Academic literature on the topic 'Fields of Research – 230000 Mathematical Sciences'
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Journal articles on the topic "Fields of Research – 230000 Mathematical Sciences"
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Cedeño, Hugo Romeo Cedeño, and Telly Yarita Macías Zambrano. "Analysis of Latin American literature through a mathematical lens." International journal of social sciences 4, no. 1 (May 18, 2021): 141–47. http://dx.doi.org/10.31295/ijss.v4n1.1524.
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Several of the most influential Latin American writers were interested in the sciences. Moreover, a handful showed an affinity to mathematics since childhood, eventually following careers as physicists, engineers, and mathematicians before turning their attention to the arts. In the end, they became novelists, essayists, and poets, who made significant contributions to their field. There is a large amount of existent traditional literature analysis research on Latin American authors. In the last sixteen years, research has shifted to include a focus on the connection between math and literature. However, this research focuses on interpreting the ideas of the universally acclaimed writer Jorge Luis Borges, studying his scientific thinking through his works, and demonstrating the writings included both basic and advanced math concepts even though he lacked a formal mathematical and scientific formation. Currently, there is a gap in the research that ignores the influential Latin American authors who were also prolific in mathematics. As a math and engineering student, I am interested in studying the work of Latin American writers with academic backgrounds in STEM fields--specifically mathematics. I intend to examine the writings of Ernesto Sabato, Guillermo Martinez, and Nicanor Parra for explicit math terminology and concepts.
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Corry, Leo. "Linearity and Reflexivity in the Growth of Mathematical Knowledge." Science in Context 3, no. 2 (1989): 409–40. http://dx.doi.org/10.1017/s0269889700000880.
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The ArgumentRecent studies in the philosophy of mathematics have increasingly stressed the social and historical dimensions of mathematical practice. Although this new emphasis has fathered interesting new perspectives, it has also blurred the distinction between mathematics and other scientific fields. This distinction can be clarified by examining the special interaction of the body and images of mathematics.Mathematics has an objective, ever-expanding hard core, the growth of which is conditioned by socially and historically determined images of mathematics. Mathematics also has reflexive capacities unlike those of any other exact science. In no other exact science can the standard methodological framework used within the discipline also be used to study the nature of the discipline itself.Although it has always been present in mathematical research, reflexive thinking has become increasingly central to mathematics over the past century. Many of the images of the discipline have been dictated by the increase in reflexive thinking which has also determined a great portion of the contemporary philosophy and historiography of mathematics.
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Estes, W. K. "Significance Testing in Psychological Research: Some Persisting Issues." Psychological Science 8, no. 1 (January 1997): 18–20. http://dx.doi.org/10.1111/j.1467-9280.1997.tb00538.x.
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Empirical surveys show that reports of significance tests appear in the vast majority of articles in psychological research journals and are relied on by both investigators and journal reviewers when making decisions about replication of experiments and submission and acceptance of research reports Evaluation of claims by critics that significance testing is, nonetheless, counterproductive yields suggestions for improvements of prevailing practices, but also the recommendation that decisions about significance testing versus alternative procedures should remain the province of the individual investigator, unconstrained by mandates or prohibitions by publishers or officials of scientific associations The prime focus for efforts toward improvement of research design and data analysis in psychology and other behavioral sciences should be upgrading the mathematical and general scientific preparation of students preparing for research careers in these fields
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Witkovský, Viktor, and Ivan Frollo. "Measurement Science is the Science of Sciences - There is no Science without Measurement." Measurement Science Review 20, no. 1 (February 1, 2020): 1–5. http://dx.doi.org/10.2478/msr-2020-0001.
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AbstractOmnia in mensura et numero et pondere disposuisti is a famous Latin phrase from Solomon’s Book of Wisdom, dated to the mid first century BC, meaning that all things were ordered in measure, number, and weight. Naturally, the wisdom is appearing in its relation to man. The Wisdom of Solomon is understood as the perfection of knowledge of the righteous as a gift from God showing itself in action. Consequently, a natural and obvious conjecture is that measurement science is the science of sciences. In fact, it is a basis of all experimental and theoretical research activities. Each measuring process assumes an object of measurement. Some science disciplines, such as quantum physics, are still incomprehensible despite complex mathematical interpretations. No phenomenon is a real phenomenon unless it is observable in space and time, that is, unless it is a subject to measurement. The science of measurement is an indispensable ingredient in all scientific fields. Mathematical foundations and interpretation of the measurement science were accepted and further developed in most of the scientific fields, including physics, cosmology, geology, environment, quantum mechanics, statistics, and metrology. In this year, 2020, Measurement Science Review celebrates its 20th anniversary and we are using this special opportunity to highlight the importance of measurement science and to express our faith that the journal will continue to be an excellent place for exchanging bright ideas in the field of measurement science. As an illustration and motivation for usage and further development of mathematical methods in measurement science, we briefly present the simple least squares method, frequently used for measurement evaluation, and its possible modification. The modified least squares estimation method was applied and experimentally tested for magnetic field homogeneity adjustment.
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CHENTSOV, A. G. "NIKOLAI NIKOLAYEVICH KRASOVSKII: AN EXTRAORDINARY RUSSIAN SCIENTIST." International Game Theory Review 16, no. 02 (April 3, 2014): 1476001. http://dx.doi.org/10.1142/s0219198914760019.
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In 2012, the scientific world has lost N.N. Krasovskii, an extraordinary mathematician and mechanician whose works have prominently influenced a number of mathematic fields: differential equations, optimal control, and dynamic games theory. His research had profound effects on the development of mathematical research and education. In addition to his distinguished scientific contributions many of N.N. Krasovskiis disciples are academicians and corresponding members of the Russian Academy of Sciences, doctors and candidates of science, professors and engineers.
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Stelmah, Yanina Gennadievna. "Special aspects of academic bachelors’ mathematical training." Samara Journal of Science 5, no. 2 (June 1, 2016): 185–89. http://dx.doi.org/10.17816/snv20162311.
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The analysis of federal state educational standards of higher education (FSES) allowed to identify the research activity and different kinds of project activities (design and project ones) as one of the basic standards for academic bachelor programmes of various courses. A graduate that has mastered this programme should be ready to meet the professional challenges demanding from him specific knowledge and skills in different fields, including Mathematics and he should obtain them while studying at university. Specific aspects of academic bachelors mathematical training should be taken into consideration in terms of academic activities. In this article we interpret the aspects of academic bachelors mathematical training as the academic activities based on personalizing the academic studies and implying an efficient combination of teaching ready to learn knowledge and the ways of its obtaining while solving the goals corresponding in their structures to the types of professional activities. At the same time we consider the personalizing of the academic studies as the process of projecting their own studies by the students themselves. The carried out analysis of scientific literature, of kinds of professional activity and of Mathematics activities allowed to specify the following features of bachelors mathematical training: Mathematics is a research tool for most sciences and for facing professional challenges; an academic potential is expressed in mindset formation; there is a high level of fundamentalization of mathematic operations while facing future professional goals.
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MAFFIOLI, CESARE S. "SUL FILO DELLE ACQUE." Nuncius 8, no. 1 (1993): 41–74. http://dx.doi.org/10.1163/182539183x00037.
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Abstract<title> SUMMARY </title>This article wishes to demonstrate the importance of several areas of scientific research, until now neglected, and their relevance to Italian physical sciences in the age between Galileo and Volta. The science of waters, which joined the cluster of the new Galilean sciences in the seventeenth century in particular deserves greater attention if we are to understand the scientific traditions developed South of the Alps. This science represented an extension of the Galilean science of motion in an engineering context, a development that concerned both mathematical and experimental theories. This development took place in the border area between the physical and the mathematical sciences, and also involved the medical and naturalistic traditions. This line of tought led the Italian physical scientists to discover both new fields of research and new forms of social support, and hence overcome the crisis that followed the end of the historic Medicis patronage.
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HUBER, MARTIN C. E. "LESSONS FROM INTRODUCING NEW SCIENTIFIC DISCIPLINES INTO EUROPEAN SPACE RESEARCH." International Journal of Modern Physics D 16, no. 12a (December 2007): 1967–79. http://dx.doi.org/10.1142/s0218271807011437.
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Physics experiments in space will permit us to investigate natural phenomena that cannot be observed on the ground, such as low-frequency gravitational waves, and to reach uncharted realms of accuracy — accessible only through experiments carried out in space — where current foundations of physics can be further tested and potentially falsified. Such projects require technologies that have not been in hand for a long time but are available now. To avoid conflict of interest, the merit of space projects in physics, from the proposal stage through development, ought to be judged by experts in physics, rather than by space scientists from other fields. It is time now to set aside some funding to let missions in fundamental physics compete fairly with the established space sciences, thereby enriching and deepening the space enterprise — and broadening its advocacy base. We look, in the context of the European space scene, at the measures and events that resurrected the initially suppressed planetary sciences and brought solar physics to blooming after a long drought; and derive ideas on how to increase the number of flight opportunities for fundamental physics in space.
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Gavin, M. Katherine. "The Development of Math Talent: Influences on Students at a Women's College." Journal of Secondary Gifted Education 7, no. 4 (August 1996): 476–85. http://dx.doi.org/10.1177/1932202x9600700406.
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An examination of the distribution of women who earn doctorates in mathematics and science presents a picture of uneven advancement. Women are clustered in the life sciences with far fewer majoring in the physical sciences, mathematics, engineering, and computer sciences. Recent studies attempting to identify factors that influence a woman's choice of career in the mathematical fields have focused on either women who have completed doctorates or formal training in their chosen fields or women presently in graduate programs in mathematics. This study focuses on math majors still in college, specifically 16 females at a highly selective liberal arts women's college, and factors that influenced their choice of this major and future career plans. A qualitative research methodology was employed using questionnaires, interviews with the students and the mathematics faculty, participant observation in mathematics classrooms, and document reviews of college and departmental publications. Findings revealed that positive school experiences and certain shared personality characteristics were integral in students' decisions to continue the study of mathematics in college.
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Franzi, L., M. Arattano, M. Arai, and O. Katz. "Overview: Documentation and monitoring of landslides and debris flows for mathematical modelling and design of mitigation measures – outcomes of the EGU 2011, NH session." Natural Hazards and Earth System Sciences 13, no. 8 (August 8, 2013): 2013–16. http://dx.doi.org/10.5194/nhess-13-2013-2013.
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Abstract. The papers summarised in this paper represent the scientific contributions of several scientists, coming from different countries, who work in the fields of monitoring, modelling, mapping and design of mitigation measures against mass movements. The authors participated at the 2011 EGU General Assembly presenting the contributions summarised in this paper. At the General Assembly they had the opportunity to illustrate their recent advancements, discuss each other's needs and set forth future research requirements. The scientific contributions presented here can be considered the result of the debates and the exchanges regarding their original work presented at the General Assembly that occurred either personally during the open session or during the review phase of their manuscripts.
Dissertations / Theses on the topic "Fields of Research – 230000 Mathematical Sciences"
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Rubin, Sasha. "Automatic structures." Thesis, University of Auckland, 2004. http://hdl.handle.net/2292/1262.
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This thesis investigates structures that are presentable by finite automata working synchronously on tuples of finite words. The emphasis is on understanding the expressiveness and limitations of automata in this setting. In particular, the thesis studies the classification of classes of automatic structures, the complexity of the isomorphism problem, and the relationship between definability and recognisability.
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Marshall, T. H. (Timothy Hamilton). "Hyperbolic Geometry and Reflection Groups." Thesis, University of Auckland, 1994. http://hdl.handle.net/2292/2140.
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The n-dimensional pseudospheres are the surfaces in Rn+l given by the equations x12+x22+...+xk2-xk+12-...-xn+12=1(1 ≤ k ≤ n+1). The cases k=l, n+1 give, respectively a pair of hyperboloids, and the ordinary n-sphere. In the first chapter we consider the pseudospheres as surfaces h En+1,k, where Em,k=Rk x (iR)m-k, and investigate their geometry in terms of the linear algebra of these spaces. The main objects of investigation are finite sequences of hyperplanes in a pseudosphere. To each such sequence we associate a square symmetric matrix, the Gram matrix, which gives information about angle and incidence properties of the hyperplanes. We find when a given matrix is the Gram matrix of some sequence of hyperplanes, and when a sequence is determined up to isometry by its Gram matrix. We also consider subspaces of pseudospheres and projections onto them. This leads to an n-dimensional cosine rule for spherical and hyperbolic simplices. In the second chapter we derive integral formulae for the volume of an n-dimensional spherical or hyperbolic simplex, both in terms of its dihedral angles and its edge lengths. For the regular simplex with common edge length γ we then derive power series for the volume, both in u = sinγ/2, and in γ itself, and discuss some of the properties of the coefficients. In obtaining these series we encounter an interesting family of entire functions, Rn(p) (n a nonnegative integer and pεC). We derive a functional equation relating Rn(p) and Rn-1(p). Finally we classify, up to isometry, all tetrahedra with one or more vertices truncated, for which the dihedral angles along the edges formed by the truncatons. are all π/2, and the remaining dihedral angles are all sub-multiples of π. We show how to find the volumes of these polyhedra, and find presentations and small generating sets for the orientation-preserving subgroups of their reflection groups. For particular families of these groups, we find low index torsion free subgroups, and construct associated manifolds and manifolds with boundary In particular, we find a sequence of manifolds with totally geodesic boundary of genus, g≥2, which we conjecture to be of least volume among such manifolds.
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Ben-Tal, Alona. "A Study of Symmetric Forced Oscillators." Thesis, University of Auckland, 2001. http://hdl.handle.net/2292/2323.
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In this thesis we study a class of symmetric forced oscillators modeled by non-linear ordinary differential equations. Solutions for this class of systems can be symmetric or non-symmetric. When a symmetric periodic solution loses its stability as a physical parameter is varied, and two non-symmetric periodic solutions appear, this is called a symmetry breaking bifurcation. In a symmetry increasing bifurcation two conjugate chaotic attractors (i.e.,attractors which are related to each other by the symmetry) collide and form a larger symmetric chaotic attractor. Symmetry can also be restored via explosions where, as a physical parameter is varied, two conjugate attractors (chaotic or periodic) which do not intersect are suddenly embedded in one symmetric attractor. In this thesis we show that all these apparently distinct bifurcations can be realized by a single mechanism in which two conjugate attractors collide with a symmetric limit set. The same mechanism seems to operate for at least some bifurcations involving non-attracting limit sets. We illustrate this point with examples of symmetry restoration in attracting and non-attracting sets found in the forced Duffing oscillator and in a power system. Symmetry restoration in the power system is associated with a phenomenon known as ferroresonance. The study of the ferroresonance phenomenon motivated this thesis. Part of this thesis is devoted to studying one aspect of the ferroresonance phenomenon the appearance of a strange attractor with a band-like structure. This attractor was called previously a 'pseudo-periodic' attractor. Some methods for analyzing the non-autonomous systems under study are shown. We construct three different maps which highlight different features of symmetry restoring bifurcations. One map in particular captures the symmetry of a solution by sampling it every half the period of the forcing. We describe a numerical method to construct a bifurcation diagram of periodic solutions and present a non-standard approach for converting the forced oscillator to an autonomous system.
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Barton, Bill 1948. "Ethnomathematics: Exploring Cultural Diversity in Mathematics." Thesis, University of Auckland, 1996. http://hdl.handle.net/2292/2332.
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This thesis provides a new conceptualisation of ethnomathematics which avoids some of the difficulties which emerge in the literature. In particular, work has been started on a philosophic basis for the field. There is no consistent view of ethnomathematics in the literature. The relationship with mathematics itself has been ignored, and the philosophical and theoretical background is missing. The literature also reveals the ethnocentricity implied by ethnomathematics as a field of study based in a culture which has mathematics as a knowledge category. Two strategies to over come this problem are identified: universalising the referent of ‘mathematics’ so that it is the same as “knowledge-making”; or using methodological techniques to minimise it. The position of ethnomathematics in relationship to anthropology, sociology, history, and politics is characterised on a matrix. A place for ethnomathematics is found close the anthropology of mathematics, but the aim of anthropology is to better understand culture in general, while ethnomathematics aims to better understand mathematics. Anthropology, however, contributes its well-established methodologies for overcoming ethnocentricity. The search for a philosophical base finds a Wittgensteinian orientation which enables culturally based ‘systems of meaning’ to gain credibility in mathematics. A definition is proposed for ethnomathematics as the study of mathematical practices within context. Four types of ethnomathematical activity are identified: descriptive, archaeological, mathematising, and analytical activity. The definition also gives rise to a categorisation of ethnomathematical work along three dimensions: the closeness to conventional mathematics; the historical time; and the type of host culture. The mechanisms of interaction between mathematical practices are identified, and the imperialistic growth of mathematics is explained. Particular features of ethnomathematical theory are brought out in a four examples. By admitting the legitimacy of other viewpoints, ethnomathematics opens mathematics to new creative forces. Within education, ethnomathematics provides new choices, and turns cultural conflict into a useful tool for teaching. Mathematical activity exists in a variety of contexts. Learning mathematics involves being aware of, and integrating, diverse concepts. Ethnomathematics expands mathematical horizons, so that cultural diversity becomes a richer contributor to the cultural structures which humans use to understand their world.
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Curran, James Michael. "Forensic Applications of Bayesian Inference to Glass Evidence." Thesis, University of Auckland, 1996. http://hdl.handle.net/2292/2454.
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The role of the scientist in the courtroom has come under more scrutiny this century than ever before. As a consequence, scientists must constantly look for ways to improve the validity of the evidence they deliver. It is here that the professional statistician can provide assistance. The use of statistics in the courtroom and in forensic science is not new, but until recently has not been common either. Statistics can provide objectivity to subjective assessments and strengthen a case for the prosecution or the defence, but only if is used correctly. The aim of this thesis is to enhance and replace the existing technology used in statistical analysis and presentation of trace evidence, i.e. all non-genetic evidence (hairs, fibres, glass, paint, etc.) and transfer problems.
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Budden, Stephen Mark. "Knots and quandles." Thesis, University of Auckland, 2009. http://hdl.handle.net/2292/5292.
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Quandles were introduced to Knot Theory in the 1980s as an almost complete algebraic invariant for knots and links. Like their more basic siblings, groups, they are difficult to distinguish so a major challenge is to devise means for determining when two quandles having different presentations are really different. This thesis addresses this point by studying algebraic aspects of quandles. Following what is mainly a recapitulation of existing work on quandles, we firstly investigate how a link quandle is related to the quandles of the individual components of the link. Next we investigate coset quandles. These are motivated by the transitive action of the operator, associated and automorphism group actions on a given quandle, allowing techniques of permutation group theory to be used. We will show that the class of all coset quandles includes the class of all Alexander quandles; indeed all group quandles. Coset quandles are used in two ways: to give representations of connected quandles, which include knot quandles; and to provide target quandles for homomorphism invariants which may be useful in enabling one to distinguish quandles by counting homomorphisms onto target quandles. Following an investigation of the information loss in going from the fundamental quandle of a link to the fundamental group, we apply our techniques to calculations for the figure eight knot and braid index two knots and involving lower triangular matrix groups. The thesis is rounded out by two appendices, one giving a short table of knot quandles for knots up to six crossings and the other a computer program for computing the homomorphism invariants.
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Korobeinikov, Andrei. "Stability and bifurcation of deterministic infectious disease models." Thesis, University of Auckland, 2001. http://wwwlib.umi.com/dissertations/fullcit/3015611.
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Autonomous deterministic epidemiological models are known to be asymptotically stable. Asymptotic stability of these models contradicts observations. In this thesis we consider some factors which were suggested as able to destabilise the system. We consider discrete-time and continuous-time autonomous epidemiological models. We try to keep our models as simple as possible and investigate the impact of different factors on the system behaviour. Global methods of dynamical systems theory, especially the theory of bifurcations and the direct Lyapunov method are the main tools of our analysis. Lyapunov functions for a range of classical epidemiological models are introduced. The direct Lyapunov method allows us to establish their boundedness and asymptotic stability. It also helps investigate the impact of such factors as susceptibles' mortality, horizontal and vertical transmission and immunity failure on the global behaviour of the system. The Lyapunov functions appear to be useful for more complicated epidemiological models as well. The impact of mass vaccination on the system is also considered. The discrete-time model introduced here enables us to solve a practical problem-to estimate the rate of immunity failure for pertussis in New Zealand. It has been suggested by a number of authors that a non-linear dependence of disease transmission on the numbers of infectives and susceptibles can reverse the stability of the system. However it is shown in this thesis that under biologically plausible constraints the non-linear transmission is unable to destabilise the system. The main constraint is a condition that disease transmission must be a concave function with respect to the number of infectives. This result is valid for both the discrete-time and the continuous-time models. We also consider the impact of mortality associated with a disease. This factor has never before been considered systematically. We indicate mechanisms through which the disease-induced mortality can affect the system and show that the disease-induced mortality is a destabilising factor and is able to reverse the system stability. However the critical level of mortality which is necessary to reverse the system stability exceeds the mortality expectation for the majority of human infections. Nevertheless the disease-induced mortality is an important factor for understanding animal diseases. It appears that in the case of autonomous systems there is no single factor able to cause the recurrent outbreaks of epidemics of such magnitudes as have been observed. It is most likely that in reality they are caused by a combination of factors.Subscription resource available via Digital Dissertations
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Liao, Kecheng. "The AP integral." Thesis, University of Auckland, 1993. http://hdl.handle.net/2292/1969.
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This study attempts to develop the theory surrounding a controlled convergence theorem in the setting of AP integration. First, after a brief review, we spend some time on developing concepts and definitions. We are able to use these concepts to successfully present an initial control convergent theorem. Then we study our conditions more profoundly and find a number of equivalences and inequivalences between them. We are able to weaken some of the standard hypotheses significantly. The Riesz type approach to our integral has been included in our theory. Appropriately enough, we are able to use some of our approaches to extend the theory of the Henstock-Kurweil integral.
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Zhang, Xingyou. "Dynamics and numerics of generalised Euler equations : a thesis submitted to Massey University in partial fulfillment of the requirements for the degree of Ph.D in Mathematics." Massey University, 2008. http://hdl.handle.net/10179/980.
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This thesis is concerned with the well-posedness, dynamical properties and numerical treatment of the generalised Euler equations on the Bott-Virasoro group with respect to the general Hk metric , k 2. The term “generalised Euler equations” is used to describe geodesic equations on Lie groups, which unifies many differential equations and has found many applications in such as hydrodynamics, medical imaging in the computational anatomy, and many other fields. The generalised Euler equations on the Bott-Virasoro group for k = 0, 1 are well-known and intensively studied— the Korteweg-de Vries equation for k = 0 and the Camassa-Holm equation for k = 1. Unlike these, the equations for k 2, which we call the modified Camassa-Holm (mCH) equation, is not known to be integrable. This distinction motivates the study of the mCH equation. In this thesis, we derive the mCH equation and establish the short time existence of solutions, the well-posedness of the mCH equation, long time existence, the existence of the weak solutions, both on the circle S and R, and three conservation laws, show some quite interesting properties, for example, they do not lead to the blowup in finite time, unlike the Camassa-Holm equation. We then consider two numerical methods for the modified Camassa-Holm equation: the particle method and the box scheme. We prove the convergence result of the particle method. The numerical simulations indicate another interesting phenomenon: although mCH does not admit blowup in finite time, it admits solutions that blow up (which means their maximum value becomes infinity) at infinite time, which we call weak blowup. We study this novel phenomenon using the method of matched asymptotic expansion. A whole family of self-consistent blowup profiles is obtained. We propose a mechanism by which the actual profile is selected that is consistent with the simulations, but the mechanism is only partly supported by the analysis. We study the four particle systems for the mCH equation finding numerical evidence both for the non-integrability of the mCH equations and for the existence of the fourth integral. We also study the higher dimensional case and obtain the short time existence and well-posedness for the generalised Euler equation in the two dimension case.
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Harper, Sharleen Anne. "Mathematical models for dispersal of aerosol droplets in an agricultural setting : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand." Massey University, 2008. http://hdl.handle.net/10179/814.
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Agrichemical spray drift is an issue of concern for the orcharding industry. Shelterbelts surrounding orchard blocks can significantly reduce spray drift by intercepting droplets from the airflow. At present, there is little information available with which to predict drift deposits downwind, particularly in the case of a fully-sheltered orchard block. In this thesis, we develop a simple mathematical model for the transport of airborne drifting spray droplets, including the effects of droplet evaporation and interception by a shelterbelt. The object is for the model to capture the major features of the droplet transport, yet be simple enough to determine an analytic solution, so that the deposit on the ground may be easily calculated and the effect of parameter variations observed. We model the droplet transport using an advection-dispersion equation, with a trapping term added to represent the shelterbelt. In order to proceed analytically, we discretise the shelterbelt by dividing it into a three-dimensional array of blocks, with the trapping in each block concentrated to the point at its centre. First, we consider the more straightforward case where the droplets do not evaporate; solutions are presented in one, two and three dimensions, along with explicit expressions for the total amount trapped and the deposit on the ground. With evaporation, the model is more difficult to solve analytically, and the solutions obtained are nestled in integral equations which are evaluated numerically. In both cases, examples are presented to show the deposition profile on the ground downwind of the shelterbelt, and the corresponding reduction in deposit from the same scenario without the shelterbelt.
Books on the topic "Fields of Research – 230000 Mathematical Sciences"
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Edwards, T. J. Phase behaviour studies for optimising hydrocarbon liquid production from the North West Shelf gas condensate fields: Results of research carried out as MERIWA Project No. M150 and ERDC Project No. 1475 at the School of Mathematical and Physical Sciences, Murdoch University, Western Astralia. East Perth, WA: Minerals and Energy Research Institute of Western Australia, 1995.
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Buhler, J. P. Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications). Cambridge University Press, 2011.
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1956-, Murty Vijaya Kumar, and Fields Institute for Research in Mathematical Sciences., eds. Seminar on Fermat's last theorem: 1993-1994, the Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada. Providence, R.I: Published by the American Mathematical Society for the Canadian Mathematical Society, 1995.
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Hájek, Alan, and Christopher Hitchcock, eds. The Oxford Handbook of Probability and Philosophy. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199607617.001.0001.
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Probability theory is a key tool of the physical, mathematical, and social sciences. It has also been playing an increasingly significant role in philosophy: in epistemology, philosophy of science, ethics, social philosophy, philosophy of religion, and elsewhere. This Handbook encapsulates and furthers the influence of philosophy on probability, and of probability on philosophy. Nearly forty articles summarize the state of play and present new insights in various areas of research at the intersection of these two fields. The volume begins with a primer on those parts of probability theory that we believe are most important for philosophers to know, and the rest is divided into seven main sections: history; formalism; alternatives to standard probability theory; interpretations and interpretive issues; probabilistic judgment and its applications; applications of probability: science; and applications of probability: philosophy.
Book chapters on the topic "Fields of Research – 230000 Mathematical Sciences"
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Stigler, Brandilyn, and Anyu Zhang. "The Number of Gröbner Bases in Finite Fields (Research)." In Advances in Mathematical Sciences, 139–58. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42687-3_9.
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Wingberg, Kay. "Galois Groups of Poincaré-Type over Algebraic Number Fields." In Mathematical Sciences Research Institute Publications, 439–49. New York, NY: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-9649-9_8.
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Jannsen, Uwe. "On the ℓ-adic cohomology of varieties over number fields and its Galois cohomology." In Mathematical Sciences Research Institute Publications, 315–60. New York, NY: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-9649-9_5.
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Chau, Ling-Lie. "Supersymmetric Yang-Mills Fields as an Integrable System and Connections with Other Non-Linear Systems." In Mathematical Sciences Research Institute Publications, 303–28. New York, NY: Springer US, 1985. http://dx.doi.org/10.1007/978-1-4613-9550-8_15.
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Tripathy, B. K., R. K. Mohanty, and Sooraj T.R. "Application of Uncertainty Models in Bioinformatics." In Handbook of Research on Computational Intelligence Applications in Bioinformatics, 169–82. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0427-6.ch009.
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This chapter provides the information related to the researches enhanced using uncertainty models in life sciences and biomedical Informatics. The main emphasis of this chapter is to present the general ideas for the time line of different uncertainty models to handle uncertain information and their applications in the various fields of biology. There are many mathematical models to handle vague data and uncertain information such as theory of probability, fuzzy set theory, rough set theory, soft set theory. Literatures from the life sciences and bioinformatics have been reviewed and provided the different experimental & theoretical results to understand the applications of uncertain models in the field of bioinformatics.
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Clarke-Doane, Justin. "Introduction." In Morality and Mathematics, 1–12. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198823667.003.0001.
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I discuss specialization in philosophy, and the threat it poses to understanding “how things hang together.” I illustrate the problem using naturalism, a prominent view which combines realism about the sciences with anti-realism about value. Whether this view is tenable depends on whether one can be a mathematical realist and a moral anti-realist. But nobody knows whether one can, because metaethics and the philosophy of mathematics are mutually insulated research fields. I conclude that whether one can be a moral anti-realist and a mathematical realist, or whether metaethics and the philosophy of mathematics have anything else to teach us about how things “hang together,” requires bringing the areas into meaningful contact.
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Constant, Jean. "Random Processes and Visual Perception." In Advances in Media, Entertainment, and the Arts, 58–72. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-5753-2.ch002.
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The aim of this chapter is to explore a classic stochastic problem using the tools of the graphics environment. Stochastic processes are associated with the concepts of uncertainty or chance. Major areas of research in mathematical and applied sciences, statistics, finance, and artificial intelligence/machine learning benefit from the knowledge gained studying this process. Visual Art also depends on elements of uncertainty and chance. To explore the commonality of concern between Science and Art and better understand stochastic processes, the author organizes his research according to the Knowledge Visualization framework, examines a graph theory reference model called the “shortest route problem,” and, adding additional elements specific to the art-making process, shares his results to highlight the relevance of interdisciplinary studies in the fields of randomness and visual perception.
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Sryberko, Andrii. "ANALYSIS OF THE THERMOHALINE STRUCTURE IN THE ACTIVE LAYER OF THE MARINE ENVIRONMENT ACCORDING TO THE CALCULATED HYDROPHYSICAL CHARACTERISTICS BASED ON REMOTE MEASUREMENTS (ON THE EXAMPLE OF THE BLACK SEA)." In European vector of development of the modern scientific researches. Publishing House “Baltija Publishing”, 2021. http://dx.doi.org/10.30525/978-9934-26-077-3-6.
Full textAbstract:
Today, one of the priority scientific directions in marine sciences is the study of the spatial distribution of hydrophysical characteristics in the marine environment by remote measurements methods. To studying the spatio-temporal variability of water temperature and salinity in the active layer of the marine environment, it is necessary to use the data of their vertical and spatial distribution. Today there does not exist an easy way to get a in situ data for the analysis of the thermohaline structure in the marine environment. Indirect definitions of the vertical and spatial distribution of water temperature and salinity through the development of various methods for the calculation of thermohaline characteristics are used to date. Main purpose of this work is to study the thermohaline structure in the active layer of the Black Sea according to the calculated hydrophysical characteristics based on satellite and hydroacoustic data. The study of the vertical distribution of water temperature and salinity in the Black Sea was carried out in the deep-water part sea at standard levels (0, 10, 20, 25, 30, 50 meters) in the spring –autumn period. This area of research is represented by the highest number of measurements and is included in the Main Black Sea current zone. The calculations of thermohaline characteristics in the marine environment are based on the original methods of calculating the vertical distribution of water temperature, sound speed and salinity of water by satellite and hydroacoustic data. These methods were developed in the State Institute “Hydroacoustic Branch of Institute of Geophysics by S.I. Subbotin name of the National Academy of Sciences of Ukraine”. Mathematical and physical-statistical methods of calculation were used in the developed methods. For the efficiency of calculations an Automated Program Complex (APC) for calculating the vertical distribution of temperature and salinity fields in the marine environment by satellite and hydroacoustic data has been developed and tested on the example of the Black Sea. The initial data for the calculations using the APC are only daily satellite data of the sea surface temperature. Based on the results of calculations of the APC, maps of the vertical distribution of temperature and salinity of water on zonal and meridional sections in the Black Sea in the period of spring – autumn 2018 were developed. Analysis of the results of calculations of the vertical distribution of thermohaline characteristics made it possible to identify the main features in these distributions. The features of the spatial-temporal distribution of thermohaline parameters have been analysed. The confirmation of the state of the thermohaline regime inherent in the Black Sea in the warm season was obtained. The results of calculations of the vertical distribution of thermohaline characteristics in the Black Sea deep-water area on the basis of satellite and hydroacoustic data using the developed methods showed the possibility and expediency of their application in the layer 0-50 meters in the period May-October for a detailed analysis of the state of the thermohaline structure. The developed methods and principles of building an the APC for calculation of vertical distribution of temperature and salinity fields of water according to satellite and hydroacoustic data can be applied for analysis and monitoring of others water area of the World Ocean taking into account their hydrological conditions.