Relevant bibliographies by topics / Melodic analysis Mathematical models

Academic literature on the topic 'Melodic analysis Mathematical models'

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Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Melodic analysis Mathematical models"

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Carrozza, Sylvain, and Sabine Harribey. "Melonic Large N Limit of 5-Index Irreducible Random Tensors." Communications in Mathematical Physics 390, no. 3 (January 18, 2022): 1219–70. http://dx.doi.org/10.1007/s00220-021-04299-1.

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AbstractWe demonstrate that random tensors transforming under rank-5 irreducible representations of $$\mathrm {O}(N)$$ O ( N ) can support melonic large N expansions. Our construction is based on models with sextic (5-simplex) interaction, which generalize previously studied rank-3 models with quartic (tetrahedral) interaction (Benedetti et al. in Commun Math Phys 371:55, 2019. arXiv:1712.00249; Carrozza in JHEP 06:039, 2018. arXiv:1803.02496). Beyond the irreducible character of the representations, our proof relies on recursive bounds derived from a detailed combinatorial analysis of the Feynman graphs. Our results provide further evidence that the melonic limit is a universal feature of irreducible tensor models in arbitrary rank.
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Temperley, David. "Probabilistic Models of Melodic Interval." Music Perception 32, no. 1 (September 1, 2014): 85–99. http://dx.doi.org/10.1525/mp.2014.32.1.85.

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Two probabilistic models of melodic interval are compared. In the Markov model, the “interval probability” of a note is defined by the corpus frequency of its melodic interval (the interval to the previous note), conditioned on the previous one or two intervals; in the Gaussian model, the interval probability is a simple mathematical function of the size of the note’s melodic interval and its position in relation to the range of the melody. In both models, this interval probability is then multiplied by the probability of the note’s scale degree to yield its actual probability. The two models were tested on four corpora of tonal melodies using cross-entropy. The Markov model yielded a somewhat lower (better) cross-entropy than the Gaussian model, but is also much more complex, requiring far more parameters. The models were also tested on melodic expectation data, and on their ability to predict the distribution of intervals in a corpus. Possible ways of improving the models are discussed, as well as their broader implications for music cognition.
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Buchok, Lianna. "V. Telychko’s “Children’s Album” as an example of the modern tonal image of the world: peculiarities of the musical vocabulary and melodic ideas." Problems of Interaction Between Arts, Pedagogy and the Theory and Practice of Education 49, no. 49 (September 15, 2018): 70–84. http://dx.doi.org/10.34064/khnum1-49.05.

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Background. The beginning of the development of musical art in Transcarpathia dates back to the end of the nineteenth century and lasts during the first third of the twentieth century. First of all, it was an interest in the genre of choral music (a synthetic genre based on the merging of the Word and Music), which fully corresponded to the enlightened spirit of life of the Transcarpathians under the political conditions of that time. And only in the second half of the twentieth century intensive blossoming of the varieties of instrumental (kind of «pure») music with its conceptually most complex types of creative thinking and adaptation to the methods of style transformation takes place. The piano music, one of the most abstract forms of the creative process, has revealed its peculiarities in this process. However, the researchers virtually never paid attention to piano pieces for children, which are naturally inferior by their practically necessary and didactically appropriate visual simplicity of musical vocabulary to the works of the so-called large genre. In addition, historically, the creative work of Transcarpathian composers has been considered only as a product of a purely regional significance. Therefore, it is important that the piano works of Transcarpathian composers for children should also be considered in the context of such integrity as the Intentional period of the music history, which has been defined as non-classical and at the same time permeated with the idea of global cultural synthesis Objectives. The essence of the tasks and the purpose is to present the "Child Album" by V. Telychko (the first in Transcarpathia sample of the genre of children’s musical album, 2016) as an example of the creation of the modern intonational image of the world - in its associative diversity and intentionality. Methods. A selection of research methods, namely, analytical (analysis and synthesis, induction and deduction, systematization, classification and generalization), comparative, systemic, phenomenological, functional, has been used in view of the holistic approach – in the spirit of spiritual development of the world. In this regard, the interpretive potential of the concepts of the intonational model and the modal nature of musical themes as types of thinking by sound images is considered methodologically appropriate: both purposefully focus attention of the recipient on the sound «body» and the intonational "soul" of the musical matter in the integrity of the creative idea of the work, and also is didactically productive in terms of comprehension of the architectonics of the world of music as a world of musical ideas. Results. V. Telichko’s "Children’s Album" is a cyclic structure of the linear/plot type, where step-by-step compositional and dramaturgical organization of the whole ensures the principle of successive naming of new, but equal in figurative semantic content pieces. At the same time, it will be superfluous to reflect on the fact that the structure of cycles such as "album" is rarely evaluated as such that it is actually "filled in" (for example, with memorable photos or pictures), and only since then its "white" (from alba) of the blank/empty sheets is filled in with the semantics and the logic of placement of fixed events, phenomena, impressions, etc in a certain order. Against the background of such reflection the memory recalls such "albums" of romantics: all of them are based on the logic of the course of a day lived by a child (for example, P. I. Tchaikovsky). V. Telichko’s principle of collecting pieces "into the album" has such a life-justifiable logic – the gradual flow of events of the day, embodied in a child’s only perception of the world and itself. The semantic code of the composer’s plan is referenced in his dedication: "I devote my love to grandchildren Angelina and Anna" - expressing love for grandchildren, admiring their fantasy and energy, caring for the formation of their worldview on a certain system of values (family, native land, diversity of traditions of the countries of the world , historical memory): the pieces "Morning", "My Mother", "Our Grandmother" represent an idea of an ingenuous and happy feeling of a child in the family; "Anna’s Teddy-Bear", "Angelina’s Hobbyhorse" and "Angelina’s Waltz " represent a lively imagination of children, each of them having a favorite game "theme"; the plays "About Transcarpathia", "Kolomyika", "Tropotyanka", "Long road" and "It’s raining" are outlined by the situation of instructive stories of grandfather about the regionally formed traditions of the Transcarpathians, their spirit and uneasy destiny; while the pieces "On Scotland", "On Slovakia" and "On Japan" outline the interests of somewhat different cognitive significance - the intention to comprehend a certain national "otherness", which has its own color of its culture; in the end, "A Lullaby for Anna" creates, so to say, a backlash against the grand finale-prologue, consisting of the pieces "On Austria" (the cultural center of the European musical classicism) and "On Romania" (regionally closest to Transcarpathia country). Another signifying circumstance of the idea and plan of the cycle refers to the types of performances and personification of images, both as members of the family circle and as a certain social unity: in addition to the versions of solo performance, in a considerable number of plays there is ensemble performance in four and six hands; at the same time, each of the parts is composed as a certain texture layer, which in aggregate (duo, terzetto) gives the effect of an "orchestral" score. However, the most important thing is that for the instrumentalist performer, and for the listener or analyst (who is also a "listener"), the "Children’s Album" by V. Telichko is a test of the ability to perceive musical vocabulary in the form of a certain sound form/idea with which it is necessary to have a relationship according to the algorithm of personal identification. On the one hand, in the musical text there is an opportunity to recognize the classical models of musical vocabulary (cantilena, recitation, motility, general forms of motion, signaling, sound illustration); and on the other - due to the constructive interference of the classical techniques of the creation of musical matter (emancipated dissonance, the non-systemic character of the tonality, etc.) the meanings are accumulated. Another important component of the composer’s plan is to introduce a purely methodical (level of methodical reception) task of developing the technology of the game on the piano into the original sound form/idea, which first of all requires a skillful usage of all the fingers. Conclusions. As a research material the "Children’s Album" by a contemporary composer from Transcarpathia, V. Telichko provides several important and mutually perceptible scientific tasks directly related to musicology and pedagogical practice: testing of the theoretically updated analytical apparatus for tracking the intonational field of music and its thoughts and comprehension of the didactically expedient implementation of its results in the educational sphere; in particular, in terms of the prospective guideline for the development of musicality (a high measure of the ability to self-identification with the musical image) and the piano skills of a child musician.
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Arthur, Claire. "Taking Harmony Into Account." Music Perception 34, no. 4 (April 1, 2017): 405–23. http://dx.doi.org/10.1525/mp.2017.34.4.405.

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Probabilistic models have proved remarkably successful in modeling melodic organization (e.g., Huron, 2006a; Pearce, 2005; Temperley, 2008). However, the majority of these models rely on pitch information taken from melody alone. Given the prevalence of homophonic music in Western culture, however, surprisingly little attention has been directed at exploring the predictive power of harmonic accompaniment in models of melodic organization. The research presented here uses a combination of the three main approaches to empirical musicology—exploratory analysis, modeling, and hypothesis testing—to investigate the influence of harmony on melodic behavior. In this study a comparison is made between models that use only melodic information and models that consider the melodic information along with the underlying harmonic accompaniment to predict melodic continuations. A test of overall performance shows a significant improvement using a melodic-harmonic model. When individual scale degrees are examined, the major diatonic scale degrees are shown to have unique probability distributions for each of their most common harmonic settings. That is, the results suggest a robust effect of harmony on melodic organization. Perceptual implications and directions for future research are discussed.
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Schmuckler, Mark A. "Testing Models of Melodic Contour Similarity." Music Perception 16, no. 3 (1999): 295–326. http://dx.doi.org/10.2307/40285795.

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In two experiments, descriptions of melodic contour structure and predictions of perceived similarity relations between pairs of contours produced by a number of different models are examined. Two of these models, based on the music- theoretic approaches of Friedmann (1985) and Marvin and Laprade (1987), characterize contours in terms of interval content or contour subset information. The remaining two approaches quantify the global shape of the contours, through the presence of cyclical information (assessed via Fourier analysis) and the amount of oscillation (e. g., reversals in direction, pitch deviations) in the contours. Theoretical predictions for contour similarity generated by these models were examined for 20th century, nontonal melodies (Experiment 1) and simplistic, tonal patterns (Experiment 2). These experiments demonstrated that similarity based on Fourier analysis procedures and oscillation measures predicted a derived measure of perceived similarity, with both variables contributing relatively independently; the music- theoretic models were inconsistent in their predictive power. These results suggest that listeners are sensitive to the presence of global shape information in melodic contour, with such information underlying the perception of contour structure and contour similarity.
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Bod, Rens. "Memory-Based Models of Melodic Analysis: Challenging the Gestalt Principles." Journal of New Music Research 31, no. 1 (March 1, 2002): 27–36. http://dx.doi.org/10.1076/jnmr.31.1.27.8106.

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Schmuckler, Mark A. "Melodic Contour Similarity Using Folk Melodies." Music Perception 28, no. 2 (December 1, 2010): 169–94. http://dx.doi.org/10.1525/mp.2010.28.2.169.

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Melodic contour, or the pattern of rises and falls in pitch, is a critical component of melodic structure, and has an important impact on listeners' perceptions of, and memory for, music. Despite its centrality, few formal models of contour structure exist. One recent exception involves characterizing contour by the relative degrees of strength of its cyclic information, quantified via a Fourier analysis of the pitch code of the contour. Three experiments explored the applicability of this approach, demonstrating that listeners' similarity ratings for pairs of melodies were predictable from Fourier analysis quantifications of rhythmically complex (Experiment 1) and rhythmically simple (Experiment 2) melodies, as well as for derived similarity measures based on melodic complexity judgments (Experiment 3). These findings indicate that Fourier analysis is an effective model of melodic contour, and that it can predict perceived melodic similarity.
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Eerola, Tuomas. "Expectancy-Violation and Information-Theoretic Models of Melodic Complexity." Empirical Musicology Review 11, no. 1 (July 8, 2016): 2. http://dx.doi.org/10.18061/emr.v11i1.4836.

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The present study assesses two types of models for melodic complexity: one based on expectancy violations and the other one related to an information-theoretic account of redundancy in music. Seven different datasets spanning artificial sequences, folk and pop songs were used to refine and assess the models. The refinement eliminated unnecessary components from both types of models. The final analysis pitted three variants of the two model types against each other and could explain from 46-74% of the variance in the ratings across the datasets. The most parsimonious models were identified with an information-theoretic criterion. This suggested that the simplified expectancy-violation models were the most efficient for these sets of data. However, the differences between all optimised models were subtle in terms both of performance and simplicity.
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Ray, W. D., and F. Y. M. Wan. "Mathematical Models and Their Analysis." Journal of the Operational Research Society 41, no. 12 (December 1990): 1173. http://dx.doi.org/10.2307/2583116.

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Tom, Eric, and Kevin A. Schulman. "Mathematical Models in Decision Analysis." Infection Control and Hospital Epidemiology 18, no. 1 (January 1997): 65–73. http://dx.doi.org/10.2307/30141966.

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Dissertations / Theses on the topic "Melodic analysis Mathematical models"

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Roschat, Christina [Verfasser]. "Mathematical Analysis of Marine Ecosystem Models / Christina Roschat." Kiel : Universitätsbibliothek Kiel, 2016. http://d-nb.info/1111558604/34.

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Keita, Sana. "Eulerian Droplet Models: Mathematical Analysis, Improvement and Applications." Thesis, Université d'Ottawa / University of Ottawa, 2018. http://hdl.handle.net/10393/37907.

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The Eulerian description of dispersed two-phase flows results in a system of partial differential equations describing characteristics of the flow, namely volume fraction, density and velocity of the two phases, around any point in space over time. When pressure forces are neglected or a same pressure is considered for both phases, the resulting system is weakly hyperbolic and solutions may exhibit vacuum states (regions void of the dispersed phase) or localized unbounded singularities (delta shocks) that are not physically desirable. Therefore, it is crucial to find a physical way for preventing the formation of such undesirable solutions in weakly hyperbolic Eulerian two-phase flow models. This thesis focuses on the mathematical analysis of an Eulerian model for air- droplet flows, here called the Eulerian droplet model. This model can be seen as the sticky particle system with a source term and is successfully used for the prediction of droplet impingement and more recently for the prediction of particle flows in air- ways. However, this model includes only one-way momentum exchange coupling, and develops delta shocks and vacuum states. The main goal of this thesis is to improve this model, especially for the prevention of delta shocks and vacuum states, and the adjunction of two-way momentum exchange coupling. Using a characteristic analysis, the condition for loss of regularity of smooth solutions of the inviscid Burgers equation with a source term is established. The same condition applies to the droplet model. The Riemann problems associated, respectively, to the Burgers equation with a source term and the droplet model are solved. The characteristics are curves that tend asymptotically to straight lines. The existence of an entropic solution to the generalized Rankine-Hugoniot conditions is proven. Next, a way for preventing the formation of delta shocks and vacuum states in the model is identified and a new Eulerian droplet model is proposed. A new hierarchy of two-way coupling Eulerian models is derived. Each model is analyzed and numerical comparisons of the models are carried out. Finally, 2D computations of air-particle flows comparing the new Eulerian droplet model with the standard Eulerian droplet model are presented.
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Racheal, Cooper. "Analysis of Mathematical Models of the Human Lung." VCU Scholars Compass, 2013. http://scholarscompass.vcu.edu/etd/3289.

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The processes of lung ventilation and perfusion, diffusion, and gas transport make up the system of breathing and tissue oxygenation. Here, we present several mathematical formulations of the essential processes that contribute to breathing. These models aid in our understanding and analysis of this complex system and can be used to form treatments for patients on ventilators. With the right analysis and treatment options, patients can be helped and money can be saved. We conclude with the formulation of a mathematical model for the exchange of gasses in the body based on basic reaction kinetics.
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Wu, Guangxi. "Sensitivity and uncertainty analysis of subsurface drainage design." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/28529.

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Literature on subsurface drainage theories, determination of drainage parameters, and analysis approaches of uncertainty was reviewed. Sensitivity analysis was carried out on drain spacing equations for steady state and nonsteady state, in homogeneous soils and in layered soils. It was found that drain spacing is very sensitive to the hydraulic conductivity, the drainage coefficient, and the design midspan water table height. Spacing is not sensitive to the depth of the impermeable layer and the drain radius. In transient state, spacing is extremely sensitive to the midspan water table heights if the water table fall is relatively small. In that case steady state theory will yield more reliable results and its use is recommended. Drain spacing is usually more sensitive to the hydraulic conductivity of the soil below the drains than to that of the soil above the drains. Therefore, it is desirable to take samples from deeper soil when measuring hydraulic conductivity. A new spacing formula was developed for two-layered soils and a special case of three-layered soils with drains at the interface of the top two layers. This equation was compared with the Kirkham equation. The new formula yields spacings close to the Kirkham equation if the hydraulic conductivity of the soil above the drains is relatively small; otherwise, it tends to give more accurate results. First and second order analysis methods were employed to analyze parameter uncertainty in subsurface drainage design. It was found that conventional design methods based on a deterministic framework may result in inadequate spacing due to the uncertainty involved. Uncertainty may be incorporated into practical design by using the simple equations and graphs presented in this research; the procedure was illustrated through an example. Conclusions were drawn from the present study and recommendations were made for future research.
Applied Science, Faculty of
Graduate
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El-Hachem, Maud. "Mathematical models of biological invasion." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/232864/1/Maud_El-Hachem_Thesis.pdf.

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This thesis studies mathematical models of a population of cells invading the surrounding environment or another living population. A classical single-species model is reformulated using a moving boundary to track the position of the moving front of the invading population. The moving boundary is also used to separate two populations. Other models studied are coupled partial differential equations to describe the interaction of a population with another one. Different types of interaction are represented: the degradation of healthy skin by cancer and the growth of bone tissue on substrate.
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Harris, David Wayne. "A degradation analysis methodology for maintenance tasks." Thesis, Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/24867.

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Mercurio, Matthew Forrest. "Divider analysis of drainage divides delineated at the field scale." Virtual Press, 2004. http://liblink.bsu.edu/uhtbin/catkey/1306855.

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Previous works have applied the Divider Method to the shapes of drainage divides as measured from maps. This study focuses on the shapes of several drainage divides measured in the field at very fine scale. These divides, chosen for their sharp crests, include portions of the Continental Divide in Colorado and badlands-type divides in Arizona, Wyoming, South Dakota, and Texas. The badlands type divides were delineated using a laser theodolite to collect data at decimeter point spacing, and the Continental Divide segments were delineated using pace and bearing at a constant point spacing of 30 meters. A GIS was used to store and visualize the divide data, and an automated divider analysis was performed for each of the 16 drainage divides.The Richardson plots produced for each of the drainage divide datasets were visually inspected for portions of linearity. Fractal dimensions (D) were calculated using linear regression techniques for each of the linear segments identified in the Richardson plots. Six of the plots exhibited two distinct segments of linearity, nine plots exhibited one segment, and one plot exhibited no segments of linearity. Residual analyses of the trend lines show that about half of the Richardson plot segments used to calculate D exhibit slight curvature. While these segments are not strictly linear, linear models and associated D values may still serve well as approximations to describe degree of divide wandering.Most (20 out of 21) of the dimensions derived from the Richardson plots for the drainage divides fall within the range from 1.01-1.07. The D values calculated for the Continental Divide range from 1.02-1.07. The dimensions calculated for the badlandtype divides were distributed evenly across the range of 1.01-1.06, with a single exceptional D value at 1.12. Only four of the divide D values fall within a range of 1.06–1.12, the range for D established for drainage divides in published map-based studies, despite the apparent dominance of erosion processes on the measured divides.
Department of Geology
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Beckham, Jon Regan. "Analysis of mathematical models of electrostatically deformed elastic bodies." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 169 p, 2008. http://proquest.umi.com/pqdweb?did=1475178561&sid=27&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Tumanova, Natalija. "The Numerical Analysis of Nonlinear Mathematical Models on Graphs." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2012. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120720_121648-24321.

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The numerical algorithms for non-stationary mathematical models in non-standard domains are investigated in the dissertation. The problem definition domain is represented by branching structures with conjugation equations considered at the branching points. The numerical analysis of the conjugation equations and non-classical boundary conditions distinguish considered problems among the classical problems of mathematical physics presented in the literature. The scope of the dissertation covers the investigation of stability and convergence of the numerical algorithms on branching structures with different conjugation equations, the construction and implementation of parallel algorithms, the investigation of the numerical schemes for the problems with nonlocal integral conditions. The modeling of the excitation of neuron and photoexcited carrier decay in a semiconductor, also the problem of the identification of nonlinear model are considered in the dissertation.
Disertacijoje nagrinėjami nestacionarių matematinių modelių nestandartinėse srityse skaitiniai sprendimo algoritmai. Uždavinio formulavimo sritis yra šakotosios strukturos (ang. branching structures), kurių išsišakojimo taškuose apibrežiami tvermės dėsniai. Tvermės dėsnių skaitinė analizė ir nestandartinių kraštinių sąlygų analizė skiria nagrinėjamus uždavinius nuo klasikinių aprašytų literatūroje matematinės fizikos uždaviniu. Disertacijoje suformuluoti uždaviniai apima skaitinių algoritmų šakotose struktūrose su skirtingais srautų tvermės dėsniais stabilumo ir konvergavimo tyrimą, lygiagrečiųjų algoritmų sudarymą ir taikymą, skaitinių schemų uždaviniams su nelokaliomis integralinėmis sąlygomis tyrimą. Disertacijoje sprendžiami taikomieji neurono sužadinimo ir impulso relaksacijos lazerio apšviestame puslaidininkyje uždaviniai, netiesinio modelio identifikavimo uždavinys.
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Chiang, T. "Mathematical and statistical models for the analysis of protein." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.597600.

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Protein interactions, both amongst themselves and with other molecules, are responsible for much of the work within the cellular machine. As the number of protein interaction data sets grow in number and in size, from experiments such as Yeast 2-Hybrid or Affinity Purification followed by Mass Spectrometry, there is a need to analyse the data both quantitatively and qualitatively. One area of research is determining how reliable a report of a protein interaction is – whether it could be reproduced if the experiment were repeated, or if it were tested using an independent assay. One might aim to score each reported interaction using a quantitative measure of reliability. Ultimately, protein interactions need to be addressed at the systems level where both the dynamic and functional nature of protein complexes and other types of interactions is ascertained. In this dissertation, I present two methodological developments that are useful towards elucidating the nature of protein interaction graphs in the model organism Saccharomyces cerevisiae. The first one aims to estimate the sensitivity and specificity of a protein interaction data set, and does that, as much as possible, by looking at the data set’s internal consistency and reproducibility. The second method aims to estimate the node degree distribution, using a multinomial model which is fit by maximum likelihood. In the development of the methods for the analysis of the protein interactions, computational tools were built in the statistical environment R. Such tools are necessary for the implementation of each analytic step, for rendering visualisations of intermediate and conclusive results, and for the construction of optimal work-flows so as to make our research reproducible and extensible. We have also included such a work-flow in this dissertation as well as the software engineering component of the research.
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Books on the topic "Melodic analysis Mathematical models"

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Mathematical models and their analysis. New York: Harper & Row, 1989.

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1923-, Bell Stoughton, ed. Mathematical analysis for modeling. Boca Raton, Fla: CRC Press, 1999.

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1945-, Hammond Peter J., ed. Mathematics for economic analysis. Englewood Cliffs, N.J: Prentice Hall, 1995.

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J, Hammond Peter, ed. Mathematics for economic analysis. Englewood Cliffs, N.J: Prentice-Hall, 1995.

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1945-, Hammond Peter J., ed. Mathematics for economic analysis. Delhi: Dorling Kindersley, Pearson Education, 2006.

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Martin, Lambert, ed. Engineering modelling and analysis. London: Taylor & Francis, 2009.

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Mathematical models for elastic structures. Cambridge: Cambridge University Press, 1997.

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Mathematical optimization and economic analysis. New York: Springer, 2010.

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Atangana, Abdon. Mathematical Analysis of Groundwater Flow Models. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266.

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Destuynder, Philippe, and Michel Salaun. Mathematical Analysis of Thin Plate Models. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-51761-7.

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Book chapters on the topic "Melodic analysis Mathematical models"

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Frauenthal, James C. "Analysis of Age-Structure Models." In Mathematical Ecology, 117–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-69888-0_6.

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Efendiev, Messoud. "Mathematical Analysis of Vitro Models." In Mathematical Modeling of Mitochondrial Swelling, 55–145. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99100-9_4.

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Agami Reddy, T. "Mathematical Models and Data Analysis." In Applied Data Analysis and Modeling for Energy Engineers and Scientists, 1–25. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-9613-8_1.

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Shillor, Meir, Mircea Sofonea, and Józef Joachim Telega. "6 Mathematical Preliminaries." In Models and Analysis of Quasistatic Contact, 85–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-44643-9_6.

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Florian, Michael. "Nonlinear cost network models in transportation analysis." In Mathematical Programming Studies, 167–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0121092.

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Ryan, Peter Y. A. "Mathematical Models of Computer Security." In Foundations of Security Analysis and Design, 1–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45608-2_1.

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Wonham, M. J., and M. A. Lewis. "A Comparative Analysis of Models for West Nile Virus." In Mathematical Epidemiology, 365–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78911-6_14.

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Wählby, Carolina. "Image Segmentation, Processing and Analysis in Microscopy and Life Science." In Mathematical Models in Biology, 1–16. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23497-7_1.

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Donato, Maria Bernadette, Antonino Maugeri, Monica Milasi, and Antonio Villanacci. "Variational Inequalities and General Equilibrium Models." In Mathematical Analysis in Interdisciplinary Research, 169–212. Cham: Springer International Publishing, 2012. http://dx.doi.org/10.1007/978-3-030-84721-0_11.

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Friedman, Avner. "Cancer Models and Their Mathematical Analysis." In Tutorials in Mathematical Biosciences III, 223–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11561606_6.

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Conference papers on the topic "Melodic analysis Mathematical models"

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Kubo, Akisato. "Mathematical Analysis of Models for Tumour Angiogenesis." In 2008 International Conference on Biomedical Engineering And Informatics (BMEI). IEEE, 2008. http://dx.doi.org/10.1109/bmei.2008.92.

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Serykh, V. I., G. G. Egiazaryan, and Yu A. Palchun. "Analysis of Generalized Mathematical Models for QMS." In 2006 8th International Conference on Actual Problems of Electronic Instrument Engineering. IEEE, 2006. http://dx.doi.org/10.1109/apeie.2006.4292504.

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Vecherkovskaya, Anastasiya, and Svitlana Popereshnyak. "Comparative analysis of mathematical models forming filter elements." In 2017 XIIIth International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). IEEE, 2017. http://dx.doi.org/10.1109/memstech.2017.7937545.

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XIA, K. L., F. XIN, Y. TONG, and G. W. WEI. "MATHEMATICAL MODELS AND TECHNIQUES FOR BIOMOLECULAR GEOMETRIC ANALYSIS." In International Symposium on Mathematical and Computational Biology. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814520829_0011.

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Weckesser, Markus, Malte Lochau, Michael Ries, and Andy Schürr. "Mathematical Programming for Anomaly Analysis of Clafer Models." In MODELS '18: ACM/IEEE 21th International Conference on Model Driven Engineering Languages and Systems. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3239372.3239398.

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Corum, Kimberly, Kara Melike, Emma Talbot, and Tatiana Ilina. "An analysis of students’ mathematical models for Music." In 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. PMENA, 2020. http://dx.doi.org/10.51272/pmena.42.2020-146.

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Sherstneva, A. "The analysis of mathematical models functioning call center." In 2012 IEEE 13th International Conference and Seminar of Young Specialists on Micro/Nanotechnologies and Electron Devices (EDM 2012). IEEE, 2012. http://dx.doi.org/10.1109/edm.2012.6310187.

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Grekov, Mikhail A. "Mathematical models of boundary value problems in nanomechanics." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992351.

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Voronkova, Eva B., and Daria I. Zhuravleva. "Sensitivity analysis of mathematical models of the IOP changes." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342197.

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Cheffer de Melo, Augusto Luiz, and Marcelo Savi. "RANDOMNESS EFFECT ON HEART DYNAMICS ANALYSIS USING MATHEMATICAL MODELS." In 25th International Congress of Mechanical Engineering. ABCM, 2019. http://dx.doi.org/10.26678/abcm.cobem2019.cob2019-0721.

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Reports on the topic "Melodic analysis Mathematical models"

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Rector, D. R., C. L. Wheeler, and N. J. Lombardo. COBRA-SFS (Spent Fuel Storage): A thermal-hydraulic analysis computer code: Volume 1, Mathematical models and solution method. Office of Scientific and Technical Information (OSTI), November 1986. http://dx.doi.org/10.2172/6912964.

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Markova, Oksana M., Serhiy O. Semerikov, Andrii M. Striuk, Hanna M. Shalatska, Pavlo P. Nechypurenko, and Vitaliy V. Tron. Implementation of cloud service models in training of future information technology specialists. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3270.

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Leading research directions are defined on the basis of self-analysis of the study results on the use of cloud technologies in training by employees of joint research laboratory “Сloud technologies in education” of Kryvyi Rih National University and Institute of Information Technology and Learning Aids of the NAES of Ukraine in 2009-2018: cloud learning technologies, cloud technologies of blended learning, cloud-oriented learning environments, cloud-oriented methodological systems of training, the provision of cloud-based educational services. The ways of implementation SaaS, PaaS, IaaS cloud services models which are appropriate to use in the process of studying the academic disciplines of the cycles of mathematical, natural science and professional and practical training of future specialists in information technology are shown, based on the example of software engineering, computer science and computer engineering. The most significant advantages of using cloud technologies in training of future information technology specialists are definite, namely, the possibility of using modern parallel programming tools as the basis of cloud technologies. Conclusions are drawn; the direction of further research is indicated: designing a cloud-oriented learning environment for future specialists in computer engineering, identifying trends in the development of cloud technologies in the professional training and retraining of information technology specialists, developing a methodology for building the research competencies of future software engineering specialists by using cloud technologies.
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Lovianova, Iryna V., Dmytro Ye Bobyliev, and Aleksandr D. Uchitel. Cloud calculations within the optional course Optimization Problems for 10th-11th graders. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3267.

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The article deals with the problem of introducing cloud calculations into 10th-11th graders’ training to solve optimization problems in the context of the STEM-education concept. After analyzing existing programmes of optional courses on optimization problems, the programme of the optional course Optimization Problems has been developed and substantiated implying solution of problems by the cloud environment CoCalc. It is a routine calculating operation and not a mathematical model that is accentuated in the programme. It allows considering more problems which are close to reality without adapting the material while training 10th-11th graders. Besides, the mathematical apparatus of the course which is partially known to students as the knowledge acquired from such mathematics sections as the theory of probability, mathematical statistics, mathematical analysis and linear algebra is enough to master the suggested course. The developed course deals with a whole class of problems of conventional optimization which vary greatly. They can be associated with designing devices and technological processes, distributing limited resources and planning business functioning as well as with everyday problems of people. Devices, processes and situations to which a model of optimization problem is applied are called optimization problems. Optimization methods enable optimal solutions for mathematical models. The developed course is noted for building mathematical models and defining a method to be applied to finding an efficient solution.
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Klymenko, Mykola V., and Andrii M. Striuk. Development of software and hardware complex of GPS-tracking. CEUR Workshop Proceedings, March 2021. http://dx.doi.org/10.31812/123456789/4430.

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The paper considers the typical technical features of GPS-tracking systems and their development, as well as an analysis of existing solutions to the problem. Mathematical models for the operation of hardware and software of this complex have been created. An adaptive user interface has been developed that allows you to use this complex from a smartphone or personal computer. Methods for displaying the distance traveled by a moving object on an electronic map have been developed. Atmega162-16PU microcontroller software for GSM module and GPS receiver control has been developed. A method of data transfer from a GPS tracker to a web server has been developed. Two valid experimental samples of GPS-trackers were made and tested in uncertain conditions. The GPS-tracking software and hardware can be used to monitor the movement of moving objects that are within the coverage of GSM cellular networks.
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Clausen, Jay, Christopher Felt, Michael Musty, Vuong Truong, Susan Frankenstein, Anna Wagner, Rosa Affleck, Steven Peckham, and Christopher Williams. Modernizing environmental signature physics for target detection—Phase 3. Engineer Research and Development Center (U.S.), March 2022. http://dx.doi.org/10.21079/11681/43442.

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The present effort (Phase 3) builds on our previously published prior efforts (Phases 1 and 2), which examined methods of determining the probability of detection and false alarm rates using thermal infrared for buried object detection. Environmental phenomenological effects are often represented in weather forecasts in a relatively coarse, hourly resolution, which introduces concerns such as exclusion or misrepresentation of ephemera or lags in timing when using this data as an input for the Army’s Tactical Assault Kit software system. Additionally, the direct application of observed temperature data with weather model data may not be the best approach because metadata associated with the observations are not included. As a result, there is a need to explore mathematical methods such as Bayesian statistics to incorporate observations into models. To better address this concern, the initial analysis in Phase 2 data is expanded in this report to include (1) multivariate analyses for detecting objects in soil, (2) a moving box analysis of object visibility with alternative methods for converting FLIR radiance values to thermal temperature values, (3) a calibrated thermal model of soil temperature using thermal IR imagery, and (4) a simple classifier method for automating buried object detection.
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Tanny, Josef, Gabriel Katul, Shabtai Cohen, and Meir Teitel. Micrometeorological methods for inferring whole canopy evapotranspiration in large agricultural structures: measurements and modeling. United States Department of Agriculture, October 2015. http://dx.doi.org/10.32747/2015.7594402.bard.

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Original objectives and revisions The original objectives as stated in the approved proposal were: (1) To establish guidelines for the use of micrometeorological techniques as accurate, reliable and low-cost tools for continuous monitoring of whole canopy ET of common crops grown in large agricultural structures. (2) To adapt existing methods for protected cultivation environments. (3) To combine previously derived theoretical models of air flow and scalar fluxes in large agricultural structures (an outcome of our previous BARD project) with ET data derived from application of turbulent transport techniques for different crops and structure types. All the objectives have been successfully addressed. The study was focused on both screenhouses and naturally ventilated greenhouses, and all proposed methods were examined. Background to the topic Our previous BARD project established that the eddy covariance (EC) technique is suitable for whole canopy evapotranspiration measurements in large agricultural screenhouses. Nevertheless, the eddy covariance technique remains difficult to apply in the farm due to costs, operational complexity, and post-processing of data – thereby inviting alternative techniques to be developed. The subject of this project was: 1) the evaluation of four turbulent transport (TT) techniques, namely, Surface Renewal (SR), Flux-Variance (FV), Half-order Time Derivative (HTD) and Bowen Ratio (BR), whose instrumentation needs and operational demands are not as elaborate as the EC, to estimate evapotranspiration within large agricultural structures; and 2) the development of mathematical models able to predict water savings and account for the external environmental conditions, physiological properties of the plant, and structure properties as well as to evaluate the necessary micrometeorological conditions for utilizing the above turbulent transfer methods in such protected environments. Major conclusions and achievements The major conclusions are: (i) the SR and FV techniques were suitable for reliable estimates of ET in shading and insect-proof screenhouses; (ii) The BR technique was reliable in shading screenhouses; (iii) HTD provided reasonable results in the shading and insect proof screenhouses; (iv) Quality control analysis of the EC method showed that conditions in the shading and insect proof screenhouses were reasonable for flux measurements. However, in the plastic covered greenhouse energy balance closure was poor. Therefore, the alternative methods could not be analyzed in the greenhouse; (v) A multi-layered flux footprint model was developed for a ‘generic’ crop canopy situated within a protected environment such as a large screenhouse. The new model accounts for the vertically distributed sources and sinks within the canopy volume as well as for modifications introduced by the screen on the flow field and microenvironment. The effect of the screen on fetch as a function of its relative height above the canopy is then studied for the first time and compared to the case where the screen is absent. The model calculations agreed with field experiments based on EC measurements from two screenhouse experiments. Implications, both scientific and agricultural The study established for the first time, both experimentally and theoretically, the use of four simple TT techniques for ET estimates within large agricultural screenhouses. Such measurements, along with reliable theoretical models, will enable the future development of lowcost ET monitoring system which will be attainable for day-to-day use by growers in improving irrigation management.
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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, July 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden engineering participation. Knowledge generated around using peer-facilitated instruction at two-year colleges can improve underrepresented students' success and participation in engineering across a broad range of institutions. Students in the program participated in peer-facilitated recitation sessions linked to fundamental engineering courses, such as engineering analysis, statics, and dynamics. These courses have the highest failure rate among women and underrepresented minority students. As a mixed-methods evaluation study, student engagement was measured as students' comfort with asking questions, collaboration with peers, and applying mathematics concepts. SPSS was used to analyze pre-and post-surveys for statistical significance. Qualitative data were collected through classroom observations and focus group sessions with recitation leaders. Semi-structured interviews were conducted with faculty members and students to understand their experiences in the program. Findings revealed that women students had marginalization and intimidation perceptions primarily from courses with significantly more men than women. However, they shared numerous strategies that could support them towards success through the engineering pathway. Women and underrepresented students perceived that they did not have a network of peers and faculty as role models to identify within engineering disciplines. The recitation sessions had a positive social impact on Hispanic women. As opportunities to collaborate increased, Hispanic womens' social engagement was expected to increase. This social engagement level has already been predicted to increase women students' persistence and retention in engineering and result in them not leaving the engineering pathway. An analysis of quantitative survey data from students in the three engineering courses revealed a significant effect of race and ethnicity for comfort in asking questions in class, collaborating with peers outside the classroom, and applying mathematical concepts. Further examination of this effect for comfort with asking questions in class revealed that comfort asking questions was driven by one or two extreme post-test scores of Asian students. A follow-up ANOVA for this item revealed that Asian women reported feeling excluded in the classroom. However, it was difficult to determine whether these differences are stable given the small sample size for students identifying as Asian. Furthermore, gender differences were significant for comfort in communicating with professors and peers. Overall, women reported less comfort communicating with their professors than men. Results from student metrics will inform faculty professional development efforts to increase faculty support and maximize student engagement, persistence, and retention in engineering courses at community colleges. Summative results from this project could inform the national STEM community about recitation support to further improve undergraduate engineering learning and educational research.
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Modlo, Yevhenii O., Serhiy O. Semerikov, Stanislav L. Bondarevskyi, Stanislav T. Tolmachev, Oksana M. Markova, and Pavlo P. Nechypurenko. Methods of using mobile Internet devices in the formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], February 2020. http://dx.doi.org/10.31812/123456789/3677.

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An analysis of the experience of professional training bachelors of electromechanics in Ukraine and abroad made it possible to determine that one of the leading trends in its modernization is the synergistic integration of various engineering branches (mechanical, electrical, electronic engineering and automation) in mechatronics for the purpose of design, manufacture, operation and maintenance electromechanical equipment. Teaching mechatronics provides for the meaningful integration of various disciplines of professional and practical training bachelors of electromechanics based on the concept of modeling and technological integration of various organizational forms and teaching methods based on the concept of mobility. Within this approach, the leading learning tools of bachelors of electromechanics are mobile Internet devices (MID) – a multimedia mobile devices that provide wireless access to information and communication Internet services for collecting, organizing, storing, processing, transmitting, presenting all kinds of messages and data. The authors reveals the main possibilities of using MID in learning to ensure equal access to education, personalized learning, instant feedback and evaluating learning outcomes, mobile learning, productive use of time spent in classrooms, creating mobile learning communities, support situated learning, development of continuous seamless learning, ensuring the gap between formal and informal learning, minimize educational disruption in conflict and disaster areas, assist learners with disabilities, improve the quality of the communication and the management of institution, and maximize the cost-efficiency. Bachelor of electromechanics competency in modeling of technical objects is a personal and vocational ability, which includes a system of knowledge, skills, experience in learning and research activities on modeling mechatronic systems and a positive value attitude towards it; bachelor of electromechanics should be ready and able to use methods and software/hardware modeling tools for processes analyzes, systems synthesis, evaluating their reliability and effectiveness for solving practical problems in professional field. The competency structure of the bachelor of electromechanics in the modeling of technical objects is reflected in three groups of competencies: general scientific, general professional and specialized professional. The implementation of the technique of using MID in learning bachelors of electromechanics in modeling of technical objects is the appropriate methodic of using, the component of which is partial methods for using MID in the formation of the general scientific component of the bachelor of electromechanics competency in modeling of technical objects, are disclosed by example academic disciplines “Higher mathematics”, “Computers and programming”, “Engineering mechanics”, “Electrical machines”. The leading tools of formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects are augmented reality mobile tools (to visualize the objects’ structure and modeling results), mobile computer mathematical systems (universal tools used at all stages of modeling learning), cloud based spreadsheets (as modeling tools) and text editors (to make the program description of model), mobile computer-aided design systems (to create and view the physical properties of models of technical objects) and mobile communication tools (to organize a joint activity in modeling).
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