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•
IBM1
TL;DR: In this paper, a set of internal repeats in a sequence of characters is identified by a pattern discovery technique, and if at least one internal repeat belonging to the set of repeated internal repeats is determined, it is determined if the internal repeat corresponds to a group of character sequences.
Abstract: The present invention groups character sequences by identifying a sequence of characters. A set of internal repeats in said sequence of characters is identified by a pattern discovery technique. For at least one internal repeat belonging to the set of internal repeats, it is determined if the internal repeat corresponds to a group of character sequences; If so, first data that identifies the sequence of characters and second data that associates the sequence of characters with the group of character sequences is stored in persistent memory. The pattern discovery mechanism discovers patterns in a sequence of characters in two phases. In a sampling phase, preferably proper templates corresponding to the sequence of characters are generated. Patterns are then generated corresponding to the templates and stored in memory. In a convolution phase, the patterns stored in memory are combined to identify a set of maximal patterns.
115 citations
Patent•
04 Oct 1996TL;DR: A user interface element enables the user to select an appearance for a character that corresponds with an emotion and an emotional intensity as mentioned in this paper, where the user interface is logically partitioned into sub-regions.
Abstract: A user interface element enables the user to select an appearance for a character that corresponds with an emotion and an emotional intensity. The user interface may more generally be utilized to select values for a first degree of freedom and a second degree of freedom. The user interface element may take the form of a symmetrical closed curve, such as a circle. The user interface element is logically partitioned into sub-regions. Each sub-region may additionally be partitioned into one or more sub-areas. Each sub-region is associated with a given value for a first degree of freedom, and each sub-area is associated with a value for the second degree of freedom. When the user interface element is utilized to select emotions and emotional intensity for a character, the user interface element may include a character preview area that displays a preview of a character's appearance given a current position of the position indicator within the user interface element.
115 citations
TL;DR: This study was prompted by the observation that positive urine cultures were obtained as a purely incidental finding from many of the women hospitalized on the Stanford Medical Service.
Abstract: Excerpt This study was prompted by the observation that positive urine cultures were obtained as a purely incidental finding from many of the women hospitalized on the Stanford Medical Service. It ...
115 citations
TL;DR: In this paper, the complexified twisted equivariant K-theory of a space with a compact Lie group action in terms of fixed-point data is described, and the result relates to the Verlinde algebra and to the Kac numerator at q = 1.
Abstract: Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K-theory of a space with a compact Lie group action in terms of fixed-point data. We apply this to the case of a compact group acting on itself by conjugation and relate the result to the Verlinde algebra and to the Kac numerator at q=1. Verlinde's formula is also discussed in this context.
115 citations