• Title/Summary/Keyword: third order recurrence

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GENERALIZED PADOVAN SEQUENCES

  • Bravo, Jhon J.;Herrera, Jose L.
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.977-988
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    • 2022
  • The Padovan sequence is the third-order linear recurrence (𝓟n)n≥0 defined by 𝓟n = 𝓟n-2 + 𝓟n-3 for all n ≥ 3 with initial conditions 𝓟0 = 0 and 𝓟1 = 𝓟2 = 1. In this paper, we investigate a generalization of the Padovan sequence called the k-generalized Padovan sequence which is generated by a linear recurrence sequence of order k ≥ 3. We present recurrence relations, the generalized Binet formula and different arithmetic properties for the above family of sequences.

ON SEMILOCAL CONVERGENCE OF A MULTIPOINT THIRD ORDER METHOD WITH R-ORDER (2 + p) UNDER A MILD DIFFERENTIABILITY CONDITION

  • Parida, P.K.;Gupta, D.K.;Parhi, S.K.
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.399-416
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    • 2013
  • The semilocal convergence of a third order iterative method used for solving nonlinear operator equations in Banach spaces is established by using recurrence relations under the assumption that the second Fr´echet derivative of the involved operator satisfies the ${\omega}$-continuity condition given by $||F^{\prime\prime}(x)-F^{\prime\prime}(y)||{\leq}{\omega}(||x-y||)$, $x,y{\in}{\Omega}$, where, ${\omega}(x)$ is a nondecreasing continuous real function for x > 0, such that ${\omega}(0){\geq}0$. This condition is milder than the usual Lipschitz/H$\ddot{o}$lder continuity condition on $F^{\prime\prime}$. A family of recurrence relations based on two constants depending on the involved operator is derived. An existence-uniqueness theorem is established to show that the R-order convergence of the method is (2+$p$), where $p{\in}(0,1]$. A priori error bounds for the method are also derived. Two numerical examples are worked out to demonstrate the efficacy of our approach and comparisons are elucidated with a known result.

Clinical study of Atopic Dermatitis patient treated with Poison Extraction Method (배독요법을 통한 아토피환자 2례에 대한 임싱적 고찰)

  • Park, Chi-Young;Hong, Kwon-Eui
    • Journal of Pharmacopuncture
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    • v.10 no.2 s.23
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    • pp.107-117
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    • 2007
  • Objectives : This study is desinged in order to evaluate the Poison extraction method for the Atopic dermatitis. Methods : The authors observed the two cases of Atopic dermatitis patients who previously used steroid-based ointment. for treating the Poison Extraction Method. Conclusions : 1. In case 1, the patient with mild case of Atopic dermatitis in face is treated with the Poison extraction method. Rash symptoms intensed for first few days. As sweating appeared in the local area from the seventh day, all the symptoms was disappeared rapidly. No recurrence was found. 2. In case 2, the patient with severe case of Atopic dermatitis in whole body is treated with the Poison extraction method. The symptoms intensed after two months and all the symptoms of itchiness, rash, scaly letter dissapeared in the third and fourth months. No recurrence was found. 3. In both cases of mild and severe cases of Atopic dermatitis. all the symptoms were disappeared and no recurrence was found with the Poison Extraction Method.

A Comparative Study on the Distinction of Patients with Stroke in the Case of the First Attack and Recurrence (중풍(中風) 초발(初發) 및 재발환자(再發患者)의 특성(特性)에 관한 비교연구(比較硏究))

  • Kwon, Jun-Cheol
    • The Journal of Korean Medicine
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    • v.28 no.1 s.69
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    • pp.25-34
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    • 2007
  • Objectives : The present study was carried out to provide basic information necessary for the prevention and efficient treatment of stroke through a comparison between thr patients of the first attack and those of recurrence. Methods : The observation f3r the current study was made on 210 cases of stroke that were confirmed through brain CT-scan. The patients were hospitalized at one of two oriental medical hospitals in Seoul during 2006. Result : The main results were as follows. First, the male-to-female ratio of stroke patients were 1:1.26, with more primary stroke far females and more recurrent stroke for males. Second, in the age distribution, seventies was the top, and sixties, fifties, and forties were next in the order of frequency. A large city was the most frequent residential site and unemployment was the most frequent occupation to have stroke. The incidence of stroke became higher as patients had a taste for spicy and salty food. Third, the most common preceding disease was hypertension. In the relationship of diastolic blood pressure with recurrence, there was significance in the test of independence. Fourth, the most important precipitating conditions at the onset of stroke were rest and steeping. The most common precedent symptoms were verbal disturbance, numbness, and dizziness. In the stroke patients with hemiparesis, male and female patients usually showed It. hemiparesis. Fifth, as a result of brain CT-scan, cerebral hemorrhage was inclined to reduce but cerebral infarction was inclined to increase due to senility and change of lifestyle. Finally, total cholesterol findings disclosed that 22.4% were hypercholesteremia, 18.6 % were hyperlipemia in triglyceride findings, and 19.0% were glycosemia in glucose findings. Conclusions : The above results suggested avoidance of meat and salty fDod and positive control of hypertension and diabetes mellitus in order to prevent stroke.

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PRELIMINARY PROJECT OF WATER SUPPLY FOR NDATA FARM, MALAWA

  • Min-Shun Lee;Hung-Kwai Chen;Sheng Liang;Ho-Shong Hou
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1615-1617
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    • 2009
  • The water resources project of 320 Ha second stage reclamation, in which including an University City, out of 800 Ha Ndata Farm, Malawa, had been under studied in this research. The challenge of C value of runoff coefficient was obtained as 0.8, by introducing the attenuation factors method, proposed by second author, an IDF dimensionless method customary used in Taiwan, proposed by the third author, is translated further to solve the project design rainfall; Rational Method, thus, obtains 11.5 CMS as the 5 year recurrence storage. The final job, completed by the third author's on-site performance, includs field alignments and discussions with the trustee, Malawa President H. E. Dr. Bingu Wa Mutharika, when a special concern of anti-theft. In order to provide sufficient supply up to an amount of 44,000 M3 during April to November, the sketch package includes 6 measurements: one water barrage, one sluice gate, one intake, one sediment reservoir, one water reservoir, and 3199 Km long gravity-driving hydraulic pipe.

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Characteristics of impacted mandibular third molar-related lesions

  • Dong-Min Lee;Jihye Ryu;Hyeonjin Kim;Jae-Yeol Lee
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.50 no.3
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    • pp.153-160
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    • 2024
  • Objectives: This study identifies factors for differential diagnosis among lesions by retrospectively comparing panoramic and cone-beam computed tomography images and analyzing the characteristics of lesions associated with impacted mandibular third molars (IMTs). Materials and Methods: A retrospective cohort study was conducted in patients who simultaneously underwent IMT extraction surgery and related benign tumor resection or cyst enucleation at our institution from 2017 to 2021. To compare the characteristics of each group, two comparative analyses were conducted. The first comparison considered the most frequently observed lesions associated with IMTs: dentigerous cysts, odontogenic keratocysts (OKCs), and ameloblastoma. The second comparison involved placing dentigerous cysts, which have a relatively low recurrence rate, into group A and placing OKC, ameloblastoma, and odontogenic myxoma, which have high recurrence rates, into group B. Results: Significant differences in the size of the lesion were found in the order of ameloblastoma, OKC, and dentigerous cyst (P<0.05). The buccolingual width of ameloblastoma differed significantly from that of the other groups, with no significant difference observed between the OKCs and dentigerous cysts (P=0.083). Conclusion: Patient age and lesion size differed significantly among lesion types associated with IMTs, with younger age and larger lesions for OKCs and odontogenic tumors. OKCs are likely to have a larger mesiodistal width than dentigerous cysts. The buccolingual width of ameloblastomas was larger than those of dentigerous cysts and OKCs.

A Study on Relation between the Quality of Life and Factors for recurrent Stress of Alcohol Dependents (일부 알코올 의존자의 삶의 질 및 재발 스트레스 요인과의 관련성 연구)

  • Ryu, Hodal;Chong, Myong Soo
    • Journal of Korean Medical Ki-Gong Academy
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    • v.13 no.1
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    • pp.105-144
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    • 2013
  • This study intended to provide fundamental data to take countermeasures against recurrent stress by analyzing the health-related quality of life and factors for recurrent stress of alcohol dependents. Structured questionnaire was prepared for patients who quitted drinking after they had been hospitalized for alcohol dependence to take medical treatment but suffered recurrence, and analysis on health-related quality of life and environmental factors with drinking risk was conducted. The quality of life was at a relatively satisfactory level, where pain was found at the highest level and general health condition was found at the lowest level. Environmental factors with drinking risk were found to be a moderate level, drinking for the reason of family and friends in terms of complications with other persons was found to be highest, and then job, self control, bad emotions, and social pressure on drinking were found in order. For health-related quality of life, the quality of life was found to be high in case of the only son, professional job, well-educated persons, and no history of hospitalization. Regarding factors for recurrent stress, stress was found to be high in case of the eldest son and being without religion, and the lower was the quality of life, the higher were recurrent stress and environmental factors with drinking risk. It was found that demographic factors including age, marriage, and job influenced the recurrence of alcohol dependence, and factors for recurrent stress, etc. also influenced recurrent alcohol dependence with drinking risks. Specially, the lower was the quality of life, the higher were factors for recurrent stress, and drinking risks, therefore measures to improve the quality of life are required to be taken to prevent alcohol dependence from recurrence.

ON SOME DIFFERENTIAL SUBORDINATION INVOLVING THE BESSEL-STRUVE KERNEL FUNCTION

  • Al-Dhuain, Mohammed;Mondal, Saiful R.
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.445-458
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    • 2018
  • In this article we study the inclusion properties of the Bessel-Struve kernel functions in the Janowski class. In particular, we find the conditions for which the Bessel-Struve kernel functions maps the unit disk to right half plane. Some open problems with this aspect are also given. The third order differential subordination involving the Bessel-Struve kernel is also considered. The results are derived by defining suitable classes of admissible functions. One of the recurrence relation of the Bessel-Struve kernel play an important role to derive the main results.

A Clinical Study of Cavernoplasty (공동 성형술에 대한 임상적 검토)

  • 우종수
    • Journal of Chest Surgery
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    • v.11 no.2
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    • pp.147-152
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    • 1978
  • Six patients with pulmonary tuberculosis with cavity had cavernoplasty at Seoul National University Hospital during the last 4 years and 9 months, from October 1973 to April 1978, were studied in order to assess the clinical values of cavernoplasty. 2] All the cases were male, and the mean age was 31.5 years. 2] All the patients had combined therapy with more than two antituberculosis drugs preoperatively, its minimum duration being 8 months and maximum duration 5 years. 2] Nonspecific symptoms were predominant just prior to admission, weight loss being in 50% and loss of appetite in 50% of cases, respectively. The preoperative cavity size on plain film was minimum 2.5cm by 3.5cm and maximum 6.0cm by 4.0cm with the mean of 4. 4cm by 3.4cm. The cavity size was reduced postoperatively to 1/3-1/4 of preoperative size with the mean of 1.15cm by 1.59cm. 2] Sputum smear for acid fast bacilli was converted to negative postoperatively in two cases. 2] Complications occurred in two cases. One was postoperative pleural effusion and the other was recurrence of symptoms 2 years after surgery. 2] Of the 3 cases able to follow, 2 stopped antituberculous medication after one year. The third case was still on medication because of bronchiectasis due to tuberculous infection.

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