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THE STABILITY OF THE EQUATION f(x+p) = kf(x)

  • Lee, Sang-Han;Jun, Kil-Woung
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.653-658
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    • 1998
  • In this paper, we investigate the Hyers-Ulam stability of the (p,k)-MP functional equation.

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A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES

  • Shiny, Hwan-Yong;Kim, Gwang Hui
    • Korean Journal of Mathematics
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    • v.24 no.2
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    • pp.297-305
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    • 2016
  • In this paper, by using fixed point theorem, we obtain the stability of the following functional equations $$f(pr,qs)+g(ps,qr)={\theta}(p,q,r,s)f(p,q)h(r,s)\\f(pr,qs)+g(ps,qr)={\theta}(p,q,r,s)g(p,q)h(r,s)$$, where G is a commutative semigroup, ${\theta}:G^4{\rightarrow}{\mathbb{R}}_k$ a function and f, g, h are functionals on $G^2$.

APPROXIMATE RING HOMOMORPHISMS OVER p-ADIC FIELDS

  • Park, Choonkil;Jun, Kil-Woung;Lu, Gang
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.3
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    • pp.245-261
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    • 2006
  • In this paper, we prove the generalized Hyers-Ulam stability of ring homomorphisms over the p-adic field $\mathbb{Q}_p$ associated with the Cauchy functional equation f(x+y) = f(x)+f(y) and the Cauchy-Jensen functional equation $2f(\frac{x+y}{2}+z)=f(x)+f(y)+2f(z)$.

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Correlation analysis between elderly oral myofunction, oral microorganisms, and cognitive function

  • Kim, Seol-Hee
    • Journal of Korean society of Dental Hygiene
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    • v.19 no.2
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    • pp.161-172
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    • 2019
  • Objectives: This study aimed to analyze the correlation between oral function, oral environment, and brain cognitive function in the elderly. Methods: The subjects were 60 users of senior community center and elderly day care center. The survey was conducted from November to December 2018. Subjects were assessed by oral examination and myofunction test. Oral myofunction was measured using $IOPI^R$ and Lip de $Cum^R$. Survey data were analyzed using the statistical programs of PASW Statistics ver. 18.0. Results: Tongue muscle strength and lips muscle strength was higher in males than in females. The tongue and lip strengths were higher in the <81 years old group than the ${\geq}81$ years old group. Functional tooth analysis showed that there was a ${\geq}15$ teeth group ($40.91{\pm}7.36$) and a <15 teeth group ($32.52{\pm}7.14$). Lip muscle strength analysis showed that the ${\geq}15$ teeth group ($10.54{\pm}3.40$) was higher than the <15 teeth group ($8.20{\pm}2.41$, p<0.05). Tongue muscle strength, lumbar muscle strength, and functional tooth number were lower in the elderly subjects with mild cognitive impairment. Cognitive function was significantly correlated with functional tooth number (r=0.386, p<0.001), tongue strength (r=0.478, p<0.001), and lip strength (r=0.281, p<0.05). Tongue strength was significantly correlated with lip strength (r=0.360, p<0.001) and functional tooth number (r=0.633, p<0.001). Lip strength was significantly correlated with functional tooth number (r=0.376, p<0.001). Conclusions: These results showed that age and functional tooth number influenced oral muscle strength and that the number of functional teeth and oral muscle strength were low in the elderly with mild cognitive impairment. Oral myofunction training and oral care program are suggested to improve the quality of life of the elderly.

The Mediating Effects of Nutritional Status on the Relationship between Symptom Experience and Functional Status in Patients with Chronic Obstructive Pulmonary Disease (만성 폐쇄성 폐질환 환자의 증상경험과 기능상태의 관계에 미치는 영양상태의 매개효과)

  • Jang, Jun Hee;Min, Hye Sook
    • Journal of muscle and joint health
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    • v.25 no.2
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    • pp.112-121
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    • 2018
  • Purpose: This study was conducted to explore the mediating effect of nutritional status on the relationship between symptom experience and functional status of patients with Chronic Obstructive Pulmonary Disease (COPD). Methods: A total of 141 COPD patients visiting D hospital and I hospital in B city were enrolled in this study. Data were collected from January 2017 to July 2017. Outcome variables were measured by Mini Nutritional Assessment Short-Form (MNA-SF) for nutritional status, The Memorial Symptom Assessment Scale (MSAS) for symptom experience, and The Functional Performance Inventory Short Form (FPI-SF) for functional status. The data were analyzed with descriptive statistics, Pearson's correlation, and path analysis using SPSS/WIN 21.0 and AMOS 25. Results: There was a significant negative correlation between symptom experience and nutritional status (r=-.61, p<.001), a significant negative correlation between symptom experience and functional status (r=-.40, p<.001), and significant positive correlation between nutritional status and functional status (r=.47, p<.001). Symptom experience had indirect effects on functional status through nutritional status. Conclusion: For enhancing functional status in COPD patients, it is necessary to develop nursing intervention programs to enhance symptom management as well as nutritional status.

The Effects of Interferential Current Therapy on Functional Dyspepsia

  • Koo, Ja Pung;Shin, Hee Joon;Kim, Nyeon Jun;Jeon, Hye Mi;Park, Joo Hyun;Yun, Young Dae;Lee, Joon Hee;Lim, Sang Wan;Um, Ki Mai;Kim, Ji Sung
    • Journal of International Academy of Physical Therapy Research
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    • v.4 no.1
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    • pp.499-504
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    • 2013
  • This study aims to address the effect of interferential current therapy and thereby to provide basic resources to physical therapies for internal medicine by identifying symptoms for functional dyspepsia and serum gastrin level that shows gastric motility. Following results were obtained by performing interferential current therapy to 16 subjects composed of 8 for functional dyspepsia group and 8 for control group for 20 minutes a day, 3 days a week, for 6 weeks. In control group, serum gastrin level was significantly( p<.01), lowered after the therapy whereas there was no significant difference observed in all questions from questionnaire for symptoms of functional dyspepsia between before and after the therapy. In functional dyspepsia group, serum gastrin level was significantly(p<.01), lowered after the therapy and there was also significant(p<.01) reduction in every question from questionnaire for symptoms of functional dyspepsia between before and after the therapy. There was more significant decrease in serum gastrin level and reduction in questionnaire for symptoms of functional dyspepsia in the functional dyspepsia group compared to the control group(p<.01). This study confirms the interferential current therapy as an effective therapeutic method for internal diseases including functional dyspepsia since it not only improves the symptoms of functional dyspepsia but also allows the gastric motility close to normal.

Functional Status in Lung Cancer Patients (폐암 환자의 기능상태에 관한 연구)

  • Oh, Eui-Geum
    • Korean Journal of Adult Nursing
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    • v.14 no.4
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    • pp.491-500
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    • 2002
  • Purpose: To exam how functional status varied according to age, gender, stage, treatment protocols, and pathologic types of cancer in lung cancer patients. Method: A Cross-sectional and descriptive study was used. Functional status was measured with the Medical Outcome Study Short Form-36. A total of 106 lung cancer patients participated. Their mean age was 61 years. Majorities were male, in advanced stages, and receiving chemotherapy. Result: Functional status of the subjects were relatively low compared to the results of previous studies. Women had more severe functional limitations in Role-Emotion(t=2.17, p <.05). Generally, older patients(> 60 yrs.) had relatively more severe limitations in all subcategories, but the difference was not statistically significant. Subjects in late lung cancer stage(stage III & IV) had more severe functional limitation in all subcategories. But the statistical difference was found only in General Health(t=2.10, p<.05). In terms of treatment protocol, no-current treatment group had lower General Health than those of the chemotherapy group(F=3.42, p<.01). There were no statistical differences in functional status among pathological cancer cell types. Conclusion: The results of this study suggest that effective management may be achieved when these factors are considered on individual basis in the clinical management of lung cancer patients.

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Correlation between Balance and Lower Extremity Muscle Activity in Stroke Patients (뇌졸중 환자의 균형과 하지 근활성도와의 상관관계 연구)

  • Yang, Dae-Jung;Kim, Je-Ho;Jung, Yong-Sik;Uhm, Yo-Han;Park, Seung-Kyu
    • Journal of the Korean Academy of Clinical Electrophysiology
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    • v.10 no.1
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    • pp.1-5
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    • 2012
  • Purpose : In this study, stroke patients' limits of stability and functional reach test and tibialis anterior, gastrocnemius muscle of lower extremity muscle activities to evaluate the correlation. Methods : 30 adult stroke patients to participate in this study. Limits of stability were measured using biorescue, tibialis anterior and gastrocnemius muscle of muscles activities were measured with functional reach test when there was movement. Results : Limits of stability and functional reach test (r=0.753, p<0.01), RMS value of the limits of stability and tibialis anterior muscle (r=0.706, p<0.01), RMS value of the limits of stability and gastrocnemius muscle (r=0.766, p<0.01), RMS value of the functional reach test and tibialis anterior muscle (r=0.835, p<0.01), RMS value of the functional reach test and gastrocnemius muscle (r=0.663, p<0.01), RMS value of the tibialis anterior and gastrocnemius muscle (r=0.816, p<0.01) correlations are shown as statistically significant. Conclusion : The balance and lower extremity muscle activities of stroke patients were studied, and were positively correlated with the RMS value of the limits of stability and functional reach test, tibialis anterior muscle, and gastrocnemius muscle. This study has shown that stroke patients' ankle joint muscle activity can greatly.

Synthesis and Characterization of Phenanthrene-substituted Fullerene Derivatives as Electron Acceptors for P3HT-based Polymer Solar Cells

  • Mi, Dongbo;Park, Jong Baek;Xu, Fei;Kim, Hee Un;Kim, Ji-Hoon;Hwang, Do-Hoon
    • Bulletin of the Korean Chemical Society
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    • v.35 no.6
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    • pp.1647-1653
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    • 2014
  • 9,10-Bis(bromomethyl)phenanthrene reacted with fullerenes via a Diels-Alder reaction to give phenanthrene-substituted fullerene mono-adducts (PCMA) and bis-adducts (PCBA) as electron acceptors for organic photovoltaic cells (OPVs). The syntheses of the fullerene derivatives were confirmed by $^1H$ $^{13}C$ NMR spectroscopy and MALDI-TOF mass spectrometry. PCMA and PCBA showed better light absorption in the UV-visible region than $PC_{61}BM$. Their electrochemical properties were measured using cyclic voltammetry. Accordingly, the lowest unoccupied molecular orbital (LUMO) energy levels of PCMA and PCBA were -3.66 and -3.57 eV, respectively. Photovoltaic cells were fabricated with a ITO/PEDOT:PSS/poly(3-hexylthiophene)(P3HT):acceptor/LiF/Al configuration, where P3HT and PCBA are the electron donors and acceptors, respectively. The polymer solar cell fabricated using the P3HT:PCBA active layer showed a maximum power conversion efficiency of 0.71%.