• 제목/요약/키워드: Normal Distance

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MULTIVARIATE JOINT NORMAL LIKELIHOOD DISTANCE

  • Kim, Myung-Geun
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1429-1433
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    • 2009
  • The likelihood distance for the joint distribution of two multivariate normal distributions with common covariance matrix is explicitly derived. It is useful for identifying outliers which do not follow the joint multivariate normal distribution with common covariance matrix. The likelihood distance derived here is a good ground for the use of a generalized Wilks statistic in influence analysis of two multivariate normal data.

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KOLMOGOROV DISTANCE FOR MULTIVARIATE NORMAL APPROXIMATION

  • Kim, Yoon Tae;Park, Hyun Suk
    • Korean Journal of Mathematics
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    • 제23권1호
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    • pp.1-10
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    • 2015
  • This paper concerns the rate of convergence in the multidimensional normal approximation of functional of Gaussian fields. The aim of the present work is to derive explicit upper bounds of the Kolmogorov distance for the rate of convergence instead of Wasserstein distance studied by Nourdin et al. [Ann. Inst. H. Poincar$\acute{e}$(B) Probab.Statist. 46(1) (2010) 45-98].

Preschool children medium-long distance stereoscopic vision testing

  • Weiqiang, Zhao;Xiaowang, Qiao;Singh, Sukh Mahendra
    • Advances in Traditional Medicine
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    • 제4권2호
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    • pp.120-123
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    • 2004
  • To test preschool children's medium- long distance stereoscopic vision normal average value, and intermittent strabismus children,s medium-long distance stereoscopic vision acuteness is the goal of this study. The software of random stereoscopic vision and graph, which is developed by Hu-Chong etc has been used, to test 414 cases normal preschool children and 19 cases intermittent exotropia childrens medium-long distance (1-5 m) stereoscopic vision (before operation and after operation). The normal average value of preschool children's medium-long distance stereoscopic vision was achieved. Intermittent exotropia children's stereoscopic vision acuteness was declined with the increase of distance. This method can provide reference as screening abnormal stereoscopic vision during scientific research and clinical work.

FIXED POINT THEOREMS FOR SOME CONTRACTIVE MAPPINGS OF INTEGRAL TYPE WITH w-DISTANCE

  • LIU, ZEQING;WANG, HAOYUE;LIU, NA;KANG, SHIN MIN
    • Journal of applied mathematics & informatics
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    • 제37권5_6호
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    • pp.411-427
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    • 2019
  • The existence, uniqueness and iterative approximations of fixed points for some contractive mappings of integral type defined in complete metric spaces with w-distance are proved. Four examples are given to demonstrate that the results in this paper extend and improve some well-known results in the literature.

닻 운용 시뮬레이션에 의한 선체운동 제어에 관한 연구 (A Study on the Control of Ship Maneuvering by the Simulation of Anchor Dredging)

  • 윤순동
    • 해양환경안전학회지
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    • 제8권2호
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    • pp.9-15
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    • 2002
  • Ship operators use anchor dredging for the collision avoidance or safety of ship handling in a harbour or narrow channel. This paper clarifies the technique of the anchor dredging known as a common sense for. the seafarers A mathematical model at low speed range is established for the estimation of ship motion under the assumed environment, simulate the advance speed , and turning ability under the anchor dredging or not. The results shows good agreement with the conventional seamanship and their experiences as follows. Ahead speed used the anchor dredging is slower(speed reduction ratio:40%) than the normal ahead speed and the stopping distance is shorter (distance reduction ratio:40%)than the normal ahead distance without the anchor dredging.. Turning speed used anchor dredging is slower(speed reduction ratio:72%)than the normal ahead speed and the tactical diameter is shorter(distance reduction ratio:24%)than the diameter by the normal turning without the anchor dredging.

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닻을 운용한 선체운동 제어 (A Study on the Control of Ship Motion using the Anchor Dredging)

  • 윤순동
    • 해양환경안전학회:학술대회논문집
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    • 해양환경안전학회 2002년도 추계학술발표회
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    • pp.127-134
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    • 2002
  • Ship operators are used to dredge anchor for the collision avoidance or safety of ship handling in a harbour or narrow channel. This paper clarifies the technique using tile anchor dredging known as a common sense for the seafarers. A mathematical model at low speed range has been established for the estimation of ship motion under the assumed environment , simulate the advance speed , and turning ability under the anchor dredging or not. The results shows good agreement with the conventional seamanship and their experiences as follows. Ahead speed used the anchor dredging is slower(speed reduction ratio:40%) than the normal ahead speed and the stopping distance is shorter (distance reduction ratio:40%)than the normal ahead distance without the anchor dredging. Turning speed used anchor dredging is slower(speed reduction ratio:72%)than the normal ahead speed and the tactical diameter is shorter(distance reduction ratio:24%)than the diameter by the normal turning without the anchor dredging.

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한국인 정상교합자의 악태모형위에서의 안와평면과 상악견치 사이의 거리 (THE DISTANCE BETWEEN THE UPPER CANINE AND THE ORBITAL PLANE IN GNATHOSTATIC MODEL OF KOREANS WITH NORMAL OCCLUSION)

  • 이수인;최목균;김광현
    • 대한치과교정학회지
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    • 제5권1호
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    • pp.51-56
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    • 1975
  • In orthodontic field, the study on gnathostatic model is very important to the diagnosis and analysis of malocclusion. The purpose of this study is to observe that relation of orbital plane and upper canine in Koreans. We selected 230 cases with normal occlusion, 124 male and 106 female cases aged from 12 years to 25 years, to prepare 230 gnathostatic models, and measured the distance from midpoint of mesio-distal distance of upper canine to orbital plane in gnathostatic model. The results obtained were as follows: 1) The mean value of the distance from upper canine to orbital plane showed no significant change with age. 2) The mean value of the distance from the upper canine to orbital plane was -3.11mm in male and -3.84mm in female. 3) The orbital plane passed through the upper canine in normal occlusion of Koreans.

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INVERSE CONSTRAINED MINIMUM SPANNING TREE PROBLEM UNDER HAMMING DISTANCE

  • Jiao, Li;Tang, Heng-Young
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.283-293
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    • 2010
  • In this paper, inverse constrained minimum spanning tree problem under Hamming distance. Such an inverse problem is to modify the weights with bound constrains so that a given feasible solution becomes an optimal solution, and the deviation of the weights, measured by the weighted Hamming distance, is minimum. We present a strongly polynomial time algorithm to solve the inverse constrained minimum spanning tree problem under Hamming distance.

산모에서 피부로부터 요추부 경막외강까지의 거리 (Distance from Skin to Lumbar Epidural Space in Obstetric Parturients)

  • 윤진석;조성경;정병기;박영옥;김영수;하정성
    • The Korean Journal of Pain
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    • 제9권1호
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    • pp.130-134
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    • 1996
  • Background: This study was designed to determine the distance from skin to lumbar epidural space in obstetric parturients and whether weight, height, or PI (ponderal index, $kg/m^2$) might influence the epidural depth. Methods: 71 obstetric patients undergoing elective cesarean section during epidural anesthesia in L2-3 level were partitioned into groups according to their prepregnant BMI(body mass index), and in each group weight, height, PI, epidural depth were measured. Results: All patients were classified as underweight(n=18), normal(n=49), overweight(n=4) and no one was partitioned into obese group. the distance from skin to lumbar epidural space was found to be 3.7 cm(underweight), 4.1 cm(normal), 4.7 cm(over weight) and total mean distance was found to be 4.0 cm. The epidural depth had correlation with weight and height in underweight, and weight and PI in normal, but had no correlation with any measurements in overweight group. Conclusion: These results suggest body weight may be a useful parameter for predicting the distance from skin to lumbar epidural space in underweight and normal weight obstetric parturients.

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The earth mover's distance and Bayesian linear discriminant analysis for epileptic seizure detection in scalp EEG

  • Yuan, Shasha;Liu, Jinxing;Shang, Junliang;Kong, Xiangzhen;Yuan, Qi;Ma, Zhen
    • Biomedical Engineering Letters
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    • 제8권4호
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    • pp.373-382
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    • 2018
  • Since epileptic seizure is unpredictable and paroxysmal, an automatic system for seizure detecting could be of great significance and assistance to patients and medical staff. In this paper, a novel method is proposed for multichannel patient-specific seizure detection applying the earth mover's distance (EMD) in scalp EEG. Firstly, the wavelet decomposition is executed to the original EEGs with five scales, the scale 3, 4 and 5 are selected and transformed into histograms and afterwards the distances between histograms in pairs are computed applying the earth mover's distance as effective features. Then, the EMD features are sent to the classifier based on the Bayesian linear discriminant analysis (BLDA) for classification, and an efficient postprocessing procedure is applied to improve the detection system precision, finally. To evaluate the performance of the proposed method, the CHB-MIT scalp EEG database with 958 h EEG recordings from 23 epileptic patients is used and a relatively satisfactory detection rate is achieved with the average sensitivity of 95.65% and false detection rate of 0.68/h. The good performance of this algorithm indicates the potential application for seizure monitoring in clinical practice.