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The General Mornent of Non-central Wishart Distribution

  • Chul Kang;Kim, Byung-Chun
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.393-406
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    • 1996
  • We obtain the general moment of non-central Wishart distribu-tion, using the J-th moment of a matrix quadratic form and the 2J-th moment of the matrix normal distribution. As an example, the second moment and kurtosis of non-central Wishart distribution are also investigated.

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AFFINE YANG-MILLS CONNECTIONS ON NORMAL HOMOGENEOUS SPACES

  • Park, Joon-Sik
    • Honam Mathematical Journal
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    • v.33 no.4
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    • pp.557-573
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    • 2011
  • Let G be a compact and connected semisimple Lie group, H a closed subgroup, g (resp. h) the Lie algebra of G (resp. H), B the Killing form of g, g the normal metric on the homogeneous space G/H which is induced by -B. Let D be an invarint connection with Weyl structure (D, g, ${\omega}$) in the tangent bundle over the normal homogeneous Riemannian manifold (G/H, g) which is projectively flat. Then, the affine connection D on (G/H, g) is a Yang-Mills connection if and only if D is the Levi-Civita connection on (G/H, g).

Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory

  • Zenkour, A.M.;Aljadani, M.H.
    • Advances in aircraft and spacecraft science
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    • v.5 no.6
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    • pp.615-632
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    • 2018
  • Mechanical buckling of a rectangular functionally graded plate is obtained in the current paper using a refined higher-order shear and normal deformation theory. The impact of transverse normal strain is considered. The material properties are microscopically inhomogeneous and vary continuously based on a power law form in spatial direction. Navier's procedure is applied to examine the mechanical buckling behavior of a simply supported FG plate. The mechanical critical buckling subjected to uniaxial and biaxial compression loads are determined. The numerical investigation are compared with the numerical results in the literature. The influences of geometric parameters, power law index and different loading conditions on the critical buckling are studied.

A MULTILEVEL BLOCK INCOMPLETE CHOLESKY PRECONDITIONER FOR SOLVING NORMAL EQUATIONS IN LINEAR LEAST SQUARES PROBLEMS

  • Jun, Zhang;Tong, Xiao
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.59-80
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    • 2003
  • An incomplete factorization method for preconditioning symmetric positive definite matrices is introduced to solve normal equations. The normal equations are form to solve linear least squares problems. The procedure is based on a block incomplete Cholesky factorization and a multilevel recursive strategy with an approximate Schur complement matrix formed implicitly. A diagonal perturbation strategy is implemented to enhance factorization robustness. The factors obtained are used as a preconditioner for the conjugate gradient method. Numerical experiments are used to show the robustness and efficiency of this preconditioning technique, and to compare it with two other preconditioners.

Effects of Two Kifferent Kinds of Socks on Physiologrical Responses (2종류의 양말착의행동이 인체생리반응에 미치는 효과)

  • 김희은;권오경
    • Journal of the Korean Society of Clothing and Textiles
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    • v.23 no.2
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    • pp.242-249
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    • 1999
  • The purpose of this study was to investigate two different kinds of socks on physiological responses at an ambient temperature of 35$\pm$1$^{\circ}C$ and relative humidity of 50$\pm$5% Five healthy women wearing normal socks or toes socks participated as the subjects. Rectal temperature skin temperatures sweat rate blood pressure pulse rate and questionnaire wee measured. Rectal temperature skin temperature sweat rate blood pressure pulse rate and questionnaire were measured. Rectal temperature and mean skin temperature were lower after exercise at wearing toes socks . Sweat rate was higher at wearing normal socks and blood pressure and pulse rate were tend to higher at wearing toes socks. Thermal comfort temperature sensation and humidity sensation were better wearing toes socks. Thermal comfort temperature sensation and humidity sensation were better wearing toes socks than wearing normal socks but wearing comfort was better at wearing normal socks. These results will be discussed form the viewpoint of thermoregulation AVA(Arterio venous Anastomosis) and count current heat exchange.

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Design of High-speed Elliptic Curve Cryptosystem using normal basis (Normal basis를 이용한 고속 타원곡선암호(ECC)시스템의 설계)

  • Yun, Yeo-Jun;Kim, Jong-Tae
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.773-776
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    • 2003
  • This paper presents new hardware implementation of the ECC(Elliptic Curve Cryptography) algorithm that is improved in speed and stability. We proposed new datapath that changed square's position so that we can reduce required number of cycles for addition operation between two points by more than 30%. We used Massey-Omura parallel multiplier adopted Normal basis for fast scalar multiplications. Also the use of the window non-adjacent form (WNAF) method can reduce addition operation of each other different points. We implemented ECC system with GF($2^{196}$), and this system was designed and verified by VHDL.

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Simultaneous Profiling Analysis of Fatty Acids in Serum of Normal Controls and Patients with Osteoporosis by Gas Chromatography-Mass Spectrometry

  • Choi, Young-Mie;Paik, Man-Jeong;Lee, You-Mi;Lim, Seung-Gil;Kim, Kyoung-Rae
    • Proceedings of the PSK Conference
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    • 2003.10b
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    • pp.213.3-213.3
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    • 2003
  • Osteoporosis is the most common form of metabolic bone disease and is an important cause of morbidity and mortality in the elderly and especially in postmenopausal women. The possible beneficial action of essential fatty acids and their metabolites both in the prevention and treatment of osteoporosis needs attention. Therefore in this study, fatty acid levels of the normal groups was compared with those of patients. And then star symbol plots were drawn based on the fatty acids values of patients normalized to the corresponding normal group values to transform into visual patterns discriminating from the normal pattern. (omitted)

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Strength prediction of steady laminar fluid with normal velocity distribution: A simplified truncation technique

  • Mohamed A. Khadimallah;Muzamal Hussain;Elimam Ali;Abdelouahed Tounsi
    • Advances in concrete construction
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    • v.15 no.5
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    • pp.313-319
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    • 2023
  • In this paper, the analytic solution has been found by using truncation approach. With the help of suitable substitution, different physical parameters are yielded in their non-dimensional form. The governing boundary layer partial differential equations are reduced to a set of ordinary ones by using appropriate similarity transformations. The velocity profile across the domain have also been taken into account. The effect normal velocity profiles buoyancy parameter, slip parameter, shrinking parameter, Casson fluid parameter on the heat profile. It is found that the normal velocity profiles rise with the buoyancy parameter and for the slip parameter. It is observed that the normal velocity profile decreases with the increase of shrinking parameter. The reverse behiour is found for the Casson fluid parameter. The results are numerically computed, analyzed and discussed. For the efficiency of present model, the results are compared with earlier investigations.

Systematic Review of Assessment Tools for Praxis Ability of Sensory Integrative Function : Provide Range of Assessment Tools in Foreign and Domestic Normal Children (실행능력 평가도구에 대한 체계적 고찰 : 정상아동에서 국내.외 평가도구별 수행범위 제시)

  • Hong, Eunkyoung;Kim, Kyeong-Mi
    • The Journal of Korean Academy of Sensory Integration
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    • v.11 no.2
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    • pp.41-56
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    • 2013
  • Objective : The purpose of this study tried to present the performed average and range through systematic review about assessment tools that measures the praxis ability of sensory integrative function for foreign and domestic normal children. Methods: With making use of Medline, PubMed, Ovid, Eric, the Library of Congress, National Science and Technology Information Center, Kiss, RISS, and the Google search engine, we searched the name of assessment tool on the basis of the framework of the theory of sensory integration. Target paper was thesis and Journal published from January 2000 to April 2011. Results: Total of 24 papers were retrieved, used assessment tools were Bruininks-Oseretsky Test of Motor Proficiency (BOTMP), Bruininks-Oseretsky Test of Motor Proficiency, Short Form (BOTMP-SF), Bruininks-Oseretsky Test of Motor Proficiency, Second Edition (BOT-2), Bruininks-Oseretsky Test of Motor Proficiency, Second Edition, Short Form (BOT-2-SF), Clinical Observations of Motor and Postural Skills (COMPS), Motor Assessment Battery for Children (MABC), Clinical Test of Sensory Interaction with Balance (CTSIB), and subtest of Sensory Integration and Praxis Test (SIPT). We presented the average and range of assessment tools applied to normal children in each country. Conclusion: A performed result in other cultural and domestic normal children which this study presented will provide a standard in comparison with performance of children with disabilities who are the actual clinical evaluation.

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A Study on Resisitance Performance of the Straight-Framed V-Bottom Hull Forms with High Displacement-Length Ratio (고(高) 배수량일장(排水量一長) 비(比) V-형(型) 직선늑골선형(直線肋骨船型)의 추진저항성능(推進抵抗性能)에 관(關)하여)

  • Kyu-Jong,Cho
    • Bulletin of the Society of Naval Architects of Korea
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    • v.6 no.1
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    • pp.25-34
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    • 1969
  • From viewpoints of over-all ship economy the straight framed V-bottom hull forms with chines are considered to be attractive even for usual commercial vessels, because increments of resistance over that of round hull forms, if any, can be well compensated with reduction in construction cost.[1] To investigate the influences of both prismatic coefficient and chine elevation on resistance performance, three models of straight-framed V-bottom hull forms which are similar to Prof. C. Ridgely-Nevitt's W-18, W-8, and W-20[2],[3] in size and hull form coefficients were tested at the SNU Ship Model Towing Tank for resistance measurements. They are of Cp=0.60, 0.65 and 0.70 and of ${\Delta}/(0.01L)^3=300$. Influence of variation of chine elevation on resistance performance were observed with the test results obtained at normal condition, and at the trimed by the stern by 2% and 4% of $L_{bp}$ at normal condition under same displacement. The hull form characteristics are shown in Table 1, and in Fig. 1, 2, 3, 4 and 5. The test results are shown in Fig 8, 9 and 10 in the form of Cr vs. $V/\sqrt{L}$ curves taking Cp as a parameter for normal condition, trim by the stern in 2% and 4% $L_{bp}$ at normal condition , respectively. Cr vs. $V/\sqrt{L}$ curves taking trim condition as a parameter are also shown in Fig 11, 12 and 13 for Cp=0.60 and 0.70, respectively. The best and the worst trim condition at given $V/\sqrt{L}$ in viewpoint of Cr are plotted for each Cp-value as shown in Fig 14, 15 and 16. From the above results the following conclusions are derived: (1) In general, the resistance performance of the straight-framed V-bottom hull forms are not inferior to those of round hull forms. At a certain range of $V/\sqrt{L}$ the former gives less resistance than the latter. (2) Regarding influences of Cp on Cr, it is observed that, at $V/\sqrt{L}$ less than about 0.925, the greater Cp-value gives the more increment of Cr, and that, at $V/\sqrt{L}$ greater than about 0.925 the smaller Cp-value gives the more increment of Cr. It is also noteworthy that the model of Cp=0.70 has remarkable hump on Cr vs. $V/\sqrt{L}$ curve between $V/\sqrt{L}=0.80$ and 0.90. (3) For higher speed within the test range, the chine elevation having the steeper slope around bow and the easier slope around amidship and stern, refered to watering, give the better results in resistance performance. (4) Assuming the chine elevations adopted for the tested models were not of the best, we would expect further improvement of resistance performance for such form. Hence, a systematic study on chine elevation is very disirable to prepare design data of general purpose for the such hull forms.

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