• Title/Summary/Keyword: proof process

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STRONG CONVERGENCE OF MONOTONE CQ ITERATIVE PROCESS FOR ASYMPTOTICALLY STRICT PSEUDO-CONTRACTIVE MAPPINGS

  • Zhang, Hong;Su, Yongfu;Li, Mengqin
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.763-771
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    • 2009
  • T.H. Kim, H.K. Xu, [Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions, Nonlinear Anal.(2007),doi:l0.l016/j.na.2007.02.029.] proved the strong convergence for asymptotically strict pseudo-contractions by the classical CQ iterative method. In this paper, we apply the monotone CQ iterative method to modify the classical CQ iterative method of T.H. Kim, H.K. Xu, and to obtain the strong convergence theorems for asymptotically strict pseudo-contractions. In the proved process of this paper, Cauchy sequences method is used, so we complete the proof without using the demi-closedness principle, Opial's condition or others about weak topological technologies. In addition, we use a ingenious technology to avoid defining that F(T) is bounded. On the other hand, we relax the restriction on the control sequence of iterative scheme.

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Understanding the properties of geometric figures through the linear transformation and its implication for school mathematics (일차변환 관점에서의 도형의 성질 이해 및 학교수학에의 시사점)

  • Hong, Gap-Ju
    • The Mathematical Education
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    • v.47 no.4
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    • pp.437-445
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    • 2008
  • On the basis of the meaning and general process of geometric proof through transformation concept and understanding the geometric properties of linear transformation, this study showed that the centroid of geometrical figure and certain properties of a parabola and an ellipse in school mathematics can be explained as a conservative properties through linear transformation. From an educational perspective, this is a good example of showing the process of how several existing individual knowledge can be reorganized by a mathematical concept. Considering the fact that mathematical usefulness of linear transformation can be revealed through an invariable and conservation concept, further discussion is necessary on whether the linear transformation map included in the former curriculum have missed its point.

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Collision Performance Analysis of Kevlar Bulletproof Material Impregnated with Shear Thickening Fluid (전단농화 유체가 함침된 케블라 방탄재의 충돌 성능해석)

  • Cho, Hee-Keun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.6
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    • pp.21-28
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    • 2017
  • This study investigated Kevlar fabric impregnated with shear thickening fluid (STF). The STF performance was assessed by comparing bullet-proof characteristics of STF impregnated and pure Kevlar material. The analysis employed a circular steel ball as the nominal warhead, and bulletproof characteristics were evaluated by the warhead residual velocity. Various initial velocity conditions were employed, with different bulletproof characteristics apparent for each velocity region. The results of this study provide effective data for future bulletproof material design and application.

A class of CUSUM tests using empirical distributions for tail changes in weakly dependent processes

  • Kim, JunHyeong;Hwang, Eunju
    • Communications for Statistical Applications and Methods
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    • v.27 no.2
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    • pp.163-175
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    • 2020
  • We consider a wide class of general weakly-dependent processes, called ψ-weak dependence, which unify almost all weak dependence structures of interest found in statistics under natural conditions on process parameters, such as mixing, association, Bernoulli shifts, and Markovian sequences. For detecting the tail behavior of the weakly dependent processes, change point tests are developed by means of cumulative sum (CUSUM) statistics with the empirical distribution functions of sample extremes. The null limiting distribution is established as a Brownian bridge. Its proof is based on the ψ-weak dependence structure and the existence of the phantom distribution function of stationary weakly-dependent processes. A Monte-Carlo study is conducted to see the performance of sizes and powers of the CUSUM tests in GARCH(1, 1) models; in addition, real data applications are given with log-returns of financial data such as the Korean stock price index.

The Principles of Records Classification : Compares with Librarian Materials (기록물분류의 원리 : 문헌분류와의 비교)

  • Lee, Won-Young
    • The Korean Journal of Archival Studies
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    • no.2
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    • pp.103-128
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    • 2000
  • The classification of records is basically different from that of librarian materials because records have a nature of spontaneous and correlated product made during the process of work, as well as a value of proof and information. Hence the main task of archival management institute is to classify those records through the process of transfer and receipt for the purpose of reservation and utilization of their value. Therefore, the records should be classified by the manner, which reflects the function and organization of producing institute, and in turn, the principles of producing site and original record order should be maintained for this purpose. The characteristics of librarian materials and records and the tasks of management institutes form the basis of very different principles. The records can present the characteristics of producing institute and maintain the value made by the correlated nature as they are classified, managed and preserved by the above principles, In addition, it is known how and why they were produced and utilized, as well as they can be preserved in original form and effectively arranged, recorded and managed.

Mechanical Tenacity Analysis of Moisture Barrier Bags for Semiconductor Packages

  • Kim, Keun-Soo;Kim, Tae-Seong;Min Yoo;Yoo, Hee-Yeoul
    • Journal of the Microelectronics and Packaging Society
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    • v.11 no.1
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    • pp.43-47
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    • 2004
  • We have been using Moisture Barrier Bags for dry packing of semiconductor packages to prevent moisture from absorbing during shipping. Moisture barrier bag material is required to be waterproof, vapor proof and offer superior ESD (Electro-static discharge) and EMI shielding. Also, the bag should be formed easily to the shape of products for vacuum packing while providing excellent puncture resistance and offer very low gas & moisture permeation. There are some problems like pinholes and punctured bags after sealing and before the surface mount process. This failure may easily result in package pop corn crack during board mounting. The bags should be developed to meet the requirements of excellent electrical and physical properties by means of optimization of their raw material composition and their thickness. This study investigates the performance of moisture barrier bags by characterization of their mechanical endurance, tensile strength and through thermal analysis. By this study, we arrived at a robust material composition (polyester/Aluminate) for better packing.

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Wastewater treatment using a hybrid process coupling adsorption on marl and microfiltration

  • Maimoun, Bakhta;Djafer, Abderrahmane;Djafer, Lahcene;Marin-Ayral, Rose-Marie;Ayral, Andre
    • Membrane and Water Treatment
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    • v.11 no.4
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    • pp.275-282
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    • 2020
  • Hranfa's marl, a local natural mineral, is selected for the decontamination by adsorption of aqueous effluents in textile industry. Its physicochemical characterization is first performed. It is composed mainly of Calcite, Quartz, Ankerite and Muscovite. Its specific surface area is 40 ㎡ g-1. Its adsorption performance is then tested in batch conditions using an industrial organic dye, Bemacid Red E-TL, as a model pollutant. The measured adsorption capacity of Hranfa's marl is 16 mg g-1 which is comparable to that of other types of natural adsorbents. A hybrid process is tested coupling adsorption of the dye on marl in suspension and microfiltration. An adsorption reactor is inserted into the circulation loop of a microfiltration pilot using ceramic membranes. This makes possible a continuous extraction of the treated water provided that a periodic replacement of the saturated adsorbent is done. The breakthrough curve obtained by analyzing the dye concentration in the permeate is close to the ideal one considering that no dye will cross the membrane as long as the adsorbent load is not saturated. These first experimental data provide proof of concept for such a hybrid process.

Immunomodulatory properties of medicinal maggots Lucilia sericata in wound healing process

  • Bohova, Jana;Majtan, Juraj;Takac, Peter
    • CELLMED
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    • v.2 no.3
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    • pp.23.1-23.7
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    • 2012
  • The healing properties of medicinal maggots (larval stage of Lucilia sericata) are widely used in the chirurgical debridement of non-healing wounds including diabetic foot ulcers, venous and pressure ulcers, where classical approaches have failed. Several kinds of wounds are prone to complications coming out of a specific wound bed environment. There are multi-resistant bacterial species present, their pathogenic impact is multiplied by their ability to form a biofilm. Moreover, immunological events in chronic wounds differ from those in acute wounds. Non-healing wounds are cycled in the early inflammation phase with increased levels of inflammation attributes like inflammation cytokines and matrix metalloproteinases produced by inflammation phase cells. Application of larval therapy promotes progress in the healing process to the next stages involving tissue granulation and re-epithelisation. Larval debridement is an effective method of cleaning the wound of cell debris, necrotic tissue and bacterial load. This happens in a mechanical and biological manner, but the whole complex mechanism of the maggot healing activity is still not fully elucidated. Centuries of clinical practice brings noticeable proof of the maggots' beneficial effect in wound healing management. This long history led to the investigation of the bioactive components of the larval body and its extracts in vitro. We introduce a review which describes the immunomodulation impact of maggot body components on the cellular and molecular levels of the wound healing process.

Implementation of Statistical Significance and Practical Significance Using Research Hypothesis and Statistical Hypothesis in the Six Sigma Projects (식스시그마 프로젝트에서 연구가설과 통계가설에 의한 통계적 유의성 및 실무적 유의성의 적용방안)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.15 no.1
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    • pp.283-292
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    • 2013
  • This paper aims to propose a new steps of hypothesis testing using analysis process and improvement process in the six sigma DMAIC. The six sigma implementation models proposed in this paper consist of six steps. The first step is to establish a research hypothesis by specification directionality and FBP(Falsibility By Popper). The second step is to translate the research hypothesis such as RHAT(Research Hypothesis Absent Type) and RHPT(Research Hypothesis Present Type) into statistical hypothesis such as $H_0$(Null Hypothesis) and $H_1$(Alternative Hypothesis). The third step is to implement statistical hypothesis testing by PBC(Proof By Contradiction) and proper sample size. The fourth step is to interpret the result of statistical hypothesis test. The fifth step is to establish the best conditions of product and process conditions by experimental optimization and interval estimation. The sixth step is to draw a conclusion by considering practical significance and statistical significance. Important for both quality practitioners and academicians, case analysis on six sigma projects with implementation guidelines are provided.

Trust on Superiors and Organizational Effectiveness (공공조직에서 상사신뢰와 조직유효성에 미치는 영향)

  • Hong, Soon-Bok
    • The Journal of the Korea Contents Association
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    • v.7 no.3
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    • pp.197-206
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    • 2007
  • The high commitment of a revenue officer makes to raise efficiency, can be directly related to task result and validity. The fundamental process through trust in superior, consisting the core of tax execution, needs to be studied significantly. This study is proposed to verify the practical influence of trust in superior with respect to productivity, participation in decision-making, and concentration. These factors are important prerequisites with respect to task processing of a tax revenue officer. As the result of analysis, the more trust in superior effects on the statue of productivity, participation in decision-making and concentration. It is the proof that the trust in superior procedure contributes in the aspects of productivity, participation in decision-making and concentration through the process of encouraging organizational validity.