• Title/Summary/Keyword: Space Dimension

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ON SOME CR-SUBMANIFOLDS OF (n-1) CR-DIMENSION IN A COMPLEX PROJECTIVE SAPCE

  • Kwon, Jung-Hwan
    • Communications of the Korean Mathematical Society
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    • v.13 no.1
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    • pp.85-94
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    • 1998
  • The purpose of this paper is to give sample characterizations of n-dimensional CR-submanifolds of (n-1) CR-semifolds of (n-1) CR-dimension immersed in a complex projective space $CP^{(n+p)/2}$ with Fubini-Study metric and we study an n-dimensional compact, orientable, minimal CR-submanifold of (n-1) CR-dimension in $CP^{(n+p)/2}$.

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The Aesthetic Evaluative Response of Eating and Drinking Space Design -Focused on the Relationships between Aesthetic Variables and Preference by Perceptual-Cognitive and Affective Judgment- (식음 공간 디자인의 심미적 평가 반응 -지각적.감정적 판단에 따른 미적 변수와 선호도의 관계를 중심으로-)

  • Choi, Eun-Hee;Kwon, Young-Gull
    • Archives of design research
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    • v.20 no.1 s.69
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    • pp.21-32
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    • 2007
  • To quantitatively measure or evaluate aesthetic factors is not easy in comparison with physical, functional, behavioral or economic factors. Yet aesthetic factors essentially play an important role in design modeling process. Despite its importance, research on aesthetic assessment or the interaction of aesthetic influential elements is insufficient. Therefore, this study is intended to find the relationships between visual preference and aesthetic variables of perceptual-cognitive dimension and affective dimension in commercial space design. According to the result of this substantiation research, aesthetic variables that give a positive effect on the preference of commercial space design are unity, order, and clarity in perceptual-cognitive dimension and 'pleasant', 'relaxing' in affective dimension. On the other side, aesthetic variables that give a negative effect on the preference are contrast, complexity, and ambiguity that is a contrary concept of clarity in perceptual-cognitive dimension and 'exciting', 'arousing' in affective dimension.

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Full-mouth rehabilitation with increasing minimum vertical dimension in the patient with severely worn dentition and deep bite (과도한 치아 마모와 과개교합을 보이는 환자에서 최소한의 수직 고경 증가를 동반한 전악 구강 회복 증례)

  • Lee, Kang-Shin;Park, Ju-Mi;Ahn, Seung-Geun;Seo, Jae-Min;Han, Chang-Hee;Lee, Jung-Jin
    • The Journal of Korean Academy of Prosthodontics
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    • v.59 no.4
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    • pp.431-441
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    • 2021
  • Full-mouth rehabilitation with increasing vertical dimension can be used for patients with severely worn teeth. In severely worn teeth also, the alveolar process can be elongated to compensate for the reduced vertical dimension, and the patient's vertical dimension of occlusion can be kept constant. However, full-mouth rehabilitation with increasing vertical dimension must be carefully chosen, because the vertical dimension can be reduced by tooth wear. It is important to establish a treatment plan with the systematic diagnosis of the change in the vertical dimension and gain space for the prosthesis. It is necessary to change the vertical dimension to secure the restoration space and select the minimum vertical dimension elevation for the esthetic and functional goal. In this case report, the patient complained of difficulty during chewing due to a worn dentition and wanted esthetic improvement of the short mandibular anterior teeth. After systematic evaluation and diagnosis, we performed full-mouth rehabilitation with minimum vertical dimension elevation to obtain the space for restoration. This resulted in a stable and harmonious occlusion, and the functional and esthetic problems of the patient were solved after treatment. The patient was satisfied with the results of the treatment and maintained stable occlusion during the follow-up period.

The Development of Sensibility Evaluation Tools for User-Oriented Housing Interior Space (사용자 중심의 주거 실내공간 감성평가도구 개발)

  • Park, Ji-Min
    • Korean Institute of Interior Design Journal
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    • v.23 no.5
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    • pp.112-121
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    • 2014
  • The purpose of this study is to develop the user-oriented housing interior space sensibility evaluation tools: The user-oriented housing interior space sensibility evaluation tools shall be developed through the systematic selection process of the extracted housing interior space images, which were linked with the adjectives of sensibility evaluation selected for the housing interior space preferred by the user from the specific words of the sensibility extracted to identify the characteristics of the user's sensibility which is recently being changed. In the results of analyzing the words of sensibility for the residential space preferred by the users with 48 pairs of adjectives. The user-oriented sensibility assessment tool was built by extracting 8 sensibility factors of 'cozy', 'practical' 'cheerful', 'traditional', 'unique', 'congenial', 'sensuous', and 'gorgeous' in the exploratory factor analysis. The image scale was constructed in two-dimensions of the sense of space and the type of space for the residential interior space images. The dimension of the 'sense of space' is explained by the axis of open-closed and the dimension of 'type of space, is explained by the axis of 'natural-artificial'. Such a structural model of the residential interior design attributes were divided into 8 groups. And the 42 images representing each group were selected and the user-oriented residential interior space image tool was built by adding user's selective elements.

Defect evaluations of weld zone in rails considering phase space-frequency demain (위상공간-주파수 영역을 고려한 레일 용접부의 결함 평가)

  • 윤인식;권성태;장영권;정우현;이찬석
    • Journal of the Korean Society for Railway
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    • v.2 no.2
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    • pp.21-30
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    • 1999
  • This study proposes the analysis and evaluation method of time series ultrasonic signal using the phase space-frequency domain. Features extracted from time series signal analyze quantitatively characteristics of weld defects. For this purpose, analysis objectives in this study are features of time domain and frequency domain. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics resulting from distance shifts such as parts of head and flange even though the types of defects are identified. These differences in characteristics of weld defects enables the evaluation of unique characteristics of defects in the weld zone. In quantitative fractal feature extraction, feature values of 3.848 in the case of part of head(crack) and 4.102 in the case of part of web(side hole) and 3.711 in the case of part of flange(crack) were proposed on the basis of fractal dimension. Proposed phase space-frequency domain method in this study can integrity evaluation for defect signals of rail weld zone such as side hole and crack.

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Generalized G-Metric Spaces

  • Hayoung, Choi;Sejong, Kim;Seung Yeop, Yang
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.773-785
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    • 2022
  • In this paper, we propose the notion of a distance between n points, called a g-metric, which is a further generalized G-metric. Indeed, it is shown that the g-metric with dimension 2 is the ordinary metric and the g-metric with dimension 3 is equivalent to the G-metric.

A STUDY ON THE CHANGE OF AIRWAY SPACE AND CRANIAL, CERVICAL ANGULATION AFTER MANDIBULAR SETBACK OPERATION (하악골 후방이동 수술후 기도 공간과 두개 및 경추 각도의 변화에 관한 연구)

  • Chang, Hyun-Ho;Kim, Jae-Seung;Yi, Choong-Kook
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.26 no.2
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    • pp.115-131
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    • 2000
  • In the study of craniofacial deformity, it is very important that identifying the factor which can affect the morphology and which is closely related to the morphology, because it can not only improve the comprehension of growth and developmental process but also be applied in growth prediction and treatment modality. Several investigators have already mentioned the characterstics of head posture and airway space in relations to morphologic difference. But it is very meaningful work in clarifying the correlation between morphology, head posture and airway space that observing the change of head posture after morplologic change caused by operation and the change of airway space after same procedure. To investigate above correlation, I selected normal group which is consisted of 43 adults and mandibular prognathism group which is consisted of 47 adults who had been operated by sagittal split ramus osteotomy and were followed up more than 1 year. With their lateral skull radiograghs, reference lines which can evaluate each measuring points and areas without effect of postural change were first determined. And using above reference lines, change of airway space, positional change of tongue and hyoid, change of cranial and cervical angulations were measured. The results obtained from the study were as follows 1. In the change of head posture, the position of tongue and hyoid neighboring to pharynx is more closely related to the reference line of cervical column than to reference line of cranium. 2. After mandibular setback operation, the airway dimension was decreased to 81.6% of preoperative state at 1 month postoperatively and was slightly increased to 89.7% at 1 year postoperatively. 3. Posterior movement of tongue plays important role in decrease of airway dimension and inferior movement of hyoid was closely correlated with posterior movement of tongue. 4. Postoperative anterior movement of mandible, namely, morphologic relapse had correlation with relapse phenomenon of airway dimension. 5. Craniocervical angulation increased postoperatively. Especially in the postoperative early state, there was increased foreward inclination of cervical angulation rather than increase of cranial angulation. But at postoperative 1 year it was observed that cervical inclination was returned to preoperative state and cranial angulation was increased gradually. 6. Increase rate of airway dimension was correlated with the increase of cranial angulation from postoperative 1 month to 1 year. In conclusion, relapse tendency of airway dimension following increase of cranial angulation was found after mandibular setback operation and it is considered that increase of cranial angulation is one of compensatory mechanism in airway maintenance.

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GMM Based Voice Conversion Using Kernel PCA (Kernel PCA를 이용한 GMM 기반의 음성변환)

  • Han, Joon-Hee;Bae, Jae-Hyun;Oh, Yung-Hwan
    • MALSORI
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    • no.67
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    • pp.167-180
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    • 2008
  • This paper describes a novel spectral envelope conversion method based on Gaussian mixture model (GMM). The core of this paper is rearranging source feature vectors in input space to the transformed feature vectors in feature space for the better modeling of GMM of source and target features. The quality of statistical modeling is dependent on the distribution and the dimension of data. The proposed method transforms both of the distribution and dimension of data and gives us the chance to model the same data with different configuration. Because the converted feature vectors should be on the input space, only source feature vectors are rearranged in the feature space and target feature vectors remain unchanged for the joint pdf of source and target features using KPCA. The experimental result shows that the proposed method outperforms the conventional GMM-based conversion method in various training environment.

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Grassmann's Mathematical Epistemology and Generalization of Vector Spaces (그라스만의 수학 인식과 벡터공간의 일반화)

  • Lee, Hee Jung;Shin, Kyunghee
    • Journal for History of Mathematics
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    • v.26 no.4
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    • pp.245-257
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    • 2013
  • Hermann Grassmann classified mathematics and extended the dimension of vector spaces by using dialectics of contrasts. In this paper, we investigate his mathematical idea and its background, and the process of the classification of mathematics. He made a synthetic concept of mathematics based on his idea of 'equal' and 'inequal', 'discrete' and 'indiscrete' mathematics. Also, he showed a creation of new mathematics and a process of generalization using a dialectic of contrast of 'special' and 'general', 'real' and 'formal'. In addition, we examine his unique development in using 'real' and 'formal' in a process of generalization of basis and dimension of a vector space. This research on Grassmann will give meaningful suggestion to an effective teaching and learning of linear algebra.