Topic
Character (mathematics)
About: Character (mathematics) is a research topic. Over the lifetime, 46723 publications have been published within this topic receiving 411412 citations.
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Patent•
07 Sep 1994TL;DR: In this paper, a character/graphic pattern is formed in such a way that data, which generate on the CD-ROM two sorts of pit patterns having average reflectances different from each other to a perceptible extent, are respectively recorded inside and outside the pattern.
Abstract: A CD-ROM is provided with an area for forming a character/graphic pattern. The character/graphic pattern is formed in such a way that data, which generate on the CD-ROM two sorts of pit patterns having average reflectances different from each other to a perceptible extent, are respectively recorded inside and outside the character/graphic pattern. Unless an illegal copy disc is produced by duplicating the legal original disc of the CD-ROM at a very high precision, the character/graphic pattern of the copy disc is invisibly deformed by the discrepancy between the arrangements of the pit patterns of the copy disc and the original disc.
99 citations
TL;DR: A new method for weighting characters according to their homoplasy is proposed; the method is non-iterative and does not require independent estimations of weights.
98 citations
98 citations
Posted Content•
TL;DR: In this paper, the combinatorics of alcove walks were used to give a uniform combinatorial formula for Macdonald polynomials for all Lie types, including the Weyl character.
Abstract: In this paper we use the combinatorics of alcove walks to give a uniform combinatorial formula for Macdonald polynomials for all Lie types. These formulas are generalizations of the formulas of Haglund-Haiman-Loehr for Macdonald polynoimals of type GL(n). At q=0 these formulas specialize to the formula of Schwer for the Macdonald spherical function in terms of positively folded alcove walks and at q=t=0 these formulas specialize to the formula for the Weyl character in terms of the Littelmann path model (in the positively folded gallery form of Gaussent-Littelmann).
98 citations
Patent•
09 Feb 1998
TL;DR: An index-and-fetch mechanism, typically implemented as a computer program sub-routine, provides for an indexed fetch of a digital data representation in a font memory of a character indexed according to the number "1-9" as mentioned in this paper.
Abstract: A processor is connected to a display screen to generate a screen display of individual characters in groups together with the selector indication. Such characters typically belong in a language set, e.g., English, Japanese, Greek, etc. The processor receives from the numeric keypad a user selection of a number "1-9" that is associated with a particular one of the individual characters in a group highlighted by the selector indication. An index-and-fetch mechanism, typically implemented as a computer program sub-routine, provides for an indexed fetch of a digital data representation in a font memory of a character indexed according to the number "1-9". The fetched digital data is then available for more general use by a larger computer system, for example in the form of an "ASCII" output character.
98 citations