• Title/Summary/Keyword: Linear deviation

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A simple nonlinear model for estimating obturator foramen area in young bovines

  • Pares-Casanova, Pere M.
    • Korean Journal of Veterinary Research
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    • v.53 no.2
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    • pp.73-76
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    • 2013
  • The aim of this study was to produce a simple and inexpensive technique for estimating the obturator foramen area (OFA) from young calves based on the hypothesis that OFA can be extrapolated from simple linear measurements. Three linear measurements - dorsoventral height, craneocaudal width and total perimeter of obturator foramen - were obtained from 55 bovine hemicoxae. Different algorithms for determining OFA were then produced with a regression analysis (curve fitting) and statistical analysis software. The most simple equation was OFA ($mm^2$) = [3,150.538 + ($36.111^*CW$)] - [147,856.033/DH] (where CW = craneocaudal width and DH = dorsoventral height, both in mm), representing a good nonlinear model with a standard deviation of error for the estimate of 232.44 and a coefficient of multiple determination of 0.846. This formula may be helpful as a repeatable and easily performed estimation of the obturator foramen area in young bovines. The area of the obturator foramen magnum can thus be estimated using this regression formula.

Simultaneous HPLC Determination of Preservatives in Cosmetics (화장품중 살균ㆍ보존제의 동시분리 및 정량)

  • 양성준;김영옥;손경훈;이정표;정래석;양원준;백옥진;이현경;최상숙
    • YAKHAK HOEJI
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    • v.46 no.4
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    • pp.231-236
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    • 2002
  • A high-performance liquid chromatographic method for the simultaneous quantitative analysis of methylparaben (MP), ethylparaben (EP), propylparaben (PP), butylparaben (BP) and imidazolidinyl urea(IU) or diazolidinyl urea(DU) in cosmetics was studied by using a cyano-propyl column and 0.05M hexanesulfonic acid at 228 nm. Calibration curves were found to be linear in the 60-1000 $\mu\textrm{g}$/mL range (parabens), 100-1,250 $\mu\textrm{g}$/mL range (IU) and the 120-2000 $\mu\textrm{g}$/mL range (DU). Linear regression analysis of the data demonstrates the efficacy of the method in terms of precision and accuracy. An extraction method is developed and validated in order to apply this chromatographic method to a commercial cosmetic cream. The precision of this method, calculated as the relative standard deviation (RSD) of the recoveries (0.46-2.71%) was excellent for all compounds.

ROENTGENOCEPHALOMETRIC STUDY OF CRANIOFACIAL GROWTH BY RICKETTS ANALYSIS ON TEEN-AGER WITH NORMAL OCCLUSION IN KOREAN (Ricketts분석에 의한 청소년기 정상교합자에 대한 두부방사선 계측학적 연구)

  • Hamm, Soo-Mahn;Sohn, Byung-Hwa
    • The korean journal of orthodontics
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    • v.15 no.2
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    • pp.313-325
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    • 1985
  • This study was performed to establish the cephalometric standards and growth change of Korean teen-age group by Ricketts analysis. A roentgenocephalometric study was made from 365 subjects, that consist of 159 males, 206 females with normal occlusion, acceptable profile and no history of orthodontic and prosthodontic treatment. The results were as follows: 1. The tables of means, standard deviation from measured values were made. (male, female, both sex). 2. The tables of regression equations from measured values were made to establish the relationship between age and each item. (male, female, both sex). 3. All linear measurements of each item in male were greater than in females. 4. Items which show more linear than any other items were condyle axis, facial axis length, corpus length and upper molar position.

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Job Shop Scheduling Problems with Common Due Date (공통납기를 고려한 주문생산형 일정계획문제)

  • 김진규;이근부
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.25
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    • pp.23-31
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    • 1992
  • This paper is concerned with an n jobs one machine Job shop scheduling problems in which all jobs have a common due date and unequal penalties occur when a job is completed before or after due date. The objective is to determine an optimal sequence and the corresponding common due date that yield the global minimum value of a penalty function Then a sequence that minimize the penalty function globally is a V-shaped sequence Using the idea of linear equations and a LGP(Linear Goal Programming), this paper shows that LGP and MAD(Mean Absolute Deviation) are equivalent problems. Therefore an efficient algorithm that is developed for MAD problem holds for LGP problem and vice-versa. A numerical example to account for the algorithm is provided.

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A Study on Non-contact Measurement of 3D-Objects by Optical Probe Method (광촉침법에 의한 비접촉 3차원 형상측정에 관한 연구)

  • Kang, Young-June;Shin, Seong-Kook;Miyoshi, Takashi
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.4
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    • pp.119-126
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    • 1995
  • This paper presents a non-contact measuring system using one point measuring method to measure surface profiles of dies and clay models for practical use in the field of production engineering. The system has a laser beam probe similar to a measuring probe in a contact measuring system and CCD linear sensor used to detect 300mm measurement range, displacement of measured surfaces, from an origin. There is no mechanical interference between this measuring system and a measured surface in this system. In this measuring system, it was needed 500-600ms including data processing time to measure one point. The experiments showed that the standard deviation was 800 .mu.m and the reproducibility was also 100-210 .mu. m.

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A Study on the Inference Model of In-use Vehicles Emission Distribution according to the Vehicle Mileage (주행거리별 운행차 배출가스 분포 추정 모델에 관한 연구)

  • 김현우
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.4
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    • pp.85-92
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    • 2002
  • To investigate the safety of the in-use vehicles emission against the tail-pipe emission regulation, in-use vehicles emission trend according to vehicle mileage should be known. But it is impossible to collect all vehicles emission data In order to know that. Therefore, it is necessary to establish a statistically meaningful inference method that can be used generally to estimate in-use vehicles emissions distribution according to the vehicle mileage with relatively less in-use vehicles emission data. To do this, a linear regression model that solved the problems of data normality and common variance of error was studied. As a way that can secure the data normality, In(emission) instead of emission itself was used as a sampled data. And a reciprocal of mileage was suggested as a factor to secure common variance of error. As an example, 36 data of FTP-75 test were handled in this study. As a result, using average value and standard deviation at each mileage which were inferred from a linear regression model, probability density distribution and cumulative distribution of emissions according to the vehicle mileage were obtained and it was possible to predict the deterioration factor through full useful life mileage and also possible to decide whether those in-use vehicles will meet the tail-pipe emission regulations or not.

A Global Fairing Algorithm for B-spline Surfaces Using Non-linear Programming (비선형 계획법을 이용한 B-스플라인 곡면의 순정 알고리듬)

  • Lee, Hyun-Chan;Hong, Chung-Seong;Kim, Deok-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.1
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    • pp.1-10
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    • 2001
  • In the reverse engineering, surfaces are modeled for new products by interpolating the digitized data points obtained by measuring the existing shapes. However, many measuring or deviation errors are happened during the measuring process. If these errors are ignored, designers could get undesirable results. Therefore, it is important to handle such errors and fairing procedure with the esthetics criteria is needed during surface modeling process. This paper presents algorithms for the fairing of B-spline surfaces. The algorithms are based on automatic repositioning of control points for B-spline surfaces. New positions of the control points are determined by solving a non-linear programming of which the objective functions are derived variously using derived surfaces and constraints are established by distance measures between the original and the modified control points. Changes in surface shapes are analyzed by illustrations of their shapes and continuous plotting of gaussian and mean curvatures.

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Investigation of Low-Frequency Characteristics of Four-Switch Three-Phase Inverter

  • Yuan, Qingwei;Cheng, Chong;Zhao, Rongxiang
    • Journal of Electrical Engineering and Technology
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    • v.12 no.4
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    • pp.1471-1483
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    • 2017
  • The low-frequency characteristics of four-switch three-phase (FSTP) inverter are investigated in this paper. Firstly, a general space vector pulse width modulation (SVPWM) directly involved the neutral point voltage of DC-link is proposed, where no sector identifications and trigonometric function calculations are needed. Subsequently, to suppress the DC offset in the neutral point voltage, the relationship between the neutral point voltage and the ${\beta}-axis$ component of the load current is derived, and then a new neutral point voltage control scheme is proposed where no low pass filter is adopted. Finally, the relationship between the load power factor and the maximum linear modulation index of the FSTP inverter is revealed. Since the operational region for the FSTP inverter in low frequency is reduced by the enlarged amplitude of the neutral point voltage, a linear modulation range enlargement scheme is proposed. A permanent magnet synchronous motor with preset rotary speed serves as the low-frequency load of the FSTP inverter. Experimental results verify that the new neutral point voltage control scheme is effective in the deviation suppression of the neutral point voltage, and the proposed scheme is able to provide a larger linear operational region in low frequency.

Suggestion and Evaluation of a Multi-Regression Linear Model for Creep Life Prediction of Alloy 617 (Alloy 617의 장시간 크리프 수명 예측을 위한 다중회귀 선형 모델의 제안 및 평가)

  • Yin, Song-Nan;Kim, Woo-Gon;Jung, Ik-Hee;Kim, Yong-Wan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.4
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    • pp.366-372
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    • 2009
  • Creep life prediction has been commonly used by a time-temperature parameter (TTP) which is correlated to an applied stress and temperature, such as Larson-Miller (LM), Orr-Sherby-Dorn (OSD), Manson-Haferd (MH) and Manson-Succop (MS) parameters. A stress-temperature linear model (STLM) based on Arrhenius, Dorn and Monkman-Grant equations was newly proposed through a mathematical procedure. For this model, the logarithm time to rupture was linearly dependent on both an applied stress and temperature. The model parameters were properly determined by using a technique of maximum likelihood estimation of a statistical method, and this model was applied to the creep data of Alloy 617. From the results, it is found that the STLM results showed better agreement than the Eno’s model and the LM parameter ones. Especially, the STLM revealed a good estimation in predicting the long-term creep life of Alloy 617.

Design and Fabrication of Light-guiding Plate for a Photobioreactor by Using Sunlight and Linear Fresnel Lens (태양광과 선형 프레넬 렌즈를 이용한 광생물반응기용 도광판 설계 및 제작)

  • Kim, Hun;Shin, Seong Seon;Hwang, Min Yong;Lim, Hyon Chol;Kim, Gwang Ho;Kim, Jong Tye;Jeong, Sang Hwa;Park, Jong Rak
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.2
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    • pp.143-147
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    • 2013
  • We present results of the optical design and fabrication of a light-guiding plate (LGP) for a photobioreactor by using sunlight and a linear Fresnel lens. LGP patterns were designed by optical simulations with an illumination design tool, LightTools, and fabricated by using a computerized numerical control machine. Optical characteristics of average deviation of illuminance distribution and light throughput efficiency were measured and compared with simulation results.