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Journal articles on the topic 'MATH_LO] Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 June 2024

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1

Karagiannakis, Giannis, and Marie-Pascale Noël. "Mathematical Profile Test: A Preliminary Evaluation of an Online Assessment for Mathematics Skills of Children in Grades 1–6." Behavioral Sciences 10, no. 8 (2020): 126. http://dx.doi.org/10.3390/bs10080126.

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The domain of numerical cognition still lacks an assessment tool that is theoretically driven and that covers a wide range of key numerical processes with the aim of identifying the learning profiles of children with difficulties in mathematics (MD) or dyscalculia. This paper is the first presentation of an online collectively administered tool developed to meet these goals. The Mathematical Profile Test (MathPro Test) includes 18 subtests that assess numerical skills related to the core number domain or to the visual-spatial, memory or reasoning domains. The specific aim of this paper is to p

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2

Muriel, Francisco J., and Carmen Galet. "Editing ePub3 for Blended Learning in Mathematics." Proceedings 2, no. 21 (2018): 1362. http://dx.doi.org/10.3390/proceedings2211362.

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The main goal of this work is to present the method designed and put into practice by the Department of Mathematics at I.E.S Norba Caesarina for creating digital books (e-books) in EPUB 3 format, including videos and MathML. The natural way of generating the XHTML code for creating the EPUB 3 is to use LaTex for editing the final text, transforming it into XHTML. We also show how can reproduce in EPUB 3, external videos stored in YouTube; how generate SVG images from GeoGebra and implement questionnaires in EPUB 3 without JavaScript knowledge, preserving the accessibility associated with MathM

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3

Caprotti, O., and D. Carlisle. "OpenMath and MathML: semantic markup for mathematics." XRDS: Crossroads, The ACM Magazine for Students 6, no. 2 (1999): 11–14. http://dx.doi.org/10.1145/333104.333110.

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Wright, Francis J. "Interactive mathematics via the Web using MathML." ACM SIGSAM Bulletin 34, no. 2 (2000): 49–57. http://dx.doi.org/10.1145/362001.362022.

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Wang, Xue, Fang Yang, Hongyuan Liu, and Qingxuan Shi. "Error correction of semantic mathematical expressions based on bayesian algorithm." Mathematical Biosciences and Engineering 19, no. 6 (2022): 5428–45. http://dx.doi.org/10.3934/mbe.2022255.

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<abstract> <p>The semantic information of mathematical expressions plays an important role in information retrieval and similarity calculation. However, a large number of presentational expressions in the presentation MathML format contained in electronic scientific documents do not reflect semantic information. It is a shortcut to extract semantic information using the rule mapping method to convert presentational expressions in presentation MathML format into semantic expressions in the content MathML format. However, the conversion result is prone to semantic errors because the

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Gang, Chi-Won, Seong-Hak Jeon, and Hoe-Gyeong Jeong. "Mathematics Equation Editing and Presentation System based on MathML." KIPS Transactions:PartD 9D, no. 3 (2002): 487–94. http://dx.doi.org/10.3745/kipstd.2002.9d.3.487.

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Καραγιαννάκης, Ιωάννης, Πέτρος Ρούσσος та Φωτεινή Πολυχρόνη. "Mathematical Profile Test: προσαρμογή και στάθμιση στην Ελληνική Γλώσσα". Psychology: the Journal of the Hellenic Psychological Society 26, № 3 (2022): 252–72. http://dx.doi.org/10.12681/psy_hps.29151.

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Η παρούσα εργασία παρουσιάζει την προσαρμογή και στάθμιση στην Ελληνική Γλώσσα του Mathematical Profile Test (MathPro Test – Karagiannakis & Nöel, 2020), ενός θεωρητικά τεκμηριωμένου εργαλείου αξιολόγησης ενός διευρυμένου φάσματος σημαντικών μαθηματικών δεξιοτήτων. Πρόκειται για ένα αυτόνομο διαδικτυακό εργαλείο, το οποίο μπορεί να χορηγηθεί ατομικά ή ομαδικά. Το MathPro Test περιλαμβάνει 18 υποκλίμακες οι οποίες κατηγοριοποιούνται σε μαθηματικές δεξιότητες που εδράζονται είτε σε ειδικά αριθμητικά γνωστικά συστήματα (επίγνωση αριθμού) είτε σε γνωστικές δεξιότητες γενικού τομέα (μνήμη, οπτι

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KIM, Shinil, Seon YANG, and Youngjoong KO. "Classifying Mathematical Expressions Written in MathML." IEICE Transactions on Information and Systems E95.D, no. 10 (2012): 2560–63. http://dx.doi.org/10.1587/transinf.e95.d.2560.

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Fu, De Qiang, Wen Yin Zhang, and Seong Tae Jhang. "A Method for Transforming the Online Handwritten Mathematical Formula into MathML." Advanced Materials Research 989-994 (July 2014): 2156–60. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.2156.

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This paper employs the Minimum Arborescence model to handle the spatial structure analysis of a mathematical formula, and transforms the directed graph to a trigeminal tree. Also, we utilizes the preorder traversal algorithm of the Ternary-Tree to generate MathML, and display the MathML with Web browser. At last, the experimental results illustrates the recognition rates of online handwritten mathematical formula in various cases.

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Bas, S. V., and K. I. Slovak. "Ways of processing requests and characteristics of mobile access to Wolfram|Alpha." CTE Workshop Proceedings 2 (March 20, 2014): 309–16. http://dx.doi.org/10.55056/cte.226.

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This paper examines the ways of different types inquiries to Wolfram|Alpha, in particular, the possibility of natural language queries. The characteristic of mobile access to Wolfram|Alpha are highlighted. The data representation format was considered to visual representations, images, HTML, Mathematica Cell, text view, plain text, MathML, Mathematica input, Mathematica output, audio presentation, special types of Wolfram|Alpha output.The paper aim is the analysis and synthesis of capabilities for requests to Wolfram|Alpha in many ways and opportunities to provide characteristics of mobile acc

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J.G. White, Jason. "The Accessibility of Mathematical Notation on the Web and Beyond." Journal of Science Education for Students with Disabilities 23, no. 1 (2020): 1–14. http://dx.doi.org/10.14448/jsesd.12.0013.

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This paper serves two purposes. First, it offers an overview of the role of the Mathematical Markup Language (MathML) in representing mathematical notation on the Web, and its significance for accessibility. To orient the discussion, hypotheses are advanced regarding users’ needs in connection with the accessibility of mathematical notation. Second, current developments in the evolution of MathML are reviewed, noting their consequences for accessibility, and commenting on prospects for future improvement in the concrete experiences of users of assistive technologies. Recommendations are advanc

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Subekhi, Andri Imam, and Heni Pujiastuti. "ANALISIS KEMAMPUAN MATEMATIKA DASAR DITINJAU DARI SELF-REGULATED LEARNING: STUDI KASUS PADA MAHASISWA SI FARMASI UNIVERSITAS MATHLA�UL ANWAR PANDEGLANG BANTEN." Jurnal Edukasi dan Sains Matematika (JES-MAT) 6, no. 1 (2020): 55. http://dx.doi.org/10.25134/jes-mat.v6i1.2615.

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The aims of this study to analyze students basic mathematical ability in terms of students self-regulated learning (high, medium, low). This research was a descriptive qualitative research. The subjects of this study were all students of the Department of Pharmacy totaling 30 people consisting of 12 men and 18 women. To obtain data in this study used research instruments consisting of two types, namely tests and non-tests. The test instrument was a basic mathematical ability test consisting of 10 problem questions and a non-test instrument in the form of an independent learning questionnaire.

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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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Farmer, Lesley. "MathDL: The Mathematical Sciences Digital Library2012129MathDL: The Mathematical Sciences Digital Library. URL: http://mathdl.maa.org/mathDL/20/: Mathematical Association of America Last visited November 2011. Gratis." Reference Reviews 26, no. 3 (2012): 39–40. http://dx.doi.org/10.1108/09504121211211424.

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Nguyen, Duc Duy, Kaifu Gao, Menglun Wang, and Guo-Wei Wei. "MathDL: mathematical deep learning for D3R Grand Challenge 4." Journal of Computer-Aided Molecular Design 34, no. 2 (2019): 131–47. http://dx.doi.org/10.1007/s10822-019-00237-5.

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Asebriy, Zahra, Said Raghay, and Omar Bencharef. "An Assistive Technology for Braille Users to Support Mathematical Learning: A Semantic Retrieval System." Symmetry 10, no. 11 (2018): 547. http://dx.doi.org/10.3390/sym10110547.

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Mathematical learning from digital libraries and the web is a challenging problem for people with visual impairments and blindness. In this paper, we focus on developing the mathematical learning skills of braille users with a new assistive technology developed to retrieve semantically mathematical information from the web. This kind of research is still in the study phase. This paper presents an overview of assistive technologies for braille users followed by a description of the proposed system, which works in four phases. In the first phase, we translate a query math formula in braille into

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Karaaslan, Faruk, and Serkan Karataş. "A new approach to bipolar soft sets and its applications." Discrete Mathematics, Algorithms and Applications 07, no. 04 (2015): 1550054. http://dx.doi.org/10.1142/s1793830915500548.

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Molodtsov [Soft set theory-first results, Comput. Math. App. 37 (1999) 19–31] proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Shabir and Naz [On bipolar soft sets, preprint (2013), arXiv:1303.1344v1 [math.LO]] defined notion of bipolar soft set in 2013. In this paper, we redefine concept of bipolar soft set and bipolar soft set operations as more functional than Shabir and Naz’s definition and operations. Also we study on their basic properties and we present a decision making method with application.

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Cuellar, Autumn, Warren Hedley, Melanie Nelson, et al. "The CellML 1.1 Specification." Journal of Integrative Bioinformatics 12, no. 2 (2015): 4–85. http://dx.doi.org/10.1515/jib-2015-259.

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Summary This document specifies CellML 1.1, an XML-based language for describing and exchanging models of cellular and subcellular processes. MathML embedded in CellML documents is used to define the underlying mathematics of models. Models consist of a network of re- usable components, each with variables and equations manipulating those variables. Models may import other models to create systems of increasing complexity. Metadata may be embedded in CellML documents using RDF.

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Frankel, Lois, Beth Brownstein, and Neil Soiffer. "Expanding Audio Access to Mathematics Expressions by Students With Visual Impairments via MathML." ETS Research Report Series 2017, no. 1 (2017): 1–53. http://dx.doi.org/10.1002/ets2.12132.

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Hwang, Jungsoo, and Soon-Bum Lim. "A Study on Phased Reading Techniques of Mathematical Expression in the Digital Talking Book." Journal of Korea Multimedia Society 17, no. 8 (2014): 1025–32. http://dx.doi.org/10.9717/kmms.2014.17.8.1025.

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NGHIEM, Minh-Quoc, Giovanni YOKO KRISTIANTO, and Akiko AIZAWA. "Using MathML Parallel Markup Corpora for Semantic Enrichment of Mathematical Expressions." IEICE Transactions on Information and Systems E96.D, no. 8 (2013): 1707–15. http://dx.doi.org/10.1587/transinf.e96.d.1707.

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22

Nazemi, Azadeh, Iain Murray, and David A. McMeekin. "Mathematical Information Retrieval (MIR) from Scanned PDF Documents and MathML Conversion." IPSJ Transactions on Computer Vision and Applications 6 (2014): 132–42. http://dx.doi.org/10.2197/ipsjtcva.6.132.

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Zanibbi, Richard, Behrooz Mansouri, Anurag Agarwal, and Douglas W. Oard. "ARQMath." ACM SIGIR Forum 54, no. 2 (2020): 1–9. http://dx.doi.org/10.1145/3483382.3483388.

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The Answer Retrieval for Questions on Math (ARQMath) evaluation was run for the first time at CLEF 2020. ARQMath is the first Community Question Answering (CQA) shared task for math, retrieving existing answers from Math Stack Exchange (MSE) that can help to answer previously unseen math questions. ARQMath also introduces a new protocol for math formula search, where formulas are evaluated in context using a query formula's associated question post, and posts associated with each retrieved formula. Over 70 topics were annotated for each task by eight undergraduate students supervised by a prof

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Бас, Світлана Віталіївна, та Катерина Іванівна Словак. "Способи опрацювання запитів та характеристика мобільного доступу до Wolfram|Alpha". New computer technology 12 (25 грудня 2014): 309–16. http://dx.doi.org/10.55056/nocote.v12i0.726.

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У статті проаналізовано способи опрацювання запитів різних видів до Wolfram|Alpha, зокрема, можливості запитів природною мовою. Надано характеристику мобільному доступу до Wolfram|Alpha, розглянуто формати подання даних: візуальні подання, зображення, HTML, Mathematica Cell, текстові подання, простий текст, MathML, введення Mathematica, виведення Mathematica, audio подання, спеціальні типи виводу Wolfram|Alpha. Метою статті є аналіз та узагальнення можливостей подання запитів до Wolfram|Alpha різними способами та надання характеристики можливостей мобільного доступу до Wolfram|Alpha.&#x0

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Abu Doush, Iyad, and Sondos Al-Bdarneh. "Automatic Semantic Generation and Arabic Translation of Mathematical Expressions on the Web." International Journal of Web-Based Learning and Teaching Technologies 8, no. 1 (2013): 1–16. http://dx.doi.org/10.4018/jwltt.2013010101.

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Automatic processing of mathematical information on the web imposes some difficulties. This paper presents a novel technique for automatic generation of mathematical equations semantic and Arabic translation on the web. The proposed system facilitates unambiguous representation of mathematical equations by correlating equations to their known names. The ability to extract the equation meaning from its structure is vital when searching for mathematical equations. The general structure of the equation is recognized to identify the equation meaning. On the other hand, people who cannot understand

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Zelenov, G. I. "On Distributions of Trigonometric Polynomials in Gaussian Random Variables." Bulletin of Irkutsk State University. Series Mathematics 37 (2021): 77–92. http://dx.doi.org/10.26516/1997-7670.2021.37.77.

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We prove new results about the inclusion of distributions of trigonometric polynomials in Gaussian random variables to Nikolskii–Besov classes. In addition, we estimate the total variance distances between distributions of trigonometric polynomials via the <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>L</mi><mi>q</mi></msup></math>-distances between the polynomials themselves.

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Kumar Perepu, Pavan. "OpenMP Implementation of Parallel Longest Common Subsequence Algorithm for Mathematical Expression Retrieval." Parallel Processing Letters 31, no. 02 (2021): 2150007. http://dx.doi.org/10.1142/s0129626421500079.

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Given a mathematical expression in LaTeX or MathML format, retrieval algorithm extracts similar expressions from a database. In our previous work, we have used Longest Common Subsequence (LCS) algorithm to match two expressions of lengths, [Formula: see text] and [Formula: see text], which takes [Formula: see text] time complexity. If there are [Formula: see text] database expressions, total complexity is [Formula: see text], and an increase in [Formula: see text] also increases this complexity. In the present work, we propose to use parallel LCS algorithm in our retrieval process. Parallel LC

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KANIGOWSKI, ADAM, and JOANNA KUŁAGA-PRZYMUS. "Ratner’s property and mild mixing for smooth flows on surfaces." Ergodic Theory and Dynamical Systems 36, no. 8 (2015): 2512–37. http://dx.doi.org/10.1017/etds.2015.35.

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Let${\mathcal{T}}=(T_{t}^{f})_{t\in \mathbb{R}}$be a special flow built over an IET$T:\mathbb{T}\rightarrow \mathbb{T}$of bounded type, under a roof function$f$with symmetric logarithmic singularities at a subset of discontinuities of$T$. We show that${\mathcal{T}}$satisfies the so-called switchable Ratner’s property which was introduced in Fayad and Kanigowski [On multiple mixing for a class of conservative surface flows.Invent. Math.to appear]. A consequence of this fact is that such flows are mildly mixing (before, they were only known to be weakly mixing [Ulcigrai. Weak mixing for logarith

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Вовк, Анатолій Іванович, та Анатолій Володимирович Гірник. "Засоби дистанційного навчання математичних дисциплін в інтернеті". New computer technology 4 (1 листопада 2013): 09–10. http://dx.doi.org/10.55056/nocote.v4i1.37.

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Проблема інтерактивного навчання математичним дисциплінам за допомогою Інтернет на даний момент надзвичайно актуальна. Звичайно, використання таких відомих пакетів як MathLab, Maple, Mathematica можливе і в Інтернеті, але мета цих пакетів дещо інша – розв’язання конкретних задач математичного змісту.В даній доповіді мова йде про використання засобів спілкування суб’єктів навчального процесу з математичних дисциплін в системі дистанційного навчання. В НДІАСБ уже більше п’яти років ведуться роботи з розробки мови спілкування математиків в Інтернеті [1–3]. Розроблено редактор математичних текстів

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Xiao, Yabin, Bin Zhou, Dan He, and Jingzhong Liu. "Auxiliary Teaching System of Higher Mathematics Based on Random Matrix Model." Mathematical Problems in Engineering 2022 (August 23, 2022): 1–10. http://dx.doi.org/10.1155/2022/7983989.

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With the development of computer technology, computers have become a part of people’s lives and the Internet has connected the world’s networks as a whole. Computer technology is changing people’s study, life, and work. People’s traditional education mode, thinking, content, method, and talent training program have a significant impact. The development from traditional to computer technology-based teaching methods has brought new developments and leaps in educational technology. This paper analyzes the research background, significance, and research status of the advanced mathematics auxiliary

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Fatima, Nisar, Akhlaq Ahmad Bhatti, Akbar Ali, and Wei Gao. "Zagreb Connection Indices of Two Dendrimer Nanostars." Acta Chemica Iasi 27, no. 1 (2019): 1–14. http://dx.doi.org/10.2478/achi-2019-0001.

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Abstract It is well known fact that several physicochemical properties of chemical compounds are closely related to their molecular structure. Mathematical chemistry provides a method to predict the aforementioned properties of compounds using topological indices. The Zagreb indices are among the most studied topological indices. Recently, three modified versions of the Zagreb indices were proposed independently in [Ali, A.; Trinajstić, N. A novel/old modification of the first Zagreb index, arXiv:1705.10430 [math.CO] 2017; Mol. Inform. 2018, 37, 1800008] and [Naji, A. M.; Soner, N. D.; Gutman,

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Chalupová, Naděžda. "A concept of customer–provider relation monitoring system solution." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 56, no. 3 (2008): 79–84. http://dx.doi.org/10.11118/actaun200856030079.

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The contribution deals with design of customer–provider relationship monitoring system solution with regard to needs of business managers and analytics and to possibilities of contemporaneous information and communication technologies.The attention is followed to targeted modelling, what brings possibilities of acquisition of bigger overview about things taking place in the relation. In consequence it describes the functionality of analytical systems producing these very strategically valuable models – to so-called business intelligence tools. Onward it deals with modern technologies conductiv

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Lyapin, A. P., and T. Tom. "Sections of the Generating Series of a Solution to a Difference Equation in a Simplicial Cone." Bulletin of Irkutsk State University. Series Mathematics 42 (2022): 75–89. http://dx.doi.org/10.26516/1997-7670.2022.42.75.

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We consider a multidimensional difference equation in a simplicial lattice cone with coefficients from a field of characteristic zero and sections of a generating series of a solution to the Cauchy problem for such equations. We use properties of the shift and projection operators on the integer lattice <math xmlns='http://www.w3.org/1998/Math/MathML'><msup><mi>Z</mi><mi>n</mi></msup></math> to find a recurrence relation (difference equation with polynomial coefficients) for the section of the generating series. This formula allows us to find a g

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Lord, Nick. "Index to mathematical problems 1975–1979, S. Rabinowitz & M. Bowron (eds.). Pp. 528. $69·95. 1999. ISBN 0 9626401 2 3 (MathPro Press)." Mathematical Gazette 90, no. 518 (2006): 383. http://dx.doi.org/10.1017/s0025557200180155.

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Senashov, V. I. "On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups." Bulletin of Irkutsk State University. Series Mathematics 37 (2021): 118–32. http://dx.doi.org/10.26516/1997-7670.2021.37.118.

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Layer-finite groups first appeared in the work by S. N. Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups. The class of almost layer-finite groups is wider than the class of layer-finite groups; it includes all Chernikov groups, while it is easy to give examples of Chernikov groups that are not layer-finite. The author develops the direction of characterizing well-known and well-studied classes of groups in other classes of groups with some additional (rather weak) finiteness conditions. A Shunkov group is a group 𝐺 in which for any of its fini

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Panteleev, V. I., and E. S. Taglasov. "On the Lattice of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><msub><mi>S</mi><mi>I</mi></msub></math>-closed Classes of Multifunctions on Two-elements Set." Bulletin of Irkutsk State University. Series Mathematics 38 (2021): 96–111. http://dx.doi.org/10.26516/1997-7670.2021.38.96.

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The paper considers multifunctions on a two-element set with superposition and the equality predicate branching operator. The superposition operator is based on the intersection of sets. The main purpose of the work is to describe all closed classes with respect to the considered operators. The equality predicate branching operator allows the task to be reduced to a description of all closed classes generated by 2-variable multifunctions. Using this, it is shown that the lattice of classes closed with respect to the considered operators contains 237 elements. A generating set is specified for

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"MathPro online: online reference to mathematical problems." Choice Reviews Online 36, no. 12 (1999): 36Sup—331–36Sup—331. http://dx.doi.org/10.5860/choice.36sup-331.

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"MathPro online: online reference to mathematical problems." Choice Reviews Online 37, no. 12 (2000): 37Sup—378–37Sup—378. http://dx.doi.org/10.5860/choice.37sup-378.

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Clerx, Michael, Michael T. Cooling, Jonathan Cooper, et al. "CellML 2.0." Journal of Integrative Bioinformatics 17, no. 2-3 (2020). http://dx.doi.org/10.1515/jib-2020-0021.

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AbstractWe present here CellML 2.0, an XML-based language for describing and exchanging mathematical models of physiological systems. MathML embedded in CellML documents is used to define the underlying mathematics of models. Models consist of a network of reusable components, each with variables and equations giving relationships between those variables. Models may import other models to create systems of increasing complexity. CellML 2.0 is defined by the normative specification presented here, prescribing the CellML syntax and the rules by which it should be used. The normative specificatio

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S, Suendri, and Nanda Novita. "IMPLEMENTASI PLUGIN MATHJAX UNTUK MENAMPILKAN EQUATION INTERAKTIF PADA MEDIA PEMBELAJARAN MATEMATIKA BERBASIS WEB MENGGUNAKAN CMS WORDPRESS." AXIOM : Jurnal Pendidikan dan Matematika 7, no. 1 (2018). http://dx.doi.org/10.30821/axiom.v7i1.1763.

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The development of modern Information Technology has greatly changed the paradigm of the delivery of learning materials to learners, ranging from changes in methods that make teachers no longer as the only source of information to the use of learning media using the internet. One of the Content Management System that has been available for free that is easy to use in the medium of learning via the internet is WordPress. While the plugin used to display Math notation is Mathjax. MathJax is a plugin created by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mat

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Clerx, Michael, Michael T. Cooling, Jonathan Cooper, et al. "CellML 2.0.1." Journal of Integrative Bioinformatics, March 17, 2023. http://dx.doi.org/10.1515/jib-2023-0003.

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Abstract We present here CellML 2.0.1, an XML-based language for describing and exchanging mathematical models of physiological systems. MathML embedded in CellML documents is used to define the underlying mathematics of models. Models consist of a network of reusable components, each with variables and equations giving relationships between those variables. Models may import other models to create systems of increasing complexity. CellML 2.0.1 is defined by the normative specification presented here, prescribing the CellML syntax and the rules by which it should be used. The normative specifi

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Borodin, Alexei. "Longest Increasing Subsequences of Random Colored Permutations." Electronic Journal of Combinatorics 6, no. 1 (1999). http://dx.doi.org/10.37236/1445.

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We compute the limit distribution for the (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power of that for usual random permutations computed recently by Baik, Deift, and Johansson (math.CO/9810105). In the two–colored case our method provides a different proof of a similar result by Tracy and Widom about the longest increasing subsequences of signed permutations (math.CO/9811154). Our main idea is to reduce the 'colored' problem to the case of usual random permutations using certain combinatorial results

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Aguiar, Marcelo, and Samuel K. Hsiao. "Canonical Characters on Quasi-Symmetric Functions and Bivariate Catalan Numbers." Electronic Journal of Combinatorics 11, no. 2 (2005). http://dx.doi.org/10.37236/1872.

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Every character on a graded connected Hopf algebra decomposes uniquely as a product of an even character and an odd character (Aguiar, Bergeron, and Sottile, math.CO/0310016). We obtain explicit formulas for the even and odd parts of the universal character on the Hopf algebra of quasi-symmetric functions. They can be described in terms of Legendre's beta function evaluated at half-integers, or in terms of bivariate Catalan numbers: $$C(m,n)={(2m)!(2n)!\over m!(m+n)!n!}\,.$$ Properties of characters and of quasi-symmetric functions are then used to derive several interesting identities among b

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Ye, Yilin, Jian Wang, Yunwan Xu, et al. "MATHLA: a robust framework for HLA-peptide binding prediction integrating bidirectional LSTM and multiple head attention mechanism." BMC Bioinformatics 22, no. 1 (2021). http://dx.doi.org/10.1186/s12859-020-03946-z.

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Abstract Background Accurate prediction of binding between class I human leukocyte antigen (HLA) and neoepitope is critical for target identification within personalized T-cell based immunotherapy. Many recent prediction tools developed upon the deep learning algorithms and mass spectrometry data have indeed showed improvement on the average predicting power for class I HLA-peptide interaction. However, their prediction performances show great variability over individual HLA alleles and peptides with different lengths, which is particularly the case for HLA-C alleles due to the limited amount

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Danilov, Vladimir, Alexander Karzanov, and Gleb Koshevoy. "The purity of set-systems related to Grassmann necklaces." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AT,..., Proceedings (2014). http://dx.doi.org/10.46298/dmtcs.2392.

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International audience Studying the problem of quasicommuting quantum minors, Leclerc and Zelevinsky introduced in 1998 the notion of weakly separated sets in $[n]:=\{1,\ldots, n\}$. Moreover, they raised several conjectures on the purity for this symmetric relation, in particular, on the Boolean cube $2^{[n]}$. In 0909.1423[math.CO] we proved these purity conjectures for the Boolean cube $2^{[n]}$, the discrete Grassmanian $\binom{[n]}{r}$, and some other set-systems. Oh, Postnikov, and Speyer in arxiv:1109.4434 proved the purity for weakly separated collections inside a positroid which conta

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Boccardo, Lucio, and Luigi Orsina. "Existence of solutions for gradient coupled Dirichlet systems." ESAIM: Control, Optimisation and Calculus of Variations, February 6, 2024. http://dx.doi.org/10.1051/cocv/2024011.

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<p>In this paper, we prove existence of weak solutions in $\wli$ for the gradient coupled Dirichlet system</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mo>&lt;</mo><mi>b</mi><mi>r</mi><mo>/</mo><mo>&gt;</mo><mrow><mi>\renewcommand</mi><mi>\arraystretch</mi><mrow><mn>1</mn><mo>.</mo><mn>3</mn></mrow><mo>&lt;</mo><mi>b</mi><mi>r</mi><mo>/</mo><mo&

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