." In Theoretical and Mathematical Physics, 9–19. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3262-5_2.

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Zudin, Yuri B. "Hyperbolic Heat Conduction Equation." In Mathematical Engineering, 183–200. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-53445-8_9.

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Maccone, Claudio. "The statistical Drake equation." In Mathematical SETI, 3–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27437-4_1.

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Zudin, Yuri B. "Hyperbolic Heat Conduction Equation." In Mathematical Engineering, 201–27. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25167-2_9.

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Gliklikh, Yuri. "The Langevin Equation." In Applied Mathematical Sciences, 87–94. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1866-1_5.

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Conference papers on the topic "MATHEMATICAL EQUATION"

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Gupta, Riya, Yogesh Deshpande, and Manasi Kulkarni. "Handwritten Mathematical Equation Recognition and Solver." In 2022 3rd International Conference on Issues and Challenges in Intelligent Computing Techniques (ICICT). IEEE, 2022. http://dx.doi.org/10.1109/icict55121.2022.10064565.

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Benedikter, N. "Deriving the Gross-Pitaevskii equation." In QMath12 – Mathematical Results in Quantum Mechanics. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814618144_0014.

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CARLEN, ERIC. "On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0001.

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Zahari, N. M., S. H. Sapar, and K. A. Mohd Atan. "On the Diophantine equation." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801234.

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Bouchefra, Djahida, and Badredine Boudjedaa. "The explicit relation between the DKP equation and the Klein-Gordon equation." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136204.

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"Integral equation techniques." In 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory. IEEE, 2008. http://dx.doi.org/10.1109/mmet.2008.4580983.

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Willem, Michel. "Ground states and multiple solutions for the Hénon equation." In MATHEMATICAL ANALYSIS AND APPLICATIONS: International Conference on Mathematical Analysis and Applications. AIP, 2006. http://dx.doi.org/10.1063/1.2205045.

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Collins, Michael D. "Parabolic Equation Techniques for Range-Dependent Seismo-Acoustics." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena. AIP, 2006. http://dx.doi.org/10.1063/1.2205796.

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Laili, Muhammad S., Noradila Yusof, Zetty N. Zakaria, and Noor A. Mohd Razali. "Modeling of Mathematical Equation for Determining Breakdown Voltage." In 2013 1st International Conference on Artificial Intelligence, Modelling & Simulation (AIMS). IEEE, 2013. http://dx.doi.org/10.1109/aims.2013.90.

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Shrivastava, Diksha, Rishabh Sinha, Surbhi Saraswat, Hari Prabhat Gupta, and Tanima Dutta. "A mathematical equation solving system using accelerometer sensor." In 2018 10th International Conference on Communication Systems & Networks (COMSNETS). IEEE, 2018. http://dx.doi.org/10.1109/comsnets.2018.8328224.

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Reports on the topic "MATHEMATICAL EQUATION"

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Mickens, Ronald E. Mathematical and Numerical Studies of Nonstandard Difference Equation Models of Differential Equations. Office of Scientific and Technical Information (OSTI), December 2008. http://dx.doi.org/10.2172/965764.

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Mickens, Ronald E. Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report. Office of Scientific and Technical Information (OSTI), October 2001. http://dx.doi.org/10.2172/805475.

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Mickens, R. E. Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report, September 1995--September 1997. Office of Scientific and Technical Information (OSTI), December 1997. http://dx.doi.org/10.2172/607508.

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Kozmina, Jelena, and Alytis Gruodis. Tool QUATTRO-20 for Examining of the Recurrent Sequencies Generated by Discrete Analogue of the Verhulst Equation. Publishing House - Vilnius Business College, June 2023. http://dx.doi.org/10.57005/ab.2023.1.3.

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Abstract:

QUATTRO-20 as advanced tool for estimation of the recurrent sequences was created and tested. Discrete analogue of Verhulst equation x(t+1)=F(x(t)), F(x)=rx(1-x), t=0, 1, 2, ..., was selected as the model of recurrent sequence. Related mathematical material is presented in user-friendly form: convergence conditions, Lyapunov index, behaviour of the sequencies generated by second, third, fourth compositions of function F(x). QUATTRO-20 contains several visualization methods such as xy plot, Bifurcation diagram, distribution of Lyapunov index, CobWeb plot, graphical solution. Novel graphical technique of realization of the sequence convergence was presented.

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Keller, H. B., and H. O. Kreiss. Mathematical Software for Hyperbolic Equations and Two Point Boundary Value Problems. Fort Belvoir, VA: Defense Technical Information Center, February 1985. http://dx.doi.org/10.21236/ada151982.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, November 1993. http://dx.doi.org/10.21236/ada275582.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Fort Belvoir, VA: Defense Technical Information Center, October 1990. http://dx.doi.org/10.21236/ada231188.

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Pulov,, Vladimir, and Ivan Uzunov. • Finding Lie Symmetries of Partial Differential Equations with MATHEMATICA®: Applications to Nonlinear Fiber Optics. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-280-291.

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Keith, B., A. Apostolatos, A. Kodakkal, R. Rossi, R. Tosi, B. Wohlmuth, and C. Soriano. D2.3. Adjoint-based error estimation routines. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.022.

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This document presents a simple and ecient strategy for adaptive mesh renement (AMR) and a posteriori error estimation for the transient incompressible Navier{Stokes equations. This strategy is informed by the work of Prudhomme and Oden [22, 23] as well as modern goal-oriented methods such as [5]. The methods described in this document have been implemented in the Kratos Multiphysics software and uploaded to https://zenodo.org [27].1 This document includes: A review of the state-of-the-art in solution-oriented and goal-oriented AMR. The description of a 2D benchmark model problem of immediate relevance to the objectives of the ExaQUte project. The denition and a brief mathematical summary of the error estimator(s). The results obtained. A description of the API.

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Peters, Vanessa, Deblina Pakhira, Latia White, Rita Fennelly-Atkinson, and Barbara Means. Designing Gateway Statistics and Chemistry Courses for Today’s Students: Case Studies of Postsecondary Course Innovations. Digital Promise, August 2022. http://dx.doi.org/10.51388/20.500.12265/162.

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Scholars of teaching and learning examine the impacts of pedagogical decisions on students’ learning and course success. In this report, we describes findings from case studies of eight innovative postsecondary introductory statistics and general chemistry courses that have evidence of improving student completion rates for minoritized and low-income students. The goal of the case studies was to identify the course design elements and pedagogical practices that were implemented by faculty. To identify courses, Digital Promise sought nominations from experts in statistics and chemistry education and reviewed National Science Foundation project abstracts in the Improving Undergraduate STEM Education (IUSE) program. The case studies courses were drawn from 2- and 4-year colleges and were implemented at the level of individual instructors or were part of a department or college-wide intervention. Among the selected courses, both introductory statistics (n = 5) and general chemistry (n = 3) involved changes to the curriculum and pedagogy. Curricular changes involved a shift away from teaching formal mathematical and chemical equations towards teaching that emphasizes conceptual understanding and critical thinking. Pedagogical changes included the implementation of peer-based active learning, formative practice, and supports for students’ metacognitive and self-regulation practices.

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