• Korean Journal of Mathematics
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• 제31권1호
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• pp.75-94
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• 2023

We aim in this article to establish variants of the Hadamard inequality for Caputo fractional derivatives. We present the Hadamard inequality for strongly (s, m)-convex functions which will provide refinements as well as generalizations of several such inequalities already exist in the literature. The error bounds of these inequalities are also given by applying some known identities. Moreover, various associated results are deduced.

• 한국초등수학교육학회지
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• 제21권1호
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• pp.23-47
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• 2017

본 연구에서 초등학교에서 분수에 대한 사칙연산의 학습을 마친 시점에 있는 6학년 학생들을 대상으로 학업성취수준에 따라 분수의 사칙연산 과정에서 발생하는 오류는 어떤 것들이 있는지 분수의 사칙연산 유형별로 오답률을 분석하였고, 학업성취수준에 따라 각각의 분수의 오류유형에는 어떤 차이가 있는지 알아보았다. 분수의 사칙연산에서 진분수 사이의 계산보다는 대분수가 같이 있는 계산에서 가장 높은 오답률을 보이고 있다. 특히 동분모 분수의 계산보다는 이분모 분수에서의 계산에서 높은 오답률을 보이고 있는데 학생들이 이분모 분수에서 통분을 하는 것을 어려워하는 것으로 나타났다. 분수의 곱셈에서는 상 수준과 중 수준의 학생들은 계산오류에서 가장 높은 오답률을 보이고 있으며, 하수준의 학생들은 역수오류가 가장 높은 오답률을 보이고 있다.

• JSTS:Journal of Semiconductor Technology and Science
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• 제13권5호
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• pp.473-481
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• 2013

A fractional folding analog-to-digital converter (ADC) with a novel arithmetic digital encoding technique is discussed. In order to reduce the asymmetry errors of the boundary conditions for the conventional folding ADC, a structure using an odd number of folding blocks and fractional folding rate is proposed. To implement the fractional technique, a new arithmetic digital encoding technique composed of a memory and an adder is described. Further, the coding errors generated by device mismatching and other external factors are minimized, since an iterating offset self-calibration technique is adopted with a digital error correction logic. A prototype 8-bit 1GS/s ADC has been fabricated using an 1.2V 0.13 um 1-poly 6-metal CMOS process. The effective chip area is $2.1mm^2$(ADC core : $1.4mm^2$, calibration engine : $0.7mm^2$), and the power consumption is 88 mW. The measured SNDR is 46.22 dB at the conversion rate of 1 GS/s. Both values of INL and DNL are within 1 LSB.

• 한국통신학회논문지
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• 제31권1C호
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• pp.46-54
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• 2006

The design method of synthetic aperture radar processor (SARP) in the critical design stage is to describe the processing algorithm, to estimate the fractional errors, and to set out the software (SW) and hardware (HW) mapping. The previous design methods for SARP are complex and depend on HW. Therefore, this paper proposes a critical design method that is of more general and independent of HW. This methodology can be applied for developing the space-based SARP using range-Doppler algorithm (RDA).

• Communications for Statistical Applications and Methods
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• 제10권3호
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• pp.981-996
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• 2003

Bayesian inference is considered for switching mean models with the ARMA errors. We use noninformative improper priors or uniform priors. The fractional Bayes factor of O'Hagan (1995) is used as the Bayesian tool for detecting the existence of a single change or multiple changes and the usual Bayes factor is used for identifying the orders of the ARMA error. Once the model is fully identified, the Gibbs sampler with the Metropolis-Hastings subchains is constructed to estimate parameters. Finally, we perform a simulation study to support theoretical results.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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• pp.234-238
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• 1996

In this paper, Plasma-Enhanced Chemical Vapor Deposition (PECVD) modeling using Polynomial Neural Networks (PNN) has been introduced. The deposition of SiO2 was characterized via a 25-1 fractional factorial experiment, was used to train PNNs using predicted squared error (PSE). The optimal neural network structure and learning parameters were determined by means of a second fractional factorial experiment. The optimized networks minimized both learning and prediction error. From these PNN process models, the effect of deposition conditions on film properties has been studied. The deposition experiments were carried out in a Plasma Therm 700 series PECVD system. The models obtained will ultimately be used for several other manufacturing applications, including recipe synthesis and process control.

• 한국전자통신학회논문지
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• 제14권1호
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• pp.185-190
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• 2019

본 연구는 유리차수 미분의 수학적인 방법을 시스템의 응답을 제어하는 제어기에 적용하고자 한다. 일반적인 PID제어기의 라플라스 변환은 s의 정수지수를 갖게 된다. 유리차수의 미분은 라플라스 변환에서 s에 대한 유리수 지수를 갖게 된다. 따라서 이를 제어기로 구성하기 위해서는 유리수 지수에 대한 설계가 적절하지 않아 이산시간으로 변환하여 설계하는 방법을 제안한다. 이를 표준 2차 시스템에 적용하여 성능을 살펴보고, 산업현장에서 많이 사용되는 솔레노이드밸브에 적용한다. 외란 상태의 추정이 가능하도록 루엔버거 관측기를 설계하고 관측된 상태에 대하여 유리차수 제어기를 적용하여 균일하며 정밀한 제어성능을 얻을 수 있었다. 정상상태의 위치오차가 0.1 [%]이내이고, 기동시간이 약 0.3 [s]이내의 정밀하며 균일한 위치제어성능 가짐을 확인할 수 있었다.

• Journal of the Korean Data and Information Science Society
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• 제26권4호
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• pp.971-984
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• 2015

Imputation procedures fill-in missing values, thereby enabling complete data analyses. Fully efficient fractional imputation (FEFI) and multiple imputation (MI) create multiple versions of the missing observations, thereby reflecting uncertainty about their true values. Methods have been described for hypothesis testing with multiple imputation. Fractional imputation assigns weights to the observed data to compensate for missing values. The focus of this article is the development of tests of independence using FEFI for partially classified two-way contingency tables. Wald and deviance tests of independence under FEFI are proposed. Simulations are used to compare type I error rates and Power. The partially observed marginal information is useful for estimating the joint distribution of cell probabilities, but it is not useful for testing association. FEFI compares favorably to other methods in simulations.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2006년도 하계종합학술대회
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• pp.521-522
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• 2006

This paper presents behavioral models using SIMULINK and Verilog-a for a PLL based fractional-N frequency synthesizer. The SIMULINK modeling was built in the frequency-time mixed domain whereas the Verilog-a modeling was built purely in the time domain. The simulated results of the two models were verified to show the same performance within the error tolerance. This top-down design method can provide the readiness for the transistor-level design.

• 한국지하수토양환경학회지:지하수토양환경
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• 제22권6호
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• pp.57-65
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• 2017

Six soil subsampling methods were evaluated with explosive compounds-contaminated soils to quantify the variance associated with each method. The methods include modified grab sampling, simplified ripple splitting, fractional shoveling, coning & quatering, degenerate fractional shoveling, and rolling & quatering. All the methods resulted in significantly lower CV (coefficient of variation) of 1~5%, compared to common grab sampling that gave 8~98% of CV, possibly due to the reduction of grouping and segregation errors described by Gy sampling theory. Among the methods, simplified ripple splitting tends to result in lower explosive compounds concentrations, while the rolling & quatering gave the opposite result. Fractional shoveling method showed the least variance and the highest reproducibility in the analysis.