• Journal of the Korean Mathematical Society
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• v.42 no.2
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• pp.365-386
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• 2005

Let L be the free Lie superalgebra generated by a $Z_2$-graded vector space V over C. Suppose that g is a Lie superalgebra gl(m, n) or q(n). We study the g-module structure on the kth homogeneous component Lk of L when V is the natural representation of g. We give the multiplicities of irreducible representations of g in Lk by using the character of Lk. The multiplicities are given in terms of the character values of irreducible (projective) representations of the symmetric groups.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.375-394
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• 2014

The purpose of this study is to examine the transition of mathematical representation in Joseon mathematics, which is focused on numbers and operations, letters and expressions. In Joseon mathematics, there had been two numeral systems, one by chinese character and the other by counting rods. These systems were changed into the decimal notation which used Indian-Arabic numerals in the late 19th century passing the stage of positional notation by Chinese character. The transition of the representation of operation and expressions was analogous to that of representation of numbers. In particular, Joseon mathematics represented the polynomials and equations by denoting the coefficients with counting rods. But the representation of European algebra was introduced in late Joseon Dynasty passing the transitional representation which used Chinese character. In conclusion, Joseon mathematics had the indigenous representation of numbers and mathematical symbols on our own. The transitional representation was found before the acceptance of European mathematical representations.

• Journal of the Korea Society of Computer and Information
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• v.14 no.10
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• pp.241-249
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• 2009

Recently, a number of researches related to video annotation and representation have been proposed to analyze video for searching and abstraction. In this paper, we have presented a method to provide the picture elements of conversational participants in video and the enhanced representation of the characters using those elements, collectively called Character-net. Because conversational participants are decided as characters detected in a script holding time, the previous Character-net suffers serious limitation that some listeners could not be detected as the participants. The participants who complete the story in video are very important factor to understand the context of the conversation. The picture elements for detecting the conversational participants consist of six elements as follows: subtitle, scene, the order of appearance, characters' eyes, patterns, and lip motion. In this paper, we present how to use those elements for detecting conversational participants and how to improve the representation of the Character-net. We can detect the conversational participants accurately when the proposed elements combine together and satisfy the special conditions. The experimental evaluation shows that the proposed method brings significant advantages in terms of both improving the detection of the conversational participants and enhancing the representation of Character-net.

• Communications of the Korean Mathematical Society
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• v.15 no.3
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• pp.481-492
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• 2000

As an application of Clifford theory, we are interested in a situation in which every irreducible projective character of a finite group G is an induced character of an irreducible linear character of some subgroup H of G. For this purpose, we study relative projective monomial groups with respect to subgroups.

• Journal of Fashion Business
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• v.16 no.3
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• pp.63-77
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• 2012

This study action drama TV drama 'Ya-ha'(夜叉) the actual work practices of the pre-consultation stage through the Writers, Producer, Art directors and in consultation with the opinion of the character set the record of the contents and character changes over time in accordance with characters makeup the design elements were analyzed. The methods of study was used local and abroad related books, studies, publications and cases and the subjects were limited to be four male make up characters in drama 'Ya-cha'. As a result, TV action drama 'Ya-cha' make up design elements and representation techniques were classified as description of skin tone, wound, the shape of eyebrows, hair type, shape of beard and materials and carried out an important role in the character representation. First, presentation techniques changed skin tones depending on character and position and described wound shape as expression technique and materials were analyzed. Second, the shape of eyebrows was based on the physiognomy of the form. And hair type changed volume, thickness, length and texture depending on character. Third, shape of beard is expressed different kinds of volume, thickness, length and texture depending on character. There fore, that systematization of the make-up design elements is useful to express stable characters and make drama for make up in various image genres.

• Journal of Information Processing Systems
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• v.19 no.3
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• pp.355-369
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• 2023

Since the widespread adoption of deep-learning and related distributed representation, there have been substantial advancements in part-of-speech (POS) tagging for many languages. When training word representations, morphology and shape are typically ignored, as these representations rely primarily on collecting syntactic and semantic aspects of words. However, for tasks like POS tagging, notably in morphologically rich and resource-limited language environments, the intra-word information is essential. In this study, we introduce a deep neural network (DNN) for POS tagging that learns character-level word representations and combines them with general word representations. Using the proposed approach and omitting hand-crafted features, we achieve 90.47%, 80.16%, and 79.32% accuracy on our own dataset for three morphologically rich languages: Uyghur, Uzbek, and Kyrgyz. The experimental results reveal that the presented character-based strategy greatly improves POS tagging performance for several morphologically rich languages (MRL) where character information is significant. Furthermore, when compared to the previously reported state-of-the-art POS tagging results for Turkish on the METU Turkish Treebank dataset, the proposed approach improved on the prior work slightly. As a result, the experimental results indicate that character-based representations outperform word-level representations for MRL performance. Our technique is also robust towards the-out-of-vocabulary issues and performs better on manually edited text.

• Journal of Digital Contents Society
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• v.15 no.5
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• pp.613-620
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• 2014

Gender Representation of animation character that is discussed in this essay is a semantic discourse that is related to communication with contemporary audience. For gender Representation of animation character, as it can be thought that linguistic elements for signification with audience are materialized, it has a significant value when it comes to communication with audience. Commercial success of Disney's feature length animation Frozen is from excellent aesthetic principles and techniques and global marketing capabilities of Disney studio. However, independent and active gender representation of Elsa and Anna in Frozen are more important commercial successful elements. Especially, Gender representation of these two characters reflects myth of women who live in this modern society so their linguistic meaning can appear affluently. That also means that those two characters have advantages, in terms of communication, that can have effective signification with contemporary audience as linguistic sign. And those advantages are signification foundation that Frozen can be commercially successful by communicating with audience all around the world.

• Journal of Korea Game Society
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• v.9 no.6
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• pp.21-30
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• 2009

In this paper, we have proposed to show the change of player character's status visually in character graphics. We have chosen strength and dexterity as basic character status out of strength, constitution, willness, intelligence, and dexterity to express the transition of character graphics. The length of each bone can be reflecting the numerical value of dexterity, and the thickness can show that of strength. This kind of visual representation of character status helps player to reveal his/her character identity. We are expecting this visual representation for direction of fostering characters and character's experience would be applied to various entertainment areas widely.

• The Transactions of the Korea Information Processing Society
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• v.7 no.5
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• pp.1579-1586
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• 2000

This paper propose a method of shape analysis and representation for the handwritten Hangul character patterns. Each of the connected components composing a Hangul character is decomposed into many parts, and skeletons are extracted from the decomposed parts. Using the results, we represent the shape of Hangul characters using the attributed graph representation. A node of the attributed graph represents a part and an edge represents their relationships and they store valuable informations of the pattern shapes.

• Bulletin of the Korean Mathematical Society
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• v.60 no.6
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• pp.1497-1522
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• 2023

In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the stabilizers.