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ON KRAMER-MESNER MATRIX PARTITIONING CONJECTURE

  • Rho, Yoo-Mi
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.871-881
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    • 2005
  • In 1977, Ganter and Teirlinck proved that any $2t\;\times\;2t$ matrix with 2t nonzero elements can be partitioned into four sub-matrices of order t of which at most two contain nonzero elements. In 1978, Kramer and Mesner conjectured that any $mt{\times}nt$ matrix with kt nonzero elements can be partitioned into mn submatrices of order t of which at most k contain nonzero elements. In 1995, Brualdi et al. showed that this conjecture is true if $m = 2,\;k\;\leq\;3\;or\;k\geq\;mn-2$. They also found a counterexample of this conjecture when m = 4, n = 4, k = 6 and t = 2. When t = 2, we show that this conjecture is true if $k{\leq}5$.

High Temperature Creep Deformation of Mechanically Alloyed Al-Ti-Si Alloy (기계적 합금법에 의한 Al-Ti-Si합금의 고온 크립 변형)

  • Choe, Cheol-Jin;Park, Won-Uk
    • 연구논문집
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    • s.25
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    • pp.169-173
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    • 1995
  • The high temperature deformation of mechanically alloyed Al-Ti-Si alloy (Al-9.64wt% Ti-1.56wt% Si) was investigated by performing constant load compression creep tests over the temperature range of $673^\circC$K to $723^\circC$K. From the calculation based on the modified power law creep equation for dispersion strengthened alloy, the true creep activation energy, was 176kJ/mole, the true stress exponent was 4.9. Considering the value of activation energy, stress exponent, the shape of primary creep region, it could be concluded that creep deformation in the MA Al-Ti-Si alloy is controlled by dislocation climb.

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True Random Number Generation Method by using the Moire Fringe (무아레 무늬를 이용한 참 난수 생성 방법)

  • kang, Hyeok;Lee, Keun-Ho
    • Journal of Internet of Things and Convergence
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    • v.2 no.1
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    • pp.23-27
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    • 2016
  • There is Generated Moire fringe by fresnel diffraction that explains one of light's physical phenomenon and interference. In this paper, we propose to generate true random numbers by Moire fringe should be used by not pseudo-random number in cryptosystem.

Mechanism of Clonidine Permeation through Skin Based on Heterogeneous Structure (이형질적 이중구조로 분석한 피부에서의 클로니딘 투과기전)

  • Byun, Young-Ro;Kim, Young-Ha;Jeong, Seo-Young
    • Journal of Pharmaceutical Investigation
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    • v.19 no.1
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    • pp.39-46
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    • 1989
  • The clonidine transport mechanism through the skin was investigated with assumptions that epidermis is heterogeneous and two-layer membrane. Immobilization of clonidine was not found in stratum corneum but in viable epidermis. The sorption in the viable epidermis agreed with the dual sorption theory. Diffusion coefficient in stratum corneum was five order magnitude less than that in viable epidermis. In viable epidermis, the ratio of true diffusivity to apparent diffusivity increased initially then decreased as a function of clonidine concentration, and the true diffusivity was always larger than the apparent diffusivity.

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Characteristics of Animal Shoulder Models for Rotator Cuff Experiments

  • Kim, Min-Cheol;Kim, Myung-Sun
    • Clinics in Shoulder and Elbow
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    • v.18 no.1
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    • pp.52-58
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    • 2015
  • Animal shoulder models are important in the investigation of the natural history of various pathologic conditions and for evaluation of the effectiveness of different treatments and biomaterials. The characteristics of animal shoulder models that may be used for rotator cuff related experiments are different with regard to the anatomy, behavioral pattern, advantages and disadvantages in application to each other. The lower primates and all the non-primate species, except the tree kangaroo, were neither functional overhead nor had a true rotator cuff. Utilizing more advanced primates, or perhaps even the tree kangaroo would be ideal and the most relevant to man as they possess a true rotator cuff. However, ethical concerns, costs, and many limitations in obtaining primates generally preclude the use of these animals for such research. Finally we should consider the differences in comparative anatomy and behavioral pattern of each animal model during performance or interpretation of rotator cuff experiments.

Estimating Prediction Errors in Binary Classification Problem: Cross-Validation versus Bootstrap

  • Kim Ji-Hyun;Cha Eun-Song
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.151-165
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    • 2006
  • It is important to estimate the true misclassification rate of a given classifier when an independent set of test data is not available. Cross-validation and bootstrap are two possible approaches in this case. In related literature bootstrap estimators of the true misclassification rate were asserted to have better performance for small samples than cross-validation estimators. We compare the two estimators empirically when the classification rule is so adaptive to training data that its apparent misclassification rate is close to zero. We confirm that bootstrap estimators have better performance for small samples because of small variance, and we have found a new fact that their bias tends to be significant even for moderate to large samples, in which case cross-validation estimators have better performance with less computation.

Historical Inspection of the Bieberbach Conjecture and the Lu Qi-Keng Conjecture (비버바흐 추측과 루퀴켕 추측에 대한 역사적 고찰)

  • 정문자
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.13-22
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    • 2004
  • In this paper, we consider two conjectures, the Bieberbach Conjecture that was proved true and the Lu Qi-Keng Conjecture that was proved not true. We inspect them historically and introduce the interesting results. From them we find that the deep theory of mathematics comes from continuous conjectures.

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A study on the function of Gae-Hap-Chu (開闔樞) (개합추(開闔樞) 기능에 관한 연구(硏究))

  • Cho, Yong-Ju;Kim, Jin-Ju
    • Korean Journal of Acupuncture
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    • v.25 no.1
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    • pp.19-37
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    • 2008
  • The aim of this study was to understand the function & the character of meridians through the theory of Gae-Hap-Chu (開闔樞). Methods : First, We researched the meaning of Gae-Hap-Chu from Internal Classic (內經). Then, We investigated the theory of Gae-Hap-Chu (開闔樞) comparing with the principle of Oriental studies. The last, we considered the function & the character of Gae-Hap-Chu (開闔樞). Results & Conclusions : Gae-Hap-Chu represents distributing-gathering-controlling of meridians and suggests the place of meridians acting. Gae-Hap-Chu is true to the principle of Sam-Jae (三才原理) and interrelationship of Jang-Bu organ (臟腑相關) is also true to the study of Sang-Su (象數學). Descending & ascending meridians make a interrelationship of Jang-Bu organ individually. The function of gathering & distributing is expanded on Yang meridians. Heart & Gallbladder Meridians control Hap (闔) and Kidney& Triple Energizer meridians control Gae (開).

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COMPUTATIONAL SIMULATIONS OF FLUID FLOWS

  • Kunio Kuwahara;Kwak, Ho-Sang
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.15-29
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    • 1996
  • A fair portion of the dream to acquire the solutions to the Navier-Stokes equations has come true through the remarkable development of computers and solution algorithms in recent years. However, it is also true that there still remain serious hurdles in simulating general fluid flows. A few numerical trials to overcome the existing difficulties are introduced. The issues in numerical simulations of high-Reynolds-number flows, flows characterized by complex body geometry, and multi-phase flows, are scrutinized. The future of computational fluid dynamics as a promising tool for flow analyses is illuminated by this review.

Optimal maintenance procedure for multi-state deteriorated system with incomplete monitoring

  • Jin, L.;Suzuki, K.
    • International Journal of Reliability and Applications
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    • v.11 no.2
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    • pp.69-87
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    • 2010
  • The optimal replacement problem was investigated for a multi-state deteriorated system for which the true internal state cannot be observed directly except when the system breaks down completely. The internal state was assumed to be monitored incompletely by a monitor that gives information related to the true state of the system. The problem was formulated as a partially observable Markov decision process. The optimal procedure was found to be a monotone procedure with respect to stochastic increasing ordering of the state probability vectors under some assumptions. Limiting the optimal procedure to a monotone procedure would greatly reduce the tremendous amount of calculation time required to find the optimal procedure.

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