• 제목/요약/키워드: square root

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Development of a Predictive Mathematical Model for the Growth Kinetics of Listeria monocytogenes in Sesame Leaves

  • Park, Shin-Young;Choi, Jin-Won;Chung, Duck-Hwa;Kim, Min-Gon;Lee, Kyu-Ho;Kim, Keun-Sung;Bahk, Gyung-Jin;Bae, Dong-Ho;Park, Sang-Kyu;Kim, Kwang-Yup;Kim, Cheorl-Ho;Ha, Sang-Do
    • Food Science and Biotechnology
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    • 제16권2호
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    • pp.238-242
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    • 2007
  • Square root models were developed for predicting the kinetics of growth of Listeria monocytogenes in sesame leaves as a function of temperature (4, 10, or $25^{\circ}C$). At these storage temperatures, the primary growth curves fit well ($R^2=0.898$ to 0.980) to a Gompertz equation to obtain lag time (LT) and specific growth rate (SGR). The square root models for natural logarithm transformations of the LT and SGR as a function of temperature were obtained by SAS's regression analysis. As storage temperature ($4-25^{\circ}C$) decreased, LT increased and SGR decreased, respectively. Square root models were identified as appropriate secondary models for LT and SGR on the basis of most statistical indices such as coefficient determination ($R^2=0.961$ for LT, 0.988 for SGR), mean square error (MSE=0.l97 for LT, 0.005 for SGR), and accuracy factor ($A_f=1.356$ for LT, 1.251 for SGR) although the model for LT was partially not appropriate as a secondary model due to the high value of bias factor ($B_f=1.572$). In general, our secondary model supported predictions of the effects of temperature on both LT and SGR for L. monocytogenes in sesame leaves.

개선된 뉴톤-랍손 역수 및 역제곱근 알고리즘 (An Improved Newton-Raphson's Reciprocal and Inverse Square Root Algorithm)

  • 조경연
    • 한국정보통신학회논문지
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    • 제11권1호
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    • pp.46-55
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    • 2007
  • 다음은 부동소수점 역수 및 역제곱근 계산에 많이 사용하는 뉴톤-랍손 알고리즘은 일정한 횟수의 곱셈을 반복하여 계산한다. 본 논문에서는 뉴톤-랍손 알고리즘의 반복 과정의 오차를 예측하여 오차가 정해진 값보다 작아지는 시점까지 반복 연산하는 개선된 뉴톤-랍손 알고리즘을 제안한다. 본 논문에서 제안한 알고리즘은 입력 값에 따라서 곱셈 횟수가 다르므로, 평균 곱셈 횟수를 계산하는 방식을 유도하고, 여러 크기의 근사 테이블에서 단정도실수 및 배정도실수의 역수 및 역제곱근 계산에 필요한 평균 곱셈 횟수를 산출한다. 이들 평균 곱셈 횟수를 종래 알고리즘과 비교하여 본 논문에서 제안한 알고리즘의 우수성을 증명한다. 본 논문에서 제안한 알고리즘은 오차가 일정한 값보다 작아질 때까지만 반복 연산을 수행하므로 역수 및 역제곱근 계산기의 성능을 높일 수 있고 최적의 근사 테이블을 구성할 수 있다. 본 논문의 연구 결과는 디지털 신호처리, 컴퓨터 그라픽스, 멀티미디어, 과학 기술 연산 등 부동소수점 계산기가 사용되는 분야에서 폭 넓게 사용될 수 있다.

수학적 정량평가모델을 이용한 게맛살 부패균의 성장 예측모델의 개발 (Development of Predictive Growth Model of Imitation Crab Sticks Putrefactive Bacteria Using Mathematical Quantitative Assessment Model)

  • 문성양;백장미;신일식
    • 한국식품과학회지
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    • 제37권6호
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    • pp.1012-1017
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    • 2005
  • 게맛살로부터 분리한 주요 부패세균은 내열성 포자를 형성하는 Bacillus subtilis와 Bacillus licheniformis로 동정되었다. 게맛살의 제조 공정상 가열 처리 과정에서 B. subtilis와 B. Licheniformis 등 내열성 포자를 형성하는 균을 완전히 사멸시키기는 어려우며, 살아남은 포자는 유통과정 중, 적정 온도와 시간이 경과함에 따라, 영향 세포로 발아하여 게맛살의 부패에 영향을 미친다. 이러한 부패세균의 증식에 있어서 초기균수와 온도의 영향을 조사한 결과, 초기균수에 따른 최대증식속도상수(k)와 유도기(LT), 세대시간(GT)은 유의적인 차이가 없었으며, 온도의 영향이 지배적인 것으로 나타났다. 또한 본 실험에서 유도기(LT)와 온도의 관계는 $L(hr)=2.5219e^{-0.2467{\cdot}T}$의 관계가 성립하며, square root model과 polynomial model을 이용, 온도와 초기균수에 대한 최대증식속도상수(k)를 정량화한 정량평가모델을 개발하였으며, 그 식은 다음과 같다. $$Square\;root\;model:\;{\sqrt{k}}=0.0267\;(T-3.5089)$$ $$Polynomial model:\;k=-0.2160+0.0241T-0.01999A_0$$ 온도와 초기균수에 대한 최대증식속도상수(k)의 정량평가모델로부터 특정온도와 초기 균수에서 최대증식속도상수(k)를 계산할 수 있으며, 계산된 최대증식속도상수(k)를 균의 기본 증식 모델인 Gomperz model에 적용하여 균의 성장을 예측할 수 있었다.

하악 제1대구치 치수저의 해부학적 고찰 (A STUDY ON THE ANATOMY OF THE PULP CHAMBR FLOOR OF THE PERMANENT MANDIBULAR FIRST MOLAR)

  • 권혁춘
    • 대한치과의사협회지
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    • 제22권5호통권180호
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    • pp.423-427
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    • 1984
  • A total of 114 extracted human mandibular first molars were used to study the configuration of the floor of the chamber. The specimens were ground and the pulp chamber was examined with a magnifier and explored with sharp explorer. The study showed the shape of the pulp chamber, number of root canals, and the type of canal orifice. The results were as follows; 1. In so far as observing the shape of the pulp chamber of the teeth, 58.8% of the teeth were square, 34.2% were triangle and 7.0% were ovoid shape. 2. 58.8% of the specimens have 4 root canal orifices, 34.2% have 3 root canal orifices, 7.0% have 2 root canal orifices. 3. 41.2% of the specimens show 'H' shape, 17.6% show 'Square' shape, 31.6% show 'T' shape, 2.0% show 'reverse-T' shape and 7.0% show 'I' shape.

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하악(下顎) 제2대구치(第二大臼齒) 치수저(齒髓底)의 해부학적(解剖學的) 고찰(考察) (A STUDY ON THE ANATOMY OF THE PULP CHAMBER FLOOR OF THE PERMANENT MANDIBULAR SECOND MOLAR)

  • 권혁춘
    • Restorative Dentistry and Endodontics
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    • 제12권1호
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    • pp.165-169
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    • 1986
  • A total of 114 extracted human mandibular 2nd molars were used to study the configuration of the floor of the chamber. The specimens were ground and the pulp chamber was examined with a magnifier and explored with sharp explorer. The study showed the shape of the pulp chamber, number of root canals, and the type of canal orifice. The results were as follows, 1. In so far as observing the shape of the pulp chamber of the teeth, 47.4% of the teeth were square, 42.9% were triangle and 9.7% were ovoid shape. 2. 35% of the samples had 2 root canal orifices, 62% had 3 root canal orifices, 3% had 4 root canal orifices. 3. 3% of the specimens showed 'H' shape, 5% showed 'Square' shape, 51% showed 'T' shape, 1% showed 'reverse-T' shape, 35% showed 'I' shape and 5% showed the specific 'C' shape.

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SYMMETRIC DUALITY FOR NONLINEAR MIXED INTEGER PROGRAMS WITH A SQUARE ROOT TERM

  • Kim, Do-Sang;Song, Young-Ran
    • 대한수학회지
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    • 제37권6호
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    • pp.1021-1030
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    • 2000
  • We formulate a pair of symmetric dual mixed integer programs with a square root term and establish the weak, strong and converse duality theorems under suitable invexity conditions. Moreover, the self duality theorem for our pair is obtained by assuming the kernel function to be skew symmetric.

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Accurate CMOS-based square root extractor

  • Riewruja, Vanchai;Guntapong, Rojanakorn;Kaewpoonsuk, Anucha;Fongsamut, Chalermpan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.256-258
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    • 1999
  • In this article, an integrable circuit technique for implementing square root extractor for analog signal processing is described. The realization method makes use of the characteristic of MOS translinear principle. The proposed scheme achieves a wide dynamic range, wide-band capability and high accuracy. Simulation results demonstrating the performance of the proposed scheme are also presented.

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Forecasting Internet Traffic by Using Seasonal GARCH Models

  • Kim, Sahm
    • Journal of Communications and Networks
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    • 제13권6호
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    • pp.621-624
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    • 2011
  • With the rapid growth of internet traffic, accurate and reliable prediction of internet traffic has been a key issue in network management and planning. This paper proposes an autoregressive-generalized autoregressive conditional heteroscedasticity (AR-GARCH) error model for forecasting internet traffic and evaluates its performance by comparing it with seasonal autoregressive integrated moving average (ARIMA) models in terms of root mean square error (RMSE) criterion. The results indicated that the seasonal AR-GARCH models outperformed the seasonal ARIMA models in terms of forecasting accuracy with respect to the RMSE criterion.

가변주파수 3상 정현파 신호의 최대전압 검출기 (A Peak Detector for Variable Frequency Three-Phase Sinusoidal Signals)

  • 김홍렬
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권2호
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    • pp.210-215
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    • 1999
  • The proposed detector is consists of three-phase sinusoidal signal generator and peak detector. This peak detector can detect the peak voltage value at the state of variable frequency. In experi-ment three-phase sinusoidal signals are generated from D/A converter using IBM PC and deliv-ered to the peak detector. Each signals are squared by multiplier and summed up Peak value is the square root of summed value extracted by square root circuit.

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An IMM Approach for Tracking a Maneuvering Target with Kinematic Constraints Based on the Square Root Information Filter

  • Kim, Kyung-Youn;Kim, Joong-Soo
    • Journal of Electrical Engineering and information Science
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    • 제1권2호
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    • pp.39-44
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    • 1996
  • An efficient interacting multiple mode(IMM) approach for tracking a maneuvering target with kinematic constraints is described based on the square root information filter(SRIF). The SRIF is employed instead of the conventional Kalman filter since it exhibits more efficient features in handling the kinematic constraints and improved numerical characteristics. The kinematic constraints are considered in the filtering process as pseudomeasurements where the degree of uncertainty is represented by the magnitude of the pseudomeasurement noise variance. The Monte Carlo simulations for the constant speed, maneuvering target are provided to demonstrate the improved tracking performance of the proposed algorithm.

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