• Title/Summary/Keyword: p-point

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COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.21 no.3
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    • pp.165-181
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    • 2014
  • We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS

  • Yoonweon Lee
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.1
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    • pp.1-17
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    • 2024
  • The boundary conditions $\tilde{P}_0$ and $\tilde{P}_1$ were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.

Smart and Secure Point of Sale Framework with Threat Modeling and Formal Verification

  • Mona faraj Nasser alwahabi;Shaik Shakeel Ahamad
    • International Journal of Computer Science & Network Security
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    • v.24 no.6
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    • pp.41-48
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    • 2024
  • Existing PoS (Point of Sale) based payment frameworks are vulnerable as the Payment Application's integrity in the smart phone and PoS are compromised, vulnerable to reverse engineering attacks. In addition to these existing PoS (Point of Sale) based payment frameworks do not perform point-to-point encryption and do not ensure communication security. We propose a Smart and Secure PoS (SSPoS) Framework which overcomes these attacks. Our proposed SSPoS framework ensures point-to-point encryption (P2PE), Application hardening and Application wrapping. SSPoS framework overcomes repackaging attacks. SSPoS framework has very less communication and computation cost. SSPoS framework also addresses Heartbleed vulnerability. SSPoS protocol is successfully verified using Burrows-Abadi-Needham (BAN) logic, so it ensures all the security properties. SSPoS is threat modeled and implemented successfully.

Basic Studies on the Consumptive Use of Water Required for Dry Field Crops (2) -Garlic and Cucumber- (밭작물소비수량에 관한 기초적 연구(II)-마늘 및 오이-)

  • 김철기;김진한;정하우;최홍규;권영헌
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.31 no.3
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    • pp.41-56
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    • 1989
  • The purpose of this study is to find out the basic data for irrigation plans of garlic and cucumber during the growing period, such as total amount of evapotranspiration, coefficients of evapotranspiration at each growth stage, the peak stage of evapotranspiration and the maximum evapotranspiraton, optimum irrigation point, total readily available moisture, and intervals of irrigation date. The plots of experiment were arranged with split plot design which were composed of two factors, irrigation point for main plot and soil texture for split plot, and three levels ; irrigation points with pP 1.7-2.1, pP 2.2-2.5, pP 2.6-2.8, for garlic and those with pP 1.9, pF 2.3, pP 2.7, for cucumber, soil textures of silty clay, sandy loam and sandy soil for both garlic and cucumber, with two replications. The results obtained are summarized as follows 1.There was the highest significant correlation between the avapotranspiration of garlic and cucumber and the pan evaporation, beyond all other meteorological factors considered, as mentioned in the previous paper. Therefore, the pan evaporation is enough to be used as a meteorological index measuring the quantity of evapotranspiration. 2.1/10 probability values of maximum total pan evaporation during growing period for garlic and cucumber were shown as 495.8mm and 406.8mm, respectively, and those of maximum ten day pan evaporation for garlic and cucumber, 63.8mm and 69.7mm, respectively. 3.The time that annual maximum of ten day pan evaporation can be occurred, exists at any stage between the middle of May and the late of June(harvest period) for garlic, and at any stage of growing period for cucumber. 4.The magnitude of evapotranspiration and of its coefficient for garlic and cucumber was occurred in the order of pF 1.7-2.1>pF 2.2-2.5>pF 2.6-2.8 and of pF 1.9>pF 2.3>pF2.7 respectively in aspect of irrigation point and of sandy loam>silty clay>sandy soil in aspect of soil texture for both garlic and cucumber. 5.The magnitude of leaf area index was shown in the order of pF 2.2-2.5>pF 1.7-2.1>pF 2.6-2.8 for garlic and of pF 1.9>pF 2.3>pF 2.7 for cucumber in aspect of irrigation point, and of sandy loam>sandy soil>silty clay in aspect of soil texture for both garlic and cucumber. 6.1/10 probability value of evapotranspiration and its coefficient during the growing period for garlic were shown as 391.7mm and 0.79 respectively, while those of cucumber, 423.lmm and 1.04 respectively. 7.The time the maximum evapotranspiration of garlic can be occurred is at the date of thirtieth before harvest period and the time for cucumber is presumed to be at the date of sixtieth to seventieth after transplanting, At that time, 1/10 probability value of ten day evapotranspiration and its coefficient for garlic is presumed to be 65.lmm and 1.02 respectively, while those of cucumber, 94.8mm and 1.36 respectively. 8.In aspect of irrigation point, the weight of raw garlic and cucumber were increased in the order of pF 2.2-2.5>pF 1.7-2.1>pF 2.6-2.8 and of pF 1.9>pF 2.3>pF 2.7 respectively. Therefore, optimum irrigation point for garlic and cucumber is presumed to be pF 2.2-2.5 and pF 1.9 respectively, when the significance of yield between the different irrigation treatments is considered. 9.Except the mulching period of garlic that soil moisture extraction patterns were about the same, those of garlic and cucumber have shown that maximum extraction rate exists at 7cm deep layer at the beginning stage after removing mulching for garlic and at the beginning stage of growth for cucumber and that extraction rates of 21cm to 35cm deep layer are increased as getting closer to the late stage of growth. 10.Total readily available moisture of garlic in silty clay, sandy loam, sandy soil become to be 18.71-24.96mm, 19.08-25.43mm, 10.35- 13.80mm respctively on the basis of the optimum irrigation point with pF 2.2-2.5, while that of cucumber, 11.8lmm, 12.03mm, 6.39mm respectively on the basis of the optimum irrigation point with pF 1.9. 11.The intervals of irrigation date of garlic and cucumber at the growth stage of maximum consumptive use become to be about three and a half days and one and a half days respectively, on the basis of each optimum irrgation point.

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A WEAK COMMON FIXED POINT THEOREM IN NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.573-581
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    • 1997
  • In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.

The Measurement of Flash Point for Unflammable-Flammable Binary Mixtures(CCl4+o-Xylene and CCl4+p-Xylene) Using Open Cup Tester (개방식 장치를 이용한 난연성-가연성 이성분계 혼합물(CCl4+o-Xylene and CCl4+p-Xylene)의 인화점 측정)

  • Kim, Chang-Seob;Lee, Sungjin;Ha, Dong-Myeong
    • Journal of Energy Engineering
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    • v.24 no.4
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    • pp.18-23
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    • 2015
  • The flash point is used to categorize inflammable liquids according to their relative flammability. The flash point is important for the safe handling, storage, and transportation of inflammable liquids. The flash point temperature of two binary liquid mixtures($CCl_4+o-xylene$ and $CCl_4+p-xylene$) has been measured for the entire concentration range using Tag open cup tester. The flash point temperature was estimated using Raoult's law, UNIQUAC model and empirical equation. The experimentally derived flash point was also compared with the predicted flash point. The empirical equation is able to estimate the flash point fairly well for $CCl_4+o-xylene$ and $CCl_4+p-xylene$ mixture.

A CEPHALOMETRIC STUDY ON THE SOFT-TISSUE PROFILE CHANCES FOLLOWING THE INCISOR RETRACTION (전치부 후방이동에 따른 연조직 측모 변화의 두부방사선 계측학적 연구)

  • Ha, Jeong-Kuk;Cha, Kyung-Suk
    • The korean journal of orthodontics
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    • v.24 no.3 s.46
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    • pp.547-554
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    • 1994
  • This study was carried out in order to find out the soft tissue profile changes associated with maxillary incisor retraction in Angle's class I malocclusion patients. For this study fifty two female adult patients (Maximum Retraction Group 23, Minimum Retraction Group 29) who received orthodontic treatment were chosen. Following conclusions were obtained by analysing the changes of soft tissue and hard tissue before and after treatment. 1. When considering the mean changes of soft tissue and hard tissue, UP, LIP, Ls, Li (p<0.001), Point B, Si (p<0.01), Point A, Ss (p<0.05) were significant posterior movement in Maximum Retraction Group and UIP (p<0.001), LIP, Ls, Li (p<0.01), Point B, Si (p<0.05) were significant posterior movement in Minimum Retraction Group. 2. When considering the correlations between hard tissue and soft tissue changes, greater correlations were found in Minimum Retraction Group between UIP and Ls (p<0.01), Point A and Ss, UIP and Li, Point B and Si (p<0.05) than Minimum Retraction Group. 3. Correlations (p<0.01) were found between upper incisor retraction and posterior movement of the upper and lower lip in Thin Lip-Thickness Group, whereas no significant correlations were found in Thick Lip-Thickness Group. 4. Mean changes of the soft tissue thickness subsequent to incisor retraction were increased (p<0.01) in upper lip (Ls-Ls'), whereas no changes were found in lower lip.

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The Measurement of Flash Point for Binary Mixtures of 2,2,4-Trimethylpentane, Methylcyclohexane, Ethylbenzene and p-xylene at 101.3 kPa

  • Hwang, In Chan;In, Se Jin
    • Clean Technology
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    • v.26 no.4
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    • pp.279-285
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    • 2020
  • Laboratories and industrial processes typically involve the use of flammable substances. An important property used to estimate fire and explosion risk for a flammable liquid is the flash point. In this study, flash point data at 101.3 kPa were determined using a SETA closed cup flash point tester on the following solvent mixtures: {2,2,4-trimethylpentane + methylcyclohexane}, {2,2,4-trimethylpentane + ethylbenzene}, and {2,2,4-trimethylpentane + p-xylene}. The purpose of this work is to obtain flash point data for binary mixtures of 2,2,4-trimethylpentane with three hydrocarbons (methylcyclohexane, ethylbenzene, and p-xylene), which are representative compounds of the main aromatic hydrocarbon fractions of petroleum. The measured flash points are compared with the predicted values calculated using the GE models' activity coefficient patterns: the Wilson, the Non-Random Two-Liquid (NRTL), and the UNIversal QUAsiChemical (UNIQUAC) models. The non-ideality of the mixture is also considered. The average absolute deviation between the predicted and measured lower flash point s is less than 1.99 K, except when Raoult's law is calculated. In addition, the minimum flash point behavior is not observed in any of the three binary systems. This work's predicted results can be applied to design safe petrochemical processes, such as identifying safe storage conditions for non-ideal solutions containing volatile components.

Effects of Functional Insole Application Using the Hallux Point on Dynamic Balance (할룩스 포인트를 이용한 기능성 인솔 착용 시 동적균형에 미치는 영향)

  • Su-Kyoung Lee;Im-Rak Choi
    • PNF and Movement
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    • v.22 no.2
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    • pp.267-274
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    • 2024
  • Purpose: The purpose of this study was to determine the effects of functional insole application using a hallux point on dynamic balance. Methods: Twenty-nine participated in this study. The experiment investigated changes in dynamic balance with the use of a functional insole that emphasized the hallux point. After explaining the experiment to the subjects, the Y-balance test was conducted to measure dynamic balance before the insole was applied. The test was then repeated after the functional insole with the hallux point was. Paired t-tests were used to analyze the statistical differences before and after the application of the functional insole with the hallux point. Results: The functional insole that emphasizes the hallux point significantly increased the distance in the anterior (p<0.05), posteromedial (p<0.05), posterolateral (p<0.05) directions as well as the composite score measured by the Y-balance test compared to before the insole application. Conclusion: The use of a functional insole that emphasizes the hallux point can help the foot pronate during dynamic balance, thereby improving balance through the control of the sole.