• Title/Summary/Keyword: Rounding

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IEEE-754 Floating-Point Divider for Embedded Processors (내장형 프로세서를 위한 IEEE-754 고성능 부동소수점 나눗셈기의 설계)

  • 정재원;홍인표;정우경;이용석
    • Proceedings of the IEEK Conference
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    • 2000.11b
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    • pp.353-356
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    • 2000
  • In this paper, a high-performance and small-area floating-point divider, which is suitable for embedded processors and supports all rounding modes defined by IEEE 754 standard, is designed using the series expansion algorithm. This divider shares and fully utilizes the two MAC units for quadratical convergence to the correct quotient. The area increase of two MAC units due to the division is minimized in this design, so that it can be suitable for embedded processors. The tested HDL codes are synthesized and optimized with 0.35$\mu\textrm{m}$ CMOS standard celt libraries. The results show that the latency of the synthesized divider is 17.43 ㎱ in worst condition. But, the divider calculates the correct rounded quotient through only 6 cycles.

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Reproduction of Rhodochorton purpureum from Jeju Island, Korea and SanJuan Island, Washington, USA in Laboratory Culture

  • West, Kathryn A.;West, John A.;Lee, Yong-Pil
    • ALGAE
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    • v.21 no.1
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    • pp.103-107
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    • 2006
  • Rhodochorton purpureum 4187 from Jeju Island, Korea may have a sexual life history similar to that seen by other investigators working on other strains around the world. In culture short days (8:16, 11:13, 12:12 LD) at 10-15°C induced tetrasporogenesis. Discharged spores were observed with time lapse videomicroscopy. They showed a slight amoeboid movement for 2-3 minutes before rounding up and settling. Tetrasporelings develop into male and female gametophytes. No fertilisation was observed. Tetrasporangia often were borne on carpogonial clusters of females but no discharged spores were seen. Isolate 4241 from San Juan I., Washington, USA grew well in most conditions tested but did not reproduce in short days (8:16, 11:13, 12:12 LD) at 10-15°C.

A Comparative Study of the Fatigue Strength on Cruciform Joints by Local Stress Methods (십자형 용접부 피로강도 산정을 위한 국부응력법의 비교연구)

  • Yang, Park-Dal-Chi;Ahn, Jung-Hyun
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.4
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    • pp.573-579
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    • 2010
  • The notch effects on the fatigue strength of welded joints are both stress concentration and fatigue strength reduction. In the notch stress approach, the notch effects are usually approximated by introducing weld-bead parameters for the local detailed weld joints. In this paper, well-known notch stress approaches - critical distance method, area method and fictitious rounding method are presented for the fatigue strength of cruciform joints. The estimated results of the present methods are applied to the experiments performed in this study and reported in the references. The results of the application show that the fatigue-life scatterness of the experimental data expressed in the nominal stress is significantly reduced by introducing the effective fatigue stress of the present study.

Analysis of Some Strange Behaviors of Floating Point Arithmetic using MATLAB Programs (MATLAB을 이용한 부동소수점 연산의 특이사항 분석)

  • Chung, Tae-Sang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.428-431
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    • 2007
  • A floating-point number system is used to represent a wide range of real numbers using finite number of bits. The standard the IEEE adopted in 1987 divides the range of real numbers into intervals of [$2^E,2^{E+1}$), where E is an Integer represented with finite bits, and defines equally spaced equal counts of discrete numbers in each interval. Since the numbers are defined discretely, not only the number representation itself includes errors but in floating-point arithmetic some strange behaviors are observed which cannot be agreed with the real world arithmetic. In this paper errors with floating-point number representation, those with arithmetic operations, and those due to order of arithmetic operations are analyzed theoretically with help of and verification with the results of some MATLAB program executions.

A study on characteristic of inductance according to shape of air-Hap on Spoke type motor (Spoke type motor의 공극 형상에 따른 인덕턴스 특성 연구)

  • Han, Kwang-Kyu;Wang, Song;Pyo, Se-Ho;Jang, Ki-Bong;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2008.10c
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    • pp.41-43
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    • 2008
  • This paper deals with a study on characteristic of inductance on spoke type motor. The rotor and stator is redesigned as rounding teeth of stator and pole surface of rotor. Result, a shape of air-gap is changed and the cogging torque is reduced greatly. In consequence, the inductance of spoke type motor is changed. The Finite Element Analysis(FEM) is used to characteristics.

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Studies on the Computerization of Design of Experiments(II) (실험계획법의 전산화에 관한 연구(II))

  • Jeong, Su-Il
    • Journal of Korean Society for Quality Management
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    • v.19 no.1
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    • pp.163-169
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    • 1991
  • This paper studies computer programming for Two-Way Layout with Multiple Observations - Fixed Model using the subroutines of the former paper. The following items are considered in the PC computer programming: * significant digits in the computation of Sum of Squares * containing the necessary F-distribution values in the program * including the necessary estimation after the Analysis of Variance * following the rules of KS A 0021 in rounding off digits etc. The running results of Analysis of Variation Table and Estimations of a fictitious example is added with the parts of PC program. It should be mentioned that the main purpose of this paper is in the arousing of the discussion about significant digits concept in the PC computer programming for various kinds of Statistical Methods.

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Design of ventilated disc for Improvement using reverse engineering (역설계를 이용한 상용 벤틸레이티드 디스크의 성능향상을 위한 설계)

  • Park I.B.;Lee S.D.;Kwon T.W.;Lee S.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.383-384
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    • 2006
  • Ventilated disc was improved for reducing judder and heat. But the crack among vent holes occurs due to stress concentration. We investigate the stress distribution of vent holes. The vent holes with shape of a right angle, a chamfer and rounding was analyzed. The result of FEA was that rounded vent holes have a minimum stress. Also Maximum stress distributed within holes. Therefore We suggest that the rounded vent holes is good to reduce the crack.

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EFFICIENT LATTICE REDUCTION UPDATING AND DOWNDATING METHODS AND ANALYSIS

  • PARK, JAEHYUN;PARK, YUNJU
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.19 no.2
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    • pp.171-188
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    • 2015
  • In this paper, the efficient column-wise/row-wise lattice reduction (LR) updating and downdating methods are developed and their complexities are analyzed. The well-known LLL algorithm, developed by Lenstra, Lenstra, and Lov${\acute{a}}$sz, is considered as a LR method. When the column or the row is appended/deleted in the given lattice basis matrix H, the proposed updating and downdating methods modify the preconditioning matrix that is primarily computed for the LR with H and provide the initial parameters to reduce the updated lattice basis matrix efficiently. Since the modified preconditioning matrix keeps the information of the original reduced lattice bases, the redundant computational complexities can be eliminated when reducing the lattice by using the proposed methods. In addition, the rounding error analysis of the proposed methods is studied. The numerical results demonstrate that the proposed methods drastically reduce the computational load without any performance loss in terms of the condition number of the reduced lattice basis matrix.

Printed Korean Characters Recognition Using Neural Networks Based on Feature Extraction (피쳐 추출에 기반을 둔 신경회로망을 이용한 인쇄체 한글 문자 인식)

  • Kim, Woo-Tae;Yoon, Byung-Sik;Chien, Sung-Il
    • Annual Conference on Human and Language Technology
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    • 1991.10a
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    • pp.287-299
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    • 1991
  • 본 논문은 하드웨어 구현이 가능한 신경 회로망을 구성하여 한글 문자 인식을 수행하였다. 먼저 입력 장치로부터 받아들인 문자 영상은 인식 속도를 높히기 위하여 특별한 전처리 과정 없이 직접 피쳐를 추출하였으며 추출한 피쳐로는 하드웨어 구현이 용이한 교차 피쳐와 투영 피쳐를 이진화로 코딩하였다. 신경 회로망의 하드웨어 구현을 가능하게 하기위해서 정수형 연결 강도와 비선형 Hard-limit 함수를 가지고 학습을 하는 Rounding 학습 방법을 도입하여 학습시켰으며 한글의 구조적 특성을 이용하여 한글을 유형별로 Module화 및 Submodule화 작업을 수행한 다음 인식하는 계층적인 문자 인식 시스템을 구성하였다. 그리고 이러한 방법을 이용하여 한글 문자 인식용 CMOS 신경회로망 Chip을 설계하였다.

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Studies on the Computerization of Reliability Paper (Ⅵ) (신뢰성 확률지의 전산화에 관한 연구 (Ⅵ))

  • 정수일
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.50
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    • pp.373-380
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    • 1999
  • This paper summerizes the former 5 papers that studied computer programming for the estimation of the Weibull, Extreme value, Hazard, Normal and Log-normal parameters which have a close relation with the reliability of the various kinds of industrial products. Probability paper is very commonly used in estimating the parameters, however, it is very hard to neglect the errors in plotting the data, and especially in drawing the regression line. The main purpose of this paper is to reduce these errors and to help the engineers to use the parameters in improving the reliability of their prod- ucts. The following parts are included in the computer programming with the em- phases on significant digits and rounding of numerical values : $\bullet$ data input part for various cases $\bullet$ parameter estimation part $\bullet$ printing part for input data $\bullet$ printing part for the results $\bullet$ printing part for the graphic(probability paper). And the running results(monitor displays) of the program for a fictitious example of Weibull distribution is given for the interested ones.

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