• Title/Summary/Keyword: lower order

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BUBBLE STABILIZATION OF CHEBYSHEV-LEGENDRE HIGH-ORDER ELEMENT METHODS FOR THE ADVECTION-DIFFUSION EQUATION

  • Kim, Philsu;Kim, Sang Dong;Lee, Yong Hun
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.423-440
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    • 2016
  • The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.

The Dynamic Assessment for Lower Grades of Primary School (초등학교 저학년 수학교육에서의 역동적 평가 방안 탐색)

  • Lee, Bong-Ju
    • The Mathematical Education
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    • v.50 no.1
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    • pp.13-25
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    • 2011
  • The Goals of mathematics education for the lower grades of primary school is to shape the basic concepts and the skills of mathematics. To achieve this goal, it is necessary an assessment which is able to help the students' learning activities by precisely diagnosing their basic mathematical capability. It should lend the students an assistance in diagnosing and revising their problems throughout teacher's cognitive participation in the process of mathematical problem solving. I would like to suggest the dynamic assessment as one of these kinds of approaches. In order to prove the utilities of this way, it was examined the necessity of dynamic assessment on the basis of the Vygotsky's theory after looking into the characteristics of the contents and methods of the mathematics education for the lower grades of primary school. Next, I researched the principles of the dynamic assessment and embodied the assessment tool to evaluate the mathematical achievement of the lower grades of the primary school. Lastly, it was provided the examples of the dynamic assessment tool in order to assist the practice of it.

Moments of Order Statistics from Doubly Truncated Linear-Exponential Distribution

  • Saran, Jagdish;Pushkarna, Narinder
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.279-296
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    • 1999
  • In this paper we establish some recurrence relations for both single and product moments of order statistics from a doubly truncated linear- exponential distribution with increasing hazard rate. These recurrence relations would enable one to compute all the higher order moments of order statistics for all sample sizes from those of the lower order in a simple recursive way. In addition, percentage points of order statistics are also discussed. These generalize the corresponding results for the linear- exponential distribution with increasing hazard rate derived by Balakrishnan and Malik(1986)

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A NOTE ON VALUE DISTRIBUTION OF COMPOSITE ENTIRE FUNCTIONS

  • Lahiri, Indrajit
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.1-6
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    • 2001
  • We discuss the value distribution of composite entire functions including those of infinite order and estimate the number of Q-points of such functions for an entire function Q or relatively slower growth.

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Effect of Treadmill Training and Proprioceptive Neuromuscular Facilitation Lower Leg Taping on Balance and Gait Ability in Stroke Patients (고유수용성신경근촉진법 아래다리 테이핑적용과 트레드밀 훈련이 뇌졸중 환자의 보행능력과 균형능력에 미치는 영향)

  • Jeong, Wang-Mo;Kim, Beom-Ryong;Kang, Mi-Gyeong
    • PNF and Movement
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    • v.14 no.2
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    • pp.83-91
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    • 2016
  • Purpose: The purpose of this study was both to examine the effects of proprioceptive neuromuscular facilitation (PNF) lower leg taping and treadmill training on the gait and balance abilities of patients with hemiplegia resulting from a stroke and to provide a taping method based on the PNF concept. Methods: Twenty patients with hemiplegia resulting from a stroke were randomly and equally assigned to a control group (n=10), which received treadmill training, and to an experimental group (n=10), which received PNF lower leg taping and treadmill training. The intervention was conducted five times per week for six weeks. In order to measure changes in the gait ability of the subjects, a 10-meter walking test (10MWT) and a 6-minute walking test (6MWT) were conducted, and in order to measure changes in the subjects' balance ability, a timed up and go test (TUG) was performed. In order to compare differences within each group before and after the intervention, a paired-t test was carried out, and in order to compare differences between the two groups, the analysis of covariance was utilized. All statistical significance levels were set at ${\alpha}=0.05$. Results: There were significant differences before and after the intervention within both groups in changes of 10MWT, 6MWT, and TUG (p<0.01). Regarding differences between the two groups, the experimental group underwent more effective changes than the control group in 6MWT and TUG (p<0.05). Conclusion: This study applied PNF lower leg taping and treadmill training to patients with hemiplegia resulting from a stroke, and this resulted in improvement in the subjects' gait and balance abilities. Taping and treadmill training based on the PNF concept is considered to be usefully applied as one of the programs to improve hemiplegic patients' gait and balance abilities.

Rural Health subcenter Utilization Pattern and Its Related Factors (일부 농촌지역 주민의 보건지소 이용 양상과 관련요인)

  • Sohn, Seok-Joon
    • Journal of agricultural medicine and community health
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    • v.19 no.2
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    • pp.97-106
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    • 1994
  • In order to estimate the utilization pattern of a rural health subcenter, and to identify the recognition for it among the inhabitants in Kogsung district, a questionnaire survey was carried out for objects of 708 population. The results observed were as follows; 1. The annual utilization rate of a rural health subcenter for a basic health service unit was 27.5 per 100 persons, and annual mean visiting times was 1.43 times. 2. The most frequent disease by, annual health subcenter utilization illness was respiratory disease(26.5%), and the next was musculoskeletal disease(23.9%), gastrointestinal disease(15.9%) by order. 3. Favorite reasons for community health subcenter utilization were lower medical cost(23.4%), near distance from living place(20.7%) and lower disease severity(19.5%) by order. But disfavorite reasons for it were non effective treatment(26.2%), insufficient equipment(25.4%) and absence of specialist(17.4%) by order. 4. Insufficient items about community health subcenter utilization were restriction of treatment limit(47.1%), lower reliance(22.4%) and not punctral(21.8%) by order. 5. The results of logistic regression analysis suggested that statistically significant factors in health subcenter utilization were age, educational level and the nearest medical facility class. 6. There was no difference between recognition for a community health subcenter's work and actual utilizing service, and desirable works for it were disease preventing service, disease control of elderly and sanitation control by order. These results suggested that to increase the utilization of rural health subcenter and to promote the accessibility of rural residents to primary health care, there must be considered public relation about health subcenter, expansion of health equipment and recognition about access time.

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STUDIES ON ERUPTIVE STAGES OF PRIMARY DENTITION IN KOREAN INFANTS (한국인(韓國人)의 유치(乳齒) 맹출시기(萌出時期)에 대(對)한 연구(硏究))

  • Cho, Young-Ho
    • Journal of the korean academy of Pediatric Dentistry
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    • v.4 no.1
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    • pp.7-18
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    • 1977
  • The author carried out to determine the normal range of eruptive time, average age and order of eruption of primary teeth in korean infants. The examimation was given to 1757 healty infants(Male 1032, female 725) from afterbirth 4 months to 32 months. The results was as fallows. 1. The eruption of primary teeth was 0.57 months earlier in male than in female. 2. The average month of eruption of primary teeth was as follows; Upper primary central is $9.66{\pm}0.19$ months Upper primary lateral is $11.58{\pm}0.18$ months. Upper primary canine is $18.06{\pm}0.32$ months. Upper first primary molar is $16.45{\pm}0.29$ months. Upper second primary molar is $24.28{\pm}0.51$ months. Lower primary central is $7.50{\pm}0.12$ months. Lower primary lateral is $12.87{\pm}0.16$ months. Lower primary camine is $18.82{\pm}0.34$ months. Lower first primary molar is $17.66{\pm}0.37$ months. Lower second primary molar is $23.89{\pm}0.51$ months. 3. The eruptive order of the korean is different from that of the American and same to that of Japanese. 4. There is no significant right and left arch. 5. Generally, the eruption of primary teeth on the upper is 1.08 months earlier than on the lower; but the upper central is 2.16 months later than the lower and the upper second primary is 0.39 months later than the lower.

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Age-Related Change of Upper Body Contribution to Walking Speed (보행스피드에 대한 상체 공헌도의 연령에 따른 변화)

  • Bae, Yeoung-Sang
    • Korean Journal of Applied Biomechanics
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    • v.17 no.4
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    • pp.27-36
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    • 2007
  • The purpose of this study was to investigate the effect of the upper body in order to increase a propulsive force in the old's walking. The subjects were each 10 males, the latter term of the aged and former term of the aged. There were three walking speeds of slow(about 5km/h), medium(about 6km/h), and maximum speed(about 7km/h). The subjects walking 11m were filmed the 5m section (from 3m to 8m) by 2-video cameras using three dimensional cinematography. And we computed different mechanical quantities and especially computed the relative momentum in order to achieve this study's aim. In this study, we was able to acquire some knowledge. The step length and step frequency increased in proportion to the walking speed, and the faster walking speed, the shorter ratio of supporting time( both legs supporting time/one step length time). When it was one leg support phase, the torso was indicated to generate the momentum in order to produce the propulsive force of walking. The upper and lower body had a cooperative relation for walking such as keeping step rate with the arms to legs and maintaining the body balance. The opposition phase for upward-and-downward direction of the torso and arms in walking was functioned to prevent the increase rapidly toward vertical direction of the center of gravity. The arms had contributed to coordinate the tempo of legs and the posture maintenance of the upper body. And by absorbing the relative momentum from the upper torso with arms to the lower torso, it had the rhythmical movement on upward-and-downward direction reducing the vertical reaction force. On account of the relations of absorption and generation of the propulsive force and the production of vertical impulse in the lower torso when walking by maximum speed, it was showed that the function of lower torso was come up as important problem for the mechanical posture stability and propulsive force coordination.

THREE-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Khan, Rahmat Ali
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.221-228
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    • 2013
  • The method of upper and lower solutions and the generalized quasilinearization technique is developed for the existence and approximation of solutions to boundary value problems for higher order fractional differential equations of the type $^c\mathcal{D}^qu(t)+f(t,u(t))=0$, $t{\in}(0,1),q{\in}(n-1,n],n{\geq}2$ $u^{\prime}(0)=0,u^{\prime\prime}(0)=0,{\ldots},u^{n-1}(0)=0,u(1)={\xi}u({\eta})$, where ${\xi},{\eta}{\in}(0,1)$, the nonlinear function f is assumed to be continuous and $^c\mathcal{D}^q$ is the fractional derivative in the sense of Caputo. Existence of solution is established via the upper and lower solutions method and approximation of solutions uses the generalized quasilinearization technique.