• Title/Summary/Keyword: addition and subtraction

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ENTROPV ARITHMETIC OPERAT10NS OF FUZZY NUMBERS (퍼지넘버의 엔트로피 연산에 관한 연구)

  • Hong, Dug-Hun;Han, Seung-Soo;Song, Kyung-Bin
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.2876-2878
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    • 1999
  • There have been several tipical methods being used to measure the fuzziness (entropy) of fuzzy sets. Pedrycz is the original motivation of this paper. This paper studies the entropy variation on the fuzzy numbers with arithmetic operations(addition, subtraction, multiplication). It is shown that through the arithmetic operations, the entropy of the resultant fuzzy number has the arithmetic relation with the entropy of each original fuzzy number. This paper generalize earlier results of Pedrycz [FSS 64(1994) 21-30] and Wang and Chiu [FSS 103(1999) 443-455].

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구장산술을 활용한 수학 교육 -분수의 사칙 계산과 관련하여-

  • 장혜원
    • Journal for History of Mathematics
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    • v.15 no.2
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    • pp.101-112
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    • 2002
  • Gu-Jang-San-Sul is a book of Chinese ancient mathematics and has had an impact on Korean mathematics. The book is organized into nine chapters and each chapter is composed of problems, answers, and their computation algorithms. The contents reflect the practicality of Chinese mathematics. Especially the first chapter covers the computation of fractions for land surveying. This paper suggests how the computation methodology is used in teaching fractions for primary school students. Five strategies for fractions related to the reduction, addition, subtraction, multiplication, and division are followed by: 1) developing the ability to apply rules to problems by practicing the computation process according to the given algorithm; 2) developing the communication skill by comparing the differences of various computation algorithms; 3) setting computation problems; 4) understanding the characteristics of terminology in mathematics; and 5) being exposed to new ideas in mathematics.

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IEEE Standard Floating Poing ALU with 60MHz Clock Frequency (60MHz Clock 주파수의 IEEE 표준 Floating Point ALU)

  • Yong Surk Lee
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.11
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    • pp.915-922
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    • 1991
  • This research paper presents an ALU unit using 1.0$\mu$m CMOS technology capable of doing IEEE standard single and double precision floating poing calculation within 32ns (2 clock) at 60 MHz clock speed. This 32ns speed was achieved by using 9ns 1's complement arithmetic 54 bit carry select adder instead of previous 2's complement adders. On the first cycle, this adder is used for addition or subtraction and the second cycle uses this adder for rounding. This reduces the number of required adders from two to one. Speed improvement is 2 to 5 times compared with previous 40MHz design. Design goal was 60MHz, however, this unit is functioning at 80 MHz at room temperature.

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A Study on the Extraction of Formal Vocabularies related with Form Generation in Space Design (형태생성과 연관된 공간디자인의 형태어휘 추출)

  • Choi, Eun-Hee
    • Korean Institute of Interior Design Journal
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    • v.16 no.6
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    • pp.65-76
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    • 2007
  • This research is progressed on the premise that there is a basic rule to organize a space in form generation process. In this study first, antecedent researches are inquired, and formal vocabularies related with form generation in space design are founded. Generally in the organizing process of spatial form designer could have selectively combined formal vocabularies consciously or unconsciously, and these formal vocabularies related with form generation are classified with 'formal elements' and 'spatial relationships'. First, as formal elements '2-dimensional line elements(rectilinear, oblique-linear, curvilinear)' are chosen. Second, formal vocabularies of 'spatial relationships' are 37 extracted from literatures related with architectural language or spatial language. Among them there are several vocabularies with similar or same meaning, they are unitized to representative one. Thereupon 20 vocabularies are finally selected as the formal vocabularies of 'spatial relationships', they are addition, subtraction, intersection, superimposition, juxtaposition, shifting, rotation, reflection, scaling, stretching, shear, bending, folding, distortion, articulation, deconstruction, symmetry, repetition, proportion, and asymmetry.

A study on the Si Solar cell's conversion efficiency by 80keV Small Electron-beam irradiation (80keV 소형 전자빔을 이용한 Si 태양전지의 변환 효율 특성에 관한 연구)

  • Yoon Jeong-Phil;Cho Kyung-Jae;Gang Byong-Bok;Cho Seong-Oh;Cha In-Su
    • Proceedings of the KIPE Conference
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    • 2002.11a
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    • pp.59-61
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    • 2002
  • This research investigates electron beam to specification energy to Module that was generalized and schematized difference of curved line after existing V-I efficiency characteristic curve and irradiation. And will analyze cause of Si crystal Solar cell's efficiency addition and subtraction by 80keV electron beam investigation.

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A design of Floating Point Arithmetic Unit for Geometry Operation of Mobile 3D Graphic Processor (모바일 3D 그래픽 프로세서의 지오메트리 연산을 위한 부동 소수점 연산기 구현)

  • Lee, Jee-Myong;Lee, Chan-Ho
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.711-714
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    • 2005
  • We propose floating point arithmetic units for geometry operation of mobile 3D graphic processor. The proposed arithmetic units conform to the single precision format of IEEE standard 754-1985 that is a standard of floating point arithmetic. The rounding algorithm applies the nearest toward zero form. The proposed adder/subtraction unit and multiplier have one clock cycle latency, and the inversion unit has three clock cycle latency. We estimate the required numbers of arithmetic operation for Viewing transformation. The first stage of geometry operation is composed with translation, rotation and scaling operation. The translation operation requires three addition and the rotation operation needs three addition and six multiplication. The scaling operation requires three multiplication. The viewing transformation is performed in 15 clock cycles. If the adder and the multiplier have their own in/out ports, the viewing transformation can be done in 9 clock cycles. The error margin of proposed arithmetic units is smaller than $10^{-5}$ that is the request in the OpenGL standard. The proposed arithmetic units carry out operations in 100MHz clock frequency.

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On Improving the Effects of Varying the Window Length on Speech Energy Computation (음성 에너지계산에서 창함수-길이 변화영향의 개선에 관한 연구)

  • Bae, Myung-Jin;Ann, Sou-Guil
    • The Journal of the Acoustical Society of Korea
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    • v.9 no.2
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    • pp.34-41
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    • 1990
  • The energy parameter is widely used in pre-processing of speech signals, because it represent the phoneme characteristics of well But, the energy parameter is affected by the window length during the extracting. Thus, in this paper, the window length effects are studied in detail, and we proposed a new energy extraction algorithm that reduces the length effects. The energy contours with this algorithm are well representing for the characteristics of speech phonemes. And the computations to implement the algorithm are only required one subtraction, one addition, and two comparison aperation per speech sample.

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Personal Computer Aided 3-D Model Generation (I) (PC를 이용한 3차원 입체형상 모델생성 연구 (I))

  • 변문현;오익수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.1
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    • pp.59-66
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    • 1989
  • The purpose of this study is to develop a personal computer aided 3-D geometric modeller. To perform this study, we set up a cube, cylinder, and a prism as primitives in the first segment of this study. By modelling the 3-D object through their transformation, addition, and subtraction, we proved the validity of the developed algorithm and its computer program. Some examples show the results of applying the program to model a few simple shapes of the machine parts. These results met the first aim of this study.

Fast and Accurate Algorithm for Motion Estimation in Mobile Environments (모바일 환경에서 모션 추정을 위한 빠르고 정확한 알고리즘)

  • Kim, Jun-Ho;Oh, Il-Seok
    • The Journal of the Korea Contents Association
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    • v.10 no.3
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    • pp.1-9
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    • 2010
  • In this paper, we propose a new method of improving accuracy of motion estimation in mobile environments, compared with Rosten's algorithm. The present method selects corners as feature points. The Rosten's algorithm uses simple addition and subtraction to detect the corners. Although it has the advantage of faster processing speed, Rosten's algorithm has a drawback of low performance in motion estimation. We use the NCC(Normalized Cross Correlation) coefficients to match the corners, and remove in two steps the outliers of inaccurate matching corners. We compare the proposed algorithm with Rosten's algorithm by applying both to the real images. We find that the proposed method shows better performance than Rosten's algorithm in motion estimation. In addition, we implement the present method on mobile devices and confirm that it works in mobile environments in real time.

An Excess-3 Code Adde $r_{}$tracter Design Decimal Computation (십진수 계산을 위한 3초과 부호 가감산기 설계)

  • 최종화;한선경;유영갑
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.40 no.6
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    • pp.32-38
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    • 2003
  • An excess-3 code adde $r_tracter circuit is proposed for human friendly decimal computation. Carry lookahead (CLA) circuitry can be used to enhance decimal computation speed. The proposed excess-3 adde $r_tracter employs improved CLA and compensation circuitry recoding computation delay. The circuitry used for addition is used for subtraction without further modification. Substantial speed improvement is obtained compared to conventional designs.signs.