• Title/Summary/Keyword: Split Function

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CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS

  • Kang, Han Ul;Cho, Jeong Young;Shon, Kwang Ho
    • East Asian mathematical journal
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    • v.33 no.3
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    • pp.309-315
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    • 2017
  • In this paper, we investigate the regularities of the hyper-complex valued functions of the split quaternion variables. We define several differential operators for the split qunaternionic function. We research several left split regular functions for each differential operators. We also investigate split harmonic functions. And we find the corresponding Cauchy-Riemann system and the corresponding Cauchy theorem for each regular functions on the split quaternion field.

HYPERMEROMORPHY OF FUNCTIONS ON SPLIT QUATERNIONS IN CLIFFORD ANALYSIS

  • KIM, JI EUN;SHON, KWANG HO
    • East Asian mathematical journal
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    • v.31 no.5
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    • pp.653-658
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    • 2015
  • In this paper, we consider split quaternionic functions defined on an open set of split quaternions and give the split quaternionic functions whose each inverse function is sp-hyperholomorphic almost everywhere on ${\Omega}$. Also, we describe the definitions and notions of pseudoholomorphic functions for split quaternions.

Automatic Left Ventricle Segmentation using Split Energy Function including Orientation Term from CTA

  • Kang, Ho Chul
    • International journal of advanced smart convergence
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    • v.7 no.2
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    • pp.1-6
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    • 2018
  • In this paper, we propose an automatic left ventricle segmentation method in computed tomography angiography (CTA) using separating energy function. First, we smooth the images by applying anisotropic diffusion filter to remove noise. Secondly, the volume of interest (VOI) is detected by using k-means clustering. Thirdly, we divide the left and right heart with split energy function. Finally, we extract only left ventricle from left and right heart with optimizing cost function including orientation term.

Determination of double-K fracture parameters of concrete using split-tension cube test

  • Kumar, Shailendra;Pandey, S.R.
    • Computers and Concrete
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    • v.9 no.2
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    • pp.81-97
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    • 2012
  • This paper presents development of double-K fracture model for the split-tension cube specimen for determining the unstable fracture toughness and initial cracking toughness of concrete. There are some advantages of using of split-tension cube test like compactness and lightness over the existing specimen geometries in practice such as three-point bend test, wedge splitting test and compact tension specimen. The cohesive toughness of the material is determined using weight function having four terms for the split-tension cube specimen. Some empirical relations are also suggested for determining geometrical factors in order to calculate stress intensity factor and crack mouth opening displacement for the same specimen. The results of double-K fracture parameters of split-tension cube specimen are compared with those obtained for compact tension specimen. Finally, the influence of the width of the load-distribution of split-tension cube specimen on the double-K fracture parameters for laboratory size specimens is investigated. The input data required for determining double-K fracture parameters for both the specimen geometries are obtained using well known version of the Fictitious Crack Model.

Determination of Double-K Fracture Parameters of Concrete Using Split-Tension Cube: A Revised Procedure

  • Pandey, Shashi Ranjan;Kumar, Shailendra;Srivastava, A.K.L.
    • International Journal of Concrete Structures and Materials
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    • v.10 no.2
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    • pp.163-175
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    • 2016
  • This paper presents a revised procedure for computation of double-K fracture parameters of concrete split-tension cube specimen using weight function of the centrally cracked plate of finite strip with a finite width. This is an improvement over the previous work of the authors in which the determination of double-K fracture parameters of concrete for split-tension cube test using weight function of the centrally cracked plate of infinite strip with a finite width was presented. In a recent research, it was pointed out that there are great differences between a finite strip and an infinite strip regarding their weight function and the solution of infinite strip can be utilized in the split-tension specimens when the notch size is very small. In the present work, improved version of LEFM formulas for stress intensity factor, crack mouth opening displacement and crack opening displacement profile presented in the recent research work are incorporated. The results of the double-K fracture parameters obtained using revised procedure and the previous work of the authors is compared. The double-K fracture parameters of split-tension cube specimen are also compared with those obtained for standard three point bend test specimen. The input data required for determining double-K fracture parameters for both the specimen geometries for laboratory size specimens are obtained using well known version of the Fictitious Crack Model.

An Efficient Pedestrian Detection Approach Using a Novel Split Function of Hough Forests

  • Do, Trung Dung;Vu, Thi Ly;Nguyen, Van Huan;Kim, Hakil;Lee, Chongho
    • Journal of Computing Science and Engineering
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    • v.8 no.4
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    • pp.207-214
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    • 2014
  • In pedestrian detection applications, one of the most popular frameworks that has received extensive attention in recent years is widely known as a 'Hough forest' (HF). To improve the accuracy of detection, this paper proposes a novel split function to exploit the statistical information of the training set stored in each node during the construction of the forest. The proposed split function makes the trees in the forest more robust to noise and illumination changes. Moreover, the errors of each stage in the training forest are minimized using a global loss function to support trees to track harder training samples. After having the forest trained, the standard HF detector follows up to search for and localize instances in the image. Experimental results showed that the detection performance of the proposed framework was improved significantly with respect to the standard HF and alternating decision forest (ADF) in some public datasets.

FDOA Detection of Split-beam Transducers by Transfer Function Estimation (전달함수 추정에 의한 Split-beam 변환기의 FDOA 탐지)

  • Park Hae-young;Park Soon-jong;Kim Moo-joon;Kim Chun-duck;Lee Chai-bong
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.119-120
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    • 2004
  • Split-beam 트랜스듀서의 입력신호로써 Sweep 신호를 구동한 어군탐지기 SONAR에 대하여 기술한다. Sweep 신호의 대역폭은 트랜스듀서 공진 대역의 대역폭에서 주파수 이동 변환하였다. 목표 대상물의 방위각 추정은 각 수신 채널 사이의 크로스-스펙트럼을 사용하여 추정한다. 추정 방위각의 정확도는 제안한 시스템의 알고리듬에 관계하고 있다.

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New Treatment in Facial Nerve Palsy Caused by Sagittal Split Ramus Osteotomy of Mandible

  • Lee, Jin Hoon;Lee, Kyung Ah
    • Archives of Craniofacial Surgery
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    • v.18 no.1
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    • pp.65-70
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    • 2017
  • A 25-years-old woman with mandibular prognathism underwent a mandibular setback by way of mandibular sagittal split ramus osteotomy (MSSRO). After 2 days of operation, she developed difficulty of closing her right eye. The blink reflex test and motor nerve conduction study of the right orbicularis oris muscle were revealed right facial neuropathy of unknown origin and House-Brackmann facial nerve grading system (HBFNGS) grade V. For treatment, we initially prescribed oral prednisolone and nimodipine including physical therapy. The samples consisted of 11 facial nerve palsy patients caused by MSSRO and were analysed about onset of facial nerve palsy, postoperative HBFNGS, final HBFNGS, treatment method and recovery time. At 10 weeks of treatment of nimodipine, she had completely regained normal function (HBFNGS grade I) of the right facial nerve. The clinical results lead to assume a fast recovery of facial nerve function by the nimodipine medication, whereas average time of recovery is 16.32 weeks in references. Despite of the limited one patient treated, the result was very promising with respect to a faster recovery of the facial nerve function. Considering the use of nimodipine treatment for peripheral facial nerve palsy following a surgical approach with an anatomically preserved nerve can be recommended.