• Title/Summary/Keyword: fundamental domains

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NONEXISTENCE OF H-CONVEX CUSPIDAL STANDARD FUNDAMENTAL DOMAIN

  • Yayenie, Omer
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.823-833
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    • 2009
  • It is well-known that if a convex hyperbolic polygon is constructed as a fundamental domain for a subgroup of the modular group, then its translates by the group elements form a locally finite tessellation and its side-pairing transformations form a system of generators for the group. Such hyperbolically convex polygons can be obtained by using Dirichlet's and Ford's polygon constructions. Another method of obtaining a fundamental domain for subgroups of the modular group is through the use of a right coset decomposition and we call such domains standard fundamental domains. In this paper we give subgroups of the modular group which do not have hyperbolically convex standard fundamental domain containing only inequivalent cusps.

FACE PAIRING MAPS OF FORD DOMAINS FOR CUSPED HYPERBOLIC 3-MANIFOLDS

  • Hong, Sung-Bok;Kim, Jung-Soo
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.1007-1025
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    • 2008
  • We will describe a way to construct Ford domains of cusped hyperbolic 3-manifolds on maximal cusp diagrams and compute fundamental groups using face pairing maps as generators and Cannon-Floyd-Parry's edge cycles as relations. We also describe explicitly a cutting and pasting alteration to reduce the number of faces on the bottom region of Ford domains. We expect that our analysis of Ford domains will be useful on other future research.

Pitch Estimation Method in an Integrated Time and Frequency Domain by Applying Linear Interpolation (선형 보간법을 이용한 시간과 주파수 조합영역에서의 피치 추정 방법)

  • Kim, Ki-Chul;Park, Sung-Joo;Lee, Seok-Pil;Kim, Moo-Young
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.47 no.5
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    • pp.100-108
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    • 2010
  • An autocorrelation method is used in pitch estimation. Autocorrelation values in time and frequency domains, which have different characteristics, correspond to the pitch period and fundamental frequency, respectively. We utilize an integrated autocorrelation method in time and frequency domains. It can remove the errors of pitch doubling and having. In the time and frequency domains, pitch period and fundamental frequency have reciprocal relation to each other. Especially, fundamental frequency estimation ends up as an error because of the resolution of FFT. To reduce these artifacts, interpolation methods are applied in the integrated autocorrelation domain, which decreases pitch errors. Moreover, only for the pitch candidates found in a time domain, the corresponding frequency-domain autocorrelation values are calculated with reduced computational complexity. Using linear interpolation, we can decrease the required number of FFT coefficients by 8 times. Thus, compared to the conventional methods, computational complexity can be reduced by 9.5 times.

Leveraging and Fostering Diversity in the IS Discipline: Intradisciplinary Knowledge Building via the IT View-IS Phenomenon (VP) Matrix

  • Inchan Kim;Jama Summers
    • Asia pacific journal of information systems
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    • v.34 no.1
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    • pp.49-90
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    • 2024
  • Intradisciplinary research refers to research that integrates ideas often associated with different research domains in a discipline. Such cross-fertilization leverages abundant diversity present in the IS discipline to tackle increasingly complex IS problems and grand challenges. Despite its importance and recent attention, a concerted, sustained effort toward intradisciplinary research is lagging. A fundamental issue we see is a lack of an elaborate IS research map that effectively shows similarities and differences among research domains and demonstrates types of ideas that may travel and integrate into different domains. We thus aim to propose an elaborate IS research map and compile research elements that can be tried and combined across research domains. To do so, we utilize two IS classics (i.e., IT views and IS phenomena), identify their complementarity, and interweave the two disparate ways of portraying the IS research field. The resultant view-phenomenon (VP) matrix specifies research domains based on two consistent, comprehensive criteria and helps researchers discern similarities and differences among research domains more effectively. The VP matrix also sheds light on a variety of research elements that can flow across research domains. The VP matrix along with the research elements together facilitate intradisciplinary efforts and, more broadly, help the IS discipline to prosper. The VP matrix is particularly helpful for doctoral students and young scholars.

Characteristics of Cow´s Voices in Time and Frequency domains for Recognition

  • Ikeda, Yoshio;Ishii, Y.
    • Agricultural and Biosystems Engineering
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    • v.2 no.1
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    • pp.15-23
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    • 2001
  • On the assumption that the voices of the cows are produced by the linear prediction filter, we characterized the cows’voices. The order of this filter was determined by examining the voice characteristics both in time and frequency domains. The proposed order of the linear prediction filter is 15 for modeling voice production of the cow. The characteristics of the amplitude envelope of the voice signal was investigated by analyzing the sequence of the short time variance both in time and frequency domains, and the new parameters were defined. One of the coefficients o the linear prediction filter generating the voice signal, the fundamental frequency, the slope of the straight line regressed from the log-log spectra of the short time variance and the coefficients of the linear prediction filter generating the sequence of the short time variance of the voice signal can differentiate the two cows.

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Identity-Based Ring Signature Schemes for Multiple Domains

  • Ki, JuHee;Hwang, Jung Yeon;Lee, Dong Hoon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.10
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    • pp.2692-2707
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    • 2012
  • A separable identity-based ring signature scheme has been constructed as a fundamental cryptographic primitive for protecting user privacy. Using the separability property, ring members can be selected from arbitrary domains, thereby, giving a signer a wide range of ways to control privacy. In this paper we propose a generic method to construct efficient identity-based ring signature schemes with various levels of separability. We first describe a method to efficiently construct an identity-based ring signature scheme for a single domain, in which a signer can select ring identities by choosing from identities defined only for the domain. Next, we present a generic method for linking ring signatures constructed for a single domain. Using this method, an identity-based ring signature scheme with a compact structure, supporting multiple arbitrary domains can be designed. We show that our method outperforms the best known schemes in terms of signature size and computational costs, and that the security model based on the separability of identity-based ring signatures, presented in this paper, is highly refined and effective by demonstrating the security of all of the proposed schemes, using a model with random oracles.

An Ethnography on Fundamental Nursing Practice Class (기본간호학실습 수업의 문화기술지 연구)

  • An, Hyo-Ja;Park, Hyun-Ju
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.25 no.1
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    • pp.33-45
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    • 2018
  • Purpose: Objectives of this study were to identify and describe cultural meaning for nursing students in the class in fundamental nursing practice. Methods: Data were collected from November 2016 to May 2017 included focus group interviews and participants observation. The key informants in this study included 23 nursing students divided into 3 focus groups who had taken the course in fundamental nursing practice in university U and university S in Kyungpook, and university D in Jeonnam. Interviews continued until no new information could be identified from transcripts. Data were analyzed using the taxonomic analysis method developed by Spradley. Results: Based on the data acquired from the interviews, cultural domains in the class "fundamental nursing practice" were classified as 'community oriented activities', 'learning and playing space', 'relationship of difference and discrimination', 'time for present and future'. Conclusion: The culture in the class "fundamental nursing practice" could be summarized as 'non-standardized learning with team dynamics'. Also nursing students learned about a small society whose members are becoming nurses. Results indicate that it is critical for professors to understand students' values, beliefs and their attitude in order to aid in adjustment to class.

CHARACTERISTICS OF COW′S VOICES IN TIME AND FREQUENCY DOMAINS FOR RECOGNITION

  • Ikeda, Y.;Ishii, Y.
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 2000.11b
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    • pp.196-203
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    • 2000
  • On the assumption that the voices of the cows are produced by the linear prediction filter, we characterized the cows' voices. The order of this filter is determined by examining the voices characteristics both in time and frequency domains. The proposed order of the linear prediction filter is 15 for modeling voice production of the cow. The combination of the two parameters of the fundamental frequency, the slope of the straight line regressed from the log-log spectra of the amplitude-envelope and the only one coefficient involved in the linear prediction filter can differentiate the two cows.

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GEOMETRIC CLASSIFICATION OF ISOMETRIES ACTING ON HYPERBOLIC 4-SPACE

  • Kim, Youngju
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.303-317
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    • 2017
  • An isometry of hyperbolic space can be written as a composition of the reflection in the isometric sphere and two Euclidean isometries on the boundary at infinity. The isometric sphere is also used to construct the Ford fundamental domains for the action of discrete groups of isometries. In this paper, we study the isometric spheres of isometries acting on hyperbolic 4-space. This is a new phenomenon which occurs in hyperbolic 4-space that the two isometric spheres of a parabolic isometry can intersect transversally. We provide one geometric way to classify isometries of hyperbolic 4-space using the isometric spheres.