• 대한수학회보
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• 제56권6호
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• pp.1497-1510
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• 2019

In this paper we compute the stopping times in the game Rock-Paper-Scissors. By exploiting the recurrence relation we compute the mean values of stopping times. On the other hand, by constructing a transition matrix for a Markov chain associated with the game, we get also the distribution of the stopping times and thereby we compute the mean stopping times again. Then we show that the mean stopping times increase exponentially fast as the number of the participants increases.

• 대한수학회보
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• 제59권5호
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• pp.1269-1277
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• 2022

In this paper we consider a sequence of polynomials defined by some recurrence relation. They include, for instance, Poupard polynomials and Kreweras polynomials whose coefficients have some combinatorial interpretation and have been investigated before. Extending a recent result of Chapoton and Han we show that each polynomial of this sequence is a self-reciprocal polynomial with positive coefficients whose all roots are unimodular. Moreover, we prove that their arguments are uniformly distributed in the interval [0, 2𝜋).

• 한국정보처리학회논문지
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• 제6권1호
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• pp.75-83
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• 1999

정점차수가 하이퍼큐브의 3/4 이면서도 하이퍼큐브의 위상적 특성을 대부분 보유하고 있는 새로운 네트워크인 Z-cube 가 최근 제안된 바 있는데, 이는 하드웨어로의 구현이라는 측면에서는 하이퍼큐브의 좋은 대체 안이 될 수 있다. 본 논문에서는 Z-cube에서의 정점들 간의 통신 성능을 평가하기 위해서 Z-cube의 직경과 두 정점들 간의 평균거리, 그리고 고장직경을 산출하였다. 이를 위해 Z-cube의 재귀적 구조와 두 정점간의 최단경로, 평균거링[ 점화관계 (Recurrence Relation)가 유도되었으며 정점 무중복 경로 (Node disjoint Path)가 소개되었다. 일반적으로 네트워크의 정점차수가 감소되면 직경과 두 정점간 평균거리가 증가하여 통신성능도그만큼 저하되리라 예상되지만, 본 논문은 Z-cube와 하이퍼큐브의 직경이 같고 Z-cube에서의 두 정점들 간의 평균거리가 하이퍼큐브의 1.125배에 지나지 않으며 고장직경은 차수에 따라 대략 하이퍼큐브의 1.4배 내지 1.7 배인 것을 보여 주고 있다.

• Radiation Oncology Journal
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• 제21권2호
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• pp.143-148
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• 2003

목적: 자궁경부암으로 진단을 받고 수술단독 치료만 시행 받은 후 재발암에서 방사선치료를 시행하고 생존율 및 실패양상을 알아보고자 하였다. 대상 및 방법: 1990년 1월부터 1999년 12월까지 계명대학교 동산의료원 방사선종양학과에선 초기(I, IIa) 자궁경부암으로 진단을 받고 수술 후 재발하여 방사선치료를 받은 환자 27명을 대상으로 하였다. 연령분포는 31세에서 70세로 평균 48세이며 수술 당시 병기 1기가 20명, 2기가 7명이었고 23명이 편평상피암이었고 4명은 선암이었다. 수술 후 재발까지의 기간은 2개월에서 90개월로 평균 29개월이었다. 재발부위로는 질 부위가 14명, 골반강이 9명, 복합재발이 4명이었다. 수술은 25명에서 전자궁적출술과 골반내림프절절제술을 시행하였으며 2명은 전자궁적출술만을 시행하였다. 방사선치료는 13명에서는 외부방사선치료만을 받았고 13명에서는 외부방사선치료와 질강내방사선 치료를 받았으며 1명은 질강내방사선치료만을 받았다. 방사선치료 후 추적관찰기간은 6개월에서 128개월로 중앙값 55개월이었다. 결과: 전체 환자의 5년 생존율과 5년 무병생존율은 각각 71.9$\%$, 68.2$\%$이었다. 재발부위에 따른 생존율의 차이가 통계적으로 유의하지는 않았으나 질 부위에만 재발하여 방사선치료를 받은 환자에서 가장 높은 5년 무병생존율을 나타내었다(5년 무병생존율, 질 부위에만 재발한 환자는 85.7$\%$, 질 부위를 제외한 골반부위에 재발한 환자 53.3$\%$, p=0.09). 재발시기에 따른 생존율의 차이는 보이지 않았다. 실패양상으로는 질 부위에만 재발하여 방사선치료를 받은 환자들에서 7$\%$의 국소재발만 있었고 골반강내에 재발하여 방사선치료를 받은 환자들은 국소재발이 주된 실패이었고 골반과 복벽, 복막 등에 같이 재발되었던 환자들은 방사선치료 후 원격전이가 주된 실패이었다. 방사선치료 후 3도 이상의 부작용은 없었다. 결론: 이상으로 볼 때, 초기 자궁경부암에서 수술단독치료 후 재발암에서는 방사선치료는 효과적이고 안전한 치료법이라고 생각되며 특히 수술 후 질 부위에만 재발한 경우에는 외부방사선치료와 질강내방사선치료로 좋은 생존율을 기대할 수 있겠다.

• Kyungpook Mathematical Journal
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• 제57권2호
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• pp.211-222
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• 2017

In this paper, we consider three inverse eigenvalue problems for a special type of acyclic matrices. The acyclic matrices considered in this paper are described by a graph called a broom on n + m vertices, which is obtained by joining m pendant edges to one of the terminal vertices of a path on n vertices. The problems require the reconstruction of such a matrix from given partial eigen data. The eigen data for the first problem consists of the largest eigenvalue of each of the leading principal submatrices of the required matrix, while for the second problem it consists of an eigenvalue of each of its trailing principal submatrices. The third problem has an eigenvalue and a corresponding eigenvector of the required matrix as the eigen data. The method of solution involves the use of recurrence relations among the leading/trailing principal minors of ${\lambda}I-A$, where A is the required matrix. We derive the necessary and sufficient conditions for the solutions of these problems. The constructive nature of the proofs also provides the algorithms for computing the required entries of the matrix. We also provide some numerical examples to show the applicability of our results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권1호
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• pp.97-102
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• 2004

In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the Pareto distribution. Let ｛$X_n,n\qeq1$｝be a sequence of independent and identically distributed random variables with a common continuous distribution function(cdf) F($chi$) and probability density function(pdf) f($chi$). Let $Y_n\;=\;mas{X_1,X_2,...,X_n}$ for $ngeq1$. We say $X_{j}$ is an upper record value of {$X_{n},n\geq1$}, if $Y_{j}$＞$Y_{j-1}$,j＞1. The indices at which the upper record values occur are given by the record times ${u( n)}n,\geq1$, where u(n) = min{j｜j ＞u(n-l), $X_{j}$＞$X_{u(n-1)}$,n\qeq2$ and u(l) = 1. Suppose $X{\epsilon}PAR(\frac{1}{\beta},\frac{1}{\beta}$ then E$(\frac{{X^\tau}}_{u(m)}}{{X^{s+1}}_{u(n)})\;=\;\frac{1}{s}E$ E$(\frac{{X^\tau}}_{u(m)}{{X^s}_{u(n-1)}})$ - $\frac{(1+\betas)}{s}E(\frac{{X^\tau}_{u(m)}}{{X^s}_{u(n)}}$ and E$(\frac{{X^{\tau+1}}_{u(m)}}{{X^s}_{u(n)}})$ = $\frac{1}{(r+1)\beta}$ [E$(\frac{{X^{\tau+1}}}_u(m)}{{X^s}_{u(n-1)}})$ - E$(\frac{{X^{\tau+1}}_u(m)}}{{X^s}_{u(n-1)}})$ - (r+1)E$(\frac{{X^\tau}_{u(m)}}{{X^s}_{u(n)}})$]

• 대한의료기공학회지
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• 제13권1호
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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.

• Maxillofacial Plastic and Reconstructive Surgery
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• 제29권1호
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• pp.24-32
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• 2007

The odontogenic keratocyst(OKC) is a common developmental odontogenic cyst and represents approximately 11% of odontogenic cysts. It is decided by microscopic and histopathologic determinant rather than by clinical appearance. In this study, expression of RANKL and OPG in OKC in relation to age and gender of patient and recurrence, location of lesion were examined through immuno- histochemical study. The RANKL and OPG antibody staining were used. The obtained result were as follow. 1. Positive immunoreactivity to RANKL/OPG in all specimens was found. 2. There was no significant difference in immunohistochemical expression of RANKL relating to recurrence, location of OKCs and age, gender of patients. 3. There was no significant difference in immunohistochemical expression of OPG relating to recurrence, location of OKCs and age, gender of patients. From above results, it is suggested that activation of osteoclasts by RANKL is an important mechanism by which OKCs cause bone destruction.

• 정신신체의학
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• 제7권1호
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• pp.134-141
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• 1999

연구목적 : 암환자에서는 암의 임상적 특성이나, 치료방법에 따라 다양한 심리적인 문제들이 발생한다. 특히 방사선 치료는 다른 방법의 치료를 받는 환자들에서 볼 수 없는 다른 심리적 반응을 보이는 경우가 많으며, 정서적 고통과 갈등이 가중될 수 있다. 이에 저자들은 방사선 치료중인 암환자들에게는 어떠한 정신과 장애가 발생하는지 알아보고, 정신과 질환이 암과 관련된 다양한 임상적 특성과 어떠한 연관성을 지니는지 알아보고자 본 연구를 시행하였다. 방법 : 방사선 치료를 위해 치료방사선과에 입원한 암환자 47명을 대상으로 하여. DSM-IV 진단기준에 따라 정신과 장애를 평가하고, 환자들의 인구학적 자료, 암의 부위, 이환기간, 재발횟수 등의 임상적 특성, 암환자의 암에 대한 인지여부, 치료결과에 대한 기대 등의 요인과 정신과 장애의 관련성을 살펴보았다. 결과 : 1) 21 명(44.7%)의 환자가 정신과 장애를 가지고 있었다. 적응장애가 14명(66.7%)으로 가장 많았고, 다음은 5명(23.8%)의 환자에서 동반된 주요 우울장애였다. 2) 성별, 연령, 학력, 결혼상태, 종교 등의 인구학적 변인과 정선과적 장애와의 관련성은 통계적 유의성을 보이지 않았다. 3) 암의 부위별로는 골반부에 위치하는 암이 22명(46.8%)으로 가장 많았으며, 암의 부위, 이환기간과 정신과 장애와의 유의한 관련성은 없었다. 4) 암의 재발에 있어 재발의 증거가 없는 경우에 비해 재발한 경우 통계적으로 유의하게 정신과 장애의 이환율이 높았다. 5) 암의 인지여부와 정신과 장애는 통계적으로 유의한 연관은 없었다. 6) 치료결과에 대한 기대와 관련하여, 방사선 치료가 단지 보조적인 것으로 생각하는 군이 방사선치료에 의해 완치될 것으로 생각하는 군에 비해 통계적으로 유의하게 정신과 장애의 이환율이 높았다.

• Asian Pacific Journal of Cancer Prevention
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• 제15권16호
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• pp.6905-6910
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• 2014

Background: The relation ofsurvivin gene expression to survival and surgical prognostic factors in the patients with endometrial carcinoma is unclear. Materials and Methods: In this study, 62 cases who were operated due to endometrial carcinoma were investigated between 2003 and 2011 in the the gynecological oncology clinic of Female Disease Training and Investigation Hospital of Etlik Zubeyde, Hanim, Turkey. Clinical and surgical prognostic factors were investigated by screening the records of these cases. With the standard streptavidin-biotin immune peroxidase method, cytoplasmic and nuclear expression of survivin was investigated in sections with specific antibodies (1:100, diagnostic Bio Systems, USA) primer. The aim was to elucidate any relation between survivin expression and defined prognostic factors and survival. Results: There was no statistically significant relationship between cytoplasmic and nuclear indexes identified for survivin and age, body mass index, the levels of preoperative hemoglobin, platelet and Ca 125, stage, grade, lymph node meastasis, the number of meta statical lymph nodes (total, paraaortic and pelvic), myometrial invasion, serosal invasion, adnexal involvement, the presence of acid in the first diagnosis, the involvement of omentum, the adjuvant treatment application of the cases, the presence of recurrence and rate of mortality (p>0.05). Statistical significance was noted for the presence of advanced stage lymph node metastasis (pelvic, paraaortic, pelvic and paraaortic), serosal involvement, positive cytology, lymph vascular space invasion, intra abdominal metastasis, and omentum involvement. When investigated the relation between cytoplasmic and nuclear survivin indexes and total survival, the result was not statistically significant (p>0.05). Conclusions: In our study, there was no statistically significant relationship between the rates of cytoplasmic and nuclear survivin expression with identified prognostic factors and total or non-disease survival.