• 제목/요약/키워드: transformations

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Transformations of Partial Matchings

  • Nakamura, Inasa
    • Kyungpook Mathematical Journal
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    • 제61권2호
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    • pp.409-439
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    • 2021
  • We consider partial matchings, which are finite graphs consisting of edges and vertices of degree zero or one. We consider transformations between two states of partial matchings. We introduce a method of presenting a transformation between partial matchings. We introduce the notion of the lattice presentation of a partial matching, and the lattice polytope associated with a pair of lattice presentations, and we investigate transformations with minimal area.

WARING'S PROBLEM FOR LINEAR FRACTIONAL TRANSFORMATIONS

  • Kim, Dong-Il
    • 충청수학회지
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    • 제23권2호
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    • pp.315-321
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    • 2010
  • Waring's problem deals with representing any nonconstant function in a set of functions as a sum of kth powers of nonconstant functions in the same set. Consider ${\sum}_{i=1}^p\;f_i(z)^k=z$. Suppose that $k{\geq}2$. Let p be the smallest number of functions that give the above identity. We consider Waring's problem for the set of linear fractional transformations and obtain p = k.

LL 커버링 변환에 관한 통합 모델 (A unified model of the LL covering transformations)

  • 이경옥
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제33권1호
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    • pp.138-141
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    • 2006
  • LR 문법의 부분 클래스인 k-transformable 문법, PLR 문법, 확장된 PLR 문법은 LL 문법으로의 커버링 변환이 존재하는 클래스이다. 한편 이들 클래스에 대한 LL 커버링 변환 방법은 모두 다른 정형식에 근거하기에, 제시된 LL 커버링 변환간의 관련성은 명확하지 않다. 본 논문에서는 LL 커버링 변환에 관한 통합 모델을 제시한다. 기존 클래스에 대한 변환 방법들은 제시된 모델의 특정한 예로서 생성된다.

A Study on Iconic Animation based on Object Modeling Technique

  • Joung, Suck-Tae
    • Journal of information and communication convergence engineering
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    • 제6권3호
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    • pp.279-284
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    • 2008
  • We propose the iconic animation of the software requirement specifications by using the object and dynamic models of the object modeling technique(OMT) methodology. In order to produce the iconic animation, we use "graphical classes" and "icon transformations." In general, the graphical classes are defined for each class of the object diagram. The icon transformations which show the activities of the application are constructed by considering the meaning of the activities and are defined by either basic or compound icons. The icon transformations are added to the state diagrams to generate extended state diagrams. The animation system generates the header files and the code instantiating GUI from the object diagram having graphical classes. The system also generates "event methods" from the extended state diagrams. When the event methods are executed, the behavior of the events is animated by the icon transformations.

능동적 벽 운동을 수반하는 난류유동의 해석을 위한 근사 좌표변환 (Approximate Coordinate Transformations for Simulation of Turbulent Flows with Active Wall Motions)

  • 강상모
    • 대한기계학회논문집B
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    • 제25권11호
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    • pp.1467-1475
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    • 2001
  • In the present paper, approximate coordinate transformations for simulation of turbulent flows with active wall motions, leading to a significant reduction in the computational cost while maintaining the numerical accuracy, are presented: the Navier-Stokes equations are coordinate-transformed with an approximation of Taylor-series truncation and neglect of some less-significant terms. The performance of the proposed transformations is evaluated in simulation of the channel flow at Re$\sub$$\tau$/=140 with wall deformations of │η$\sub$m/$\^$+/ 5. The approximate transformations provide flow structures as wall as turbulence statistics in good agreement with those from a complete coordinate transformation [Phys. Fluids 12, 3301 (2000)] and allow 25-30% savings in the CPU time as compared to the complete one.

Transformations and Their Analysis from a RGBD Image to Elemental Image Array for 3D Integral Imaging and Coding

  • Yoo, Hoon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권5호
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    • pp.2273-2286
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    • 2018
  • This paper describes transformations between elemental image arrays and a RGBD image for three-dimensional integral imaging and transmitting systems. Two transformations are introduced and analyzed in the proposed method. Normally, a RGBD image is utilized in efficient 3D data transmission although 3D imaging and display is restricted. Thus, a pixel-to-pixel mapping is required to obtain an elemental image array from a RGBD image. However, transformations and their analysis have little attention in computational integral imaging and transmission. Thus, in this paper, we introduce two different mapping methods that are called as the forward and backward mapping methods. Also, two mappings are analyzed and compared in terms of complexity and visual quality. In addition, a special condition, named as the hole-free condition in this paper, is proposed to understand the methods analytically. To verify our analysis, we carry out experiments for test images and the results indicate that the proposed methods and their analysis work in terms of the computational cost and visual quality.

A robust method for response variable transformations using dynamic plots

  • Seo, Han Son
    • Communications for Statistical Applications and Methods
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    • 제26권5호
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    • pp.463-471
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    • 2019
  • The variable transformations are useful ways to guarantee the functional relationships in the model. However, the presence of outliers may undermine the accuracy of transformation. This paper deals with response transformations in the partial linear models under the existence of outliers. A new procedure for response transformation and outliers detection is proposed. The procedure uses a sequential method for identifying outliers and dynamic graphical methods for an appropriate transformation. The graphical tools make it possible to catch diagnostic information by monitoring the movement of points in the data. The procedure is illustrated with several examples. Examples show that visual clues regarding the optimal transformation, the fittness of the model and the outlyness of the observations can be checked from the series of plots.

On Some Matrix Transformations Involving Prime Numbers

  • Srinivasan, V.K.
    • 호남수학학술지
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    • 제7권1호
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    • pp.129-133
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    • 1985
  • The object of this note is to discuss the relationship between some matrix transformations that naturally occur involving prime numbers in the theory of Summability.

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[ ${\pi}_2$ ] UNDER TIETZE TRANSFORMATIONS

  • Baik, Young-Gheel;Sim, Hyo-Seob
    • East Asian mathematical journal
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    • 제19권1호
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    • pp.113-120
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    • 2003
  • We study how the second homotopy modules of group presentations are transformed by Tietze transformations and discuss some application.

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다중 자료 변환을 이용한 구성 자료의 지구통계학적 시뮬레이션 (Geostatistical Simulation of Compositional Data Using Multiple Data Transformations)

  • 박노욱
    • 한국지구과학회지
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    • 제35권1호
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    • pp.69-87
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    • 2014
  • 이 논문에서는 구성 자료의 지구통계학적 시뮬레이션을 위해 다중 자료 변환 기반 조건부 시뮬레이션 틀을 제안하였다. 우선 일반적인 통계 기법의 적용이 가능하도록 구성 자료에 로그비 변환을 적용하였다. 다음 변환들로는 최소/최대 자기상관 인자 변환과 지시자 변환을 순차적으로 적용하였다. 독립적인 새로운 변수의 생성을 위해 최소/최대 자기상관 인자 변환을 적용하였으며, 적용 결과 개별 변수들의 독립적인 시뮬레이션이 가능해진다. 그리고 다중 가우시안 확률 모델을 따르지 않는 변수들의 비모수적 조건부 누적 확률 분포 모델링을 위해 지시자 변환을 적용하였다. 최종적으로는 적용한 변환 방법들의 역순으로 역 변환을 적용하였다. 간석지 표층 퇴적물 성분 자료를 대상으로 제안 시뮬레이션 기법의 적용 가능성을 예시하였다. 모든 시뮬레이션 결과들은 구성 자료의 제한 조건을 만족하면서 샘플 자료의 통계 특성을 잘 반영하였다. 구성 자료의 다수의 시뮬레이션 결과들을 이용한 표층 퇴적물 분류를 통해 기존 크리깅에서는 얻을 수 없는 분류 결과의 확률론적 평가가 가능하였다. 따라서 제안 시뮬레이션 틀은 다양한 구성 자료의 지구통계학적 시뮬레이션에 효과적으로 이용될 수 있을 것으로 기대된다.