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The Evolutionary Character of Mathematics
The Mathematics Teacher, 2000This article advocates Grabiner's UDED paradigm [use-discover-explore-define] as a tool for teachers' own acquisition of authentic historical accounts of the evolution of mathematical topics and as a pedagogical strategem for their students as well.
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Mathematical Excursion. Group Characters
1989In this chapter a special group theoretical concept is introduced which has many applications. It describes the main properties of representations and is therefore called “group character”. It solves the problem of how to describe the invariant properties of a group Ĝa , representation in a simple way.
Berndt Müller, Walter Greiner
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CRAMM: Character recognition aided by mathematical morphology
2013 IEEE Second International Conference on Image Information Processing (ICIIP-2013), 2013A Character recognition system takes input in the form of scanned images of handwritten, printed or typewritten text and outputs some form of machine editable text. Intelligent Omni font CR systems have high degree of accuracy and are capable of producing formatted output that closely resembles the original input image.
Subhash Panwar +2 more
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Mathematics and Character Education
The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 1936In this day of radio ballyhoo we have begun to develop thick hides, or a deaf ear, or whatever it takes to resist the persuasion of high-power, longrange, leather-lunged persuaders. We mistrust that eating Father's Bread will make our hair curly; we doubt the efficacy of wart removers, corn removers, stain removers; we are cynical about the merits of ...
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MATHEMATICAL REPRESENTATION OF A CHINESE CHARACTER AND ITS APPLICATIONS
International Journal of Pattern Recognition and Artificial Intelligence, 2002In this paper, a novel method to express Chinese characters mathematically is presented based on the knowledge of the structure of Chinese characters. Each Chinese character can be denoted by a mathematical expression in which the operands are components of Chinese characters and the operators are the location relations between the components.
Huowang Chen +4 more
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Database-Driven Mathematical Character Recognition
2006We present an approach for recognising mathematical texts using an extensive ${\rm L\kern-.36em\raise.3ex\hbox{\sc a}\kern-.15em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}$symbol database and a novel recognition algorithm. The process consists essentially of three steps: Recognising the individual characters in a mathematical text by relating them ...
Alan P. Sexton, Volker Sorge
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Toward affine recognition of handwritten mathematical characters
Proceedings of the 9th IAPR International Workshop on Document Analysis Systems, 2010We address the problem of handwritten symbol classification in the presence of distortions modeled by affine transformations. We consider shear, rotation, scaling and translation, since these types of transformations occur most often in practice, and focus most on shear within this framework.
Oleg Golubitsky +2 more
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A mathematical foundation for the analysis of cladistic character compatibility
Mathematical Biosciences, 1976Using formal algebraic definitions of “cladistic character” and “character compatibility”, the concept of “binary factors of a cladistic character” is formalized and used to describe and justify an algorithm for checking the compatibility of a set of characters.
Estabrook, George F. +2 more
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Application of Mathematical Morphology on Touching or Broken Characters Processing
Advanced Materials Research, 2010It is difficult to process touching or broken characters in practical applications on optical character recognition. For touching or broken characters, a method based on mathematical morphology of binary image is put forward in the paper. On the basis of the relative theories of digital image processing, the overall process is introduced including ...
Ying Jie Liu, Fu Cheng You
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Categorical Foundations of the Protean Character of Mathematics
1997Mathematics is protean; it is that part of science which deals with “things,” each of which can appear in many different applications. The “things” are often described as “structures”. Despite the familiar emphasis on set-theory, these structures are more than just sets; thus a group G is a set such that any two elements g and h of the group G have a ...
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