• Korean Journal of Mathematics
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• v.31 no.4
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• pp.433-444
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• 2023

Given a function f analytic in open disk centred at origin of radius unity and satisfying the condition |f(z)/g(z) - 1| < 1 for a analytic function g with certain prescribed conditions in the unit disk, radii constants R are determined for the values of Rzf'(Rz)/f(Rz) to lie inside the domain enclosed by the curve |w² - 1| = 1 (lemniscate of Bernoulli). This, in turn, provides a partial solution to the conjectures and problems for determination of sharp bounds R for such functions f.

• Proceedings of KOSOMES biannual meeting
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• 2005.11a
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• pp.165-170
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• 2005

A basic study for the development of a disk type oil skimmer for a tank lorry, compares via experiments to the oil recovery differences by material between the existing oil skimmer disk and several discs which oil adhesion are possible. The experiment results in this study are summarized as follows: In all the disks, the mass of recovery of bunker-A oil was greater than light oil. In light oil, there was nearly no differences in the mass of oil recovery by disk material, but in the case of bunker A oil, recovery efficiency showed big differences depending on the disk materials. For light oil, the differences in the mass of oil recovery per unit of operation time from the initial time zone were hardly shown. However, the mass of recovery of bunker-A oil linearly increased from the initial operation time in all the disks and the increase shaped a slow moving trend as time went on; therefore, the mass of oil recovery per unit of operation time showed differences depending on time. This result shows that oil viscosity has an effect on the disk recovery efficiency. When comparing the mass of pure oil recovery and the mass of water recovery in the total mass of recovery by bunker-A oil, there was no difference in the mass of oil recovery between the window-aluminum material disk and the disks consisting of other materials, but the mass of water recovery of the former was relatively very small. This shows the most ideal result in view of oil recovery efficiency that considers the mass of water recovery. In conclusion, it was found that aluminum is the most advantageous as the material for tank lorry oil skimmer disk.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.781-794
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• 2008

Let $\mathbb{H}_g$ and $\mathbb{D}_g$ be the Siegel upper half plane and the generalized unit disk of degree g respectively. Let $\mathbb{C}^{(h,g)}$ be the Euclidean space of all $h{\times}g$ complex matrices. We present a partial Cayley transform of the Siegel-Jacobi disk $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$ onto the Siegel-Jacobi space $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$ which gives a partial bounded realization of $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$ by $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. We prove that the natural actions of the Jacobi group on $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. and $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$. are compatible via a partial Cayley transform. A partial Cayley transform plays an important role in computing differential operators on the Siegel Jacobi disk $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. invariant under the natural action of the Jacobi group $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$ explicitly.

• Journal of Korean Neurosurgical Society
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• v.47 no.5
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• pp.370-376
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• 2010

Objective : Although unilateral transforaminal lumbar interbody fusion (TLIF) is widely used because of its benefits, it does have some technical limitations. Removal of disk material and endplate cartilage is difficult, but essential, for proper fusion in unilateral surgery, leading to debate regarding the surgery's limitations in removing the disk material on the contralateral side. Therefore, authors have conducted a randomized, comparative cadaver study in order to evaluate the efficiency of the surgery when using conventional instruments in the preparation of the disk space and when using the recently developed high-pressure water jet system, SpineJet$^{TM}$ XL. Methods : Two spine surgeons performed diskectomies and disk preparations for TLIF in 20 lumbar disks. All cadaver/surgeon/level allocations for preparation using the SpineJet$^{TM}$ XL (HydroCision Inc., Boston, MA, USA) or conventional tools were randomized. All assessments were performed by an independent spine surgeon who was unaware of the randomizations. The authors measured the areas (cm2) and calculated the proportion (%) of the disk surfaces. The duration of the disk preparation and number of instrument insertions and withdrawals required to complete the disk preparation were recorded for all procedures. Results : The proportion of the area of removed disk tissue versus that of potentially removable disk tissue, the proportion of the area of removed endplate cartilage, and the area of removed disk tissue in the contralateral posterior portion showed 74.5 ${\pm}$ 17.2%, 18.5 ${\pm}$ 12.03%, and 67.55 ${\pm}$ 16.10%, respectively, when the SpineJet$^{TM}$ XL was used, and 52.6 ${\pm}$ 16.9%, 22.8 ${\pm}$ 17.84%, and 51.64 ${\pm}$ 19.63%, respectively, when conventional instrumentations were used. The results also showed that when the SpineJet$^{TM}$ XL was used, the proportion of the area of removed disk tissue versus that of potentially removable disk tissue and the area of removed disk tissue in the contralateral posterior portion were statistically significantly high (p < 0.001, p < 0.05, respectively). Also, compared to conventional instrumentations, the duration required to complete disk space preparation was shorter, and the frequency of instrument use and the numbers of insertions/withdrawals were lower when the SpineJet$^{TM}$ XL was used. Conclusion : The present study demonstrates that hydrosurgery using the SpineJet$^{TM}$ XL unit allows for the preparation of a greater portion of disk space and that it is less traumatic and allows for more precise endplate preparation without damage to the bony endplate. Furthermore, the SpineJet$^{TM}$ XL appears to provide tangible benefits in terms of disk space preparation for graft placement, particularly when using the unilateral TLIF approach.

• The KIPS Transactions:PartD
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• v.14D no.6
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• pp.689-700
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• 2007

Organizations and customers lose if business activities we discontinued by an incident of information systems under the current business environment because they pursue real time enterprise and on demand enterprise. The loss includes the intangible decline in brand image, customer separation, and the tangible loss such as decrease in business profits. Thus. it is necessary to have preparedness in advance and mitigation for minimization of a loss due to the business discontinuity and information system's operational risks. This paper suggests the mitigation model for minimizing the incidents of disk unit in information system's operational risks. The model will be represented by a network model which is composed of the three items as following: (1) causes, attributes, indicators of an operational risk, (2) a periodic time through an analysis of historical data, (3) an index or a regulation related to the examination of causes of an operational risk.

• The Transactions of the Korea Information Processing Society
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• v.4 no.3
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• pp.811-820
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• 1997

Disk arrays are using to enhance data trandfer rate and I/O performance in multimedia applications which need a high-performance storage device with large storage capacity and high-speed network.As performance varies with configuration and data layout scheme,disk array characteristic variables must be approrpriately deter-mined in desibning disk array archetecture for a speciffic applicatoin. In this paper,in order to design a disk array architecturte as a storage server of a small-scale VOD system,we evaluate performance of a disk array to chose the number of disks in the array,disk array cinfiguration,a degree of declustering for a given data block size of continous media file system and I/D request size through simulation.Simulation result shows that RAID level 5 with 5 disks ios a suitable candidate for the disk array architecture which privides MPEG-2 files with a rate of 6 Mbps,Moreover,we whow that stripe unit is 64 KB and a layout scheme is contigous placement.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.21 no.11
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• pp.2103-2108
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• 2017

For n points $p_i$ on the m-dimensional plane $R^m$ and a fixed range r, consider a set $T_i$ containing points the distances from $p_i$ of which are less than or equal to r. In case m=1, $T_i$ is an interval on a line, it is a circle on a plane when m=2. For the vertices corresponding to the sets $T_i$, there is an edge between the vertices if the two sets intersect. Then this graph is called an intersection graph G. For m=1 G is called a proper interval graph and for m=2, it is called an unit disk graph. In this paper, we are concerned in the intersection graph G(r) when r changes. In particular, we consider the problem to find the minimum r such that G(r)is connected. For this problem, we propose an O(n) algorithm for the proper interval graph and an $O(n^2{\log}\;n)$ algorithm for the unit disk graph. For the dynamic environment in which the points on a line are added or deleted, we give an O(log n) algorithm for the problem.

• Proceedings of the KIEE Conference
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• 2003.07b
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• pp.988-990
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• 2003

Disk type Single Phase SRM(Switched Reluctance Motor) can be used axial and radial direction magnetic flux. Therefore, the energy density per unit of volume is high and the axis can be shorter than that of any other motor. In this paper, the flux-linkage was measured according as rotor positions of disk type single phase SRM, which is designed and fabricated in previous studies. From the measured data, we got the magnetization curves, inductance profile, co-energy and torque. Also, we compared the value of the measurement with the value of analysis through 3D FEM simulation.

• The Pure and Applied Mathematics
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• v.27 no.4
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• pp.157-169
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• 2020

In this paper, we improve a new boundary Schwarz lemma, for analytic functions in the unit disk. For new inequalities, the results of Rogosinski's lemma, Subordinate principle and Jack's lemma were used. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

• Journal of Energy Engineering
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• v.8 no.1
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• pp.143-149
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• 1999

The mounting technology of ceramic candle elements utilizing disk spring was tested in a hot bench unit. Seven SiC candle elements were fixed in three groups by 2, 2, and 3 elements per group. And its performance was investigated in a hot gas stream using oil burned-exhaust gas. The experimental results showed that this mounting method gave a good performance enough to be useful for the particulate removal in the integrated gasification combined cycle (IGCC). Some operational characteristics of the groupfilter were observed.