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CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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Lasing Characteristics of MQW Waveguide-type Depleted Optical Thristor Operating at 1.561um (1.561um에서 동작하는 MQW 도파로형 Depleted Optical Thyristor의 레이징 특성 분석)

  • Choi Woon Kyung;Kim Doo-Gun;Choi Young-Wan;Lee Seok;Woo Deok-Ha;Kim Sun-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.1
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    • pp.29-34
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    • 2004
  • We present the first demonstration of waveguide-type depleted optical thyristor laser diode with InGaAs/InGaAsP multiple quantum well structure. The measured switching voltage and current are 4.63 V and 10uA respectively. The holding voltage and current are respectively 0.59 V, 20uA. The lasing threshold current at the temperature of $25^{\circ}C$ and $10^{\circ}C$ are 111 mAA and 72.5 mA, respectively. The lasing wavelength is centered at 1.561um at a bias current equal to 1.41 times threshold.

A Study of Establishment and application Algorithm of Artificial Intelligence Training Data on Land use/cover Using Aerial Photograph and Satellite Images (항공 및 위성영상을 활용한 토지피복 관련 인공지능 학습 데이터 구축 및 알고리즘 적용 연구)

  • Lee, Seong-hyeok;Lee, Moung-jin
    • Korean Journal of Remote Sensing
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    • v.37 no.5_1
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    • pp.871-884
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    • 2021
  • The purpose of this study was to determine ways to increase efficiency in constructing and verifying artificial intelligence learning data on land cover using aerial and satellite images, and in applying the data to AI learning algorithms. To this end, multi-resolution datasets of 0.51 m and 10 m each for 8 categories of land cover were constructed using high-resolution aerial images and satellite images obtained from Sentinel-2 satellites. Furthermore, fine data (a total of 17,000 pieces) and coarse data (a total of 33,000 pieces) were simultaneously constructed to achieve the following two goals: precise detection of land cover changes and the establishment of large-scale learning datasets. To secure the accuracy of the learning data, the verification was performed in three steps, which included data refining, annotation, and sampling. The learning data that wasfinally verified was applied to the semantic segmentation algorithms U-Net and DeeplabV3+, and the results were analyzed. Based on the analysis, the average accuracy for land cover based on aerial imagery was 77.8% for U-Net and 76.3% for Deeplab V3+, while for land cover based on satellite imagery it was 91.4% for U-Net and 85.8% for Deeplab V3+. The artificial intelligence learning datasets on land cover constructed using high-resolution aerial and satellite images in this study can be used as reference data to help classify land cover and identify relevant changes. Therefore, it is expected that this study's findings can be used in the future in various fields of artificial intelligence studying land cover in constructing an artificial intelligence learning dataset on land cover of the whole of Korea.

A Design of 1V Delta-Sigma Modulator (델타-시그마 변조기의 1V 설계)

  • 김정민;임신일;최종찬
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.87-90
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    • 2002
  • This paper describes design technique of switched-capacitor 1V delta-sigma modulator. To solve the incomplete switching operation at low voltage, bootstrapping technique is used. For PMOS input pair of 1V operational amplifier, simple common mode level down technique is used. Designed 2nd order single loop modulator has an oversampling ratio of 64 and obtains a peak SNR of 71dB, a dynamic range of 73 dB with the power consumption of 350uW at 1V power supply.

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A Safety Assessment of Splice of 6/10[kV] Class CV Cables with Different Conductor Size (다른 굵기의 6/10[kV]급 CV 케이블 직선접속부 안전성 평가)

  • Jung, Jong-Wook;Kim, Sun-Gu;Jung, Jin-Soo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.10
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    • pp.78-84
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    • 2010
  • This paper describes the safety assessment of power cable splices connecting different sized 6/10[kV] class power cables. To assess the safety, AC withstand voltage tests, partial discharge tests and impulse tests were carried out to the cable splice specimens and thermal rise due to overload and cross section of joint were examined as well. As a result, a breakdown due to the $4.5[U_0](27[kV_{ac}])$ application could not found for 5 minutes. Under $1.73[U_0](10.4[kV_{ac}])$ application, partial discharges of 4~8[pC] were detected. In impulse tests, all the specimens withstood to the standard waveforms of $75[kV_{peak}](1.2{\times}50[{\mu}s])$ without any breakdowns. In addition, the temperature on the splice rose by $3[^{\circ}C]$ when the 200[A] flew through the splice for 20minutes, however the thermal rise of $3[^{\circ}C]$ was considered due to the atmospheric temperature. After all the electrical tests, the cross section of the splice was visually examined. The conditions of the conductors of both $185[mm^2]$ and $240[mm^2]$ were good.

Electrosorption of U(IV) by Electochemically Modified Activated Carbon Fibers

  • Jung, Chong-Hun;Oh, Won-Zin;Lee, Yu-Ri;Park, Soo-Jin
    • Carbon letters
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    • v.6 no.1
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    • pp.25-30
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    • 2005
  • The electrosorption of U(VI) from waste water was carried out by using an activated carbon fiber (ACF) felt electrode in a continuous electrosorption cell. In order to enhance the electrosorption capacity at a lower potential, the ACF was electrochemically modified in an acidic and a basic solution. Pore structure and functional groups of the electrochemically modified ACF were examined, and the effects of the modification conditions were studied for the adsorption of U(VI). Specific surface area of all the ACFs was decreased by this modification. The amount of the acidic functional groups decreased with a basic modification, while the amount increased a lot with an acidic modification. The electrosorption capacity of U(VI) decreased on the acid modified electrode due to the shielding effect of the acidic functional groups. The base modified electrode enhanced the capacity due to a reduction of the acidic functional groups. The electrosorption amount of U(VI) on the base modified electrode at .0.3 V corresponds to that of the as-received ACF electrode at .0.9 V. Such a good adsorption capacity was due to a reduction of the shielding effect and an increase of the hydroxyl ions in the electric double layer on the ACF surface by the application of negative potential.

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A study on the pinch-off characteristics for Double Cate MOSFET in nuo structure (나노 구조 Double Gate MOSFET의 핀치오프특성에 관한 연구)

  • 고석웅;정학기
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.7
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    • pp.1074-1078
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    • 2002
  • In this paper, we designed double gate(DG) MOSFET structure which has main gate(MG) and two side gates(SG). We have simulated using TCAD simulator U .WOSFET have the main gate length of %m and the side gate length of 70nm. Then, u'e have investigated the pinch-off characteristics, drain voltage is changed from 0V to 1.5V at VMG=1.5V and VSG=3.0V. In spite of the LMG is very small, we have obtained a very good pinch-off characteristics. Therefore, we know that the DG structure is very useful at nano scale.

The Liability for Unsafe Medical Product and The Preemption Clause of Medical Device Act (의료기기의 결함으로 인한 손해배상책임과 미국 연방법 우선 적용 이론에 관하여)

  • Kim, Jang Han
    • The Korean Society of Law and Medicine
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    • v.15 no.2
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    • pp.63-89
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    • 2014
  • In 1976, the Dalkon Shield-intrauterine device injured several thousand women in U.S.A. which caused the changes of medical deivce regulation. The Medical Device Regulation Act or Medical Device Amendments of 1976 (MDA) was introduce. As part of the process of regulating medical devices, the MDA divides medical devices into three categories. The class II, and III devices which have moderate harm or more can use the section 510 (k), premarket notification process if the manufacturer can establish that its device is "substantially equivalent" to a device that was marketed before 1976. In 21 U.S.C. ${\S}$ 360k(a), MDA introduced a provision which expressly preempts competing state laws or regulations. After that, the judicial debates had began over the proper interpretation and application of Section 360(k) In February 2008, the U.S. Supreme Court ruled in Riegel v. Medtronic that manufacturer approved by the Food and Drug Administration (FDA)'s pre-market approval process are preempted from liability, even when the devices have defective design or lack of labeling. But the Supreme Court ruled in Medtronic Inc. v. Lora Lohr that the manufactures which use the section 510 (k) process cannot be preempted and in Bausch v. Stryker Corp. that manufactures which violated the CGMP standard are also liable to the damage of patient at the state courts. In 2009, the Supreme Court ruled in Wyeth v. Levine that patients harmed by prescription drugs can claim damages in state courts. This may cause a double standard between prescription drugs and medical devices. FDA Preemption is the legal theory in the United States that exempts product manufacturers from tort claims regarding Food and Drug Administration approved products. FDA Preemption has been a highly contentious issue. In general, consumer groups are against it while the FDA and pharmaceutical manufacturers are in favor of it. This issues also influences the theory of product liability of U.S.A. Complete immunity preemption is an issue need to be more declared.

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A NOTE ON WITT RINGS OF 2-FOLD FULL RINGS

  • Cho, In-Ho;Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.121-126
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    • 1985
  • D.K. Harrison [5] has shown that if R and S are fields of characteristic different from 2, then two Witt rings W(R) and W(S) are isomorphic if and only if W(R)/I(R)$^{3}$ and W(S)/I(S)$^{3}$ are isomorphic where I(R) and I(S) denote the fundamental ideals of W(R) and W(S) respectively. In [1], J.K. Arason and A. Pfister proved a corresponding result when the characteristics of R and S are 2, and, in [9], K.I. Mandelberg proved the result when R and S are commutative semi-local rings having 2 a unit. In this paper, we prove the result when R and S are 2-fold full rings. Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is nondegenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$ (V, R) induced by B is an isomorphism), and with a quadratic mapping .phi.:V.rarw.R such that B(x,y)=(.phi.(x+y)-.phi.(x)-.phi.(y))/2 and .phi.(rx)= $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U(R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$, .., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2, we reserve the notation [ $a_{11}$, $a_{22}$] for the space.the space.e.e.e.

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Study concerning the Scope of Merchandise under the U.S. Antidumping Law through Case (사례를 통한 미반덤핑법상 상품의 범위에 관한 연구)

  • Ha, Choong-Lyong;Han, Na-Hee
    • International Commerce and Information Review
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    • v.11 no.3
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    • pp.265-286
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    • 2009
  • Dumping describes the practice of international price discrimination whereby a producer or exporter sells merchandise in an export market at less than fair value. The U.S. antidumping statutory framework is embodied in the Tariff Act of 1930. The Act states that "dumping" refers to the sale or likely sale of goods at less than fair value. 19 U.S.C. $\S$ 1677(34). The Commerce Department and the Commission are jointly responsible for administering the antidumping law. Commerce determines whether foreign merchandise is being sold in the United States at less than fair value, and the Commission determines whether a domestic industry producing a product like the imported merchandise has been materially injured or threatened with material injury by reason of imports of that product. Recently, in U.S. v. Eurodif, the Supreme Court held the question whether the Commerce can reasonably determin that foreign merchandise has been sold within the meaning of the antidumping law in U.S.. Should 19 U.S.C. Section 1673, which calls for "antidumping" duties on foreign goods, but not services, that sell at less than fair value in the U.S., apply to imported low enriched uranium? Yes. In a unanimous opinion written by Justice David H. Souter, the Supreme Court held that the Commerce Department's view of imported low enriched uranium, as the sale of goods rather than services, was permissible. It reasoned that, since 19 U.S.C. Section 1673 did not specify whether it applied to the production of low enriched uranium, it was left to the reasonable interpretation of the Commerce Department to determine. Accordingly, the Court found the Commerce Department interpreted the statute reasonably.

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