• The Journal of Korean Institute of Communications and Information Sciences
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• v.40 no.9
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• pp.1734-1740
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• 2015

This paper introduces a generalized notion, referred to as joint locality, of the usual locality in distributed storage systems and proposes a code construction of binary locally repairable codes with joint locality ($r_1$=2, $r_2$=3 or 4). Joint locality is a set of numbers of nodes for repairing various failure patterns of nodes. The proposed scheme simplifies the code design problem utilizing complete multipartite graphs. Moreover, our construction can generate binary locally repairable codes achieving (2,t)-availability for any positive integer t. It means that each node can be repaired by t disjoint repair sets of cardinality 2. This property is useful for distributed storage systems since it permits parallel access to hot data.

• Journal of Veterinary Clinics
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• v.26 no.6
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• pp.655-658
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• 2009

An 11-year-old, female, Maltese dog was presented with abdominal distension and intermittent slight lameness on left hindlimb. Palpable abdominal pain and purulent vaginal discharge were observed on physical examination. Severe leukopenia with toxic change, and azotemia, hyperphosphatemia, and hyponatremia were identified on blood profile. On radiographs and abdominal sonograms, remarkable soft tissue mass containing echogenic material deviating intestines craniodorsally compatible with pyometra. On stifle radiographs, 4-5 fragmented sesamoid bone (fabella) was identified on both stifle joint with medial patella luxation. Immediate ovariohysterectomy was performed and the patient was recovered well with normal blood work. No specific treatment was attempted to the left hindlimb showing minimal and intermittent lameness. No remarkable abnormal gait was reported for 3-month follow-up period. The fragmented lateral fabella is considered congenital multipartite of lateral fabella not related to the lameness.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.341-354
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• 2016

In this paper, the exact formulae for the generalized product degree distance, reciprocal product degree distance and product degree distance of tensor product of a connected graph and the complete multipartite graph with partite sets of sizes m₀, m₁, ⋯ , m_r−1 are obtained.

• Journal of Theoretical and Applied Mechanics
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• v.3 no.1
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• pp.45-65
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• 2002

A constitutive model on oorthotropic thermo-elasto-viscoplasticity for fiber-reinforced composite materials Is illustrated, and their thermomechanical responses are predicted with the fully-coupled finite element formulation. The unmixing-mixing scheme can be adopted with the multipartite matrix method as the constitutive model. Basic assumptions based upon the composite micromechanics are postulated, and the strain components of thermal expansion due to temperature change are included In the formulation. Also. more than two sets of mechanical variables, which represent the deformation states of multipartite matrix can be introduced arbitrarily. In particular, the unmixing-mixing scheme can be used with any well-known isotropic viscoplastic theory of the matrix material. The scheme unnecessitates the complex processes for developing an orthotropic viscoplastic theory. The governing equations based on fully-coupled thermomechanics are derived with constitutive arrangement by the unmixing-mixing concept. By considering some auxiliary conditions, the Initial-boundary value problem Is completely set up. As a tool of numerical analyses, the finite element method Is used with isoparametric Interpolation fer the displacement and the temperature fields. The equation of mutton and the energy conservation equation are spatially discretized, and then the time marching techniques such as the Newmark method and the Crank-Nicolson technique are applied. To solve the ultimate nonlinear simultaneous equations, a successive iteration algorithm is constructed with subincrementing technique. As a numerical study, a series of analyses are performed with the main focus on the thermomechanical coupling effect in composite materials. The progress of viscoplastic deformation, the stress-strain relation, and the temperature History are careful1y examined when composite laminates are subjected to repeated cyclic loading.

• East Asian mathematical journal
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• v.29 no.3
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• pp.337-347
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• 2013

For an even integer m at least 4 and any positive integer $t$, it is shown that the complete equipartite graph $K_{km(2t)}$ can be decomposed into edge-disjoint gregarious m-cycles for any positive integer ${\kappa}$ under the condition satisfying ${\frac{{(m-1)}^2+3}{4m}}$ < ${\kappa}$. Here it will be called a gregarious cycle if the cycle has at most one vertex from each partite set.

• Journal of the Korean Magnetics Society
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• v.16 no.1
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• pp.88-91
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• 2006

We present a method describing the quantum entanglement. We knows the criterion which can determine entanglement in a bipartite system. It is difficult in mixed states. Even though the entanglement criterion for multipartite systems is difficult, we offer a criterion for multiqubits and discuss entanglement of the mixed state.

• Journal of the Korean Vacuum Society
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• v.9 no.1
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• pp.1-6
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• 2000

An unexpected error is produced in calculating the transmission probability of a multipartite duct because of beam and shadow effects, if using a simple summation rule like the Oatley's equation. Particles moving in a tube are directed more or less towards the axis of the tube by the beam effect, and the length of a compound tube shortens virtually by the shadow effect originated from a reduction in the number of particles reaching the corner between two tubes of different cross-sections. Both effects make the transmission probability of the tube connected behind and consequently of the whole duct increase slightly. In this paper sources of the error in the calculation of the transmission probability are analyzed quantitatively and variations in the error depending on the dimensions of cylindrical tubes are calculated.

• Bulletin of the Korean Mathematical Society
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• v.56 no.4
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• pp.1059-1075
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• 2019

Let G be a graph with no isolated vertex. A total dominating set, abbreviated TDS of G is a subset S of vertices of G such that every vertex of G is adjacent to a vertex in S. The total domination number of G is the minimum cardinality of a TDS of G. In this paper, we study the total domination number of central graphs. Indeed, we obtain some tight bounds for the total domination number of a central graph C(G) in terms of some invariants of the graph G. Also we characterize the total domination number of the central graph of some families of graphs such as path graphs, cycle graphs, wheel graphs, complete graphs and complete multipartite graphs, explicitly. Moreover, some Nordhaus-Gaddum-like relations are presented for the total domination number of central graphs.

• Journal of Korean Orthopaedic Sports Medicine
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• v.7 no.2
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• pp.75-83
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• 2008

과사용 증후군은 정상적인 조직에 최대하 부하(submaximal stress)가 지속되어 발생하는 것이다. 이와 같은 현상은 연부조직의 접합부(junction)에서 주로 일어나며 힘의 전달이 집중되는 곳, 조직의 역학적 성질이 변화되는 곳, 그리고 성장시 빨리 변화하는 성질이 있는 곳에 주로 생긴다. 근육의 불균형이 과사용 증후군의 가장 많은 원인이다. 과거의 부상 이후 부적절한 재활치료 및 각형성 또는 회전 부정정렬(angular and rotational malalignment) 등이 과사용 증후군의 원인이 될 수 있다. 스포츠 훈련 방법의 실수로도 과사용 증후군이 생길 수 있다. 전방 슬관절 동통시 감별해야 할 질환들은 jumper's knee, 슬개건염 혹은 대퇴 사두건염, Osgood-Schlatter 병, Sinding-Larsen-Johansson 병, 슬개골 연골 연화증, 슬개골 전(prepatellar) 혹은 슬개골 하(infrapatellar) 점액낭염, Hoffa's fat pad의 염증, 그리고 특발성 전방 슬관절 동통 증후군(idiopathic anterior knee pain syndrome)등이 있다. 후방 슬관절 통증의 원인 질환으로는 만성 슬와근 염좌, 슬괵건 점액낭염, 경골 골간단의 피로 골절 등이 포함되며 외측 슬관절 통증의 원인으로는 장경대 충돌 증후군(iliotibial band friction syndrome)등이 있을 수 있다. 이외 과사용 증후군과 관련된 슬관절 통증의 원인으로 다분 슬개골(multipartite patella), 내측 경골 스트레스 증후군(medial tibial stress syndrome), 박리성 골연골염, 반월상 연골의 퇴행성 변화 등이 있을 수 있다. 과사용 증후군의 진단 및 치료의 일반적인 접근법은 다섯가지 단계의 프로그램으로 요약될 수 있다. 첫째, 원인 요소를 확인하고, 둘째, 요소를 변경시키고, 셋째, 통증을 조절하고, 넷째, 능동적 재활을 시키고, 그리고 다섯째, 유지시키는 것이다.