Relevant bibliographies by topics / Mathematical dependence

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematical dependence'

Author: Grafiati
Published: 28 May 2022
Last updated: 30 July 2025

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Journal articles on the topic "Mathematical dependence"

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Moiseienko, Lidiia, and Liubov Shehda. "Dependence of Mathematical Errors on Mathematical Thinking Style." Collection of Research Papers "Problems of Modern Psychology", no. 54 (December 3, 2021): 116–36. http://dx.doi.org/10.32626/2227-6246.2021-54.116-136.

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Csizmás, Edit, and Edith Kovács. "The effect of the dependence structure on risk measures." Gradus 8, no. 3 (2021): 157–71. http://dx.doi.org/10.47833/2021.3.csc.004.

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After the financial crisis of 2008, the goodness of mathematical models became strongly questionable. One of the main targets of the attacks was the application of the Gaussian copula. The risk measures proposed were the Value at Risk (VaR) and Conditional Value at Risk (CVaR). We show how the values of these risk measures are influenced by different kinds of dependency structures, which are modelled by different copulas. Archimedean copulas are used for modelling tail dependences and asymmetrical dependencies. We present their impact on the portfolio’s probability distribution. We explain why
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Kamyshentsev, Gennadiy. "DEVELOPMENT OF A MATHEMATICAL MODEL OF REGISTRATION OF INDIRECT SIGNS OF EMERGENCY SITUATIONS OF TECHNOGENIC CHARACTER AT CRITICAL INFRINGED OBJECTS." Information and Public Safety, no. 2021-2 (May 15, 2021): 18–24. http://dx.doi.org/10.53029/2786-4529-2021-2-3.

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In the work on the basis of the analysis of vulnerability of objects of critical infrastructure, the mathematical model of registration of indirect signs of emergence of an emergency situation of technogenic character on objects of critical infrastructure is developed. The main parameters of the functional environment of mathematical model formation are analyzed and the basic equations of interrelation between variable and invariant parameters are determined. A description of the mathematical model is given. Mathematical model of registration of indirect signs of man-made emergency at critical
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Bazilo, C. V., M. O. Bondarenko, V. V. Khlivnyi, M. H. Tomenko, and V. I. Tomenko. "Mathematical Modelling of Rod-Type Piezo-Electric Transducers for Acoustoelectronic Devices." Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, no. 86 (September 30, 2021): 58–67. https://doi.org/10.20535/radap.2021.86.58-67.

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The work is devoted to the peculiarities of the construction and study of mathematical models of rod-type piezoelectric transducers, which are widely used in various acoustoelectronic devices (hydroacoustic means of target detection, ultrasonic non-destructive testing, medical diagnostics, etc.). In contrast to the existing mathematical models of piezoelectric transducers (based on amplitude-phase dependences, resonant piezoelectric transducers, equivalent circuits, etc.), the proposed mathematical model makes it possible to establish a dependence, which is a mathematical description of the ac
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Rashkevych, N., R. Shevchenko, and T. Vovchuk. "DEVELOPMENT OF A MATHEMATICAL MODEL FOR ANALYSING THE HAZARDOUS IMPACT ON THE STATE OF GROUNDWATER IN CITY AGGLOMERATIONS FROM MISSILE AND ARTILLERY ATTACKS." Municipal economy of cities 1, no. 182 (2024): 229–40. http://dx.doi.org/10.33042/2522-1809-2024-1-182-229-240.

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The authors have developed a mathematical model for analysing the hazardous impact on the groundwater in urban agglomerations from missile and artillery attacks. The mathematical model consists of a system of four analytical dependencies. The first analytical dependence describes determining the area of groundwater intake from the groundwater level, considering the presence of artificial coatings, infiltration, evaporation, and transpiration, as well as the effect of evapotranspiration. The second dependence determines the area of influence of the missile and artillery danger from the type of
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Sorocolat, Nataliia, and Lina Fatieieva. "APPLICATION OF THE ERROR FUNCTION FOR ASSESSING THE QUALITY OF QUALIMETRY OBJECTS." Bulletin of the National Technical University «KhPI» Series: New solutions in modern technologies, no. 4(14) (December 28, 2022): 53–58. http://dx.doi.org/10.20998/2413-4295.2022.04.08.

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The existing functional dependencies between the measured values of quality indicators and their evaluation on a dimensionless scale, which were used to evaluate qualimetry objects of different nature, are analyzed. It is shown that for an objective assessment of qualimetry objects, as a rule, it is necessary to apply nonlinear dependencies. The main task of the researcher is to choose the type of nonlinear dependence, it requires additional scientific research. A tool for choosing a particular nonlinear dependence is to understand the physical essence of the qualimetry object, that is, to und
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Solodovnikov, A. V., D. A. Odentsov, E. V. Kravtsov, V. V. Golubyatnik, and D. A. Shcheblykin. "Mathematical model for calculating pressure in a pulsating combustion chamber." VESTNIK of Samara University. Aerospace and Mechanical Engineering 21, no. 1 (2022): 81–90. http://dx.doi.org/10.18287/2541-7533-2022-21-1-81-90.

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Due to insufficient knowledge of the processes occurring in the chambers of pulsating combustion, as well as lack of mathematical dependencies that make it possible to fully describe the parameters of such chambers, the authors of this article present a model for calculating pressure fluctuations as a function of time. The resulting dependence is based on the fact that the combustion of fuel takes place according to an isochoric cycle, whereas the outflow of gas through a resonant tube is an isothermal process. The conditions for applying the mathematical model and its features are described.
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Nedostup, A. A., and P. V. Nasenkov. "Experimental studies of the characteristics of twisted fishing materials." Trudy VNIRO 198, no. 1 (2025): 123–29. https://doi.org/10.36038/2307-3497-2024-198-123-129.

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The purpose of the work is to develop mathematical dependencies of the physical and mechanical characteristics of twisted fishing materials. The creation of a mathematical apparatus for modeling the geometric and force parameters of twisted fishing materials is a priority task for the development of new materials for industrial fishing and aquaculture.Methods used: Mathematical analysis of the obtained experimental data on the relative elongation and breaking load of fishing materials in order to determine the dependence of the forces on the structural and geometric characteristics of twisted
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Vasyliev, Oleksii, Oleksandr Chalyi, and Ilona Vasylieva. "Mathematical Methods and Models in Linguistics." Ukraina Moderna 27, no. 27 (2019): 9–28. http://dx.doi.org/10.30970/uam.2019.27.1060.

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In this article, relevant approaches to creating and using mathematical models in linguistics are examined. Analyzed are the types of mathematical methods used to solve linguistic tasks. Also investigated are the fundamental principles for creating mathematical models. Stressed in particular is that the approach usually applied in solving physical tasks can be effective. Its typical feature is that a universal theory explaining the interaction among a system’s functional elements on the most general level is the basis of the model. In this case, the necessary approximating dependencies are not
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Sevastyanova, Yuliya V., Evgeniy А. Toptunov, Natalia V. Shcherbak, and Pavel V. Solntsev. "Determination of the Mathematical Dependence of the Black Liquor Density on the Dry Matter Content (High Yield Softwood Pulp)." Lesnoy Zhurnal (Forestry Journal), no. 1 (February 9, 2021): 192–200. http://dx.doi.org/10.37482/0536-1036-2021-1-192-200.

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A modern evaporator station is an energy-saving production of evaporated liquor with high dry matter content for ensuring the minimum SO2 emissions from the soda recovery boiler. Such stations are equipped with Falling Film devices and consist of 5–7 stages. The necessity to improve and create new black liquor concentrators is driven by the increased attention to environmental issues and the wish to produce liquor with a higher calorific value. The physical properties of black liquor depend on its composition and have a significant impact on the selection and design of evaporators. The main pr
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Dissertations / Theses on the topic "Mathematical dependence"

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Svensson, Jens. "On Importance Sampling and Dependence Modeling." Doctoral thesis, KTH, Matematik (Inst.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11272.

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This thesis consists of four papers. In the first paper, Monte Carlo simulation for tail probabilities of heavy-tailed random walks is considered. Importance sampling algorithms are constructed by using mixtures of the original distribution with some other state-dependent distributions. Sufficient conditions under which the relative error of such algorithms is bounded are found, and the bound is calculated. A new mixture algorithm based on scaling of the original distribution is presented and compared to existing algorithms. In the second paper, Monte Carlo simulation of quantiles is treated.
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Hosking, Rosalie Joan. "Context-Dependence of Mathematical Activity: A Case Study Concerning Edo Period Japan." Thesis, University of Canterbury. Humanities, 2011. http://hdl.handle.net/10092/6578.

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At the beginning of the Edo period (1600-1868 CE) the Japanese Tokugawa shōgunate enforced the famous closed country policy. During the period of isolation that would ensue until the Meiji Restoration, mathematics flourished like never before. The new tradition that arose was rich and diverse, with mathematics manifesting itself through different practitioners in many different ways. And, for the first time in Japanese history, mathematics began to diverge from Chinese practice, developing a uniquely Japanese identity. Because of this, we therefore can look to Edo mathematics with the expecta
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Yeo, Keng Leong Actuarial Studies Australian School of Business UNSW. "Claim dependence in credibility models." Awarded by:University of New South Wales. School of Actuarial Studies, 2006. http://handle.unsw.edu.au/1959.4/25971.

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Existing credibility models have mostly allowed for one source of claim dependence only, that across time for an individual insured risk or a group of homogeneous insured risks. Numerous circumstances demonstrate that this may be inadequate and insufficient. In this dissertation, we developed a two-level common effects model, based loosely on the Bayesian model, which allows for two possible sources of dependence, that across time for the same individual risk and that between risks. For the case of Normal common effects, we are able to derive explicit formulas for the credibility premium. This
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Ramnarayan, Kalind. "Level Dependence in Volatility in Linear-Rational Term Structure Models." Master's thesis, Faculty of Commerce, 2019. http://hdl.handle.net/11427/31207.

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The degree of level dependence in interest rate volatility is analysed in the linearrational term structure model. The linear-rational square-root (LRSQ) model, where level dependence is set a priori, is compared to a specification where the factor process follows CEV-type dynamics which allows a more flexible degree of level dependence. Parameters are estimated using an unscented Kalman filter in conjunction with quasi-maximum likelihood. An extended specification for the state price density process is required to ensure reliable parameter estimates. The empirical analysis indicates that the
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Bere, Alphonce. "Some non-standard statistical dependence problems." University of the Western Cape, 2016. http://hdl.handle.net/11394/4868.

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Philosophiae Doctor - PhD<br>The major result of this thesis is the development of a framework for the application of pair-mixtures of copulas to model asymmetric dependencies in bivariate data. The main motivation is the inadequacy of mixtures of bivariate Gaussian models which are commonly fitted to data. Mixtures of rotated single parameter Archimedean and Gaussian copulas are fitted to real data sets. The method of maximum likelihood is used for parameter estimation. Goodness-of-fit tests performed on the models giving the highest log-likelihood values show that the models fit the data we
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Chen, Yiqing, and 陳宜清. "Study on insurance risk models with subexponential tails and dependence structures." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B42841768.

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Liou, Chorng-Lii. "An improved formulation of the temperature dependence of the Gummel-Poon bipolar transistor model equations." PDXScholar, 1992. https://pdxscholar.library.pdx.edu/open_access_etds/4361.

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A number of shortcomings were found after complete derivation of the temperature dependence of equations, and the expressions related to the Early effect in the present Gummel-Poon 2 model, as implemented in the TEKSPICE program. The formulation and application of improved model equations is presented, followed by a detailed comparison of the existing model with the one developed in this work.
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Castro, Carlos. "Essays in dependence and optimality in large portfolios." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210186.

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This thesis is composed of three chapters. The first two chapters provides novel approaches for<p>modeling and estimating the dependence structure for a large portfolio of assets using rating data.<p>In both chapters a natural form of organizing a portfolio in terms of the levels of exposure to economic sectors and geographical regions, plays a key role in setting up the dependence structure.<p>The last chapter investigates weather financial strategies that exploit sector or geographical heterogeneity in the asset space are relevant in terms of portfolio optimization. This is also done in a co
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Hudson, Dominic A. "A validation study on mathematical models of speed and frequency dependence in seakeeping of high speed craft." Thesis, University of Southampton, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299687.

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Gaigalas, Raimundas. "A Non-Gaussian Limit Process with Long-Range Dependence." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3993.

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Books on the topic "Mathematical dependence"

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Odelstad, Jan. Invariance and structural dependence. Springer-Verlag, 1992.

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Obstfeld, Maurice. Intertemporal dependence, impatience, and dynamics. National Bureau of Economic Research, 1989.

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Kurowicka, Dorota, and Harry Joe. Dependence modeling: Vine copula handbook. World Scientific, 2011.

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Samorodnitsky, Gennady. Long range dependence. Now Publishers, Inc., 2007.

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Jérôme, Dedecker, ed. Weak dependence: With examples and applications. Springer, 2007.

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Durlauf, Steven N. Path dependence in aggregate output. National Bureau of Economic Research, 1991.

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Rüschendorf, Ludger. Mathematical Risk Analysis: Dependence, Risk Bounds, Optimal Allocations and Portfolios. Springer Berlin Heidelberg, 2013.

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McGuire, Martin C. Coping with foreign dependence: The simple analytics of stockpiling versus protection. Institute of Southeast Asian Studies, 1990.

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Cold Regions Research and Engineering Laboratory (U.S.), ed. Dependence of segregation potential on the thermal and hydraulic conditions predicted by model M₁. US Army Corps of Engineers, Cold Regions Research & Engineering Laboratory, 1994.

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Scott, Louis O. A little bit of evidence on the intertemporal dependence in the volatility of stock prices. College of Commerce and Business Administration,University of Illinois at Urbana-Champaign, 1985.

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Book chapters on the topic "Mathematical dependence"

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Berck, Peter, and Knut Sydsæter. "Vectors. Linear dependence. Scalar products." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_17.

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Berck, Peter, and Knut Sydsæter. "Vectors. Linear dependence. Scalar products." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_17.

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Halimi, Brice. "Context-Dependence and Descent Theory." In Chapman Mathematical Notes. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-68934-5_18.

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Ellner, Stephen P., Dylan Z. Childs, and Mark Rees. "Density Dependence." In Lecture Notes on Mathematical Modelling in the Life Sciences. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28893-2_5.

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Brady, Bennett, and Nozer D. Singpurwalla. "Stochastically monotone dependence." In Institute of Mathematical Statistics Lecture Notes - Monograph Series. Institute of Mathematical Statistics, 1990. http://dx.doi.org/10.1214/lnms/1215457552.

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Neusel, Mara. "Integral dependence and the Krull relations." In The Student Mathematical Library. American Mathematical Society, 2006. http://dx.doi.org/10.1090/stml/036/14.

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Nabeshima, Katsusuke, and Shinichi Tajima. "Generalized Integral Dependence Relations." In Mathematical Aspects of Computer and Information Sciences. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43120-4_6.

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Hollander, Myles, Frank Proschan, and James Sconing. "Information, censoring, and dependence." In Institute of Mathematical Statistics Lecture Notes - Monograph Series. Institute of Mathematical Statistics, 1990. http://dx.doi.org/10.1214/lnms/1215457565.

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Scarsini, Marco. "An ordering of dependence." In Institute of Mathematical Statistics Lecture Notes - Monograph Series. Institute of Mathematical Statistics, 1990. http://dx.doi.org/10.1214/lnms/1215457576.

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Sarasola Sánchez-Serrano, José Luis, Ana Vallejo Andrada, and Alberto Sarasola Fernandez. "Sociability and Dependence." In Mathematical-Statistical Models and Qualitative Theories for Economic and Social Sciences. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54819-7_20.

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Conference papers on the topic "Mathematical dependence"

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Litvinov, Vladislav, Kristina Litvinova, Alexey Tarakanov, Anatoly Uyutov, and Ruslan Almeev. "Research and Mathematical Modeling of The Dependence of The Frequency of Transverse Vibrations of a Variable-Length String on The Amplitude." In 2024 8th International Conference on Information, Control, and Communication Technologies (ICCT). IEEE, 2024. https://doi.org/10.1109/icct62929.2024.10874951.

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Hakkarainen, T. J. "A Model for Prediction of Possibility of Localized Corrosion Attack of Stainless Steels." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96363.

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Abstract Empirical or semi-empirical relations were developed to express the dependence of the possibility ('probability) of localized corrosion attack of various stainless steels on environmental factors. Only chloride induced attack within the range 0…100°C (32…212°F) is considered. The environmental variables considered include temperature, pH, chloride content, sulfate content, presence of oxidizing agents, crevices and deposits, flow rate and possibility of concentration of solution by evaporation. Common mathematical operations are used to formulate the trends into equations. Examples of
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Boij, Susann. "Parameter Dependence of Flow Acoustic Interaction." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena. AIP, 2006. http://dx.doi.org/10.1063/1.2205793.

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Ruengsinsub, Pattira, and Vichian Laohakosol. "LINEAR DEPENDENCE OF TWO ARITHMETIC FUNCTIONS." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525208.

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Iaparov, B. I., and V. V. Ivchenko. "Mathematical modelling of the ryanodine receptor’s activation time dependence on magnesium." In Mathematical Biology and Bioinformatics. IMPB RAS - Branch of KIAM RAS, 2018. http://dx.doi.org/10.17537/icmbb18.69.

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Razak, Ruzanna Ab, and Noriszura Ismail. "Dependence values of Asia-Pacific stock markets." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882601.

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Boukhari, Fakhreddine. "Maximal inequalities with exponential decay under weak dependence conditions." In FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042194.

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Gabd, Darmesah, and Jonathan Tawn. "Inference for an extreme value model accounting for inter-site dependence." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980985.

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Cheong, Chin Wen, and Tan Pei Pei. "Rolling estimations of long range dependence volatility for high frequency S&P500 index." In THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932467.

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Monsonis, I. J., J. Pelegri-Sebastia, T. Sogorb, V. Llario, and V. D. Estruch. "A method for obtaining dependence mathematical models from graphics in chemical sensors." In 2014 IEEE Sensors. IEEE, 2014. http://dx.doi.org/10.1109/icsens.2014.6985377.

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Reports on the topic "Mathematical dependence"

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Hlushak, Oksana M., Svetlana O. Semenyaka, Volodymyr V. Proshkin, Stanislav V. Sapozhnykov, and Oksana S. Lytvyn. The usage of digital technologies in the university training of future bachelors (having been based on the data of mathematical subjects). [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3860.

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This article demonstrates that mathematics in the system of higher education has outgrown the status of the general education subject and should become an integral part of the professional training of future bachelors, including economists, on the basis of intersubject connection with special subjects. Such aspects as the importance of improving the scientific and methodological support of mathematical training of students by means of digital technologies are revealed. It is specified that in order to implement the task of qualified training of students learning econometrics and economic and m
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Rivera-Casillas, Peter, and Ian Dettwiller. Neural Ordinary Differential Equations for rotorcraft aerodynamics. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48420.

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High-fidelity computational simulations of aerodynamics and structural dynamics on rotorcraft are essential for helicopter design, testing, and evaluation. These simulations usually entail a high computational cost even with modern high-performance computing resources. Reduced order models can significantly reduce the computational cost of simulating rotor revolutions. However, reduced order models are less accurate than traditional numerical modeling approaches, making them unsuitable for research and design purposes. This study explores the use of a new modified Neural Ordinary Differential
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Siemanond, Kitipat, Patipat Promvitak, Noppanat Rueangul, Sira Nukulkit, and Supachai Kosol. Energy Conservation for Petrochemical Industries by Pinch Technology and Mathematical Programming. Chulalongkorn University, 2011. https://doi.org/10.58837/chula.res.2011.112.

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For petroleum and petrochemical industries, energy management is an important element to controlling total operating costs. Over the past decades, there appears to be an urgent need to retrofit the existing heat exchanger networks (HENs) of the plant to reduce the current utility consumption.A simple pinch design approach is proposed here to accomplish above-and-below pinch HEN design by stage-model mathematical programming using commercial software; GAMS.The energy and capital costs of a heat exchanger network are both dependent on the pinch temperature or minimum temperature approach (ΔTmin)
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Kuropiatnyk, D. I. Actuality of the problem of parametric identification of a mathematical model. [б. в.], 2018. http://dx.doi.org/10.31812/123456789/2885.

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The purpose of the article is to study the possibilities of increasing the efficiency of a mathematical model by identifying the parameters of an object. A key factor for parametrization can be called the consideration of properties of the values of the model at a specific time point, which allows a deeper analysis of data dependencies and correlation between them. However, such a technique does not always work, because in advance it is impossible to predict that the parameters can be substantially optimized. In addition, it is necessary to take into account the fact that minimization reduces
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Pasupuleti, Murali Krishna. Quantum Cognition: Modeling Decision-Making with Quantum Theory. National Education Services, 2025. https://doi.org/10.62311/nesx/rrvi225.

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Abstract Quantum cognition applies quantum probability theory and mathematical principles from quantum mechanics to model human decision-making, reasoning, and cognitive processes beyond the constraints of classical probability models. Traditional decision theories, such as expected utility theory and Bayesian inference, struggle to explain context-dependent reasoning, preference reversals, order effects, and cognitive biases observed in human behavior. By incorporating superposition, interference, and entanglement, quantum cognitive models offer a probabilistic framework that better accounts
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Nelson, Gena. Proportional Reasoning Interventions in Special Education Synthesis Coding Protocol. Boise State University, 2021. http://dx.doi.org/10.18122/sped136.boisestate.

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The purpose of document is to provide readers with the coding protocol that authors used to code nine group and single case design intervention studies focused on proportional reasoning interventions for students (grades 5-9) with learning disabilities (LD) or mathematics difficulty (MD). The studies yielded intervention effects ranging from g = −0.10 to 1.87 and from Tau-U = 0.88 to 1.00. We coded all of the studies for variables in the following categories: study information, intervention features, dependent measures, participant demographics, LD and MD criteria and definitions, instructiona
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Ferdaus, Md Meftahul, Mahdi Abdelguerfi, Elias Ioup, et al. KANICE : Kolmogorov-Arnold networks with interactive convolutional elements. Engineer Research and Development Center (U.S.), 2025. https://doi.org/10.21079/11681/49791.

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We introduce KANICE, a novel neural architecture that combines Convolutional Neural Networks (CNNs) with Kolmogorov-Arnold Network (KAN) principles. KANICE integrates Interactive Convolutional Blocks (ICBs) and KAN linear layers into a CNN framework. This leverages KANs’ universal approximation capabilities and ICBs’ adaptive feature learning. KANICE captures complex, non-linear data relationships while enabling dynamic, context-dependent feature extraction based on the Kolmogorov-Arnold representation theorem. We evaluated KANICE on four datasets: MNIST, Fashion-MNIST, EMNIST, and SVHN, compa
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8

Pasupuleti, Murali Krishna. Neural Computation and Learning Theory: Expressivity, Dynamics, and Biologically Inspired AI. National Education Services, 2025. https://doi.org/10.62311/nesx/rriv425.

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Abstract: Neural computation and learning theory provide the foundational principles for understanding how artificial and biological neural networks encode, process, and learn from data. This research explores expressivity, computational dynamics, and biologically inspired AI, focusing on theoretical expressivity limits, infinite-width neural networks, recurrent and spiking neural networks, attractor models, and synaptic plasticity. The study investigates mathematical models of function approximation, kernel methods, dynamical systems, and stability properties to assess the generalization capa
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9

Olsen and Willson. L51916 Pressure Based Parametric Emission Monitoring Systems (PEMS). Pipeline Research Council International, Inc. (PRCI), 2002. http://dx.doi.org/10.55274/r0010181.

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The natural gas industry operates over 8000 stationary large bore (bore greater than 14 in) natural gas engines for natural gas compression on pipelines and power generation. As emissions regulations become increasingly more stringent, the need for low cost methods for compliance demonstration arises. A PEMS model is one such approach. Research in this area has increased significantly during the last decade. PEMS models for this application utilize parameters commonly measured on industrial engines in the field to predict engine-out emissions. Monitoring emissions in this manner represents a s
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