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Character (mathematics)

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


Papers
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Journal ArticleDOI
20 Sep 2004
TL;DR: In this paper, the authors proved general results on supercongruences between values of truncated F-n+1(n) hypergeometric functions and their character analogs.
Abstract: We prove general results on supercongruences between values of truncated F-n+1(n) hypergeometric functions and their character analogs. As a consequence of the main results of this paper, we prove Beukers-type supercongruences for certain weight three newforms.

124 citations

Journal ArticleDOI
01 May 2008
TL;DR: Character amenability of the measure algebra M(G) is shown to be equivalent to G being a discrete amenable group in this paper, and all finite-dimensional extensions of commutative character amenable Banach algebras split strongly.
Abstract: We introduce the notion of character amenable Banach algebras. We prove that character amenability for either of the group algebra L1(G) or the Fourier algebra A(G) is equivalent to the amenability of the underlying group G. Character amenability of the measure algebra M(G) is shown to be equivalent to G being a discrete amenable group. We also study functorial properties of character amenability. For a commutative character amenable Banach algebra A, we prove all cohomological groups with coefficients in finite-dimensional Banach A-bimodules, vanish. As a corollary we conclude that all finite-dimensional extensions of commutative character amenable Banach algebras split strongly.

124 citations

Patent
05 Dec 2000
TL;DR: A computer implemented method (100) for allowing the entry of text in any number of languages using any keyboard (107) chosen by the user as mentioned in this paper monitors a user's keystrokes detecting the entries of multiple identical consecutive diacritical characters in a predefined set of characters.
Abstract: A computer implemented method (100) for allowing the entry of text in any number of languages using any keyboard (107) chosen by the user. The computer implemented method (100) monitors a user's keystrokes detecting the entry of multiple identical consecutive keystrokes of any diacritical character in a predefined set of characters, then maps the keystrokes to replacement character. A diacritical character is a character with diacritical variations that change the sound or accent of that character. A predefined set of characters is that set of characters defined as the characters in a predefined or selected language that have diacritical variations. Thus, one multiple identical consecutive keystrokes of any key are detected, the method determines whether the multiple keystrokes are of a diacritical character or whether they are some other characters. If they are of a diacritical character, then the method maps the multiple keystrokes to a replacement character that is distinct from the diacritical character, otherwise, normal keystroke processing continues.

123 citations

Journal ArticleDOI
TL;DR: The authors empirically tested the effects of good, bad, and morally ambiguous characters (MACs) on audience responses and found that good characters are enjoyed because they are well liked; bad characters are liked the least, but they are equally as transporting, suspenseful, and thus cognitively engaging as other characters.
Abstract: Some of the most compelling characters are morally ambiguous, but little research has examined these characters. This study (N = 313) empirically tests the effects of good, bad, and morally ambiguous characters (MACs) on audience responses. Findings of an experiment reveal that different character types are appealing for different reasons. Specifically, good characters are enjoyed because they are well liked; bad characters are liked the least, but they are equally as transporting, suspenseful, and thus cognitively engaging as other characters. MACs, on the other hand, are liked less than good characters, but they are nevertheless equally as transporting, suspenseful, cognitively engaging, and thereby enjoyable as good characters. The implications of these findings on various media effects theories are discussed.

122 citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20242
20233,365
20227,818
20211,037
20201,521
20191,881