Relevant bibliographies by topics / Analytical Mathematics

Academic literature on the topic 'Analytical Mathematics'

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Published: 6 September 2023
Last updated: 7 September 2023

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Journal articles on the topic "Analytical Mathematics"

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Klepikov, P. N. "Mathematical Modeling in Problems of Homogeneous (Pseudo)Riemaimian Geometry." Izvestiya of Altai State University, no. 1(111) (March 6, 2020): 95–98. http://dx.doi.org/10.14258/izvasu(2020)1-15.

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Currently, mathematical and computer modeling, as well as systems of symbolic calculations, are actively used in many areas of mathematics. Popular computer math systems as Maple, Mathematica, MathCad, MatLab allow not only to perform calculations using symbolic expressions but also solve algebraic and differential equations (numerically and analytically) and visualize the results. Differential geometry, like other areas of modern mathematics, uses new computer technologies to solve its own problems. The applying is not limited only to numerical calculations; more and more often, computer mathematics systems are used for analytical calculations. At the moment, there are many examples that prove the effectiveness of systems of analytical calculations in the proof of theorems of differential geometry.This paper demonstrates how symbolic computation packages can be used to classify neither conformally flat nor Ricci parallel four-dimensional Lie groups with leftinvariant (pseudo)Riemannian metric of the algebraic Ricci soliton with the zero Schouten-Weyl tensor.
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Febrilia, Baiq Rika Ayu, and Ita Chairun Nissa. "EXPLORING STUDENT MATHEMATICAL ENGAGEMENT USING ADAPTED WATSON’ ANALYTICAL TOOL." Jurnal Cakrawala Pendidikan 38, no. 1 (February 27, 2019): 188–202. http://dx.doi.org/10.21831/cp.v38i1.21478.

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This research was conducted with the aim of describing the engagement of junior high school students in the mathematics learning process measured using an adapted Watson analytical tool. This research is a qualitative study that analyzes video transcripts of a junior high school teacher in West Nusa Tenggara, East Indonesia who are carrying out mathematical teaching on probability. In this study, the teacher carried out mathematics teaching designed by researchers using the ELPSA (Experience, Language, Pictorial, Symbolic, and Application) framework. The learning process was recorded through a video and then transcribed so that it is easily analyzed. The results showed that the dimensions of student mathematical engagement that emerged during the mathematics learning process were dominated by activities comparing/classifying and justifying/reasoning. These results also have a positive impact that by using the adapted of Watson analytical tool to analyze the learning process of mathematics can help teachers to gain deeper insight into students' mathematical engagement. This technique can be used as a reference by the teacher to further analyze so that better teaching actions can be planned.
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Supriadi, Nanang, Rizki Wahyu Yunian Putra, and Fitriani Fitriani. "Implementation of a realistic mathematics learning approach (PMR) and analytical thinking: The impact on students' understanding of mathematical concepts in Indonesia." Al-Jabar : Jurnal Pendidikan Matematika 13, no. 2 (December 12, 2022): 465–76. http://dx.doi.org/10.24042/ajpm.v13i2.16453.

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Understanding of concepts is a fundamental ability to learn mathematics in a more meaningful way. Understanding concepts is one of the goals to be achieved in learning mathematics. This study aims to determine the impact of a realistic mathematics learning approach (PMR) and analytical thinking on students' understanding of mathematical concepts. This experimental research uses a posttest-only control design. The population in this study included students XI in Kasui sub-district, Way Kanan district, Lampung, Determination of the sample using cluster random sampling technique. The research sample was 72 students (36 in the experimental class and 36 in the control class). Hypothesis testing using ancova test. Based on the research results, it can be concluded that the realistic mathematics learning approach (PMR) has an influence on students' understanding of mathematical concepts by controlling analytical thinking, analytical thinking has an influence on students' understanding of mathematical concepts, and there is a simultaneous influence between the PMR approach and analytical thinking on understanding mathematical concepts student.
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Pugina, L. V., and G. I. Mihalyov. "A ROUND OF APPLAUSE FOR ANALYTICAL GEOMETRY." World of Transport and Transportation 16, no. 4 (August 28, 2018): 248–52. http://dx.doi.org/10.30932/1992-3252-2018-16-4-20.

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ABSTRACT The article is devoted to the well-known Russian mathematician Boleslav Mlodzeevsky (10.07.1858- 18.01.1923), who from 1896 to 1913 worked at Moscow Institute of Railway Engineers, now - RUT (MIIT), and was the first head of the Institute’s department of mathematics. Scientific works of the scientist refer to differential and algebraic geometry and its applications. They are of interest to future mathematicians today as well. He was the first to organize such a form of training as a mathematical seminar, read the first course on the theory of functions of real variable and set theory. He developed the Russian terminology of set theory. This year marks the 160th anniversary of a remarkable mathematician and a man who has left an excellent mark in history. Keywords: mathematics, history, differential and algebraic geometry, engineering education, Boleslav Mlodzeevsky, mathematical seminar, set theory, scientific societies.
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Huincahue, Jaime, Rita Borromeo-Ferri, Pamela Reyes-Santander, and Viviana Garrido-Véliz. "Mathematical Thinking Styles—The Advantage of Analytic Thinkers When Learning Mathematics." Education Sciences 11, no. 6 (June 10, 2021): 289. http://dx.doi.org/10.3390/educsci11060289.

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School is a space where learning mathematics should be accompanied by the student’s preferences; however, its valuation in the classroom is not necessarily the same. From a quantitative approach, we ask from the mathematical thinking styles (MTS) theory about the correlations between preferences of certain MTS and mathematical performance. For this, a valid test instrument and a sample of 275 16-year-old Chilean students were used to gain insight into their preferences, beliefs and emotions when solving mathematical tasks and when learning mathematics. The results show, among other things, a clear positive correlation between mathematical performance and analytical thinking style, and also evidence the correlation between self-efficacy, analytical thinking and grades. It is concluded that students who prefer the analytical style are more advantageous in school, since the evaluation processes have a higher valuation of analytic mathematical thinking.
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Reba, Marzina Akter, and Rojina Akter. "Enhancing Adolescent Analytical Skills through Mathematics and Mathematics Teaching Methods at the Secondary Level." Asian Journal of Applied Science and Engineering 12, no. 1 (March 24, 2023): 1–6. http://dx.doi.org/10.18034/ajase.v12i1.13.

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This article is a conceptual paper that describes different approaches for teaching mathematics to secondary school students that blend learning with the intrinsic motivation that comes from their reactive intelligence. Students ultimately study mathematics after "learning math." The level of the children's mathematical knowledge is revealed by their ability to read a text and recognize symbols, including numbers, and visuals like diagrams and graphs. Adolescents use their diverse skill sets to master mathematics in these different contexts at the secondary level. Here it is found that the students often use the knowledge from their daily lived experiences (from direct and indirect engagements) to assist them with the mathematics in the textbook and used conceptual understanding rather than formal procedures in response to the mathematics textbook. Stimulating questions, analyzing problems, successful responses, and solving techniques are significant motivating tools in mathematics, which is especially beneficial in the framework of Mathematics learning. These tools and techniques are often used at the secondary to teach mathematics.
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Baranyai, Tamás. "Analytical graphic statics." International Journal of Space Structures 36, no. 2 (March 21, 2021): 117–26. http://dx.doi.org/10.1177/09560599211001651.

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Graphic statics is undergoing a renaissance, with computerized visual representation becoming both easier and more spectacular as time passes. While methods of the past are revived, little emphasis has been placed on studying the mathematics behind these methods. Due to the considerable advances of our mathematical understanding since the birth of graphic statics, we can learn a lot by examining these old methods from a more modern viewpoint. As such, this work shows the mathematical fabric joining different aspects of graphic statics, like dualities, reciprocal diagrams, and discontinuous stress functions. This is done by introducing a new, three dimensional force diagram (containing the old two dimensional force diagram) depicting the three dimensional equilibrium of planar force systems. A corresponding three dimensional “form diagram” (dual diagram) is introduced, in which forces are treated as linear functionals (dual vectors). It is shown that the polyhedral stress function introduced by Maxwell is in fact a linear combination of these functionals; and the projective dualities connecting these three dimensional diagrams are also explained.
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Noto, Muchamad Subali, Wahyu Hartono, and Dadan Sundawan. "ANALYSIS OF STUDENTS MATHEMATICAL REPRESENTATION AND CONNECTION ON ANALYTICAL GEOMETRY SUBJECT." Infinity Journal 5, no. 2 (October 1, 2016): 99. http://dx.doi.org/10.22460/infinity.v5i2.216.

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The importance ability of mathematical representation and connection to owned by the student really help students in understanding the mathematical concepts in the form of pictures, symbols, and the written word. The use of mathematical representation and the correct connection by students will help students make mathematical ideas more concrete and can connect a concept to another concept, so that students can develop a view of mathematics as a whole integration. This research aims to describe and analyze the ability of representation and mathematical connection on the topics of analytical geometry. The research method was descriptive with the subject as much as 22 mathematics students. Data collected through tests and interviews. The results show that the average ability of representation is 46.00; the average mathematical connection ability is 36.77. This means both the abilities still belongs to low, particularly for the ability of mathematical connection.
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Noto, Muchamad Subali, Wahyu Hartono, and Dadan Sundawan. "ANALYSIS OF STUDENTS MATHEMATICAL REPRESENTATION AND CONNECTION ON ANALYTICAL GEOMETRY SUBJECT." Infinity Journal 5, no. 2 (September 30, 2016): 99. http://dx.doi.org/10.22460/infinity.v5i2.p99-108.

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The importance ability of mathematical representation and connection to owned by the student really help students in understanding the mathematical concepts in the form of pictures, symbols, and the written word. The use of mathematical representation and the correct connection by students will help students make mathematical ideas more concrete and can connect a concept to another concept, so that students can develop a view of mathematics as a whole integration. This research aims to describe and analyze the ability of representation and mathematical connection on the topics of analytical geometry. The research method was descriptive with the subject as much as 22 mathematics students. Data collected through tests and interviews. The results show that the average ability of representation is 46.00; the average mathematical connection ability is 36.77. This means both the abilities still belongs to low, particularly for the ability of mathematical connection.
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Rahman, Muhammad Syarifuddin, Dwi Juniati, and Manuharawati Manuharawati. "High school students' mathematical proficiency based on mathematics anxiety and cognitive independence." Cypriot Journal of Educational Sciences 17, no. 11 (November 30, 2022): 3985–99. http://dx.doi.org/10.18844/cjes.v17i11.7759.

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Mathematical proficiency is the ability to use conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition in problem-solving. This study aims to determine the effect of mathematics anxiety level and cognitive independence level on mathematical proficiency. This research combined quantitative and qualitative methods to determine the effect of mathematics anxiety and cognitive independence on mathematical proficiency. It used the multiple linear regression test for the quantitative approach. Moreover, the qualitative approach was used to see the effect of anxiety level and cognitive independence on mathematical proficiency. One hundred fifty-five high school students participated in this study, and it was found that mathematics anxiety affects mathematical proficiency negatively while cognitive independence affects mathematical proficiency positively. Students who have high mathematics anxiety use trial and error strategies, while their counterparts, having low mathematics anxiety, use analytical strategies. Students with high cognitive independence can process the information and tend to be independent, while those with low cognitive independence do so illogically and tend to need help from others. The results of this study are hoped to be beneficial for teachers in choosing learning methods. Keywords: analytical strategy; cognitive independence; mathematical proficiency; mathematics anxiety; trial-error strategy;
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Dissertations / Theses on the topic "Analytical Mathematics"

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Leung, Kung-shing. "The impact of teaching of analytical skills on the mathematics achievement of Form three students." Hong Kong : University of Hong Kong, 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1803553X.

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Poolasap, Naowarat. "Analytical Pyrolysis of Thai Lignites." TopSCHOLAR®, 1985. https://digitalcommons.wku.edu/theses/2729.

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Samples of four different Thai lignites were utilized to study the effects of ceiling temperature and heating rate on the overall yield and product distribution by the technique of analytical pyrolysis (pyrolysis-gas chromatography). Ceiling temperatures of 450°, 550°, 650°, 750°, 850°, and 950°C, a heating rate of 500°C/sec and pyrolysis intervals of 20 seconds were investigated. The results were reported in terms of percentage high-volatile product and low-volatile product fraction, weight-loss (% by weight), and total yield (counts per milligram). One sample which showed the highest sensitivity to changing ceiling temperature was selected to study the effect of heating rate on overall yield and product distribution. Heating rates of 500°C/sec and 100°C/sec (for an interval of 20 seconds) and 500°C/sec for one minute and 300°C/min for two minutes were employed in the study, at a ceiling temperature of 750°C. The results of the above investigation may be summarized as follows: All four samples are lignite A (rank) but give different pyrograms as a result of differences in maceral concentrations and chemical structure of each of the coals. The total yield, high-volatile product, and weight-loss increase with increasing ceiling temperatures. Heating rates in the range studied have no significant effect on the total yield and product distribution. High -volatile product yield increases with increasing pyrolysis interval because of secondary cracking reactions but the overall product yield remains essentially constant.
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Wessels, Gert Jermia Cornelus. "A numerical and analytical investigation into non-Hermitian Hamiltonians." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/2894.

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Thesis (MSc (Physical and Mathematical Analysis))--University of Stellenbosch, 2009.
In this thesis we aim to show that the Schr odinger equation, which is a boundary eigenvalue problem, can have a discrete and real energy spectrum (eigenvalues) even when the Hamiltonian is non-Hermitian. After a brief introduction into non-Hermiticity, we will focus on solving the Schr odinger equation with a special class of non-Hermitian Hamiltonians, namely PT - symmetric Hamiltonians. PT -symmetric Hamiltonians have been discussed by various authors [1, 2, 3, 4, 5] with some of them focusing speci cally on obtaining the real and discrete energy spectrum. Various methods for solving this problematic Schr odinger equation will be considered. After starting with perturbation theory, we will move on to numerical methods. Three di erent categories of methods will be discussed. First there is the shooting method based on a Runge-Kutta solver. Next, we investigate various implementations of the spectral method. Finally, we will look at the Riccati-Pad e method, which is a numerical implemented analytical method. PT -symmetric potentials need to be solved along a contour in the complex plane. We will propose modi cations to the numerical methods to handle this. After solving the widely documented PT -symmetric Hamiltonian H = p2 􀀀(ix)N with these methods, we give a discussion and comparison of the obtained results. Finally, we solve another PT -symmetric potential, illustrating the use of paths in the complex plane to obtain a real and discrete spectrum and their in uence on the results.
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Moorhead, Katherine Tracey. "Design and Implementation of Analytical Mathematics for SIFT-MS Medical Applications." Thesis, University of Canterbury. Mechanical Engineering, 2009. http://hdl.handle.net/10092/2898.

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Selected Ion Flow Tube-Mass spectrometry (SIFT-MS) is an analytical measurement technology for the real-time quantification of volatile organic compounds in gaseous samples. This technology has current and potential applications in a wide variety of industries, although the focus of this research is in medical science. In this field, SIFT-MS has potential as a diagnostic device, capable of determining the presence of a particular disease or condition. In addition, SIFT-MS can be used to monitor the progression of a disease state, or predict deviations from expected behaviour. Lastly, SIFT-MS can be used for the identification of biomarkers of a particular disease state. All these possibilities are available non-invasively and in real-time, by analysing breath samples. SIFT-MS produces an extensive amount of data, requiring specific mathematical methods to identify biomarker masses that differ significantly between populations or time-points. Two classification methods are presented for the analysis of SIFT-MS mass scan data. The first method is a cross-sectional classification model, intended to differentiate between the diseased and non-diseased state. This model was validated in a simple test case. The second method is a longitudinal classification model, intended to identify key biomarkers that change over time, or in response to treatment. Both of these classification models were validated in 2 clinical trials, investigating renal function in humans and rats. The first clinical trial monitored changes in breath ammonia, TMA and acetone concentrations over the course of dialysis treatment. Correlations with the current gold standard plasma creatinine, and blood urea nitrogen were reported. Finally, biomarkers of renal function were identified that change predictably over the course of treatment. The second trial induced acute renal failure in rats, and monitored the change in renal function observed during recovery. For comparison and validation of the result, a 2-compartment model was developed for estimating renal function via a bolus injection of a radio-labelled inulin tracer, and was compared with the current gold standard plasma creatinine measurement, modified using the Cockcroft-Gault equation for rats. These two methods were compared with SIFT-MS monitoring of breath analytes, to examine the potential for non-invasive biomarkers of kidney function. Results show good promise for the non-invasive, real-time monitoring of breath analytes for diagnosis and monitoring of kidney function, and, potentially, other disease states.
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Rozenblum, G. "On some analytical index formulas related to operator-valued symbols." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2581/.

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For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that uasual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.
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Matthews, John V. III. "An Analytical and Numerical Study of Granular Flows in Hoppers." NCSU, 2000. http://www.lib.ncsu.edu/theses/available/etd-20001106-164836.

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This work investigates the characteristics of a steady state flow of granular material,under the influence of gravity, in two and three dimensional hoppers of simple geometry.Simulations of such flows are of particular interest to various industries, such as the foodand mining industries, where the handling of large quantities of granular materials in hop-persand silos is routine. While understanding and simulation of time-dependent phenomenaare the ultimate goals in this field, those phenomena are still poorly understood and thustheir study is beyond the scope of this research. It has been observed that steady flowscan provide reasonable approximations, and the corresponding steady state model has con-sequentlybeen the focus of a great deal of research. Historically, these steady state modelshave been approached using only smooth radial fields, and even today most practical hop-perdesign uses these fields as their basis. Our work represents the first time that qualitynumerical methods have been brought to bear on the model equations in their original form,without assuming smoothness of the resulting fields. Two different, yet related, models forstress/velocity consisting of systems of hyperbolic conservation laws and algebraic relationsare considered and discussed. The radial stress and velocity fields, and the stability of thosefields, are studied briefly with both analytical and numerical results presented. More im-portantly,a Runge-Kutta Discontinuous Galerkin method is implemented and applied tovarious boundary value problems involving perturbed stress and velocity fields arising fromdiscontinuous changes in parameters such as hopper wall angle or hopper wall friction.

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Hagspihl, Christoph. "A comparison of three analytical approximations for basket option valuation." Master's thesis, University of Cape Town, 2013. http://hdl.handle.net/11427/18690.

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Three prominent analytical approximations for pricing basket options,by Levy (1992), Ju (2002) and Deelstra et aI. (2004), are tested for performance and accuracy. Sensitivity analysis shows that all three have greater errors in high volatility and long maturity environments, while Deelstra has weaknesses with small correlation and baskets with few stocks. Deelstra and Levy show tendencies to underprice and overprice respectively, while Ju's errors are more consistently around the true price. A mathematical understanding of the three techniques is also developed.
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Erker, Joseph A. "Boundary value problems in electrophoresis, with applications to separations and colloid science." Diss., The University of Arizona, 2003. http://hdl.handle.net/10150/280277.

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The topic of this thesis is investigation of models applied to different aspects of separations and colloid science. Many tools are used for solving the models, which are manifested as boundary value problems. The problems are to determine the equilibrium electrostatics of a fluid droplet, the electrokinetics of such, the (nonuniform) temperature profile of an electrophoresis capillary due to Joule heating, and the temperature at the wall of the capillary. In the fluid drop model, special attention given to a drop that, in addition to the surrounding fluid, supports electrolytes. Matched asymptotic expansions based on thin double layers are applied to the equilibrium electrostatics problem. Attention is given to how conditions on the interface of the drop, such as discontinuity of equilibrium potential and the presence of surface excesses of solutes, affect the electrokinetics. A perturbation scheme is used to formulate a problem for the electrophoretic mobility of a droplet. An approximate solution for the mobility of a drop is derived, based on small interfacial potentials. The formula encompasses those of several past theoretical studies. A regular perturbation is used to determine heating effects in capillary electrophoresis, based on a small power input to the system. The resulting expression for temperature in the capillary is then used implicitly to determine the temperature at the wall of the capillary. Some of the results are compared with experimental data. For the drop electrophoresis problem, the electrophoretic mobility formula is compared with measured mobility of oil drops and drops in aqueous two-phase systems. In the study of heating in capillary electrophoresis, the implicit expression is used to make reasonable estimates of the wall temperature based on published operating conditions. Accuracy of all analytic estimates of the problems are tested against numerical solutions, taken to be exact. In all cases, the analytic approximations are satisfactorily accurate under appropriate conditions.
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Nel, W. J. F. "Analytical approximations of surface fields induced on convex scatters by exteriorly incident scalar fields." Doctoral thesis, University of Cape Town, 1989. http://hdl.handle.net/11427/22216.

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The boundary value problems for the Helmholtz equation give rise to boundary integral equations for the unknown surface field or its normal derivative. These integral equations involve the Helmholtz surface potentials in the form of weakly singular surface integrals. This thesis is based on a method of parameterisation of the surface integrals which removes the weak singularities provided that the surface satisfies certain convexity conditions. Firstly this method of parameterisation is applied to investigate the properties of the Helmholtz surface potentials on convex surface elements, and some new proofs are given. The theory is then applied to the boundary integral equations which arise when a scalar field is incident on a bounded scatterer. The surface integrals in these integral equations are Helmholtz potentials and can be regularised by suitable parameterisation. It is assumed that the unknoWn density function is an analytical function on the boundary of the scatterer, and can therefore be expanded as a Taylor series at any point of the surface. If this expansion is substituted into the regularised integral equation and if the operations of integration and summation are formally interchanged, then the end result is a partial differential equation of infinite order involving only the field coordinates and having analytical coefficients. However, if the Taylor expansions are truncated then partial differential equations of finite orders result. The view is taken that analytical solutions of such differential equations of finite orders can serve as _approximations for the surface field or its normal derivative provided that suitable initial conditions are imposed to ensure uniqueness. On the other hand the general solution of such a differential equation can serve as a local approximation at any point on the surface. Some basic properties of the differential equations and their solutions, called analytical approximations, are discussed and the theory is then applied to the problem of acoustic scattering from a sound hard sphere.
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Petrack, S. B. "Analytical and algebraic equivariant cohomology and the free loop space." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370268.

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Books on the topic "Analytical Mathematics"

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Bailey, David H., Heinz H. Bauschke, Peter Borwein, Frank Garvan, Michel Théra, Jon D. Vanderwerff, and Henry Wolkowicz, eds. Computational and Analytical Mathematics. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7621-4.

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PreMBA analytical primer: Essential quantitative concepts for business math. New York, NY: Palgrave Macmillan, 2008.

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Fabozzi, Frank J. Fixed income mathematics: Analytical & statistical techniques. Chicago, Ill: Probus Pub. Co., 1993.

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J, Fabozzi Frank, ed. Fixed income mathematics: Analytical & statistical techniques. 3rd ed. Chicago: Irwin Professional Pub., 1997.

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Fabozzi, Frank J. Fixed income mathematics: Analytical & statistical techniques. 4th ed. New York: McGraw-Hill, 2005.

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Analytical modeling in applied electromagnetics. Boston, MA: Artech House, Inc, 2003.

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Ivar, Stakgold, and Kleinman Ralph 1929-, eds. Analytical and computational methods in scattering and applied mathematics. Boca Raton, Fla: Chapman & Hall/CRC, 2000.

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Kevorkian, J. Partial Differential Equations: Analytical Solution Techniques. New York, NY: Springer New York, 2000.

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Gustafson, Grant B. Analytical and Computational Methods of Advanced Engineering Mathematics. New York, NY: Springer New York, 1998.

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Whiting, Lee. Analytical model of a combinatorial number lottery. Bethel, CT: Rutledge Books, 1997.

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Book chapters on the topic "Analytical Mathematics"

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Treviño, Regina. "Mathematics of Finance." In PreMBA Analytical Primer, 131–61. New York: Palgrave Macmillan US, 2008. http://dx.doi.org/10.1057/9780230615786_4.

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Narkiewicz, Władysław. "Analytical Methods." In Springer Monographs in Mathematics, 313–407. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07001-7_7.

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Bartels, Sören. "Analytical Background." In Springer Series in Computational Mathematics, 11–44. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13797-1_2.

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Cheban, David N. "Analytical Dissipative Systems." In Springer Monographs in Mathematics, 139–95. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34292-0_3.

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Taniguchi, Setsuo. "Stochastic Analytical Models in Mathematical Finance." In Mathematics for Industry, 263–77. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55060-0_20.

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Novikov, S. P. "Analytical theory of homotopy groups." In Lecture Notes in Mathematics, 99–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082773.

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Friedrich, Thomas. "Analytical properties of Dirac operators." In Graduate Studies in Mathematics, 91–112. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/025/04.

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Bailey, David H., and Jonathan M. Borwein. "Normal Numbers and Pseudorandom Generators." In Computational and Analytical Mathematics, 1–18. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7621-4_1.

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Cascales, B., J. Orihuela, and M. Ruiz Galán. "Compactness, Optimality, and Risk." In Computational and Analytical Mathematics, 161–218. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7621-4_10.

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Chappell, Tom, Alain Lascoux, S. Ole Warnaar, and Wadim Zudilin. "Logarithmic and Complex Constant Term Identities." In Computational and Analytical Mathematics, 219–50. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7621-4_11.

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Conference papers on the topic "Analytical Mathematics"

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Hanafi, Lukman, and M. Syifaul Mufid. "Analytical solution approximation for bearing." In INTERNATIONAL CONFERENCE ON MATHEMATICS: PURE, APPLIED AND COMPUTATION: Empowering Engineering using Mathematics. Author(s), 2017. http://dx.doi.org/10.1063/1.4994444.

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Yoshikawa, Eiichi, and Tomoo Ushio. "Analytical Study of Long-Modulated Pulsed Lidar for Wind Sensing." In Mathematics in Imaging. Washington, D.C.: OSA, 2017. http://dx.doi.org/10.1364/math.2017.mtu4c.4.

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Lin, M. C., Y. T. Jou, R. M. Silitonga, and S. P. D. Kristiana. "Utilizing integrated performance measurement system and analytical hierarchy process for competitive advantage." In THE 2ND NATIONAL CONFERENCE ON MATHEMATICS EDUCATION (NACOME) 2021: Mathematical Proof as a Tool for Learning Mathematics. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0104973.

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Hasna, Salwa Kamilia, and Muhammad Ragil Suryoputro. "Analytical study on power supply company productivity: A case study in Indonesia." In THE 2ND NATIONAL CONFERENCE ON MATHEMATICS EDUCATION (NACOME) 2021: Mathematical Proof as a Tool for Learning Mathematics. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0105453.

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Khairuddin, Taufiq Khairi Ahmad, Nurhazirah Mohamad Yunos, and Sharidan Shafie. "Fitting the first order PT by spheroid : A semi analytical approach." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136491.

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Berenblyum, R. A., A. A. Shchipanov, E. M. Reich, L. Surguchev, and K. Potsch. "Analytical Estimation of Advanced IOR Performance." In 11th European Conference on the Mathematics of Oil Recovery. Netherlands: EAGE Publications BV, 2008. http://dx.doi.org/10.3997/2214-4609.20146358.

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Zwickl, Benjamin M., Kingston Chen, Joshua Deslongchamps, Anna E. Leak, and Kelly Norris Martin. "Characterizing analytical and computational mathematics use during PhD research." In 2017 Physics Education Research Conference. American Association of Physics Teachers, 2018. http://dx.doi.org/10.1119/perc.2017.pr.114.

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Perovich, S. M., S. I. Bauk, M. Dj Jovanovic, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Concerning an Analytical Solution of Some Families of Nonlinear Functional Equations." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790165.

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Tzimopoulos, Christos, Kyriakos Papadopoulos, and Christos Evangelides. "Fuzzy analytical solution to horizontal infiltration." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043916.

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Weiß, M. G. "A Class of 6R Robots and Poses with 16 Analytical Solutions." In IMA Conference on Mathematics of Robotics. Institute of Mathematics and its Applications, 2015. http://dx.doi.org/10.19124/ima.2015.001.23.

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Reports on the topic "Analytical Mathematics"

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, September 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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Vaughan, Tanya, Sarah Richardson, Toby Carslake, Trisha Reimers, Greg Macaskill, Toby Newton, Nathan Zoanetti, Andrew Mannion, and Martin Murphy. Building capacity for Quality Teaching Rounds – Victoria. Final report. Australian Council for Educational Research, June 2023. http://dx.doi.org/10.37517/978-1-74286-713-7.

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The Australian Council for Educational Research (ACER) was commissioned by the Teachers and Teaching Research Centre (TTRC) at the University of Newcastle to conduct an independent randomised controlled trial (RCT), with the goal of examining effects of Quality Teaching Rounds (QTR) on student outcomes and teachers’ practice in Victorian high schools. A total of 19 schools participated in Quality Teaching Rounds in 2022, with 20 schools in the wait list control. Data were gathered in an ongoing manner during the evaluation with: Progressive Assessment Tests in Mathematics (PAT-M) and reading (PAT-R) – baseline and follow up; student self-efficacy and aspiration surveys – baseline and follow up; teacher surveys – one questionnaire administered every term; implementation fidelity check surveys for teachers to complete for each QT Round; and implementation fidelity checks with onsite visits from ACER staff for 33% of the treatment schools. Key findings include: The mixed model analysis showed that treatment was not a significant predictor of PAT-R and PAT-M outcomes. Differences in student responses to the self-efficacy and aspiration surveys were identified. The control group showed a significant increase in the level of education that they aspired to complete (p = 0.037). Teachers in the control group had statistically significant growth in teacher efficacy, while those in the treatment group showed statistically significant lower teacher student support. Within the QTR process, the longest time was spent on discussing the coding and the individual coding process. Key observations identified from analysis of the fidelity check data are: teacher stress due to high rates of absenteeism, varied use of the Classroom Practice Guide, and analytical conversations about some elements and terms.
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Hemm, Robert V., David A. Lee, Jeremy M. Eckhause, and John A. Dukovich. Analytic Methods for Tactical Air Warfare - 2006. Air Campaign and Mathematical Analysis. Fort Belvoir, VA: Defense Technical Information Center, July 2006. http://dx.doi.org/10.21236/ada457319.

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Hrebeniuk, Bohdan V. Modification of the analytical gamma-algorithm for the flat layout of the graph. [б. в.], December 2018. http://dx.doi.org/10.31812/123456789/2882.

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The planarity of graphs is one of the key sections of graph theory. Although a graph is an abstract mathematical object, most often it is graph visualization that makes it easier to study or develop in a particular area, for example, the infrastructure of a city, a company’s management or a website’s web page. In general, in the form of a graph, it is possible to depict any structures that have connections between the elements. But often such structures grow to such dimensions that it is difficult to determine whether it is possible to represent them on a plane without intersecting the bonds. There are many algorithms that solve this issue. One of these is the gamma method. The article identifies its problems and suggests methods for solving them, and also examines ways to achieve them.
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Hlushak, Oksana M., Volodymyr V. Proshkin, and Oksana S. Lytvyn. Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3268.

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As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated. It was established that the e-learning course is a complex of teaching materials and educational services created for the organization of individual and group training using information and communication technologies. Based on the outlined possibilities of applying the e-learning course, as well as its didactic functions, the structure of the certified e-learning course “Analytic Geometry” based on the Moodle platform was developed and described. Features of application of cloud-oriented resources are considered: Desmos, Geogebra, Wolfram|Alpha, Sage in the study of the discipline “Analytic Geometry”. The results of the pedagogical experiment on the basis of Borys Grinchenko Kyiv University and A. S. Makarenko Sumy State Pedagogical University are presented. The experiment was conducted to verify the effectiveness of the implementation of the e-learning course “Analytic Geometry”. Using the Pearson criterion it is proved that there are significant differences in the level of mathematical preparation of experimental and control group of students. The prospect of further scientific research is outlined through the effectiveness of the use of e-learning courses for the improvement of additional professional competences of students majoring in Computer Sciences and Information Technologies (specialization “Programming”, “Internet of Things”).
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Leis, B. N., and X. K. Zhu. DTRS56-03-T-0014 Corrosion Assessment Criteria for Vintage vs Modern Pipelines. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), September 2005. http://dx.doi.org/10.55274/r0011878.

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The appearance in the 1990s of corrosion severity assessment criteria derived consistent with the plastic-collapse theory presented the industry with an alternative to the criteria empirically evolved beginning in the 1970s. While the industry now had a less conservative alternative to their empirical counterparts, there was no basis to identify which criterion was appropriate. This project has quantitatively evaluated these two sets of criteria to establish which is valid as a function of characteristic geometric features of the corrosion as well as the vintage, grade and other metrics of the line pipe and the pipeline's service and loading. Consideration was given to the mathematical form of these criteria and their 'validation' databases, the corrosion geometry, the line pipe properties, and other factors through the use of numerical and analytical techniques and demonstration full-scale testing.
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Shabelnyk, Tetiana V., Serhii V. Krivenko, Nataliia Yu Rotanova, Oksana F. Diachenko, Iryna B. Tymofieieva, and Arnold E. Kiv. Integration of chatbots into the system of professional training of Masters. [б. в.], June 2021. http://dx.doi.org/10.31812/123456789/4439.

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The article presents and describes innovative technologies of training in the professional training of Masters. For high-quality training of students of technical specialties, it becomes necessary to rethink the purpose, results of studying and means of teaching professional disciplines in modern educational conditions. The experience of implementing the chatbot tool in teaching the discipline “Mathematical modeling of socio-economic systems” in the educational and professional program 124 System Analysis is described. The characteristics of the generalized structure of the chatbot information system for investment analysis are presented and given: input information, information processing system, output information, which creates a closed cycle (system) of direct and feedback interaction. The information processing system is represented by accounting and analytical data management blocks. The investment analysis chatbot will help masters of the specialty system analysis to manage the investment process efficiently based on making the right decisions, understanding investment analysis in the extensive structure of financial management and optimizing risks in these systems using a working mobile application. Also, the chatbot will allow you to systematically assess the disadvantages and advantages of investment projects or the direction of activity of a system analyst, while increasing interest in performing practical tasks. A set of software for developing a chatbot integrated into training is installed: Kotlin programming, a library for network interaction Retrofit, receiving and transmitting data, linking processes using the HTTP API. Based on the results of the study, it is noted that the impact of integrating a chatbot into the training of Masters ensures the development of their professional activities, which gives them the opportunity to be competent specialists and contributes to the organization of high-quality training.
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Computational Biology: Development in the Field of Medicine. Science Repository, April 2021. http://dx.doi.org/10.31487/sr.blog.31.

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Computational biology involves the development and application of analytical-data and theoretical methods, computational simulation techniques, and mathematical modeling to the study of biological, behavioral, ecological, and social systems.
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