• Journal of the Korean Orthopaedic Association
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• v.55 no.1
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• pp.95-100
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• 2020

In general, most knee dislocations are reduced easily by simple traction. In rare cases, closed reduction of the knee dislocation is attempted, but ruptured ligaments or muscles are stuck in the joints and cannot be reduced. The cases of this irreducible knee dislocation have sometimes been reported. The authors encountered a case of irreducible knee posterolateral rotational dislocation that was not reduced by simple traction and report it along with a review of the literature. This case provides an opportunity for clinicians to examine the clinical considerations when experiencing an irreducible knee dislocation.

• Journal of Korean Foot and Ankle Society
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• v.21 no.2
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• pp.70-74
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• 2017

Fractures and fracture-dislocations of the ankle are caused by a variety of mechanisms. In addition to fractures, injuries of soft tissue, such as ligaments, tendons, nerves, and muscles may also occur. Among these, a tibialis posterior tendon injury is difficult to be identified due to swelling and pain at the fracture site. It is difficult to observe tibialis posterior tendon injury on a simple radiograph; it is usually found during surgery by accident. There are some studies regarding irreducible ankle fracture-dislocations due to interposition of the tibialis posterior tendon; however, to the best of our knowledge, there has not been any report about interposition of injured tibialis posterior tendon. Herein, we report a case of an irreducible fracture-dislocation of the ankle due to injured tibialis posterior tendon interposition that was observed intraoperatively, interrupting the reduction of ankle fracture-dislocation. We obtained satisfactory clinical result after reduction of the trapped tendon, fracture reduction, and internal fixation; therefore, we are willing to report this case with the consent of the patient. This study was conducted with an approval from the local Institutional Ethics Review Board.

• Journal of the Korean Orthopaedic Association
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• v.56 no.3
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• pp.272-276
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• 2021

Most acute patella dislocations can be reduced closely using a spontaneous or simple maneuver, but it may not be possible if accompanied the by anomalies, such as rotation of the patella, osteophyte ridge protruding from the femur, or anatomical variations. This case report outlines irreducible acute patella dislocation with anatomical variations, a notched patella. If the reduction of an acute patella dislocation fails, an additional radiological examination and reduction under general anesthesia may be necessary with the possibility of an anatomical variant in mind.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.157-169
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• 1999

We consider the C\ulcorner-algebra O\ulcorner generated by infinite isometries \ulcorner,\ulcorner, …on Hilbert spaces with the property \ulcorner \ulcorner$\leq$1 for every n$\in$N. We present certain type of representations of C\ulcorner-algerbra O\ulcorner on a separable Hilbert space and study the conditions for irreducibility of these representations.

• Journal of the Korean Data and Information Science Society
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• v.18 no.3
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• pp.803-808
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• 2007

In present article, we consider the embeddability problems for finite dimensional irreducible modules over a complex simple Lie algebra L. For s1(n,C) modules, we determine when one can be embedded into the other if s1(n,C) modules are tensor products of fundamental modules.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.31B no.3
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• pp.60-68
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• 1994

In this paper, the multiplicative algorithm of two polynomials over finite field GF(($p^{m}$) is presented. Using the presented algorithm, the multiple-valued multiplier of the serial input-output modular structure by CCD is constructed. This multiple-valued multiplier on CCD is consisted of three operation units: the multiplicative operation unit, the modular operation unit, and the primitive irreducible polynomial operation unit. The multiplicative operation unit and the primitive irreducible operation unit are composed of the overflow gate, the inhibit gate and mod(p) adder on CCD. The modular operation unit is constructed by two mod(p) adders which are composed of the addition gate, overflow gate and the inhibit gate on CCD. The multiple-valued multiplier on CCD presented here, is simple and regular for wire routing and possesses the property of modularity. Also. it is expansible for the multiplication of two elements on finite field increasing the degree mand suitable for VLSI implementation.

• Korean Journal of Mathematics
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• v.31 no.4
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• pp.445-463
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• 2023

The paper introduces the concept of direct product and discusses some basic facts about distant ideals. We also introduce the definition of directly indecomposable in an autometrized algebra. Furthermore, we present the concept of a subdirect product and simple autometrized algebra and its behavior. We also introduce the definition of subdirectly irreducible in an autometrized algebras. In particular, we prove that every subdirectly irreducible monoid autometrized algebra is directly indecomposable. Finally, we discuss different properties of chain autometrized algebras and introduce the representability in the autometrized algebra. We also prove that if a weak chain monoid normal autometrized l-algebra is nilradical, then it is representable.

• Bulletin of the Korean Mathematical Society
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• v.45 no.1
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• pp.95-99
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• 2008

It is known that each eigenvalue of a real symmetric, irreducible, tridiagonal matrix has multiplicity 1. The graph of such a matrix is a path. In this paper, we extend the result by classifying those trees for which each of the associated acyclic matrices has distinct eigenvalues whenever the diagonal entries are distinct.

• Journal of the Korean Mathematical Society
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• v.37 no.1
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• pp.55-72
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• 2000

In this paper, we develop the Grobner-Shirshov basis theory for the representations of associative algebras by introducing the notion of Grobner-Shirshov pairs. Our result can be applied to solve the reduction problem in representation theory and to construct monomial bases of representations of associative algebras. As an illustration, we give an explicit construction of Grobner-Shirshov pairs and monomial bases for finite dimensional irreducible representations of the simple tie algebra sl$_3$. Each of these monomial bases is in 1-1 correspondence with the set of semistandard Young tableaux with a given shape.

• Journal of the Korea Society of Computer and Information
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• v.17 no.3
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• pp.1-10
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• 2012

A low-complexity Multiplication over GF(2m) and multiplier circuit has been proposed by using cyclic-shift coefficients and the irreducible trinomial. The proposed circuit has the parallel input/output architecture and shows the lower-complexity than others with the characteristics of the cyclic-shift coefficients and the irreducible trinomial modular computation. The proposed multiplier is composed of $2m^2$ 2-input AND gates and m (m+2) 2-input XOR gates without the memories and switches. And the minimum propagation delay is $T_A+(2+{\lceil}log_2m{\rceil})T_X$. The Proposed circuit architecture is well suited to VLSI implementation because it is simple, regular and modular.