• Title/Summary/Keyword: Numerical Expression

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A Study on the Inlet Pressure Build-Up at Bearing Entrance (베어링 입구에서 발생하는 선단압력에 관한 연구)

  • 김종수;김경웅
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.1921-1930
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    • 1993
  • In order to evaluate the inlet pressure correctly, the full Navier-Stokes equations are solved numerically for the computational domain which covers the cavity region between pads as well as the bearing film. A nonuiform grid system is adopted to reduce the number of grid points, and the numerical solutions are obtained for a wide range of Reynolds number in laminar regime with various values of the distance between pads. The numerical results show that the inlet pressure is significantly affected by Reynolds number and the distance between pads. An expression for the loss coefficient in terms of Reynolds number and non-dimensional distance between pads is obtained on the basis of the numerical results. It is found that the inlet pressure over the whole range of numerical solutions can be fairly accurately estimated by applying the formula for the loss coefficient to the extended Bernoulli equation.

Development of A Method for The Musical Expression of Cognitive Food Taste

  • Kim, So-Eun;Lim, Seock-Won;Chun, Jae-Kun
    • Food Science and Biotechnology
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    • v.14 no.6
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    • pp.738-742
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    • 2005
  • We developed a musical composition and performing method for the dynamic expression of food taste, to replace the static expression obtained from a numerical sensory score and linguistic method. The musical score was composed using cognitive food sensory data gathered while eating potato chips via a computer equipped with a sound card and a master keyboard, as well as Cakewalk 9.0, Goldwave 5.0, and Windows Media Player. The music score included four lines, one representing sensory data and three reflecting three layers of human consciousness. Different time units were applied by incorporating different repetition cycles for the relevant consciousness layers. The musical scores of individual subjects differed in terms of the score pattern and its sound. The music representing food taste was played by four instruments and showed different sound and acoustic frequency patterns for each individual subject during the consumption of potato chips. The musical expression method was applied to analyze the individual taste characteristics in the cognition of food.

1학년 수와 연산 영역에서 학습자의 오류 분석을 통한 교과서 재구성 방안

  • Choi, Ho-Hee;Choi, Chang-Woo
    • East Asian mathematical journal
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    • v.27 no.2
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    • pp.163-180
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    • 2011
  • The purpose of this study is to look for the plan of reconstructing a textbook through error analysis and the process of its correction in numbers and operations of the first grade. The Research materials are collected and analyzed through the journal about every lessons, the recording sheets of students' activity, the recording videotapes during lessons, the individual interview and observation. This study investigated 4 errors which are useful for reconstructing textbook, the errors of understanding relation between numerical expression and number line, the errors of drawing-strategy, the errors of understanding relation between additive expression and subtractive expression, the errors of subtraction has to be regrouped. The errors are classified into some types and analyzed focusing on content of each error. Reinstructing are carried out based on material analyzed for correcting errors.

Analytical solution for natural frequency of monopile supported wind turbine towers

  • Rong, Xue-Ning;Xu, Ri-Qing;Wang, Heng-Yu;Feng, Su-Yang
    • Wind and Structures
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    • v.25 no.5
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    • pp.459-474
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    • 2017
  • In this study an analytical expression is derived for the natural frequency of the wind turbine towers supported on flexible foundation. The derivation is based on a Euler-Bernoulli beam model where the foundation is represented by a stiffness matrix. Previously the natural frequency of such a model is obtained from numerical or empirical method. The new expression is based on pure physical parameters and thus can be used for a quick assessment of the natural frequencies of both the real turbines and the small-scale models. Furthermore, a relationship between the diagonal and non-diagonal element in the stiffness matrix is introduced, so that the foundation stiffness can be obtained from either the p-y analysis or the loading test. The results of the proposed expression are compared with the measured frequencies of six real or model turbines reported in the literature. The comparison shows that the proposed analytical expression predicts the natural frequency with reasonable accuracy. For two of the model turbines, some errors were observed which might be attributed to the difference between the dynamic and static modulus of saturated soils. The proposed analytical solution is quite simple to use, and it is shown to be more reasonable than the analytical and the empirical formulas available in the literature.

Performance of Generalized BER for Hierarchical MPSK Signal (계층적 MPSK 신호에 대한 일반화된 BER 성능)

  • Lee Jae-Yoon;Yoon Dong-Weon;Hyun Kwang-Min;Park Sang-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.9C
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    • pp.831-839
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    • 2006
  • In this paper, we present an exact and general expression involving two-dimensional Gaussian Q-functions for the bit error rate (BER) of hierarchical MPSK with I/Q phase and amplitude imbalances over an additive white Gaussian noise (AWGN) channel. First we derive a BER expression for the k-th bit of hierarchical 4, 8, 16-PSK signal constellations when Gray code bit mapping is employed. Then, from the derived k-th bit BER expression, we present the exact and general average BER expression for hierarchical MPSK with I/Q phase and amplitude imbalances. This result can readily be applied to numerical evaluation for various cases of practical interest in an I/Q unbalanced hierarchical MPSK system, because the one- and two-dimensional Gaussian Q-functions can be easily and directly computed usinB commonly available mathematical software tools.

Transcription Profiles of Human Cells in Response to Sodium Arsenite Exposure

  • Lee, Te-Chang;Konan Peck;Yih, Ling-Huei
    • Toxicological Research
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    • v.17
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    • pp.59-69
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    • 2001
  • Arsenic exposure is associated with several human diseases, including cancers, atherosclerosis, hypertension, and cerebrovascular diseases. In cultured cells, arsenite, an inorganic arsenic com-pound, was demonstrated to interfere with many physiological functions, such as enhancement of oxidative stress, delay of cell cycle progression, and induction of structural and numerical changes of chromosomes. The objective of this study is to investigate the effects of arsenic exposure on gene expression profiles by colorimetric cDNA microarray technique. HFW (normal human diploid skin fibroblasts), CL3 (human lung adenocarcinoma cell line), and HaCaT (immortalized human keratinocyte cell line) were treated with 5 $\mu\textrm{M}$ or 10 $\mu\textrm{M}$ sodium arsenite for 6 or 16 h, respectively. By a dual-color detection system, the expression profile of arsenite-treated cultures was compared to that of control cultures. Several genes expressed differentially were identified on the microarray membranes. For example, MDM2, SWI/SNF, ubiquitin specific protease 4, MAP3K11, RecQ protein-like 5, and Ribosomal protein Ll0a were consistently induced in all three cell types by arsenite, whereas prohibitin, cyclin D1, nucleolar protein 1, PCNA, Nm23, and immediate early protein (ETR101) were apparently inhibited. The present results suggest that arsenite insults altered the expression of several genes participating in cellular responses to DNA damage, stress, transcription, and cell cycle arrest.

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Vibrations of wind-turbines considering soil-structure interaction

  • Adhikari, S.;Bhattacharya, S.
    • Wind and Structures
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    • v.14 no.2
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    • pp.85-112
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    • 2011
  • Wind turbine structures are long slender columns with a rotor and blade assembly placed on the top. These slender structures vibrate due to dynamic environmental forces and its own dynamics. Analysis of the dynamic behavior of wind turbines is fundamental to the stability, performance, operation and safety of these systems. In this paper a simplied approach is outlined for free vibration analysis of these long, slender structures taking the soil-structure interaction into account. The analytical method is based on an Euler-Bernoulli beam-column with elastic end supports. The elastic end-supports are considered to model the flexible nature of the interaction of these systems with soil. A closed-form approximate expression has been derived for the first natural frequency of the system. This new expression is a function of geometric and elastic properties of wind turbine tower and properties of the foundation including soil. The proposed simple expression has been independently validated using an exact numerical method, laboratory based experimental measurement and field measurement of a real wind turbine structure. The results obtained in the paper shows that the proposed expression can be used for a quick assessment of the fundamental frequency of a wind turbine taking the soil-structure interaction into account.

Searching for Optimal Ensemble of Feature-classifier Pairs in Gene Expression Profile using Genetic Algorithm (유전알고리즘을 이용한 유전자발현 데이타상의 특징-분류기쌍 최적 앙상블 탐색)

  • 박찬호;조성배
    • Journal of KIISE:Software and Applications
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    • v.31 no.4
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    • pp.525-536
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    • 2004
  • Gene expression profile is numerical data of gene expression level from organism, measured on the microarray. Generally, each specific tissue indicates different expression levels in related genes, so that we can classify disease with gene expression profile. Because all genes are not related to disease, it is needed to select related genes that is called feature selection, and it is needed to classify selected genes properly. This paper Proposes GA based method for searching optimal ensemble of feature-classifier pairs that are composed with seven feature selection methods based on correlation, similarity, and information theory, and six representative classifiers. In experimental results with leave-one-out cross validation on two gene expression Profiles related to cancers, we can find ensembles that produce much superior to all individual feature-classifier fairs for Lymphoma dataset and Colon dataset.

Experimental & computational study on fly ash and kaolin based synthetic lightweight aggregate

  • Ipek, Suleyman;Mermerdas, Kasim
    • Computers and Concrete
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    • v.26 no.4
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    • pp.327-342
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    • 2020
  • The objective of this study is to manufacture environmentally-friendly synthetic lightweight aggregates that may be used in the structural lightweight concrete production. The cold-bonding pelletization process has been used in the agglomeration of the pozzolanic materials to achieve these synthetic lightweight aggregates. In this context, it was aimed to recycle the waste fly ash by employing it in the manufacturing process as the major cementitious component. According to the well-known facts reported in the literature, it is stated that the main disadvantage of the synthetic lightweight aggregate produced by applying the cold-bonding pelletization technique to the pozzolanic materials is that it has a lower strength in comparison with the natural aggregate. Therefore, in this study, the metakaolin made of high purity kaolin and calcined kaolin obtained from impure kaolin have been employed at particular contents in the synthetic lightweight aggregate manufacturing as a cementitious material to enhance the particle crushing strength. Additionally, to propose a curing condition for practical attempts, different curing conditions were designated and their influences on the characteristics of the synthetic lightweight aggregates were investigated. Three substantial features of the aggregates, specific gravity, water absorption capacity, and particle crushing strength, were measured at the end of 28-day adopted curing conditions. Observed that the incorporation of thermally treated kaolin significantly influenced the crushing strength and water absorption of the aggregates. The statistical evaluation indicated that the investigated properties of the synthetic lightweight aggregate were affected by the thermally treated kaolin content more than the kaoline type and curing regime. Utilizing the thermally treated kaolin in the synthetic aggregate manufacturing lead to a more than 40% increase in the crushing strength of the pellets in all curing regimes. Moreover, two numerical formulations having high estimation capacity have been developed to predict the crushing strength of such types of aggregates by using soft-computing techniques: gene expression programming and artificial neural networks. The R-squared values, indicating the estimation performance of the models, of approximately 0.97 and 0.98 were achieved for the numerical formulations generated by using gene expression programming and artificial neural networks techniques, respectively.

Analysis of Cross-Phase Modulation using a periodic signal in a Single-Mode Fiber (주기적 신호를 이용한 단일모드 광섬유의 상호 위상변조 해석)

  • Lee, Jong-Hyung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.12
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    • pp.2963-2967
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    • 2015
  • The pump-probe scheme is used to analyze the cross-phase modulation penalty of a single-mode fiber in a WDM system. The pump signal is assumed to be a periodically modulated input like a raised sinusoidal. The periodic signal models an alternating bit sequence, and leads to an analytical expression of CPM penalty which is measured by EOP. The derived expression shows good agreement with numerical results in conventional single-mode fiber systems over a wide range of channel spacing, ${\Delta}f$. In dispersion-shifted fiber systems when ${\Delta}f$ < 100GHz, the derived expression shows increased discrepancy with the numerical results due to the increased FWM. This is not a surprising because the pump-probe scheme is used to analyze system performance degradation due to CPM.