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Recognition of on-line handwritten mathematical formulas in the E-chalk system

E. Tapia, R. Rojas
Seventh International Conference on Document Analysis and Recognition, 2003. Proceedings.  
In this article, we present a system for the recognition of on-line handwritten mathematical formulas which is used in the electronic chalkboard (E-chalk), a multimedia system for distance-teaching.  ...  The classification is based on support vector machines and the construction of formulas is based on baseline structure analysis.  ...  Acknowledgments Ernesto Tapia thanks the Mexican National Council for Science and Technology (CONACyT) for its support during his Ph.D. studies via the credit-scholarship number 154901.  ... 
doi:10.1109/icdar.2003.1227805 dblp:conf/icdar/TapiaR03 fatcat:y2eujaycifdslpscy73zzkyc7y

Recognition of on-line handwritten mathematical expressions in the E-Chalk system - an extension

E. Tapia, R. Rojas
2005 Eighth International Conference on Document Analysis and Recognition (ICDAR'05)  
This article introduces the new version of our system for the recognition of on-line handwritten mathematical expressions.  ...  The system is embedded as an intelligent assistant in the Electronic Chalkboard (E-Chalk), a system for the live transmition and storage of lectures.  ...  Implementation in the E-Chalk System Java implementation Using the techniques described in the previous section, we wrote a Java library for the recognition of on-line mathematical expressions in E-Chalk  ... 
doi:10.1109/icdar.2005.197 dblp:conf/icdar/TapiaR05 fatcat:gwskw65mv5c4ddyxh4nfif75gq

Teaching with an intelligent electronic chalkboard

Gerald Friedland, Lars Knipping, Ra�l Rojas, Ernesto Tapia
2004 Proceedings of the 2004 ACM SIGMM workshop on Effective telepresence - ETP '04  
One assistant takes care of interpreting the handwritten input of the user. Another is a mathematical formula recognizer which processes handwritten queries for the algebraic server.  ...  The E-Chalk architecture is based on the metaphor of the classical chalkboard, enhanced by intelligent assistants running in the background.  ...  ACKNOWLEDGEMENTS The E-Chalk system has been an ongoing project at our lab during the last three years.  ... 
doi:10.1145/1026776.1026782 fatcat:goyq2de2cfdv7kvsllc7hdjupe

Recognition of On-line Handwritten Mathematical Expressions Using a Minimum Spanning Tree Construction and Symbol Dominance [chapter]

Ernesto Tapia, Raúl Rojas
2004 Lecture Notes in Computer Science  
The method handles some layout irregularities frequently found in on-line handwritten formula recognition systems, like symbol overlapping and association of arguments of sum-like operators.  ...  We present a structural analysis method for the recognition of on-line handwritten mathematical expressions based on a minimum spanning tree construction and symbol dominance.  ...  Acknowledgments The authors like to thank the anonymous reviewers for a variety of suggestions that helped to improve this paper.  ... 
doi:10.1007/978-3-540-25977-0_30 fatcat:j3onzhvdbndxpfevtynoevwkvm


2004 International journal on artificial intelligence tools  
One of these modules is described here: A computer algebra system that evaluates mathematical expressions or plots functions is placed at the lecturers disposal by a handwriting recognition.  ...  This article presents a system that maps classroom lectures directly into web based education lessons. In the classroom, the lecturer writes on a wide, pen sensitive display.  ...  Acknowledgments Ernesto Tapia thanks the Mexican National Council for Science and Technology (CONACyT) for its financial support during his Ph.D. studies via the creditscholarship number 154901.  ... 
doi:10.1142/s0218213004001582 fatcat:owsqszw4wfclbizysfwz235meu

The study of mathematical expression recognition and the embedded system design

Xiangwei Qi, Yusup Abaydulla
2010 Journal of Software  
Tapia, etc.Recognition of On-Line Handwritten Mathematical Expressions in the E-Chalk System.  ...  mathematical formula recognition (M), 2007.  ... 
doi:10.4304/jsw.5.1.44-53 fatcat:s72fuw4fs5f5tiei2csk4cnrzi

Recognition and retrieval of mathematical expressions

Richard Zanibbi, Dorothea Blostein
2011 International Journal on Document Analysis and Recognition  
This paper surveys the state of the art in recognition and retrieval of mathematical expressions, organized around four key problems in math retrieval (query construction, normalization, indexing, and  ...  Of special interest is the machine learning problem of jointly optimizing the component algorithms in a math recognition system, and developing effective indexing, retrieval and relevance feedback algorithms  ...  This work was also supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Xerox Foundation.  ... 
doi:10.1007/s10032-011-0174-4 fatcat:pufig4ovmjav3pspbigj5ezcee

One year of ICTP diploma courses on-line using the automated EyA recording system

Enrique Canessa, Carlo Fonda, Marco Zennaro
2009 Computers & Education  
The 12-month pre-Ph.D ICTP Diploma Courses in the fields of Condensed Matter Physics, High Energy Physics, Mathematics, Earth System Physics and Basics Physics have been recorded using the automated, low  ...  cost recording system called EyA developed in-house.  ...  Both of these can be loaded directly from a hard disk or the Internet. Projects such as e-Chalk [8] also includes algebraic formula manipulation via handwriting recognition, etc. [9, 10] .  ... 
doi:10.1016/j.compedu.2009.01.011 fatcat:4cdtfzfikzgenpam5imhi7hq5y

A paradigm for handwriting-based intelligent tutors

Lisa Anthony, Jie Yang, Kenneth R. Koedinger
2012 International Journal of Human-Computer Studies  
answer to reduce ambiguity for tutoring purposes, and (2) in the small number of cases in which the system must involve the student in recognition error recovery, the interaction focuses on identifying  ...  This work can inform the design of future systems for students using pen and sketch input for math or other topics by motivating the use of context and pragmatics to decrease the impact of recognition  ...  Acknowledgments The authors thank Mark D. Gross, Jennifer Mankoff, and Tom M. Mitchell for comments on the dissertation that informed this paper, and the anonymous reviewers of this  ... 
doi:10.1016/j.ijhcs.2012.04.003 fatcat:vri4xxkktbczjdxwpjwbzntbsu

Continuous Offline Handwriting Recognition using Deep Learning Models [article]

Jorge Sueiras
2021 arXiv   pre-print
Handwritten text recognition is an open problem of great interest in the area of automatic document image analysis.  ...  The generalization capacity of the model has also been validated by evaluating it on three handwritten text databases using different languages: IAM in English, RIMES in French, and Osborne in Spanish,  ...  The MDLSTM architecture was proposed by Bluche et al. in [21] and [20] , as the basis for the implementation of a handwritten paragraph-level recognition systems, without the need of line segmentation  ... 
arXiv:2112.13328v1 fatcat:xkcdw7c2rngd7jsaixsfosqzc4

Understanding Mathematics: A System for the Recognition of On-Line Handwritten Mathematical Expressions [article]

Ernesto Tapia, Universitätsbibliothek Der FU Berlin, Universitätsbibliothek Der FU Berlin
This work presents a system for the recognition of on-line handwritten mathematical formulas.  ...  Our system for the recognition of on- line handwritten mathematical expressions is used in the Electronic Chalkboard (E-Chalk), a multimedia system for distance-teaching.  ...  Finally, my deepest gratitude to Anja for her company and support, in particular during the last months of the preparation of this manuscript. Acknowledgments  ... 
doi:10.17169/refubium-16590 fatcat:b4fevf76vndgti5v7hcukq4dpe

The Characteristics of Writing Environments for Mathematics: Behavioral Consequences and Implications for Software Design and Usability [chapter]

Davood G. Gozli, Marco Pollanen, Michael Reynolds
2009 Lecture Notes in Computer Science  
A study is reported that examines how users write mathematical expressions using two graphic based editors: one that is structure-based and one that allows the free-form manipulation of selected symbols  ...  The multi-dimensionality of mathematical notation creates a challenge for mathematical software editors.  ...  Indeed, even verbal communication of mathematics relies heavily on intermediary interfaces such as pen-and-paper or chalk-and-chalkboard.  ... 
doi:10.1007/978-3-642-02614-0_26 fatcat:rodhnned3fhvnohmnpcbj4hjqa

State-of-Charge Estimation of a Li-Ion Battery using Deep Forward Neural Networks [article]

Alexandre Barbosa de Lima and Maurício B. C. Salles and José Roberto Cardoso
2020 arXiv   pre-print
the K-fold cross-validation method, in order to estimate the State of Charge (SOC) of the cell.  ...  The contribution of this work is to present a methodology of building a Deep Forward Network for a lithium-ion battery and its performance assessment, which follows the best practices in machine learning  ...  Furthermore, the science of deep learning is not like mathematics or physics, in which theoretical advances can be achieved with a chalk and a blackboard.  ... 
arXiv:2009.09543v1 fatcat:vmgfzi6cpzawnm4mb2g72xdsyq

Interview with Xavier Viennot

ECA, University of Haifa
2021 Enumerative Combinatorics and Applications  
We did not know at the same time, Guttmann and Enting were doing some experiments, and from the first values of the sequence, applying techniques of approximants, guess (and conjecture) the formula 124  ...  This was the starting point of nice and fruitful cooperation between our combinatorial group in LaBRI and the department of statistical mechanics at Melbourne University.  ...  Betrema and Penaud 129 gave a simpler proof of the formula 3 n with heaps of dimers on a line, which is deduced from a system of equations.  ... 
doi:10.54550/eca2022v2s1i4 fatcat:n2kaan37zrcc3l6xf25tsg477u

From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden

Fritz Gesztesy, Evans M. Harrell, Percy A. Deift, Lon Rosen, Jürg Fröhlich, Mike Reed
2016 Notices of the American Mathematical Society  
People in orthogonal polynomials know well Barry's insistence on calling the recurrence coefficients for orthogonal polynomials on the circle Verblunsky coefficients, in recognition of the almost forgotten  ...  At Les Houches, the late Oscar E.  ...  In 1980 Barry proved a correlation inequality, sometimes referred to as the "Simon-Lieb inequality," useful to establish decay of correlations in models of classical ferromagnetic lattice spin systems,  ... 
doi:10.1090/noti1403 fatcat:7dikjjtkefhxdafbvdzaqr2mym
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