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Some global error bounds with undetermined parameters, which are not always valid, for the extended vertical linear complementarity problems (LCP) of CKV-type matrices and CKV-type B -matrices, are presented by Yan and Wang (Jpn. J. Ind. Appl. Math. 41:129–150, 2024). In this paper, new global error bounds for the extended vertical LCP of CKV-type matrices and CKV-type B -matrices are given, which depend only on the entries of the involved matrices. Numerical examples show that the new bounds are better than those provided in Zhang et al. (Comput. Optim. Appl. 42(3):335–352, 2009) and Wang et al. (Comput. Appl. Math. 40:148, 2021) in some cases. [ABSTRACT FROM AUTHOR]

In a deliberately provocative first part to this paper, I argue that nineteenth-century British mathematicians had an unduly high opinion of themselves and a striking lack of appreciation for contemporary continental developments. I argue that this failure was rooted in the institutions that supported mathematics, and was only remedied towards the end of the century. In the more sober second half of the paper I ask if historians of mathematics have subscribed to this overestimate, and explore some related questions, among them what are historians doing when they write history: telling it as it was, or righting or defending the record? Historians of mathematics also need to consider British priorities for research in the nineteenth century, and a comparison with other minor players (such as Japan, Portugal, or Poland) might be illuminating. [ABSTRACT FROM AUTHOR]

It has been pointed out by Li, Hashimoto and Kanemitsu [Ito, T., 2006, On an integral representation of special values of the zeta function at odd integers. Journal of the Mathematical Society of Japan, 58, 681-691.] that the recent result of Ito [Li, H.-L., Hashimoto, M. and Kanemitsu, S., 2007, Examples of the Hurwitz transforms, in press.] is example 5.2 of Espinosa and Moll [Mikolás, M., 1957, A simple proof of the functional equation for the Riemann zeta-function and a forumula of Hurwitz. Acta Scientiarum Mathematicarum (Szeged), 18, 261-263.], whose main results in turn are contained in a more anteceding deep result of Mikolás [Nakamura, T., 2006, A functional relation for the Tornheim double zeta function. Acta Arithmetica, 125, 257-263.]. In this paper, we shall clarify the situation more completely and give some further results, from the point of view of application of the functional equation. [ABSTRACT FROM AUTHOR]

Abstract: Carlitz has introduced an interesting q-analogue of Frobenius–Euler numbers in [L. Carlitz, q-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948) 987–1000; L. Carlitz, q-Bernoulli and Eulerian numbers, Trans. Amer. Math. Soc. 76 (1954) 332–350]. He has indicated a corresponding Stadudt–Clausen theorem and also some interesting congruence properties of the q-Euler numbers. A recent author''s study of more general q-Euler and Genocchi numbers can be found in previous publication [T. Kim, L.C. Jang, H.K. Pak, A note on q-Euler and Genocchi numbers, Proc. Japan Acad. Ser. A Math. Sci. 77 (2001) 139–141]. In this paper we give a new construction of q-Euler numbers, which are different from Carlitz''s q-extension and author''s q-extension in previous publication (see [T. Kim, L.C. Jang, H.K. Pak, A note on q-Euler and Genocchi numbers, Proc. Japan Acad. Ser. A Math. Sci. 77 (2001) 139–141]). By using our q-extension of Euler numbers, we can also consider a new q-extension of Genocchi numbers and obtain some interesting relations between q-extension of Euler numbers and q-extension of Genocchi numbers. [Copyright &y& Elsevier]

This paper provides a framework for analyzing flood fatalities and injuries, and it describes the derivation of a generalized flood risk (i.e., flood consequences and their probabilities) function by introducing an integrated index (the number of residential buildings affected by a flood) that represents the major change in the power relation among the flood intensity, regional vulnerability, and resilience. Both the probabilities and the numbers of fatalities and injuries clearly increase significantly after the flood severity (in terms of the number of inundated buildings) passes a branch point. Below the branch point, it is still possible for fatalities and injuries to occur because of the variability in the data and the uncertainty in the predicted fatality values. The empirical models of fatalities and injuries due to floods in Japan suggested the usefulness in predicting fatalities and injuries and evaluating the efficacy of the warning or other emergency response measures. [ABSTRACT FROM AUTHOR]

This paper describes a method for separating online handwritten patterns into Japanese text, figures and mathematical formulas. Today, Tablet PCs and electronic whiteboards provide much larger writing area for pen interfaces unlike PDAs (Personal Digital Assistants), through which users can easily input text, write mathematical formulas and draw figures on the screen. The fact that these objects can be written by a single pen (marker) without switching the device, mode, software or whatever else, and without any writing restrictions such as grids or boxes is one of the most important benefits of the pen interfaces. However, the task of segmenting these objects is challenging. To address this issue, we have applied a probabilistic model employing stroke features, stroke crossings and stroke densities. Further, we partially apply the approach of segmentation by recognition. Although the current recognizer for formulas is not a true recognizer, we have achieved about 81% correct segmentation for all the strokes when applied to our newly prepared database of mixed patterns. This method has been compared with a neural-network. The results show that our method is generally better but less effective in distinguishing figures from other components. [ABSTRACT FROM AUTHOR]

How must n non-overlapping equal circles be packed in a given circle so that the diameter of the circles will be as large as possible? This paper presents an account of this problem and its putative solutions and related configurations in lotus receptacles, classical Japanese mathematics (wasan) and traditional Japanese design. Particular emphasis is placed on the connection between the conjectural solutions of this discrete geometrical problem and the fruit arrangements in the receptacles of lotuses, because in most cases the actual fruit arrangements are identical to the mathematical solutions. As the lotus is an important symbol in Buddhism and lotus decorations are quite common in Japanese Buddhist art, packings of circles in a circle have been represented in Japanese art for centuries. [ABSTRACT FROM AUTHOR]

This article presents a letter from the editor, which discusses this special issue of the “Journal of Mathematical Sociology. ” The journal discusses the third Joint American-Japanese Conferences on Mathematical Sociology at the Center for the Study of Cultural and Environmental Foundations of the Mind in Hokkaido University in Japan. The papers in the article present the utility of mathematical sociology concepts, ideas, techniques, perspectives, and approaches.

Presents information on the symposium "New Trends in Computational and Optimization Algorithms (NTOC2001)," organized and sponsored by the Institute of Statistical Mathematics, Tokyo, Japan from December 9 to 13, 2001. Topics of the symposium; Introduction to papers presented at the symposium.