• Title/Summary/Keyword: coincidence index

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A relative nielsen number in coincidence theory

  • Jang, Chan-Gyu;Lee, Sik
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.171-181
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    • 1995
  • Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

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On the fixed-point theorems on the infrasolvmanifolds

  • Chun, Dae-Shik;Jang, Chan-Gyu;Lee, Sik
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.681-688
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    • 1995
  • Fixed-point theory has an extension to coincidences. For a pair of maps $f,g:X_1 \to X_2$, a coincidence of f and g is a point $x \in X_1$ such that $f(x) = g(x)$, and $Coin(f,g) = {x \in X_1 $\mid$ f(x) = g(x)}$ is the coincidence set of f and g. The Nielsen coincidence number N(f,g) and the Lefschetz coincidence number L(f,g) are used to estimate the cardinality of Coin(f,g). The aspherical manifolds whose fundamental group has a normal solvable subgroup of finite index is called infrasolvmanifolds. We show that if $M_1,M_2$ are compact connected orientable infrasolvmanifolds, then $N(f,g) \geq $\mid$L(f,g)$\mid$$ for every $f,g : M_1 \to M_2$.

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A Study of Business Cycle Index Using Dynamic Factor Model (동태적 요인모형을 이용한 경기동행지수 개발에 관한 연구)

  • Na, In-Gang;Sonn, Yang-Hoon
    • Environmental and Resource Economics Review
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    • v.9 no.5
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    • pp.903-924
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    • 2000
  • This paper examines the alternative method to measure the state of overall economic activity. The macroeconomic variables, used for business cycle, take more than a month after a period for collection and aggregation. The electricity generation data is compiled in mechanical ways just after the period. Based on this fact, we develop the two stage estimation method for coincident economic indicators in order to detect the business cycle in an earlier period, using Stock-Watson's Dynamic Factor Model. Using monthly data from 1970 to 1999, it is found that the experimental coincidence economic indicators are well-fitted to data and also that the estimates of two stage estimation method have good explanatory power, equivalent to the experimental coincidence economic indicators. While the RMSE of coincidence economic indicators is found to be 1.27%, that of the experimental coincidence economic indicators is found to be 1.31% and that of the two stage estimation method is around 1.44%. If we take consideration into the fact that it measures the business cycle in one month earlier, we come to the conclusion that the two stage estimation is of great use.

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THE LEAST NUMBER OF COINCIDENCES WITH A COVERING MAP OF A POLYHEDRON

  • Jezierski, Jerzy
    • Journal of the Korean Mathematical Society
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    • v.36 no.5
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    • pp.911-921
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    • 1999
  • We define the coincidence index of pairs of maps p, f : $\widetilde{X}$ $\rightarrow$ X where p is a covering of a polyhedron X. We use a polyhedral transversality Theorem due to T. Plavchak. When p=identity we get the classical fixed point index of self map of polyhedra without using homology.

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Coincidence of calcified carotid atheromatous plaque, osteoporosis, and periodontal bone loss in dental panoramic radiographs

  • Ramesh, Aruna;Soroushian, Sheila;Ganguly, Rumpa
    • Imaging Science in Dentistry
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    • v.43 no.4
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    • pp.235-243
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    • 2013
  • Purpose: This study was performed to assess the correlation of calcified carotid atheromatous plaque (CCAP), the mandibular cortical index, and periodontal bone loss in panoramic radiographs. Materials and Methods: One hundred eighty-five panoramic radiographs with CCAP and 234 without this finding were evaluated by 3 observers for the presence of osseous changes related to osteoporosis and periodontal bone loss. Chi-squared and Mann-Whitney U tests were used to compare the two groups for an association of CCAP with the mandibular cortical index and periodontal bone loss, respectively. Results: There was a statistically significant coincidence of CCAP and osseous changes related to osteopenia/osteoporosis, with a p-value <0.001. There was no statistically significant coincidence of CCAP and periodontal bone loss. When comparing the 2 groups, "With CCAP" and "Without CCAP", there was a statistically significant association with the mean body mass index (BMI), number of remaining teeth, positive history of diabetes mellitus, and vascular accidents. There was no statistically significant association with gender or a history of smoking. Conclusion: This study identified a possible concurrence of CCAP and mandibular cortical changes secondary to osteopenia/osteoporosis in panoramic radiographs. This could demonstrate the important role of dental professionals in screening for these systemic conditions, leading to timely and appropriate referrals resulting in early interventions and thus improving overall health.

Interrater Reliability of Upper Extremity Function Assessment on Stroke (뇌졸중 환자에 대한 상지기능 평가도구의 검사자간 신뢰도)

  • Hwang, Seong-Soo;Kim, Pu-Reum;Won, Ji-In;Yoo, Seon-Ju;Yoon, Jun-Byung;Lee, Keun-Woo;Lee, Wang-Jae
    • PNF and Movement
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    • v.10 no.1
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    • pp.1-7
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    • 2012
  • Purpose : To verify the interrater reliability of upper extremity function assessment among three tools(Wolf motor function test, Motor assessment scale, Fugl-meyer assessment scale). Methods : The subjects of this study 40 (20 was physical therapists and 20 was physical therapy students). For the test one patients with chronic hemiparesis after stroke participated in the study. The Wolf Motor Function Test consists of 16 functional tasks. The motor assessment scale consists of 3 functional tasks. The fugl-meyer assessment scale consists of 8 functional tasks. All test sessions were videotaped and scored by 40 subjects. Analysis : The data was analysis by SPSS PC 14.0 with Cronbach alpha Coefficients, intraclass Correlation Coefficients Kendall tau-b value. Results : WMFT was highly scored in Cronbach's value, Cronbach's ${\alpha}=0.819$ that means high interrater reliability among assessment. WMFT was highly scored all items in p-value except one item, that means high p-value between therapists and students. WMFT was highly scored in Intrarater correlation coefficient (ICC) = 0.79, that means high interrater reliability of each examination item. WMFT was low index of coincidence from all items, MAS was low index of coincidence from a tim and FMA was low index of coincidence from 4 items. Conclusion : The interrater reliability of WMFT were compared with MAS, FMA and highly verified. WMFT can be more useful tool among upper extremity function assessment.

Analysis of Spatial Coincidence of Thrips and Orius sauteri on Greenhouse Eggplants (하우스가지에서 애꽃노린재 Orius sauteri Poppius를 이용한 총채벌레류 방제 및 두 개체군의 공간분포와 공존분석)

  • 송정흡;김수남;이광석;한원탁
    • Korean journal of applied entomology
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    • v.41 no.1
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    • pp.27-32
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    • 2002
  • Biological control of thrips with a predatory bug species, Orius sauteri Poppius, was evaluated in an eggplant greenhouse, To study the biological control strategy of thrips. three Plots were established: Orius sauteri released plot without pesticide treatment (NRT), pesticide treated plot (PAT), and natural enemy removed plot (RNT) The nymphs of O. sauteri were found on the upper side of leaves in NRT at 21 days after the first release of O. sauteri. The density of thrips were dropped and maintained at lower level in NRT than in RNT. Average damage index of NRT, PAT and RNT was 1.35, 1.21 and 2.90 and the percentage of damaged fruit ratio of those was 70.3, 68.6 and 99.0%, respectively. The damage index and percentage of damaged fruit in NRT were slightly higher than those of PAT, but much lower than in RNT. Taylor's band Iwao's $\beta$ were greater than 1 for both populations. indicating aggregated distribution. Spatial coincidence index of O. sauteri was high most of the time even at low densities of both populations. The refuge index for thrips decreased as O. sauteri density increased. Results of this study suggest that O. sauteri is a promising natural enemy for thrips control on eggplant.

The Comparative Study between Leg Length Analysis and X-ray on Diagnosis of Pelvic Malpositions - according to Positions and Valuation Bases - (기능성 족지장단분석과 X-ray의 골반변위 진단의 비교 연구 - X-ray 촬영 자세 및 평가 기준에 따라 -)

  • Lee, Jung-Min;Koog, Gil-Ho;Choi, Bo-Mi;Jeong, Hyun-A;Hong, Seo-Young
    • The Journal of Churna Manual Medicine for Spine and Nerves
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    • v.5 no.2
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    • pp.169-180
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    • 2010
  • Objectives: This study was carried out to investigate the relationship of leg length analysis and X-ray finding according to positions and valuation bases on diagnosis of pelvic malpositions. Methods: Twenty-two people who get $33.09{\pm}10.73$ as average were evaluated by leg length analysis and X-ray findings. After measuring innominate measurement(IM), femur head line. distance between S2 and posterior superior iliac spine(PSIS). ilium shadow measurement(ISM), major axis of obturator foramen(MaF), minor axis of obturator foramen(MiF) and distance between off centering measurement and symphysis pubis, those were analyzed. Results: 1. In assessment of posterior rotation malposition ilium(PI), it was showed the best coincidence between leg length analysis and X-ray analyzed by 1M in supine position(11 cases, 50.5%). 2. In assessment of inflare, coincidence index between leg length analysis and X-ray were not good($4.00{\pm}3.03$ cases, $18.15{\pm}13.82%$). And leg length analysis were not sensitive. 3. On the whole, coincidence index between leg length analysis and X-ray were not good(best: 1 case, 45.5%; worst: 11 cases, 50.0%). Conclusions: Results form this investigation showed the relationship of leg length analysis and X-ray according 10 positions and valuation bases on diagnosis of pelvic malpositions. This results are expected to contribute to establish method of assessment in diagnosis of pelvic malpositions.

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Structural Characterization of Silk Fiber Treated with Calcium Nitrate (질산칼슘 처리 농도에 따른 수축견사의 구조특성)

  • 이광길;이용우
    • Journal of Sericultural and Entomological Science
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    • v.39 no.2
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    • pp.186-196
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    • 1997
  • The IR crystallinity index of Calcium nitrate treated silk fiber decreased proportionally to the concentration of calcium nitrate. A partial change of conformation was observed in the concentration of over 46.4-47.6% changing from $\beta$-sheet or to random coil in the crystalline region. This is in coincidence with the result of crystallinity index, which was started to be reduced in the concentration range of 46.4-47.6%. A same trend was observed for the X-ray order factor, birefringence, degree of orientation and surface structure. These structural parameters were remarkably changed on the treatment of silk fibers with concentration of 46.4-17, 6% calcium nitrate. Therefore, it seems that there exists a critical concentration of calcium nitrate in affection the structure and morphology of silk fibers. According to the examination of surface morphology, the fine stripe was observed in the direction of fiber axis at 46.4% concentration. However, the treated concentration was exceeded by 47.6%, the cracks were appeared severely on the fiber surface in the transverse direction as well as fiber axis direction. This result might be related to the tensile properties, specially a tenacity of silk fibers. As a result of quantitative analysis of a dilute acid hydrolysis, three different regions, which are known as a amorphous, semi-crystalline and crystalline region, could be obtained. The hydrolysis rate curves were different with various concentrations of treatment and the relative contents of each region could be calculated.

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Sympathetic Nerve Function to Electrical Response of Ryodoraku Point and Disarrangement of its Meridian Location on the Anatomical Viscera Exclude the Association between Ryodoraku Theory and Meridian Principle (양도점의 전기적 반응에 대한 교감신경작용과 경락 배열과 실질장기의 불일치는 양도락의 경락 관련성을 배제한다.(위 운동장애형 기능성 소화불량증 환자의 양도점 H4,5,6의 반응을 중심으로))

  • Yoon, Sang-Hyub
    • The Journal of Internal Korean Medicine
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    • v.32 no.2
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    • pp.259-277
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    • 2011
  • Objectives : The purpose of this study was to investigate two subjects: the diagnostic value of bilateral lowering of electrical activity at point H4,5,6 of Ryodoraku and the mechanism for Ryodoraku phenomena. Methods : Electrical activities of Ryodoraku test and electrogastrography recorded simultaneously and monitored continuously from 16 cases of functional dyspeptic patients were collected and their variations were grouped by the topics of discussion which were peculiarity, stability, lagging, alterability, and anomaly. Ryodoraku recordings obtained from 6 patients with different gastrointestinal diseases and 1 normal healthy person were used as control. The results are discussed with Nakatani's suggestion, theory of sympathetic nerve and Meridian Principle, respectively. Finely, coincidence of stomach arrangement between anatomy and meridian system in Ryodoraku was also evaluated. Results : Time-course variation showed a regular relationship between the typical pattern of Ryodoraku at point H4,5,6 and gastric myoelectrical activity. However, an irregular relationship and atypical pattern of Ryodoraku occasionally appeared. A literature search suggested that electrical response at the Ryodoraku point H4,5,6 may be dependent on an afferent sympathetic spinal reflex transmitted from the stomach. However, there was no evidence for making clear whether bilateral lowering of electrical activity at this point was induced by hypofunction of local sympathetic nerve in the skin itself or of signals transmitted from the gastric sympathetic nerve or not. The coincidence of 19% could not provide a visceral arrangement of the stomach between anatomy and meridian systems. Conclusions : Bilateral lowering of electrical activity at Ryodoraku point H4,5,6 has value as a diagnostic index for gastric dysmotility of functional dyspepsia. This phenomenon is associated with spinal reflex transmitted from the afferent sympathetic nerve in the stomach but not that of meridian function.