Character (mathematics)

About: Character (mathematics) is a research topic. Over the lifetime, 46723 publications have been published within this topic receiving 411412 citations.

Simple groups admit Beauville structures

Abstract: We answer a conjecture of Bauer, Catanese and Grunewald showing that all finite simple groups other than the alternating group of degree 5 admit unmixed Beauville structures. We also consider an analog of the result for simple algebraic groups which depends on some upper bounds for character values of regular semisimple elements in finite groups of Lie type and obtain definitive results about the variety of triples in semisimple regular classes with product 1. Finally, we prove that any finite simple group contains two conjugacy classes C,D such that any pair of elements in C x D generates the group.

Experiments in the Contextual Recognition of Cursive Script

Abstract: In this paper a structure for a contextual cursive script recognition system is presented. This system makes use of letter context to determine word length, letter segmentation, and character identity to achieve contextual recognition at the word level. The system consists of a character recognizer that presents a set of best alternatives for each character to a contextual postprocessor whose task it is to determine the correct word.

Character generating method and apparatus

Abstract: In a character generating method and apparatus for dividing each character pattern into a plurality of partial patterns, storing the partial patterns, selecting the proper partial patterns from the stored ones, and arranging the selected partial patterns at respective start points, a memory stores common start point data representing an absolute start point, common to corresponding partial patterns of a plurality of characters having the same arrangement of partial patterns constituting a character pattern, as coordinate values from a set origin, relative position data representing positions of the partial patterns of the plurality of characters from the common start points as relative positions, and shape data of the partial patterns, representing shapes of the patterns. The common start point data, the relative position data and the shape data are read out from the memory. The coordinate values of the absolute start points of the individual partial patterns are computed from the common start point data and the relative position data. The partial patterns having the shape matching the shape data are arranged at the coordinates of the absolute start points to generate a character pattern corresponding to the character code.

Character reader device

Abstract: A character reader device of the present invention is capable of reading as read data characters written in a portion corresponding to a given read field on a manuscript, detecting a reject character in the read data, generating a pattern image corresponding to the reject character, displaying the read data, the reject character and the pattern image, computing the position of a display area for the read data, deciding whether or not the computed display area is overlapped with the display area for the pattern image shifting the pattern image to the area which is the outside of the display area for the read data if overlapped and displaying it on the latter area. The character reader device can therefore prevent a disadvantage in modifying the reject character if the display area for the pattern image of the reject character is overlapped with the display area for the read data of the read field including the reject field by shifting the display area for the pattern image to another area and modify the reject character more efficiently.