A CONSTRUCTION OF (0,1)-MATRICES WITH PRESCRIBED PERMANENT USING BINARY NUMBER SYSTEM OF INTEGERS

SEOL, HAN-GUK,LEE, SANG-GU 성균관대학교 기초과학연구소 1999 論文集 Vol.50 No.-

The permanent of the m-by-n matrix A is the sum of all possible products of m elements from A with the property that the elements in each of the products lie on different lines of A. This scalar valued function of the matrix A occurs throughout the combinatorial literature in connection with various enumeration and extremal problems. In this note, we show the construction of (0, 1)-matrices with a prescribed permanent, 1, 2, ... , 2^(n-1).

On a sign-pattern matrix and its related algorithms for L-matrix

Seol, Han-Guk,Kim, Yu-Hyuk,Lee, Sang-Gu 한국산업정보응용수학회 1999 한국산업정보응용수학회 Vol.3 No.1

A real m x n matrix A is called an L -matrix if every matrix in its qualitative class has linearly independent rows. Since the number of the sign pattern matrices of the given size is finite, we can list all patterns lexicographically. In [2], a necessary and sufficient condition for a matrix to be an L-matrix was given. We presented an algorithm which decides whether the given matrix is an L-matrix or not. In this paper, we develope an algorithm and C-program which will determine whether a given matrix is an L-matrix or not, or an SNS-matrix or not. In addition, we have extended our algorithm to be able to classify sign-pattern matrices, and to find barely L-matrices from a given matrix and to list all n x n L-matrices.

Integer Matrices with Prescribed Permanent and Its Applications

( Han Guk Seol ) 호남수학회 2006 호남수학학술지 Vol.28 No.4

INTEGER MATRICES WITH PRESCRIBED PERMANENT AND ITS APPLICATIONS

SEOL, HAN-GUK 호남수학회 2006 호남수학학술지 Vol.28 No.4

In this paper, we construct a procedure of Maple programming for (0, 1)-matrix with a prescribed permanent, $1,2,...,2^{n-1}$. An application of such construction is given, and we obtain the some results of (0, 1)-matrices with the permanent less than or equal to n! by replacing elements 0's by 1's.

On a sign-pattern matrix and it's related algorithms for L-matrix

Han-Guk Seol,Yu-Hyuk Kim,Sang-Gu Lee 한국산업응용수학회 1999 Journal of the Korean Society for Industrial and A Vol.3 No.1

이상설 : 한국 근대수학교육의 아버지

설한국,이상구,Seol, Han-Guk,Lee, Sang-Gu 한국수학사학회 2009 Journal for history of mathematics Vol.22 No.3

본 논문은 한국수학사에서 연구와 정리가 취약한 시기인 근대수학의 도입기를 조사하면서, 그 근대수학의 도입기에서 만나게 되는 인물인 이상설(李相卨)에 대한 조명을 시도한다. 시대적 상황이 모든 분야의 침체기를 가져온 구한말 이상설은 근대수학에서 당대를 대표하는 높은 학식을 쌓고 뛰어난 재능을 보여주었다. 그간 이상설에 대해 '근대수학교육의 아버지'라는 평가가 없지 않았음에도 불구하고 낯설게 느껴진다면, 그것은 그가 독립운동가로만 강하게 각인된 탓일 것이다. 하지만 그는 19세기말 조선 근대수학의 첫 번째 교과서 편저자이자 수학교사이기도 했음을 새겨둘 필요가 있다. 대유학자이면서도 선구적으로 외국어와 서양과학 특히 근대 서양수학을 이해한 면모는 한국이 배출한 천재 중 하나라는 평가가 결코 과장이 아님을 보여준다. 이에 본 논문에서는 한국 근대수학교육에 커다란 기여를 한 인물인 이상설의 교육과 학문 및 실천업적을 조명한다. 보재 이상설이 1886년경에 쓴 책 <수리>와 최초로 수학과 과학을 관립교육기관의 교육과정에 편성한 과정, 최초의 근대수학교과서로 여겨지는 <산술신서>의 발간, 민족교육기관인 '서전서숙'의 설립 및 운영을 포함한 보재의 업적을 한국수학사 관점에서 조명한다. 또한 <산술신서>의 목차와 구체적인 내용 및 1901년에 출간된 <신정산술>의 내용을 소개하고, 지금까지 부정확하게 알려진 <수리>와 <산술신서>에 관한 몇 가지 역사적 사실을 발굴하여 재조명한다. Most who have heard of Sang-Seol Lee know him for his contribution to the Korean independence movement nearly a hundred years ago. This paper, however, will discuss Lee's other great contribution to his country; that of being "The father of modern mathematical education in Korea". Lee passed the rigorous government officer examination with the highest honor and became a teacher for the royal prince. Later he became the president of Sunkyunkwan, a national institute of higher learning since 1398, and eventually a well-known university bearing the same name. Lee was also a highly regarded Confucian scholar and well versed in foreign languages. He wanted Korea to become a modern country and felt that the areas of science and engineering were studies that needed improving in order to achieve modernization. While researching Western textbooks on the subjects he realized that Western mathematics would be especially important for Korea. With that, it became his mission to integrate Western mathematics into the Korean educational system. This paper will explain the importance of Sang-Seol Lee's contributions to mathematic education in Korea and how it helped Korea become the modern nation it is today.

Poster Session : PS 0801 ; Upper GI Tract : The Difference Between Macroscopic and Pathologic Diameter in Gastric Tumor Resected by Endoscopic Submucosal Dissection

( Shang Hoon Han ),( So Hee Yun ),( Jae Un Lee ),( Moon Sik Park ),( Wang Guk Oh ),( Young Jae Lee ),( Gum Mo Jung ),( Ji Woong Kim ),( Yong Keun Cho ),( Jin Woong Cho ),( Seol Bong Yoo ),( Myoung Jin 대한내과학회 2014 대한내과학회 추계학술발표논문집 Vol.2014 No.1

Background: We decide whether to perform endoscopic submucosal dissection (ESD) or gastrectomy for early gastric cancer (EGC) by endoscopic examination. We cannot estimate the correct tumor size with naked eye during upper endoscopic examination. And endoscopic size of gastric tumor is different from histologic size of it. The goal of this prospective study is to compare macroscopic and pathologic diameters of gastric tumors resected by ESD. Methods: We prospectively enrolled gastric adenomas and adenocarcinomas and performed ESD for the tumors from July 2013 to November 2013. The tumor diameter was measured macroscopically by the same investigator with a hand ruler just after removal. Thereafter, it was measured pathologically by the same pathologist on mapping charts after processing specimen. Results: We included 50 gastric tumors (gastric adenomas were 39 and gastric adenocarcinomas were 11). In all tumors, mean of the macroscopic diameter (20.44 ± 8.28 mm) was signifi cantly larger than mean of the pathologic diameter (14.92 ± 8.33 mm, p < 0.001). But, in adenocarcinoma group, there was not signifi cant difference between mean of two diameters (19.80 ± 6.41 mm, 16.80 ± 5.73 mm, p > 0.05). The lesions of adenocarcinoma in adenoma were signifi cant difference (n=5, 19.80 ± 6.41 mm, 16.80 ± 5.73 mm, p < 0.05). Conclusions: In adenocarcinoma, tumor size was not decreased significantly after formalin fixation and slicing. But, the lesions of adenocarcinoma in adenoma was decreased signifi cantly. This study showed that ESD may be performed for adenocarcinoma in adenoma that crosses absolute indication of ESD for tumor size.

On sign non singularity and It's related algorithms for L-matrix

Lee, Sang-Gu,Seol, Han-Guk,Kim, Yu-Hyeog 성균관대학교 기초과학연구소 1997 論文集 Vol.48 No.-

A real m by n matrix A is called an L-matrix if every matrix in its qualitative class has linearly independent rows. Since the number of the sign pattern matrices of the given size is finite, we can list all patterns lexicographically. In [2], a necessary and sufficient condition for a matrix to be an L-matrix was given. We studied an algorithm which decide whether the given matrix is an L-matrix or not. In this paper, we develope an algorithm and C-program which will determine whether the given matrix is an L-matrix or not, so as is a SNS-matrix or not. In addition, we have extended our algorithm to be able to classify sign-pattern matrices, and to find barely L-matrices from a given matrix and to list all n by n L-matrices. This will be beneficial for its own aspect and it's related researches.

GRAPH REPRESENTATIONS OF NORMAL MATRICES

LEE SANG-GU,SEOL HAN-GUK Korean Mathematical Society 2006 대한수학회지 Vol.43 No.1

We call the bipartite graph G is normal provided the reduced adjacency matrix A of G is normal. In this paper we give graph representations of normal matrices. In addition we shall have the characterization of signed bipartite normal graphs.

『묵자』와 『원론』의 기하학적 내용 비교

이광연 ( Gwang Yoen Lee ),설한국 ( Han Guk Seol ),이유호 ( You Ho Lee ) 한서대학교 동양고전연구소 2014 동방학 Vol.31 No.-

본 『원론』은 초등수학의 기초를 논리적으로 순서 있게 해설하여 서양수학의 기초가 되었다. 『묵자』는 중국에서 기원전 500년경의 춘추전국시대에 활동했던 묵자의 사상을 엮은 책이다. 이 책에는 『원론』과 같은 수학적 내용이 포함되어 있다. 『묵자』와 『원론』의 수학적 내용은 정의가 같은 것도 있고 비슷한 것도 있지만 완전히 다른 것은 거의 없다. 이 논문에서는 『묵자』와 『원론』을 통하여 고대 동양의 수학과 고대 그리스의 수학 차이점과 공통점을 비교한다. 『묵자』는 수학적 내용 자체에 중점을 두었고, 『원론』은 수학적 내용을 전개하는 논리적인 방법에 중점을 두었다. 이는 동양이 수학적인 내용도 철학과 사상으로 해석하려 했던 반면 서양에서는 수학적 내용 자체를 연구하였기 때문이다. Euclid had given a logical explanation for elementary mathematics in Elements. So Elements became the basis of modern Western mathematics. Mojia is a book published about BC 500 years in China`s Warring States Period. Mojiacontains the mathematical details the same as Elements. In this paper, we compare the differences and similarities of Ancient Orient and Greece mathematics from Mojia and Elements. Mojia is focused on mathematical content, but Elements is focused on a logical way to develop mathematical content. The reason is that the mathematical content of the Orient dealt philosophically while, in the West, has studied the mathematical content itself. This is the biggest difference of the mathematical point of view between ancient Orient and ancient Greece.