• Title/Summary/Keyword: Functional reduction

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NUMBER OF THE NONTRIVIAL SOLUTIONS OF THE NONLINEAR BIHARMONIC PROBLEM

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.18 no.2
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    • pp.201-211
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    • 2010
  • We investigate the number of the nontrivial solutions of the nonlinear biharmonic equation with Dirichlet boundary condition. We give a theorem that there exist at least three nontrivial solutions for the nonlinear biharmonic problem. We prove this result by the finite dimensional reduction method and the shape of the graph of the corresponding functional on the finite reduction subspace.

Selective Reduction of Carbonyl Compounds with B-Alkoxydiisopinocampheylborane

  • 차진순;권오운;김종미
    • Bulletin of the Korean Chemical Society
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    • v.17 no.8
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    • pp.725-729
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    • 1996
  • Reaction of carbonyl compounds with B-alkoxydiisopinocampheylborane (Ipc2BOR, R=H, Et, i-Pr, t-Bu) was investigated in detail in order to establish their usefulness as selective reducing agents. The reagents were extremely mild and reduced only aldehydes effectively under mild conditions. The reagents also reduced α,β-unsaturated aldehydes to the corresponding allylic alcohols without any detectable 1,4-reduction. Furthermore, aldehydes can be reduced in the presence of epoxides and acid chlorides. Consequently, the selective reduction of aldehyde groups in the presence of keto and all other functional groups has been realized with these reagents.

Effect of Rehabilitation Exercise and Neuromuscular Electrical Stimulation on a Visual Analysis Scale and on Functional Capacity Performed For 8-weeks in a Patient With Patellofemoral Pain Syndrome (무릎넙다리 동통증후군 환자의 8주간 재활운동과 신경근전기자극치료가 통증척도와 기능적 수행능력에 미치는 영향)

  • Han, Sang-Wan
    • Physical Therapy Korea
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    • v.11 no.3
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    • pp.33-42
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    • 2004
  • The purpose of this study was to assess the effect of rehabilitation exercise and neuromuscular electrical stimulation on a visual analysis scale and functional visual analysis scale regarding functional capacity. A total of 7 consecutive patients with the complaint of patellofemoral pain syndrome who received this diagnosis from a sports medicine physician were recruited to assess the effect of rehabilitation exercise and neuromuscular electrical stimulation (NMES) on Visual Analog Scale (VAS) and Functional Visual Analog Scale (FVAS), functional capacity patients with patellofemoral pain syndrome. The exercise rehabilitation consisted of a complex training program requiring five treatments a week for eight weeks. The training program consisted of four phases, and each lasted for two weeks. Statistical analyses were one-way ANOVA with repeated measures. The results were as follows: (1) There were significant differences in the VAS and FVAS during 8-weeks of rehabilitation exercise and neuromuscular electrical stimulation (p<.01). (2) There were no significant differences in the functional capacity during 8-weeks of rehabilitation exercise and neuromuscular electrical stimulation (p<.05). In conclusion, at the end of the eight weeks of this rehabilitation program and neuromuscular electrical stimulation, a significant reduction was found in VAS and FVAS, but there was no significant difference in functional capacity at the end of the treatment.

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A Study on Development of Repairing Mortar Using Multi -functional Slag Aggregate (다기능성 슬래그 골재를 이용한 보수용 모르타르의 개발에 관한 연구)

  • Lee Dae Kyung;Lee Sang Uk;Cho Sung Hyun;Park Duk Jun;Bae Kee Sun;Oh Sang Keun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.281-284
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    • 2005
  • This research is a study on development of section restoration mortar by multi-functional slag aggregate. Compressive strength, flexural strength and other physical properties on five standards are measured to obtain optimal addition rate (of multi-functional aggregate) and to investigate applicability of multi-functional aggregate in developing repair mortar. As the study result, the properties of repair mortar, such as compressive strength and flexural strength etc. are improved by addition of multi-functional aggregate and confirmed reduction effect of air content.

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From Resection to Disconnection for Seizure Control in Pediatric Epilepsy Children

  • Hwang, Jun Kyu;Kim, Dong-Seok
    • Journal of Korean Neurosurgical Society
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    • v.62 no.3
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    • pp.336-343
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    • 2019
  • Epilepsy surgery revealed dramatically improved seizure outcomes over medical therapy in drug-resistant epilepsy patients. Children with epilepsy, however, have multiple epileptic focuses which require multilobar resection for better seizure outcome. Multilobar resection has not only the several severe surgical complications, such as hydrocephalus and shunt-related craniosynostosis, due to intracranial volume reduction. Isolation method (disconnection surgery) was progressively studied over epileptic focus removal (resective surgery) for seizure control. This concept was first introduced for functional hemispherotomy, and its primary principle is to preserve the vital vascularized brain that is functionally disconnected from the contralateral healthy brain. Currently in most epilepsy centers, the predominant disconnection surgical methods, including functional hemispherotomy, are continually being refined and are showing excellent results. They allow the functional isolation of the hemisphere or multi-lobe, affected by severe epilepsy. This review describes recent findings concerning the indication, surgical technique, seizure outcome and complications in several disconnection surgeries including the functional hemispherotomy for refractory pediatric epilepsy.

The Change of The Effect on The Subcutaneous Fat Area and Visceral Fat Area by The Functional Electrical Stimulation and Aerobic Exercise (기능적 전기 자극과 유산소 운동이 복부비만의 피하지방과 내장지방에 미치는 효과)

  • Oh Sung-tae;Lee Mun-hwan;Park Rae-Joon
    • The Journal of Korean Physical Therapy
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    • v.16 no.1
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    • pp.85-123
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    • 2004
  • Back ground : Subcutaneous fat area is the main factor involved in replacement disease and arteriosclerosis. Simple weight control is the appropriate medical treatment. It's understood that weight reduction does not only reduce the fat concentrations in blood but also reduces blood pressure, improves glucose levels in diabetes patients and reduces incidents of heart disease. there are several methods for reducing fat in the abdominal region but their effectiveness is not folly understood. one method is electrical stimulation of the problem areas. Method : From May 1st 2002 to October 31st. The 15 subjects who received medical examination were aged between 25 and 53 and were of mixed gender. The subjects were divided into two groups one to received functional electrical stimulation and the other a control group. Using Broca's criterion for judging fat grades. I analysed the differences between the two groups before and after the treatment. Subjects received functional electrical stimulation on the abdominal muscle intensity 50Hz. They received this treatment 4 days a week for 40 minutes a day. In the case of aerobic exercise, at the Treadmill, we used it with the intensity of $75\%$ maximum heart rate (220-age). Result 1)After functional electrical stimulation in the case of male subjects, the weight was reduced 1.93kg, obesity $2.60\%$, fat mass 2.73kg, Percent body fat $4.40\%$, waist circumference 6.53cm, circumference of hips 5.53cm. On the other side, the quality of muscle was increased at the rate of 1.03kg, but it's not attentional level. The subcutaneous fat area was reduced by $26.63cm^2$, the visceral fat area was reduced by $43.00cm^2$, In the female subjects, we can see the reduction of fat grade by $26.63cm^2$, the quantity of body fat by 1.5kg, percent body fat by $1.77\%$, circumference of waist by 4.02cm, circumference of hips by 3.67cm, weight by 1.40kg but was increased 0.72kg at the quantity of muscles. We can see the reduction also in the subcutaneous fat area $24.03cm^2$, the visceral fat area by $25.36cm^2$. 2)After aerobic exercise, on the male subjects, we can see reduction of weight by 3.36kg, obesity by $4.00\%$, fat mass by 2.83kg and we can see increase at the soft lean mass by 2.96kg, but we can see reduction, the percent body fat by $3.03\%$, fat distribution by $0.023\%$, circumference of waist by 3.10cm, circumference of hips by 2.23cm. The female subjects show a reduction in the weight by 2.48kg, percent body fat by $2.20\%$, show an increase in the soft lean mass by 1.54kg. We can see a reduction in the quantity of fat mass by 2.32kg, the percent body fat by $2.80\%$, the circumference of waist by 2.16cm, the circumference of hips by 2.68cm, the fat distribution by $0.016\%$, the subcutaneous fat area by $15.25cm^2$ the visceral fat area by $11.52cm^2$. After aerobic exercise, we can't see the attentional change at the total cholesterol, triglyceride, high density lipoprotein cholesterol, low density lipoprotein cholesterol. 3)After the application of functional electrical stimulation and aerobic exercise, in result of measurement on the body ingredient, we could see the weight reduction and increase the quantity of muscle with the male group who exercised aerobic. We can see the attentional rate on the electrical stimulation about abdominal fat rate, circumference of waist, circumference of hips. The other hand, I couldn't see the attentional differences between the two groups in the rate of fatness and quantity of body fat and the rate of body fat. There isn't any attentional difference in the area of fat under skin, on the contrary, There is attentional difference in the fat in the internal organs area at the electrical stimulation site. We can't see the attentional change of total cholesterol, triglyceride, high density lipoprotein cholesterol, low density lipoprotein cholesterol between electrical stimulation and aerobic exercise. 4)After execution of functional electrical stimulation and aerobic exercise, in result of measurement on change of body ingredient among female objects, We could see weight reduction, increase at muscle quantity in the aerobic exercise group. We could see the attentional differences in the rate of fatness, the rate of abdominal region, the circumference which received electrical stimulation. But, we couldn't see the attentional differences between two groups in the quantity of body fatness, the circumference of hips. The subcutaneous fat area doesn't show the attentional differences. On the Contrary, we could see lots of differences in the visceral fat area of the electrical stimulation group. Conclusion The results show that functional electrical stimulation and aerobic exercise have insignificant differences when if comes to total cholesterol, triglyceride, high density lipoprotein cholesterol, low density lipoprotein cholesterol. Though there is affirmative change in body ingredient after both electrical stimulation and aerobic exercise. Functional electrical stimulation is more effective on the subcutaneous fat area and in changing visceral fat area. There fore. It is concluded that the physical therapy is more effective in the treatment of abdominal fatness.

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A Study on the Reduction of Consumer Problems Caused by the Side-effect of Functional Health Foods (건강관련식품 부작용피해 방지를 위한 개선방안)

  • Kim Young Ok;Jae Mie-Kyung;Lee Kyoung Ok
    • Korean Journal of Human Ecology
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    • v.7 no.4
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    • pp.55-69
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    • 2004
  • The purpose of this study is to reduce the side effect of functional health foods. The research is done by in-depth interview method. The nineteen officials who worked in local administration or KFDA(Korea Food & Drug Administration) were interviewed. The questions were asked regarding the current status of consumer reports related to functional health foods, the problems which officials perceived, and the regulations required to reduce the problems. The findings are as follows: 1) the consumers report the side effect of functional health foods to nongovernmental organization. 2) officials feel that the problems are the difficulty in finding the cause of the side effect, unjust sale tactics, deceptive and small-sized manufacturers. and the distorted consumer conception on functional health foods. 3) officials think that improvement on the regulations are required to reduce the problems caused by the side effects. It includes the indication of the ingredient's origin and warnings considering physical conditions, close cowork between administration and nongovernmental organization. introduction of sales license for functional health foods and the increase of the opportunity for consumers to get information and education on functional health foods.

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Selective Reduction of Carbonyl and Epoxy Compounds Using Aluminum, Boron and Other Metal Reagents. Comparison of Reducing Characteristics between the Meerwein-Ponndorf-Verley Type Reduction and Metal Complex Hydrides Reduction: A Review

  • Cha, Jin-Soon
    • Bulletin of the Korean Chemical Society
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    • v.28 no.12
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    • pp.2162-2190
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    • 2007
  • The newly-developed Meerwein-Ponndorf-Verley (MVP) type reagents using aluminum, boron and other metals for reduction of organic functional groups such as carbonyl and epoxy compounds have been surveyed. highlighted and reviewed in this account are the appearance of new MPV type reagents and their application to the selective reduction of organic functions. Finally, this account emphasizes the distinct contrast in the reducing characteristics existed between metal hydride reagents and MPV reagents, and compares their usefulness in organic synthesis.

Data Visualization using Linear and Non-linear Dimensionality Reduction Methods

  • Kim, Junsuk;Youn, Joosang
    • Journal of the Korea Society of Computer and Information
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    • v.23 no.12
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    • pp.21-26
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    • 2018
  • As the large amount of data can be efficiently stored, the methods extracting meaningful features from big data has become important. Especially, the techniques of converting high- to low-dimensional data are crucial for the 'Data visualization'. In this study, principal component analysis (PCA; linear dimensionality reduction technique) and Isomap (non-linear dimensionality reduction technique) are introduced and applied to neural big data obtained by the functional magnetic resonance imaging (fMRI). First, we investigate how much the physical properties of stimuli are maintained after the dimensionality reduction processes. We moreover compared the amount of residual variance to quantitatively compare the amount of information that was not explained. As result, the dimensionality reduction using Isomap contains more information than the principal component analysis. Our results demonstrate that it is necessary to consider not only linear but also nonlinear characteristics in the big data analysis.

Applications of response dimension reduction in large p-small n problems

  • Minjee Kim;Jae Keun Yoo
    • Communications for Statistical Applications and Methods
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    • v.31 no.2
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    • pp.191-202
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    • 2024
  • The goal of this paper is to show how multivariate regression analysis with high-dimensional responses is facilitated by the response dimension reduction. Multivariate regression, characterized by multi-dimensional response variables, is increasingly prevalent across diverse fields such as repeated measures, longitudinal studies, and functional data analysis. One of the key challenges in analyzing such data is managing the response dimensions, which can complicate the analysis due to an exponential increase in the number of parameters. Although response dimension reduction methods are developed, there is no practically useful illustration for various types of data such as so-called large p-small n data. This paper aims to fill this gap by showcasing how response dimension reduction can enhance the analysis of high-dimensional response data, thereby providing significant assistance to statistical practitioners and contributing to advancements in multiple scientific domains.