• Title/Summary/Keyword: Function Domain

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A Review of the Role of Domain in Representational Activities for Forming the Concept of Linear Functions (일차함수의 개념형성을 위한 표상활동에서 정의역의 역할에 대한 고찰)

  • Kim, Jin-Hwan
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.49-65
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    • 2010
  • The purpose of this study is to encourage the role of domain to consider the teaching of the concept of functions in modeling real situations. To do this, it is analyzed that how to introduce the concept of functions and linear functions in textbooks treated in the 1st grade and the 2nd grade of middle school. This study also reviewed the role of domain in representational activities for modeling real situations using linear functions. In these reviews, it found that many textbooks do not consider the domain in the equations of functions and these graphs and several text books used linear functions for modeling real situations which are not represented by linear functions contextually. It is concluded that the domain of function is an important concept that will be considered any representational activities for functions.

A NOTE ON PROLATE SPHEROIDAL WAVE FUNCTIONS AND PROLATE FUNCTION BASED NUMERICAL INVERSION METHODS

  • Kim, Eun-Joo;Lee, June-Yub
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.1
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    • pp.41-53
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    • 2008
  • Polynomials are one of most important and widely used numerical tools in dealing with a smooth function on a bounded domain and trigonometric functions work for smooth periodic functions. However, they are not the best choice if a function has a bounded support in space and in frequency domain. The Prolate Spheroidal wave function (PSWF) of order zero has been known as a best candidate as a basis for band-limited functions. In this paper, we review some basic properties of PSWFs defined as eigenfunctions of bounded Fourier transformation. We also propose numerical inversion schemes based on PSWF and present some numerical examples to show their feasibilities as signal processing tools.

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Simplification of Transfer Function Via Walsh Function in Frequency Domain (주파수 영역에서 Walsh 함수에 의한 전달함수의 간단화)

  • Doo-Soo Ahn
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.8
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    • pp.33-38
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    • 1982
  • This paper deals with the simplification of the transfer function in a frequency domain, viz. the integral of the squared errors between the original and the simplified model is minimized and the latter is estimated by the Walsh function. It tries to minimize the errors between the frequency responses of the two functions. This method is compared with the existing method by means of a numercal example. The frequency response of this simplified model approximates closely to that of the original model. The proposed method is simpler in analysis and easier in implementation than the existing methods. Though the Walsh function can be easily generated with the discrete values, it has errors because its zero crossings are not continuous. This method aims at the reduction of the errors in the real parts and the imaginary parts of the two functions by dividing into the more sub-intervals, and selecting the reduced-order model according to the response of the model. As a result, it can be applied for the simplification of higher order functions into lower order functions and for the design of control systems.

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Quantification protocol for spectral-domain OCT using FBGs (광섬유 격자를 이용한 주파수 영역 OCT의 특성 정량화)

  • Eom, Tae-Jung;Kim, Chang-Seok;An, Ye-Chan
    • Proceedings of the Optical Society of Korea Conference
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    • 2009.02a
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    • pp.169-170
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    • 2009
  • We present a quantification protocol to get the alignment factors of a custom-made spectrometer and the nonlinear fitting function between the measured CCD pixel domain and the wavelength domain to apply the spectral-domain optical coherence tomography using fiber Bragg gratings. We have used 4 different center wavelength gratings with a narrow spectral bandwidth (<0.05 nm) and the same reflectivity (>92 %) to calibrate and align the custom-made spectrometer.

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ESTIMATING THE DOMAIN OF ATTRACTION OF HIV-1 SYSTEM BASED ON MOMENT METHOD

  • LI, CHUNJI;YAO, HAN
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.349-358
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    • 2018
  • In this article, we discuss the domain of attraction of HIV-1 system by using the moment theory. First, the asymptotic stabilities of the equilibrium point of the system are given, and then we introduce how to use the moment method to estimate domain of attraction. Finally, one simulation shows the effectiveness of moment method.

Biotinoyl Domain of Human Acetyl-CoA Carboxylase;Structural Insights into the Carboxyl Transfer Mechanism

  • Lee, Chung-Kyung;Cheong, Hae-Kap;Ryu, Kyoung-Seok;Lee, Jae-Il;Jeon, Young-Ho;Cheong, Chae-Joon
    • Journal of the Korean Magnetic Resonance Society
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    • v.12 no.1
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    • pp.1-13
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    • 2008
  • Acetyl-CoA carboxylase (ACC) catalyzes the first step in fatty acid biosynthesis: the synthesis of malonyl-CoA from acetyl-CoA. As essential regulators of fatty acid biosynthesis and metabolism, ACCs are regarded as therapeutic targets for the treatment of metabolic diseases such as obesity, In ACC, the biotinoyl domain performs a critical function by transferring an activated carboxyl group from the biotin carboxylase domain to the carboxyl transferase domain, followed by carboxyl transfer to malonyl-CoA. Despite the intensive research on this enzyme, only the bacterial and yeast ACC structures are currently available, To explore the mechanism of ACC holoenzyme function, we determined the structure of the biotinoyl domain of human ACC2 and analyze its characteristics using NMR spectroscopy. The 3D structure of the hACC2 biotinoyl domain has a similar folding topology to the previously determined domains from E. coli and P. Shermanii, however, the 'thumb' structure is absent in the hACC2 biotinoyl domain. Observations of the NMR signals upon the biotinylation indicate that the biotin group of hACC2 does not affect the structure of the biotinoyl domain, while the biotin group for E. coli ACC interacts directly with the thumb residues that are not present in the hACC2 structure. These results imply that, in the E. coli ACC reaction, the biotin moiety carrying the carboxyl group from BC to CT can pause at the thumb of the BCCP domain. The human biotinoyl domain, however, lacks the thumb structure and does not have additional non-covalent interactions with the biotin moiety; thus, the flexible motion of the biotinylated lysine residue must underlie the "swinging arm" motion. This study provides insight into the mechanism of ACC holoenzyme function and supports the "swinging arm" model in human ACCs.

The Molecular Functions of RalBP1 in Lung Cancer

  • Lee, Seunghyung
    • Biomedical Science Letters
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    • v.20 no.2
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    • pp.49-55
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    • 2014
  • RalBP1 is an ATP-dependent non-ABC transporter, responsible for the major transport function in many cells including many cancer cell lines, causing efflux of glutathione-electrophile conjugates of both endogenous metabolites and environmental toxins. RalBP1 is expressed in most human tissues, and is over-expressed in non-small cell lung cancer cell lines and in many other tumor types. Blockade of RalBP1 by various approaches has been shown to increase sensitivity to radiation and chemotherapeutic drugs, leading to cell apoptosis. In xenograft tumor models in mice, RalBP1 blockade or depletion results in complete and sustained regression across many cancer cell types including lung cancer cells. In addition to its transport function, RalBP1 has many other cellular and physiological functions, based on its domain structure which includes a unique Ral-binding domain and a RhoGAP catalytic domain, as well as docking sites for multiple signaling proteins. Additionally, RalBP1 is also important for stromal cell function in tumors, as it was recently shown to be required for efficient endothelial cell function and angiogenesis in solid tumors. In this review, we discuss the cellular and physiological functions of RalBP1 in normal and lung cancer cells.

The Effects of Sochongryong-tang on Pulmonary Function and Quality-of-Life in Asthmatic Patients (소청용탕이 기관지천식 환자의 폐기능과 삶의 질에 미치는 영향)

  • 허태석;황우석;주창엽;정희재;이형구;정승기
    • The Journal of Korean Medicine
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    • v.22 no.4
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    • pp.131-141
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    • 2001
  • Objectives : Asthma is a chronic inflammatory disorder in which the airway smooth muscle undergoes exaggerated constriction and is abnormally responsive to external stimuli and clinically manifests dyspnea, cough, and wheezing. Recently in Korea, the number of asthma patients has tended to increase as air pollution increases and new allergens appear. This study aimed to identify the therapeutic effects of Sochongryong-tang, which has been used on asthmatic patients in Oriental Medicine for a long time. Methods : We studied 10 asthmatic patients who had visited the Division of Respiratory System, Department of Internal Medicine of Kyunghee Oriental Medical Center from February 1, 2001 to June 30, 2001, which examined the patients by the pulmonary function test (PFT) and Quality of Life Questionnaire for adult Korean Asthmatics (QLQAKA) before and after taking Sochongryong-tang for two weeks. The data was analyzed using paired t-test. Results : After treatment with Sochongryong-tang for two weeks, FEV 1.0 showed a significant increase of 14.2%, FVC a significant increase of 9.3% and PEFR a significant increase of 16.2% in results of patients examined asthmatic by PFT. In the results of QLQAKA, the mean of scores increased significantly over 0.5 points in total score, symptom domain, emotion domain, and environmental domain. Conclusions : This study shows that Sochongryong-tang has the effect of improvements of pulmonary function and quality of life in asthmatic patients.

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Evaluation of Ride Comfort in Time Domain by Using z-Transform (z변환을 이용한 시간영역에서의 승차감 평가)

  • Kim, Young-Guk;Kim, Seog-Won;Park, Chan-Kyoung;Kim, Sang-Soo;Kim, Ki-Hwan
    • Journal of the Korean Society for Railway
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    • v.14 no.6
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    • pp.495-500
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    • 2011
  • In evaluating the ride comfort of railway vehicles, relationship between passenger's feeling and vibration characteristics is very important because human feeling is dependent on frequency spectrum of vibration. Therefore, the weighing curves in frequency domain are used to evaluate the ride comfort of railway vehicles. These curves have been defined in the Laplace transfer functions. It is necessary to convert the Laplace weighing function to the z weighing function in order to obtain the rms value in the time domain. In the present paper, we have applied Tustin's approximation to transform the Laplace weighing function to the z weighing and validated this method by reviewing the various cases.

Segmental effects on Prosodic Domain -initial Strengthening

  • Oh, Mi-Ra
    • Speech Sciences
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    • v.9 no.2
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    • pp.13-23
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    • 2002
  • This study examines the effect of laryngeal consonants of Korean on prosodic domain-initial strengthening. Keating, Cho, Fougeron & Hsu (1999), Fougeron & Keating (1996), and Hsu & Jun (1998) found that consonants at the beginnings of larger phrases are more constricted than consonants at the beginnings of smaller phrases. Korean laryngeal consonants pose a counter-example to the general pattern of domain-initial strengthening since tense and aspirated consonants are longer word-medially than word-initially. Previous work on domain-initial strengthening focused on domain-initial consonants at different prosodic domains. This study shows that acoustic cues that are not domain-edge also function to demarcate prosodic structure when the domain-initial consonant is laryngeal: VOT for an aspirated consonant and duration of V2 for a tense consonant.

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