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MODIFIED DECOMPOSITION METHOD FOR SOLVING INITIAL AND BOUNDARY VALUE PROBLEMS USING PADE APPROXIMANTS

  • Noor, Muhammad Aslam;Noor, Khalida Inayat;Mohyud-Din, Syed Tauseef;Shaikh, Noor Ahmed
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1265-1277
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    • 2009
  • In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

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DISCRETE COMPACTNESS PROPERTY FOR GENERAL QUADRILATERAL MESHES

  • KIM, JI HYUN
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.949-958
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    • 2022
  • The aim of this papaer is to prove the discrete compactness property for modified Raviart-Thomas element(MRT) of lowest order on quadrilateral meshes. Then MRT space can be used for eigenvalue problems, and is more efficient than the lowest order ABF space since it has less degrees of freedom.

Patient-specific implants in reverse shoulder arthroplasty

  • Emil R Haikal;Mohamad Y. Fares;Joseph A. Abboud
    • Clinics in Shoulder and Elbow
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    • v.27 no.1
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    • pp.108-116
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    • 2024
  • Reverse total shoulder arthroplasty (RTSA) is widely popular among shoulder surgeons and patients, and its prevalence has increased dramatically in recent years. With this increased use, the indicated pathologies associated with RTSA are more likely to be encountered, and challenging patient presentations are more likely to be seen. One prominent challenging presentation is RTSA patients with severe glenoid bone loss. Several techniques with varying degrees of invasiveness, including excessive reaming, alternate centerline, bone grafting, and patient-specific implants (PSIs), have been developed to treat patients with this presentation. PSI treatment uses a three-dimensional reconstruction of a computed tomography scan to design a prosthetic implant or component customized to the patient's glenoid morphology, allowing compensation for any significant bone loss. The novelty of this technology implies a paucity of available literature, and although many studies show that PSIs have good potential for solving challenging shoulder problems, some studies have reported questionable and equivocal outcomes. Additional research is needed to explore the indications, outcomes, techniques, and cost-efficiency of this technology to help establish its role in current treatment guidelines and strategies.

The Effects of Proprioceptive Neuromuscular Facilitation Stretching and Ballistic Stretching on Hip Joint Flexibility and Muscle Tone (고유수용성 신경근 촉진 스트레칭 기법과 탄성 스트레칭 기법이 엉덩관절 유연성 및 근 긴장도에 미치는 영향)

  • Tae-Woo Kang;Seo-Yoon Park
    • PNF and Movement
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    • v.22 no.1
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    • pp.71-80
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    • 2024
  • Purpose: The purpose of this study is to compare the effects of proprioceptive neuromuscular facilitation (PNF) stretching, based on ballistic stretching and the contract-relax technique, on hip joint flexibility and muscle tone in adults with shortened rectus femoris muscles. Methods: The study involved 40 adults with shortened rectus femoris muscles, identified using the modified Thomas test. Participants were randomly divided into two groups: PNF stretching, employing the contract-relax technique, and ballistic stretching. Measurements included muscle tension, hip joint range of motion, and muscle characteristics. The rectus femoris muscle shortening effect was confirmed by the modified Thomas test, while the flexibility effect was assessed through hip joint motion range. The muscle tension effect was determined using Myoton-PRO. Results: Both stretching methods resulted in significant improvements in modified Thomas test angles and frequency, with the PNF stretching group showing notably greater changes. However, neither stretching method significantly affected decrement or stiffness measurements. These findings suggest that PNF stretching may be more effective for certain outcomes compared to ballistic stretching. Conclusion: In summary, both stretching methods positively influenced flexibility and muscle tension, with PNF stretching showing a greater impact. These findings highlight the importance of selecting the appropriate stretching technique for achieving functional improvements in muscles, which could serve as valuable indicators for preventing and treating muscle injuries in both sports and daily activities.

Protective Effects of Adenosine-enriched Cardioplegic Solution in Ischemic Myocardium (Adenosine을 함유한 심정지액의 심근보호 효과)

  • 이호철;정태은
    • Journal of Chest Surgery
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    • v.29 no.2
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    • pp.199-207
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    • 1996
  • Ischemic myocardial damage is inevitable to cardiac surgery. Myocardial damage after initiation of reperfusion through the coronary arteries is one of the most important determinants of a successful surgery. Adenosine is a potent vasodilator, and is also known to induce rapid cardioplegic arrest by its property of antagonizing cardiac calcium channels and activating the potassium channel. Thus, we initiated this study with adenosine to improve postischemic recovery in the isolated rat heart. We tested the hypothesis that adenosine could be more effective than potassium in inducing rapid cardiac arrest and enhancing postischemlc hemodynamic recovery. Isolated rat hearts, connected to the Langendorff appratus, were perfused with Krebs-Henseleit buffer and all hearts were subjected to arrest for 60 minutes. Three groups of hearts were studied according to the composition of cardioplegic solutions : Group A (n=10), adenosine 10mmo1/L+potassium free modified St. Thomas cardioplegia : Group B (n=10), adenosine 400mo1/L+S1. Thomas cardioplegia:Group C(control, n=10), St. Thomas cardioplegia. Adenosine-treated groups (group A & B) resulted in more rapid cardiac arrest than control group (C) (p< 0.01). There was greater improvement in recovery of coronary blood flow at 20 and 30 minutes of reperfusion in group A and at 20 minutes in group B when compared with control group(p<0.01). Recovery of systolic blood pressure at 10 minutes after reperfusion in group A and B was significantly superior to that in group C (p<0.01). Recovery of dp/dt at 10 minute after reperfusion in group A was also significantly superior to group C (p<0.05). Group A and B showed better recovery rates than control group in aortic blood flow, cardiac output, and heart rate, but there were no statistical differences. CPK levels of coronary flow in group A were significantly low (p< 0.01). We concluded that adenosine-enriched cardioplegic solutions have better effects on rapid cardiac arrest and postischemic recovery when compared with potassium cardioplegia.

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A Brief Sketch of Architectural Works Copyright with the United States Cases: Analysis based on Thomas Shine v. David M. Childs and Skidmore Owings & Merrill, LLP Case

  • Moon, Hwakyung
    • Architectural research
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    • v.9 no.1
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    • pp.1-8
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    • 2007
  • These days the copyright plays a significant role in various fields of creative works and it has expanded dramatically into unprecedented ways. In Korea, architectural works copyright cases are rare due to the lack of information and understanding of the architectural works copyright. Architectural works copyright can promote architects' creative activities and enhance the quality of architectural works as art. Nevertheless, there is little effort to advance the studies of architectural works copyright in the architectural design area. Under these circumstances, this research attempts to share the basic case laws and remedies for various architectural works copyright issues in the U.S. cases. This Article examines the Thomas Shine v. David M. Childs and Skidmore Owings & Merrill, LLP Case which is the most recent case as I could reach. This case is about a story between two architects, one is from a very prestigious architectural design firm and the other, once Yale Architectural student, now practices his design work as an up-and-coming architect. A close examination of this case will provide a legal and architectural spectrum of copyright. That is, it will make it more specific how to solve the copyright infringement. Artistic and technological contexts are overlapped in Architectural works copyright as its inherent characteristics. Therefore, different ways from other copyrighted works are needed to access the untangled equations of the architectural works copyright protection. In addition, more comprehensible and specific regulations that can impose a remedy more suited to the architectural works copyright violations are needed and they should enable architects to fulfill their architectural activities under wide range of copyright protection. Moreover, in prior to all efforts to handle those equations, fundamental knowledge of architectural works copyright is required to improve the copyright protection in the architectural design area as well as to provide for the globalizing design practice. Ultimately, all of these efforts will be rewarded when constant researches based on Korean and other countries' architectural copyright cases can support them and it would be great if this research can set the stage for resolving expected copyright conflicts within the architectural design area.

A Study on the Priority and Evaluation Criteria of the Korea Export Insurance System (수출보험제도 기능의 우선순위 및 평가기준에 관한 연구)

  • Son, Yong-Jung
    • International Commerce and Information Review
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    • v.13 no.1
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    • pp.179-196
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    • 2011
  • This study aims to measure the relative importance of trade insurance using AHP developed by Thomas Saaty of Pennsylvania in early 1970s. Moreover, it provides help in the development of a comprehensive strategy of trade insurance. To obtain priority of trade insurance in its functions, this study discovered significance and relative importance of two evaluation standards and four individual evaluation items. Of the two evaluation standards, importance of credit exposure was 63%. It was discovered that it was more important than political means (37%). Of the four individual evaluation items, importance of banking supplementation was 60%. It was more important than credit investigation of overseas traders (40%). Importance of trade promotion policy was 69%, which was more important than removal of anxiety in trade (31%). As a result of comparing priorities of the f tire evaluation items, priority of banking supplementation was 38% followed by trade promotion policy means (26%), credit investigation of overseas traders (25%) and removal of anxiety in trade (12%).

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Paradigm and Pan-paradigm in Mathematics and Architecture (수학과 건축의 패러다임과 범 패러다임)

  • Kye, Young Hee
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.165-177
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    • 2013
  • Mathematics teaching is often more effective when teachers connect the contents of mathematics with history, culture, and social events. In the history of mathematics, the 'paradigm' theory from Thomas Kuhn's scientific revolution is very effective to explain the revolutionary process of development in mathematics, and his theory has been widely quoted in the history of science and economics. However, it has not been appropriate to use his theory in the other fields. This is due to the fact that the scope of Kuhn's paradigm theory is limited to mathematics and science. In this study, this researcher introduced pan-paradigm as a general concept that encompasses all, since through any relation in the field of mathematics and architecture, Thomas Kuhn's theory of paradigm does not explain the phenomena. That is, at the root of various cultures there exist always a 'collective unconsciousness' and 'demands of the times,' and these two factors by synergism form values and controlling principles common to various parts of the culture, and this synergism leads the cultural activities, the process of which is a phenomenon called pan-paradigm.

Price Forecasting on a Large Scale Data Set using Time Series and Neural Network Models

  • Preetha, KG;Remesh Babu, KR;Sangeetha, U;Thomas, Rinta Susan;Saigopika, Saigopika;Walter, Shalon;Thomas, Swapna
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.12
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    • pp.3923-3942
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    • 2022
  • Environment, price, regulation, and other factors influence the price of agricultural products, which is a social signal of product supply and demand. The price of many agricultural products fluctuates greatly due to the asymmetry between production and marketing details. Horticultural goods are particularly price sensitive because they cannot be stored for long periods of time. It is very important and helpful to forecast the price of horticultural products which is crucial in designing a cropping plan. The proposed method guides the farmers in agricultural product production and harvesting plans. Farmers can benefit from long-term forecasting since it helps them plan their planting and harvesting schedules. Customers can also profit from daily average price estimates for the short term. This paper study the time series models such as ARIMA, SARIMA, and neural network models such as BPN, LSTM and are used for wheat cost prediction in India. A large scale available data set is collected and tested. The results shows that since ARIMA and SARIMA models are well suited for small-scale, continuous, and periodic data, the BPN and LSTM provide more accurate and faster results for predicting well weekly and monthly trends of price fluctuation.

High-Pixel-Density PenTile $Matrix^{TM}$ RGBW Displays for Mobile Applications

  • Credelle, Thomas.L.;Brown Elliott, Candice.H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07b
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    • pp.867-872
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    • 2005
  • High-pixel-density displays are now under development to meet the needs of next-generation mobile devices; methods to more efficiently build such displays are described. Displays based on subpixel rendering and RGBW technologies, known as PenTile $Matrix^{TM}$ RGBW, are shown to offer the best approach to meeting the demanding requirements of low manufacturing cost, high brightness, and low power.

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