• Title/Summary/Keyword: divided difference of order one-two

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NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.277-302
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    • 2017
  • In this paper, we have proposed a numerical method for Singularly Perturbed Boundary Value Problems (SPBVPs) of reaction-diffusion type of third order Ordinary Differential Equations (ODEs). The SPBVP is reduced into a weakly coupled system of one first order and one second order ODEs, one without the parameter and the other with the parameter ${\varepsilon}$ multiplying the highest derivative subject to suitable initial and boundary conditions, respectively. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference scheme. The weakly coupled system is decoupled by replacing one of the unknowns by its zero-order asymptotic expansion. Finally the present numerical method is applied to the decoupled system. In order to get a numerical solution for the derivative of the solution, the domain is divided into three regions namely two inner regions and one outer region. The Shooting method is applied to two inner regions whereas for the outer region, standard finite difference (FD) scheme is applied. Necessary error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples. The method is easy to implement and suitable for parallel computing. The main advantage of this method is that due to decoupling the system, the computation time is very much reduced.

Vehicle Face Re-identification Based on Nonnegative Matrix Factorization with Time Difference Constraint

  • Ma, Na;Wen, Tingxin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.6
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    • pp.2098-2114
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    • 2021
  • Light intensity variation is one of the key factors which affect the accuracy of vehicle face re-identification, so in order to improve the robustness of vehicle face features to light intensity variation, a Nonnegative Matrix Factorization model with the constraint of image acquisition time difference is proposed. First, the original features vectors of all pairs of positive samples which are used for training are placed in two original feature matrices respectively, where the same columns of the two matrices represent the same vehicle; Then, the new features obtained after decomposition are divided into stable and variable features proportionally, where the constraints of intra-class similarity and inter-class difference are imposed on the stable feature, and the constraint of image acquisition time difference is imposed on the variable feature; At last, vehicle face matching is achieved through calculating the cosine distance of stable features. Experimental results show that the average False Reject Rate and the average False Accept Rate of the proposed algorithm can be reduced to 0.14 and 0.11 respectively on five different datasets, and even sometimes under the large difference of light intensities, the vehicle face image can be still recognized accurately, which verifies that the extracted features have good robustness to light variation.

IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839

  • Argyros, Ioannis K.;Cho, Yeol Je;George, Santhosh
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.621-629
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    • 2019
  • In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

Focus Realization of English Noun Phrases in the Classroom Situation (교실 상황에서 영어 명사구의 초점 실현 양상)

  • Jun, Ji-Hyun;Song, Jae-Yung;Lee, Dong-Hwa;Kim, Kee-Ho
    • Speech Sciences
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    • v.9 no.2
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    • pp.109-132
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    • 2002
  • The purpose of this study is to examine the focus realization of [Adjective+Noun] phrases which are used in English classroom situations. In order to examine this, two production and one perception experiments were designed. The noun phrases in the first two production experiments are divided into three patterns according to the location of focus. The difference between the two production experiments is that in the first experiment the focused words are contextually given in the classroom situation, but in the second experiment they are presented in written form. We compare the native English teachers' focus realization of noun phrases with that of Korean teachers from the point of view of intonational phonology. In the perception test, we examine how the uttered sentences are perceived by English native speakers and Korean native speakers. The results from the three experiments show that native English teachers' focus realization is quite consistent with informational structure. Also, there is a significant difference in pitch range of adjectives and nouns when the native speakers give pitch accents on the two content words, and the uttered sentences are mostly perceived as well as the speakers' intentions. As for Korean speakers, however, they usually focus only on the adjective or they focus on both the adjective and the noun, regardless of the relative informativeness of these words. From these findings, we can conclude that focus realization of Korean teachers is rather inconsistent with respect to informational structure when compared to that of native English teachers.

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The Effect of Maternal Dietary Restriction on the Growth and Development of Offsprings (식이제한(食餌制限)이 후손(後孫)의 성장발달(成長發達)에 미치는 영향(影響))

  • Kim, Hyun-Sook;Kim, Sook-He
    • Journal of Nutrition and Health
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    • v.2 no.1
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    • pp.35-46
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    • 1969
  • Thirty female and six male rats aged fourty days were divided into two groups in order to feed them by pairfeeding for 50% dietary restriction in the pair group two weeks interval. Each group contains 15 female and three male rats matched each rat between two groups in consideration of body weight. Two female groups, one fed by 50% restricted diet and other Ad Libitum were divided into four groups each by the duration of dietary restriction during pregnancy: First ten days dietary restriction at 50% level, Last ten days dietary restriction at 50% level, Dietary restriction at 50% level for full period, And dietary unrestriction for full period Urinary total nitrogen and creatinine were determined. The birth weights of offsprings were decreased partial and full period dietary restriction of pregnant rats. There was no significant difference in the litter size of progeny due to the maternal diets. The growth was stunted in offsprings from the mothers fed restricted diet at 50% level for full period of pregnancy. No effect in the body weight gain of offsprings was observed in account of partial period of maternal dietary restriction. The urinary nitrogen of offsprings from eight different groups did not show any statistically significant difference.

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Gaze Differences between Expert and Novice Teachers in Science Classes

  • Kim, Won-Jung;Byeon, Jung-Ho;Lee, Il-Sun;Kwon, Yong-Ju
    • Journal of The Korean Association For Science Education
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    • v.32 no.9
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    • pp.1443-1451
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    • 2012
  • This study aims to investigate the gaze patterns of two expert and two novice teachers in one hour of lecture type class. Teachers recruited from the same middle school conducted the class each, wearing an eye-tracker. Gaze rate and gaze movement pattern were analyzed. The scene where teachers faced in the classroom was categorized into three zones; student zone, material zone, and non-teaching zone. Student zone was divided into nine areas of interest to see the gaze distribution within the student zone. Expert teachers showed focused gaze on student zone while novice teachers' gaze rate was significantly higher at the non-teaching zone, compared to expert teachers' one. Within student zone, expert teachers' gaze spread to the rear areas, but novice teachers' one was narrowly resided in the middle areas of the student zone. This difference in gaze caused different eye movement pattern: experts' T pattern and novices' I pattern. On the other hand, both teacher groups showed the least gaze rate onto the left and right front areas. Which change is required to teachers' gaze behavior and what must be considered in order to make effective teacher gaze in the classroom setting were discussed.

Effect of Informativeness on the Anxiety of Hospitalized Patients (정보제공이 입원환자 불안해소에 미치는 효과)

  • 박정옥
    • Journal of Korean Academy of Nursing
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    • v.5 no.2
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    • pp.1-10
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    • 1975
  • Every patient, who enters the hospital has a potential for becoming anxious. The control of hospitalization anxiety experienced by hospital patients is considered to be an important factor in the process of recovery from illness. This study was conducted to investigate the relationship between informativeness and hospitalization anxiety in order to give basic data for psycho-social aspect of nursing care for hospitalized patients. One hundred patients admitted to Kyungpook National University Hospital during the period of Jan. to June 1975 were sampled and divided into two groups; fifty of experimental and fifty of control group. The set of informations prepared by the investigator were given additionally to experimental group while the control group only received routine informations. Both groups were rated according to the Hospitalization Informativeness Scale which consisted of 24 questionaries and 4 categories and Hospitalization Anxiety Scale one or two days prior to discharge from the hospital. The results of the study were as follows; 1 . Mean values of Hospitalization Informativeness Scale revealed significant differences at 0.01 level with experimental group showing higher mean value. Age, sex ana educational states aid not influence the mean values of Hospitalization Informativeness Scale in both groups. 2 . The length of hospitalization did not influence significantly on the mean value of Hospitalization Informativeness Scale in both groups. 3. Rank difference correlation coefficiently between mean value of Hospitalization Informativeness Scale and the importance of information the patient's perceived were revealed significant at 0.01 level in all 4 categories such as admission discharge, treatment and nursing activities, diagnostic test, diagnosis and prognosis, health teaching for the patient and family in experimental group. While, only two categories such as treatment and nursing activities and health teaching for the patient and family in control group were revealed significant correlation. 4. Mean value of Hospitalization Anxiety Scale revealed significant difference at 0.05 level with the experimental group showing lower Hospitalization Anxiety Scale. 5. Correlation coefficiently between Hospitalization Informativeness Scale and Hospitalization Anxiety Scale were revealed significant at 0.01 level in experimental group but there was no significant correlation in control group.

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Affecting Factors of Upper Extremity Work-Related Musculoskeletal Disorder Among the Directory Assistance Operator (전화번호안내원의 단순반복작업에 의한 상지의 작업관련성 근골격계장애 영향 요인)

  • Kim, Young-Min
    • The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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    • v.13 no.2
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    • pp.85-95
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    • 2007
  • Purpose: The purpose of this study was to investigate the prevalence and affecting factors of work-related musculoskeletal disorder (WRMSD) among the directory assistance operators. Methods: One hundred eighty-five female subjects who worked more than one year as directory assistance operators in a telecommunication company were surveyed with self-administered questionnaires. Subjects were divided into disorder and control group by the NIOSH criterion about WRMSD, and then analyzed. Results: One hundred seventy two subjects (93%) had upper extremity symptoms and seventy subjects (37.8%) were WRMSD. the frequency order of the disorder area was the shoulder 60(32.4%), the neck 37(20.0%), the wrist 20(10.8%), the finger 20(10.8%) and the elbow 5(2.7%). It was found that the difference factors of the WRMSD group were education level (p<0.01), stress from the customers (p<0.01), satisfaction about monitor (p<0.05), temperature (p<0.05), noise (p<0.01), ventilation (p<0.001), working time (p<0.05), and recess (p<0.001). Conclusion: Improving working condition and education for the workers to control the stress are necessary to decrease the WRMSD for the directory assistance operators.

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A Study on Related Factors to Overweight for Primary School Children (초등학생의 과체중 관련요인에 관한 연구)

  • Park, Mi-A;Mun, Hyeon-Gyeong;Lee, Gyu-Han
    • Journal of the Korean Dietetic Association
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    • v.4 no.2
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    • pp.145-151
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    • 1998
  • The purpose of this study was to investigate the related factors to child overweight through investigation of children aged 6-12. Data on physical examinations, family history and dietary habits were obtained. Children were classified into normal(98 persons) and overweight(118 persons) group using the combination of height for age, weight for age and weight for height standard by the World Health Organization. Children's height, weight and BMI exhibited a significant difference between groups except children aged 8 for height. Unbalanced diet was a risk factors for overweight(Odd ratio : 1.765, 95% CI : 1.022~3.048). Number of brothers showed negative significance especially in two brothers compared to that of one(Odd ratio : 0.456, 95% CI : 0.209~0.995). But Birth weight, feeding practice, overeating, taking nutrition pills, sleeping time, mother's education level and employmental status didn't have any difference. We found out there were different risk factors between obese and overweight group. They should be divided into different groups in studying risk factors. And we should pay much attention to overweight children in order to prevent improving to obesity.

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Cardiovascular Responses to Isokinetic Exercise in Upper and Lower Extremities (상하지 등속성 운동시 나타나는 심혈관계의 반응)

  • Kim, Chun-Keung;Park, Hae-Jung;Hong, Ji-A;Kwon, Hyuk-Cheol
    • Physical Therapy Korea
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    • v.1 no.1
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    • pp.10-16
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    • 1994
  • The purpose of this study was to establish a baseline in order that individuals may exercise safely. Sixty healthy students who were divided into two groups participated in the experiment. One group exercised both arms and legs at 60 rpm and the other at 90 rpm. There was a significant difference between arm and leg exercise in diastolic blood pressure (DBP) and time to target heart rate (tTHR). DBP decreased more in the upper (U//E) than the lower extremity (L/E), but tTHR increased more in the L/E than the U/E (p < 0.05). Systolic blood pressure (SBP) was similar for both arm and leg exercise (p > 0.05). There was also no significant difference between 60 rpm and 90 rpm in SBP, DBP or tTHR in either arm or leg exercise (p > 0.05). In conclusion, the slope of the linear increase in heart rate was steeper for U/E than L/E work. Therefore L/E exercise is safer than U/E exercise.

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