• Title/Summary/Keyword: point to point (P2P)

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COMMON FIXED POINT THEOREMS FOR TWO SELF MAPS SATISFYING ξ-WEAKLY EXPANSIVE MAPPINGS IN DISLOCATED METRIC SPACE

  • Kim, Jong Kyu;Kumar, Manoj;Preeti, Preeti;Poonam, Poonam;Lim, Won Hee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.271-287
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    • 2022
  • In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps 𝒫 and 𝔔 on a dislocated metric space (M, d*) satisfying the following ξ-weakly expansive condition: d*(𝒫c, 𝒫d) ≥ d* (𝔔c, 𝔔d) + ξ(∧(𝔔c, 𝔔d)), ∀ c, d ∈ M, where $${\wedge}(Qc,\;Qd)=max\{d^*(Qc,\;Qd),\;d^*(Qc,\;\mathcal{P}c),\;d^*(Qd,\;\mathcal{P}d),\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(Qc,\;Qd)},\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(\mathcal{P}c,\;\mathcal{P}d)}\}$$. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

SHAPING ABILITY OF ROOT CANAL INSTRUMENTS ON CURVED ROOT CANALS (수종 근관확대 기구의 만곡된 치근관 성형능력)

  • Kim, Myeong-Su;Son, Ho-Hyun
    • Restorative Dentistry and Endodontics
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    • v.17 no.1
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    • pp.141-152
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    • 1992
  • Four endodontic instruments from different manufacturers(K - file, Hedstrom - file, K - flex - file, Cavi - Endo) were used to shape 80 mesial canals of extracted posterior teeth. The instrument's ability to enlarge and shape the canals as the original canal shape was assessed by superimposing radiographs of canals obtained before and after canal shaping. The results were as follows 1. Hedstrom - file enlarged canals greater than K - file, K - flex - file, and Cavi - Endo(P<0.05). There are no differences in canal enlargement among K - flex, K - flex - file, and Cavi - Endo(P<0.05). 2. All the instruments showed no difference in canal enlargement between convex side and concave side of B point in proximal and clinical radiographic views, but at the concave side of C point canals were enlarged greater than at the convex side(proximal view of K - file: P<0.05, the others: P<0.01). 3. There was no difference m canal enlargement between convex side and concave side in proximal view of A and D points of K - file and K - flex - file(P<0.05). But in clinical view, canal enlargement at convex side of A point and concave side of D point was greater than that at concave side of A point and convex side of D point respectively. 4. Hedstrom - files showed greater canal enlargement at convex side of A points and concave side of D points (P<0.05 or P<0.01). Cavi - Endo showed no difference in canal enlargement between convex side and concave side at A and D points in proximal view(P<0.05). Bur canal enlargement was greater at concave side than at convex side of D point in clinical view. 5. K - file and Cavi - Endo showed no differences in canal enlargement between convex and concave side in proximal and clinical view (P<0.05). K - flex - file showed greater canal enlargement at concave side in proximal and clinical view(P<0.0:5). Hedstrom file showed no difference in canal enlargement between convex side and concave side in proximal view, but showed greater canal enlargement at concave side in clinical view(P<0.05).

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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS

  • Deshpande, Bhavana;Handa, Amrish;Thoker, Shamim Ahmad
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.333-354
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    • 2016
  • We present coincidence point theorem for g-non-decreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X^2{\rightarrow}X$ by using obtained coincidence point results. Furthermore, an example and an application to integral equation are also given to show the usability of obtained results. Our results generalize, modify, improve and sharpen several well-known results.

MULTIPLE SYMMETRIC POSITIVE SOLUTIONS OF A NEW KIND STURM-LIOUVILLE-LIKE BOUNDARY VALUE PROBLEM WITH ONE DIMENSIONAL p-LAPLACIAN

  • Zhao, Junfang;Ge, Weigao
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1109-1118
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    • 2009
  • In this paper, we are concerned with the following four point boundary value problem with one-dimensional p-Laplacian, $\{({\phi}_p(x'(t)))'+h(t)f(t,x(t),|x'(t)|)=0$, 0< t<1, $x'(0)-{\delta}x(\xi)=0,\;x'(1)+{\delta}x(\eta)=0$, where $\phi_p$ (s) = |s|$^{p-2}$, p > $\delta$ > 0, 1 > $\eta$ > $\xi$ > 0, ${\xi}+{\eta}$ = 1. By using a fixed point theorem in a cone, we obtain the existence of at least three symmetric positive solutions. The interesting point is that the boundary condition is a new Sturm-Liouville-like boundary condition, which has rarely been treated up to now.

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PERIMETER CENTROIDS AND CIRCUMSCRIBED QUADRANGLES

  • Ahn, Seung Ho;Jeong, Jeong Sook;Kim, Dong-Soo
    • Honam Mathematical Journal
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    • v.39 no.1
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    • pp.127-136
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    • 2017
  • For a quadrangle P, we consider the centroid $G_0$ of the vertices of P, the perimeter centroid $G_1$ of the edges of P and the centroid $G_2$ of the interior of P, respectively. If $G_0$ is equal to $G_1$ or $G_2$, then the quadrangle P is a parallelogram. We denote by M the intersection point of two diagonals of P. In this note, first of all, we show that if M is equal to $G_0$ or $G_2$, then the quadrangle P is a parallelogram. Next, we investigate various quadrangles whose perimeter centroid coincides with the intersection point M of diagonals. As a result, for an example, we show that among circumscribed quadrangles rhombi are the only ones whose perimeter centroid coincides with the intersection point M of diagonals.

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.

pH Measurement Using Isosbestic Point of Indicator (지시약의 등흡광점을 이용한 용액의 pH 측정)

  • Won-Hyung Choi;Ho-Jang Hur
    • Journal of the Korean Chemical Society
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    • v.33 no.2
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    • pp.203-207
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    • 1989
  • The methyl red stock solution was added to sample solution and the absorbance values of this solution were measured at the maximum absorption wavelengths of the acidic form, the basic form, and the isosbestic point of the indicator. From the measurements of absorbance, the pH of this solution was calculated. The range of absorbance at the isosbestic point was maintained within 0.1 ${\sim}$ 0.3. The error of pH measurement was within ${\pm}0.08$ pH unit in the pH range of sample solution of $pK_I{\pm}1$.

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P Wave Detection based on QRST Cancellation Zero-One Substitution

  • Cho, Ik-Sung
    • Journal of information and communication convergence engineering
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    • v.19 no.2
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    • pp.93-101
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    • 2021
  • Cardiac arrhythmias are common heart diseases and generally cause sudden cardiac death. Electrocardiogram (ECG) is an effective tool that can reveal the electrical activity of the heart and diagnose cardiac arrhythmias. We propose detection of P waves based on QRST cancellation zero-one substitution. After preprocessing, the QRST segment is determined by detecting the Q wave start point and T wave end point separately. The Q wave start point is detected by digital analyses of the QRS complex width, and the T wave end point is detected by computation of an indicator related to the area covered by the T wave curve. Then, we determine whether the sampled value of the signal is in the interval of the QRST segment and substitute zero or one for the value to cancel the QRST segment. Finally, the maximum amplitude is selected as the peak of the P wave in each RR interval of the residual signal. The average detection rate for the QT database was 97.67%.

A Study of Ethical Sense of Value and Discord of the Clinical Nurse (임상간호사(臨床看護師)의 윤리적(倫理的) 가치관(價値觀)과 윤리적(倫理的) 갈등(葛藤)에 관한 연구(硏究))

  • Jong, Heui-Ja;Moon, Heui-Ja
    • Journal of Korean Academy of Nursing Administration
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    • v.1 no.2
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    • pp.349-371
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    • 1995
  • Professional nurse shall possess the firm nursing idea and ethical nursing philosophy based on the professional knowledge and technology but due to the rapid social situations has changed the value to man thus the nurse's sense of value in the nursing secenes has been confused and changed bringing the new ethical problems and discord due to the ethically difficult problems. This study is aimed to know about the discord between the ruling ethical sense of value and the ethical discord exeriencing in the clinical scenes of the nurse and to help them establish affirmative ethical sense of value and provide them with the materials which can effectively meet the ethical discord. The study research has been conducted by selecting 515 clinical nurses in 8 general hospitals as the subject from Mar. 13, 1995 to Apr. 3. The tool measuring the ethical sense of value disigned by Lee, Young Sook has been used and supplemented and the tool measuring the ethical discord was the question papers about the ethical dillemma of Han, Sung Sook. The collected materials have been analyzed by the statistical methods of arithmetical everage, t-test, ANOVA, Pearson's Correlation Coefficient and etc. The result of the study is as the below ; 1) The average point of the ethical sense of value of the nurse was 3.62(maximum point : 5) which showed that the ethical level was so high and the highest question item in the ethical level of the whole items of the ethical sense of value was "They conduct as directed by the doctor in case the disposition of the doctor looks mistaken"(4.56 point), "They keep the secret of the patients while serving them."(4.56) and the lowest item was "using placobo for the patients is not allowed" : (1.85 point). 2) Statistical variation which showed the significant difference in the relation with the ethical sense of value according to the general characters of the nurse has shown as scholarly years(F=3.47, p=.016), religion(F=1.66, p=.004), interest degree of ethical education(F=4.18, p=.006),attitude to the job of nursing(F=6.76, p=.006), ethical standard(F=3.28, p=.021), and recognition degree on ethical principles(F=4.53, p=.001). 3) The average point of the ethical discord of the nurse was 0.54(The maximum-1 point) point and the ethical discord in the clinical scenes : "the problems arising from the lack of manpower of the nurse"(0.86), "the discord from the uncooperative relation between them and the medical staff and"(0.75) and indifference of the doctor about the report of the nurse(0.73). 4) The variation which showed the significant difference statistically in the ethical discord according to the general characters of the nurse was that Age(F=19.88, p=.000), schooling(F=5.32, p=.001), Experience(F=15.77, p=.000), position(F=13.58, p=.000) and ethical standard(F=2.63, p=.049). 5) The results of the analysis of correlation between ethical sense of value and discord(r=0.519, p=.239) showed no significant correlation statistically.

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Traditional Software Development for WLAN Propagation Model

  • Ibrahim Anwar Hassan;Ismail Mahamod;Jumari Kasmiran;Kiong Tiong Sieh
    • Journal of Electrical Engineering and Technology
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    • v.2 no.1
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    • pp.123-128
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    • 2007
  • SPWPM traditional software development is surveyed and essential problems are investigated on the basis of system wireless link considerations. This paper presents the current state software planning tools for wireless LAN link optimization. The software directory is based on combination of MatLab and MapInfo software and measurement which gives the best grouping parameters to build up the software development. Among the requirements assumed, the WLAN site selections must be Line-of-sight (LOS) or near line of sight (NLOS) field strength prediction for either point to point or point to multi points. The results obtainable the out put of the program include two-dimensional (2D) and three dimensional (3D) plots for creating the link; design parameters through GUI representing the height and location for each antenna is depending on K-factor of the area and transmit antenna location.