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Relevant bibliographies by topics / Mathematical formula

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Academic literature on the topic 'Mathematical formula'

Author: Grafiati

Published: 3 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Mathematical formula"

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Hou, Yong. "Mathematical formula information retrieval system." Journal of Computational Methods in Sciences and Engineering 23, no. 6 (2023): 2949–73. http://dx.doi.org/10.3233/jcm-226961.

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Design and implementation of the system for retrieving information about mathematical formulas – MFIRS. The structure of the system is mainly divided into the modules: input normalization, mathematical formula unification, mathematical formula encoding, text information feature extraction, mathematical formula feature extraction, mathematical formula indexing, retrieval and ranking. A method for extracting mathematical formulas and keywords based on FastText word embedding technology is proposed. This method can be used not only to get the structural features of the formula, but also to facili

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Liu, Hongyuan, Fang Yang, Xue Wang, and Jianhui Si. "Mathematical Formula Image Screening Based on Feature Correlation Enhancement." Electronics 11, no. 5 (2022): 799. http://dx.doi.org/10.3390/electronics11050799.

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There are mathematical formula images or other images in scientific and technical documents or on web pages, and mathematical formula images are classified as either containing only mathematical formulas or formulas interspersed with other elements, such as text and coordinate diagrams. To screen and collect images containing mathematical formulas for others to study or for further research, a model for screening images of mathematical formulas based on feature correlation enhancement is proposed. First, the Feature Correlation Enhancement (FCE) module was designed to improve the correlation d

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Guan, Ming Jie, Xue Dong Tian, Fang Yang, and Song Qiang Yang. "A Mathematical Formula Retrieval Method Using Structure Sub-Tree." Advanced Materials Research 756-759 (September 2013): 2840–45. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2840.

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It is quite inadequate in providing formula retrieval function by traditional retrieval techniques used in full-text information retrieval system. The main reason is that there are many difficulties to extract the keywords of the mathematical formulas. In this paper, a detailed analysis of the structural characteristics of mathematical formulas and existing index mechanism of mathematical formula searching engine is fulfilled. Then a full-text index (named SLIndex) of mathematical formulas with B+ tree structure is designed and implemented which extracts the structured logic sub-tree feature a

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Schulz-Baldes, H., and J. Bellissard. "Anomalous Transport: A Mathematical Framework." Reviews in Mathematical Physics 10, no. 01 (1998): 1–46. http://dx.doi.org/10.1142/s0129055x98000021.

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We develop a mathematical framework allowing to study anomalous transport in homogeneous solids. The main tools characterizing the anomalous transport properties are spectral and diffusion exponents associated to the covariant Hamiltonians describing these media. The diffusion exponents characterize the spectral measures entering in Kubo's formula for the conductivity and hence lead to anomalies in Drude's formula. We give several formulas allowing to calculate these exponents and treat, as an example, Wegner's n-orbital model as well as the Anderson model in coherent potential approximation.

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Kovtun, A. S., and O. O. Demianenko. "The story of one formula." Mathematics in Modern Technical University 2020, no. 1 (2020): 33–45. http://dx.doi.org/10.20535/mmtu-2020.1-033.

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This article aims to represent the diversity of approaches applicable to a certain mathematical problem – Stirling’s approximation was chosen here to achieve the mentioned goal. The first section of the work gives a sight of how the formula appeared, from the derivation of an idea to a publication of the strict results. Further, we provide readers with six different proofs of the approximation. Two of them use methods from calculus and mathematical analysis such that properties of logarithmic function and definite integral as well as representing functions as power series. The other two apply

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Hong, Liu Rong. "A New Algorithm of Online Handwritten Mathematical Formula Structure Recognition." Applied Mechanics and Materials 48-49 (February 2011): 64–70. http://dx.doi.org/10.4028/www.scientific.net/amm.48-49.64.

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As a natural, fast mathematical formula input, online handwritten mathematical formula input have great prospects. The paper described the algorithm of recognizing the common online handwritten mathematical formula structure. Firstly, the forms were defined, the convention of formulas were expanded. A method of calculating weight for the minimum spanning tree(MST) was proposed according to the characteristics of hand-written formula. On the basis of them, MST algorithm was applied to formula structural analysis. Then two new algorithms were proposed to recognize the mix form and table structur

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Forfar, D. O., J. J. McCutcheon, and A. D. Wilkie. "On graduation by mathematical formula." Journal of the Institute of Actuaries 115, no. 1 (1988): 1–149. http://dx.doi.org/10.1017/s0020268100042633.

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In the course of work undertaken as members of the Executive Committee of the Continuous Mortality Investigation Bureau in the preparation of graduated tables of mortality for the experiences of 1979–82, we have had occasion to make use of and develop a number of statistical techniques with which actuaries may not be familiar, and which are not fully discussed in the current textbook by Benjamin & Pollard (1980), though some of them have been referred to in previous papers by the CMI Committee (1974, 1976). We therefore felt that it would be useful to the profession if we were to present t

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Forfar, D. O., J. J. McCutcheon, and A. D. Wilkie. "On Graduation By Mathematical Formula." Transactions of the Faculty of Actuaries 41 (1987): 97–269. http://dx.doi.org/10.1017/s0071368600009824.

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In the course of work undertaken as members of the Executive Committee of the Continuous Mortality Investigation Bureau in the preparation of graduated tables of mortality for the experiences of 1979–82, we have had occasion to make use of and develop a number of statistical techniques with which actuaries may not be familiar, and which are not fully discussed in the current textbook by Benjamin &amp; Pollard (1980), though some of them have been referred to in previous papers by the CMI Committee (1974, 1976). We therefore felt that it would be useful to the profession if we were to prese

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Nakayama, Yasutomo. "Mathematical formula editor for CAI." ACM SIGCHI Bulletin 20, SI (1989): 387–92. http://dx.doi.org/10.1145/67450.67523.

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SUZUKI, M. "MATHEMATICAL BASIS OF COMPUTATIONAL PHYSICS." International Journal of Modern Physics C 07, no. 03 (1996): 355–59. http://dx.doi.org/10.1142/s0129183196000296.

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The present paper explains some general basic formulas concerning quantum Monte Carlo simulations, symplectic integration and other numerical calculations. A generalization of the BCH formula is given with an application to the decomposition of exponential operators in the presence of small parameters.

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Dissertations / Theses on the topic "Mathematical formula"

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

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Freiman, Viktor, and Danis Michaud. "One mathematical formula in the science textbook: looking into innovative potential of interdisciplinary mathematics teaching." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79834.

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Our paper presents some preliminary observation from a collaborative exploratory study linking mathematics, science and reading within a technology enhanced problem-based learning scenario conducted at one French Canadian Elementary and Middle School. Presented in a form of dialogue between teacher and researcher, our findings give some meaningful insight in how an innovative mathematics teaching can be developed and implemented using a real-world problem solving. Instead of a traditional presentation of material about lighting up homes, participating mathematics, science and French teachers w

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Ouyang, Ling. "A symbol layout classification for mathematical formula using layout context /." Online version of thesis, 2009. http://hdl.handle.net/1850/10880.

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Toyozumi, Kenichi, Naoya Yamada, Takayuki Kitasaka, et al. "A study of symbol segmentation method for handwritten mathematical formula recognition using mathematical structure information." IEEE, 2004. http://hdl.handle.net/2237/6870.

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Hendricks, Deborah J. "The use of propositional structures and subgoals in solving multi-step college statistical word and formula problems." Morgantown, W. Va. : [West Virginia University Libraries], 1999. http://etd.wvu.edu/templates/showETD.cfm?recnum=531.

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Thesis (Ed. D.)--West Virginia University, 1999.<br>Title from document title page. Document formatted into pages; contains viii, 142 p. : ill. Vita. Includes abstract. Includes bibliographical references (p. 100-108).

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Lee, Chi-ming Simon, and 李志明. "A study of Hong Kong foreign exchange warrants pricing using black-scholes formula." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B3126542X.

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Baysal, Onur Alizde Rarail. "Lower-top and upper-bottom points for any formula in temporal logic/." [s.l.]: [s.n.], 2006. http://library.iyte.edu.tr/tezler/master/matematik/T000549.pdf.

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Böhm, Ulrike, Gesche Pospiech, Hermann Körndle, and Susanne Narciss. "Physicists use mathematics to describe physical principles an mathematicians use physical phenomena to illustrate mathematical formula - Do they really mean the same?" Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82341.

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Lindroth, Olof. "A random formula lower bound for ordered DLL extended with local symmetry recognition /." Uppsala, 2004. http://www.math.uu.se/research/pub/Lindroth1.pdf.

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Kissavos, Andreas. "Development and application of Muffin-Tin Orbital based Green’s function techniques to systems with magnetic and chemical disorder." Doctoral thesis, Linköpings universitet, Teoretisk Fysik, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-8231.

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Accurate electronic structure calculations are becoming more and more important because of the increasing need for information about systems which are hard to perform experiments on. Databases compiled from theoretical results are also being used more than ever for applications, and the reliability of the theoretical methods are of utmost importance. In this thesis, the present limits on theoretical alloy calculations are investigated and improvements on the methods are presented. A short introduction to electronic structure theory is included as well as a chapter on Density Functional Theory,

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Books on the topic "Mathematical formula"

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Savelʹev, Dmitriĭ Ivanovich. Formula zakona uskorenii︠a︡ proizvoditelʹnosti mashiny. Priokskoe knizhnoe izd-vo, 1990.

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Nahin, Paul J. Dr. Euler's fabulous formula: Cures many mathematical ills. Princeton University Press, 2006.

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Dineen, Seán. Probability theory in finance: A mathematical guide to the Black-Scholes formula. American Mathematical Society, 2013.

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Chetty, Raj. A general formula for the optimal level of social insurance. National Bureau of Economic Research, 2005.

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Chetty, Raj. A general formula for the optimal level of social insurance. National Bureau of Economic Research, 2005.

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Wilde, Parke. Understanding the Food Stamp benefit formula: A tool for measuring the component effects. USDA, ERS, 2001.

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Waddell, Dale R. Estimating load weights with Huber's cubic volume formula: A field trial. U.S. Dept. of Agriculture, Forest Service, Pacific Northwest Research Station, 1989.

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Group, Engineering Mathematics. Mathematics Formulae for Engineers and Scientists. Penerbit Universiti Sains Malaysia, 2018.

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Fraser, D. A. S. A simple general formula for tail probabilities for frequentist and Bayesian inference: Y D.A.S. Fraser and N. Reid and J. Wu. University of Toronto, 1996.

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Jr, Bradley A. A. Evaluation of design flood frequency methods for Iowa streams. IIHR-Hydroscience & Engineering, College of Engineering, University of Iowa, 2009.

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Book chapters on the topic "Mathematical formula"

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Walls, Fiona. "Form and Formula." In Mathematical Subjects. Springer US, 2009. http://dx.doi.org/10.1007/978-1-4419-0597-0_7.

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Moll, Victor. "Wallis’s formula." In The Student Mathematical Library. American Mathematical Society, 2012. http://dx.doi.org/10.1090/stml/065/09.

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Spencer, Joel. "Stirling’s formula." In The Student Mathematical Library. American Mathematical Society, 2014. http://dx.doi.org/10.1090/stml/071/02.

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Sydsæter, Knut, Arne Strøm, and Peter Berck. "Series. Taylor’s formula." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03995-3_8.

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Sydsæter, Knut, Arne Strøm, and Peter Berck. "Series. Taylor’s formula." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-28518-2_8.

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Karasev, M. V. "Simple Quantization Formula." In Symplectic Geometry and Mathematical Physics. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4757-2140-9_11.

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Ben-Ari, Mordechai. "Solving Quadratic Equations." In Mathematical Surprises. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13566-8_7.

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AbstractPoh-Shen Loh proposed a method for solving quadratic equations that is based on a relation between the coefficients of the quadratic polynomial and its roots. Section 7.1 reviews the traditional methods for solving quadratic equations. Section 7.2 tries to convince the reader that Loh’s method makes sense and then explains howto compute the roots. In Sect. 7.3 the computation is carried out for two quadratic polynomials and a similar computation for a quartic polynomial. Section 7.4 derives the traditional formula for the roots from Loh’s formulas.

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Cox, J. C., S. A. Ross, and M. Rubinstein. "The Black—Scholes Formula." In Mathematical Finance and Probability. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8041-1_14.

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Edwards, Harold. "Brahmagupta’s formula and hypernumbers." In The Student Mathematical Library. American Mathematical Society, 2008. http://dx.doi.org/10.1090/stml/045/16.

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Matoušek, Jiří. "Fibonacci numbers, the formula." In The Student Mathematical Library. American Mathematical Society, 2010. http://dx.doi.org/10.1090/stml/053/02.

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Conference papers on the topic "Mathematical formula"

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Brooke, J. Maxey. "T-3A-17: Indices." In CORROSION 1993. NACE International, 1993. https://doi.org/10.5006/c1993-93282.

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Nakayama, Yasutomo. "Mathematical formula editor for CAI." In the SIGCHI conference. ACM Press, 1989. http://dx.doi.org/10.1145/67449.67523.

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Guo, Zhijun, and Yao Liu. "Research on Mathematical Formula Knowledge Base for Formula Recognition." In 2018 IEEE/WIC/ACM International Conference on Web Intelligence (WI). IEEE, 2018. http://dx.doi.org/10.1109/wi.2018.00-27.

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Guo, Wei, Wei Su, Lian Li, Ning An, and Linwei Cui. "MQL: A Mathematical Formula Query Language for Mathematical Search." In 2011 IEEE 14th International Conference on Computational Science and Engineering (CSE). IEEE, 2011. http://dx.doi.org/10.1109/cse.2011.52.

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Lin, Xiaoyan, Liangcai Gao, Zhi Tang, Xiaofan Lin, and Xuan Hu. "Mathematical Formula Identification in PDF Documents." In 2011 International Conference on Document Analysis and Recognition (ICDAR). IEEE, 2011. http://dx.doi.org/10.1109/icdar.2011.285.

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Lin, Xiaoyan, Liangcai Gao, Zhi Tang, Xiaofan Lin, and Xuan Hu. "Performance Evaluation of Mathematical Formula Identification." In 2012 10th IAPR International Workshop on Document Analysis Systems (DAS). IEEE, 2012. http://dx.doi.org/10.1109/das.2012.68.

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Lavirotte, Stephane, and Loic Pottier. "Mathematical formula recognition using graph grammar." In Photonics West '98 Electronic Imaging, edited by Daniel P. Lopresti and Jiangying Zhou. SPIE, 1998. http://dx.doi.org/10.1117/12.304644.

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Cheng, Ming, Wei Su, Yuexia Xu, Zhiyi Qu, and Xuan Wang. "Linear Input Method of Mathematical Formula." In 2014 Tenth International Conference on Computational Intelligence and Security (CIS). IEEE, 2014. http://dx.doi.org/10.1109/cis.2014.173.

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Ali, Ibtissem Hadj, and Mohammed Ali Mahjoub. "Database of Handwritten Arabic Mathematical Formula Images." In 2016 13th International Conference on Computer Graphics, Imaging and Visualization (CGiV). IEEE, 2016. http://dx.doi.org/10.1109/cgiv.2016.36.

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Huang, Zhenya, Qi Liu, Weibo Gao, et al. "Neural Mathematical Solver with Enhanced Formula Structure." In SIGIR '20: The 43rd International ACM SIGIR conference on research and development in Information Retrieval. ACM, 2020. http://dx.doi.org/10.1145/3397271.3401227.

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Reports on the topic "Mathematical formula"

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Alarcon Lopez, Luis Guillermo. The Impact of Obligations in Spectrum Value. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0007977.

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Radiofrequency spectrum is an essential asset for mobile network operators. Governments set its value to organize competitive frequency auctions and define recurrent payments, such as taxes and right of use. This publication sustains that governments should value radio frequency spectrum as a function of the intended frequency use policy and corresponding obligations. A mathematical formula is proposed to articulate, quantitatively, the relationship between spectrum value and regulatory obligations, including promoting new market entrants, conditioning of wholesale obligations, definition of c

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Näslund-Hadley, Emma. IDB Briefly Noted: No. 9 : June, 2011: Less Talk, More Play: Bolstering Math Learning in Argentina. Inter-American Development Bank, 2011. http://dx.doi.org/10.18235/0008215.

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Argentina and the Inter-American Development Bank (IDB) joined forces to test a new math education model called Mathematics for All (MAT). After just one academic year, learning increased in schools using the model, with particularly dramatic improvements among underperforming students. This brief describes how MAT improved learning by focusing on the development of mathematical thinking rather than on the memorization of formulas.

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Brackin, Stephen H., and Ian Sutherland. Formal Verification of Mathematical Software. Volume 2. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada223633.

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Baitiche, Oussama. Distributed Referential Communication Framework: Formal Mathematical Representation. ResearchHub Technologies, Inc., 2025. https://doi.org/10.55277/researchhub.y3aa7knp.1.

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Basta, Oussama. # Distributed Referential Communication Framework: Formal Mathematical Representation. ResearchHub Technologies, Inc., 2025. https://doi.org/10.55277/researchhub.3i0gu2ml.1.

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Equihua, M., and O. Perez-Maqueo. Mathematical Modeling and Conservation. American Museum of Natural History, 2010. http://dx.doi.org/10.5531/cbc.ncep.0154.

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Formal models are indispensable tools in natural resource management and in conservation biology. Explicit modeling can be a helpful tool for studying these systems, communicating across disciplines, and integrating varying viewpoints of numerous stakeholders. This module demonstrates how to explicitly construct models as alternative representations to help interpret and understand nature. Through a synthesis and two exercises, it describes the general context of scientific modeling (i.e., use and types of models), and allows students to practice building a model by evaluating the relationship

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Perdigão, Rui A. P. New Horizons of Predictability in Complex Dynamical Systems: From Fundamental Physics to Climate and Society. Meteoceanics, 2021. http://dx.doi.org/10.46337/211021.

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Discerning the dynamics of complex systems in a mathematically rigorous and physically consistent manner is as fascinating as intimidating of a challenge, stirring deeply and intrinsically with the most fundamental Physics, while at the same time percolating through the deepest meanders of quotidian life. The socio-natural coevolution in climate dynamics is an example of that, exhibiting a striking articulation between governing principles and free will, in a stochastic-dynamic resonance that goes way beyond a reductionist dichotomy between cosmos and chaos. Subjacent to the conceptual and ope

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Koran, J. J. Jr. Science teachers and docents as mentors to science and mathematics undergraduates in formal and information settings. Final report. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/674650.

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Woodham, Dominique. Illustrated Extension apiculture education STEAM (science, technology, engineering, art, mathematics) book to support educators teaching youth in non-formal learning settings. Iowa State University, 2020. http://dx.doi.org/10.31274/cc-20240624-864.

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Kalinina, Liudmyla, and Valentyn Rogoza. Results of an online survey of educational institution leaders and teaching staff on examining the content of ukrainian textbooks in natural sciences and mathematics in the context of PISA. The Institute of Pedagogy of the National Academy of Pedagogical Sciences of Ukraine, 2021. https://doi.org/10.32405/online-survey-2021-52.

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The analytical report reveals the current state of practice and prospects for adapting the content of mathematics and natural science education in the context of aligning it with PISA goals. It is based on the results of a survey of teaching staff, which aimed to analyze the content and structure of contemporary textbooks for their correlation with PISA tasks and the achievement of PISA objectives, as well as textbook usage, competence formation, and the evaluation of educational materials’ compliance with international standards. The survey findings enabled the authors to identify the main ch

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