• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.695-708
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• 2022

In this paper, we present a new definition and generalization of the first and second kinds of Daehee numbers and polynomials with the higher order. Some new results for these polynomials and numbers are derived. Furthermore, some interesting special cases of the new generalized Daehee polynomials and numbers of higher order are deduced.

• The Pure and Applied Mathematics
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• v.13 no.4 s.34
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• pp.311-318
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• 2006

In this paper we establish some new identities involving Stirling numbers of both kinds. These identities are obtained via Riodan arrays with a variable x. Some well-known identities are obtained as special cases of the new identities for the specific number x.

• Asian Pacific Journal of Cancer Prevention
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• v.15 no.19
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• pp.8423-8427
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• 2014

Background: Cancer is the most common cause of death in Thailand, where treatment outcomes and prognosis are poor and mortality rates remain high. This study reports new cancer cases and trends of all cancers registered in Srinagarind Hospital from 1993 to 2012 and also provides a picture of the cancer situation in Northeast Thailand. Materials and Methods: All new cases of cancer registered in the hospital-based cancer registry at Faculty of Medicine, Srinagarind Hospital, Khon Kaen University during 1993-2012 were included in the study. Results and Conclusions: The number of new cancer cases has gradually increased each year during the last 20 years. The three most common cancers at present in males are liver and bile duct cancer, lung cancer and colorectal cancer, respectively. In females, liver and bile duct, breast and thyroid cancers are now the most frequent. Interestingly, the number of cases of both liver and bile duct cancer and colorectal cancer in males noticeably increased during the second decade of the study. Additionally, breast cancer greatly increased in the same decade and lung cancer in females climbed into the top five most common cancers. Thyroid cancer has also risen steadily in the last decade. Trends of common cancers are similar to those throughout Thailand.

• Journal of the Korean Society for Library and Information Science
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• v.28
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• pp.23-70
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• 1995

This study is to survey the present book numbers used in Korean libraries. to analyze their problems. and to suggest improvement in the book numbers. As the results of the survey several suggestions are derived as follows. 1. The education to the librarians about the kinds and the application methods of the book numbers used in Korean libraries should be sufficiently offered. 2. The present book numbers used should be expanded in detail for avoiding the duplication of the call numbers. Also when book numbers are assigned. shelf list cards should be examined one by one not to give the same number. If the book numbers are overlapped in the state not to expand further. libraries should establish a detailed expansion rules according to their respective situation and maintain it consistently. However, it is impossible for libraries operating open stack systems to arrange books on the shelves in call number sequence, therefore libraries can solve the problems as they accept duplication cases. 3. Since the object word of main mark IS a heading In main entry, we must apply cataloging rules to it closely. 4. For expanding book numbers widely it is desirable that the subsidiary mark of the book numbers which is the most prevalent in general and will be the most preferable In the future through the survey should be added and be provided. 5. The book numbers used being changed, we are to assign new book number leaving former materials as they are at the point of adopting a new book number. So aged materials are stored in a repository or on a compact shelf in the stack, will be discarded or weeded according to subjects after a certain period of time. 6. With library automation bringing together all the books of an author in a particular subject or in a particular form and avoiding completely duplication in open stack systems are meaningless. Rather than chronological book numbers, distinguishing clearly new materials from aged materials and controlling the stack spaces mechanically and effectively, can be regarded as the most modern and future-oriented of all the book numbers.

• Honam Mathematical Journal
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• v.46 no.3
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• pp.407-427
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• 2024

The purpose of this article is to bring together the Horadam numbers and 3-parameter generalized quaternions, which are a general form of the quaternion algebra according to 3-parameters. With this purpose, we introduce and examine a new type of quite big special numbers system, which is called Horadam 3-parameter generalized quaternions (shortly, Horadam 3PGQs), and special cases of them. Besides, we compute both some new equations and classical well-known equations such as; Binet formulas, generating function, exponential generating function, Poisson generating function, sum formulas, Cassini identity, polar representation, and matrix equation. Furthermore, this article concludes by presenting the determinant, characteristic polynomial, characteristic equation, eigenvalues, and eigenvectors in relation to the matrix representation of Horadam 3PGQ.

• Bulletin of the Korean Mathematical Society
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• v.61 no.3
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• pp.671-697
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• 2024

In this paper, we formally introduce the notion of a general parametric digamma function Ψ(−s; A, a) and we find the Laurent expansion of Ψ(−s; A, a) at the integers and poles. Considering the contour integrations involving Ψ(−s; A, a), we present some new identities for infinite series involving Dirichlet type parametric harmonic numbers by using the method of residue computation. Then applying these formulas obtained, we establish some explicit relations of parametric linear Euler sums and some special functions (e.g. trigonometric functions, digamma functions, Hurwitz zeta functions etc.). Moreover, some illustrative special cases as well as immediate consequences of the main results are also considered.

• Korean Journal of Clinical Laboratory Science
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• v.43 no.4
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• pp.156-160
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• 2011

It was confirmed that we got somewhat different results even though we performed same items with same methods from capillaries and venous blood of healthy 72 cases. Items which capillaries blood has higher value than venous blood are the numbers of erythrocyte, lymphocyte, basophil, hematocrit, MCHC and RDW. Total numbers of RBC (p<0.035), lymphocyte and basophil are shown statistically significance. Items which venous blood has higher value than capillary blood are the numbers of platelet (p<0.00) and neutrophil (p<0.01). Fallible items in clinics can be shown the numbers of RBC, platelet, lymphocyte and neutrophil because we got somewhat different results even though we performed same items with same methods from capillaries and venous blood, respectively. It is necessary to choose the clear criteria and normal value depends on clinical specimen as the number of platelets are measured with an abnormal value shown over 40% down. As normal difference according to each item and method is currently acceptable and applicable in clinics, it is considered that a new normal value depends on clinical specimen should be established and is to be useful positively in clinics.

• Architectural research
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• v.8 no.2
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• pp.27-36
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• 2006

Structural uncertainties are generally modeled using probabilistic approaches in order to quantify uncertainties in behaviors of structures. This uncertainty results from the uncertainties of structural parameters. Monte Carlo methods have been usually carried out for analyses of uncertainty problems where no analytical expression is available for the forward relationship between data and model parameters. In such cases any direct mathematical treatment is impossible, however the forward relation materializes itself as an algorithm allowing data to be calculated for any given model. This study addresses a new method which is utilized as a basis for the uncertainty estimates of structural responses. It applies double uniform random numbers (i.e. DURN technique) to conventional Monte Carlo algorithm. In DURN method, the scenarios of uncertainties are sequentially selected and executed in its simulation. Numerical examples demonstrate the beneficial effect that the technique can increase uncertainty degree of structural properties with maintaining structural stability and safety up to the limit point of a breakdown of structural systems.

• Journal of the Korean Mathematical Society
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• v.52 no.5
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• pp.907-928
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• 2015

We show in many cases that the Siegel-Ramachandra invariants generate the ray class fields over imaginary quadratic fields. As its application we revisit the class number one problem done by Heegner and Stark, and present a new proof by making use of inequality argument together with Shimura's reciprocity law.

• Proceeding of EDISON Challenge
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• 2015.03a
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• pp.521-526
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• 2015

A Sudoku puzzle is a kind of magic square puzzle which requires a non-repeated series of numbers from 1 to 9 in each 9 rows and 9 columns. Furthermore it contains total of 9 small three-by-three matrices, which need non-repeated numbers from 1 to 9 as well. Therefore the total number of possible cases of Sudoku puzzle is finite, even though that of creating nine-by-nine square is exponentially great. Accordingly a certain set of way is need not only for solving the puzzle, but also creating a new one. In this study, the method for creating a Sudoku puzzle applying genetic algorithm is suggested and will be demonstrated. Also, it will be shown that a Sudoku puzzle can be solved by genetic algorithm.