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The Impact of Applications on Mathematics

Part of the Mathematics for Industry Book Series (volume 1)

Editors: Wakayama, Masato; Anderssen, Robert S.; Cheng, Jin; Fukumoto, Yasuhide; McKibbin, Robert; Polthier, Konrad; Takagi, Tsuyoshi; Toh, Kim-Chuan

DOI: 10.1007/978-4-431-54907-9

ISBN: 978-4-431-54906-2

Publisher: Springer Japan - Springer Journals

Jul 19, 2014

1 - 10 of 29 Chapters

Available

Modelling Collective Cytoskeletal Transport and Intracellular Traffic

Parmeggiani, Andrea; Neri, Izaak; Kern, Norbert

Pages: 1 –25

[Biological cells require active fluxes of matter to maintain their internal organization and perform multiple tasks to live. In particular they rely on cytoskeletal transport driven by motor proteins, ATP-fueled molecular engines, for delivering vesicles and biochemically active cargoes inside...
Available

Tumour Cell Biology and Some New Non-local Calculus

Wake, Graeme; Zaidi, Ali A.; van-Brunt, Bruce

Pages: 27 –33

[Living cell populations which are simultaneously growing and dividing are usually structured by size, which can be, for example, mass, volume, or DNA content. The evolution of the number density \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}...
Available

Industrial Mathematics in Europe

Schilders, Wil

Pages: 35 –49

[In this paper, we give an overview of the development of industrial mathematics in Europe. The advent of activities is in the 1970s, when, especially in Oxford, the potential of applications of mathematics was realized by Alan Tayler and co-workers, and the very successful study groups with...
Available

Visualizing Multivariate Data Using Singularity Theory

Saeki, Osamu; Takahashi, Shigeo; Sakurai, Daisuke; Wu, Hsiang-Yun; Kikuchi, Keisuke; Carr, Hamish; Duke, David; Yamamoto, Takahiro

Pages: 51 –65

[This is a survey article on recent developments in visualization of large data, especially that of multivariate volume data. We present two essential ingredients. The first one is the mathematical background, especially the singularity theory of differentiable mappings, which enables us to...
Available

Two Applications of Geometric Optimal Control to the Dynamics of Spin Particles

Bonnard, Bernard; Chyba, Monique

Pages: 67 –83

[The purpose of this article is to present the application of methods from geometric optimal control to two problems in the dynamics of spin particles. First, we consider the saturation problem for a single spin system and second, the control of a linear chain of spin particles with Ising...
Available

Cryptographic Technology for Benefiting from Big Data

Hakuta, Keisuke; Sato, Hisayoshi

Pages: 85 –95

[“Big Data” technology is the process of collecting and storing large amounts and wide varieties of data sets, and extracting valuable information and/or knowledge by analyzing them. Big Data analytics plays an important role in improving business services and quality of life. However, Big Data...
Available

Secure Cryptographic Module Implementation and Mathematics

Choi, Dooho; Choi, Yongjae; Kang, Yousung; Lee, Seungkwang

Pages: 97 –113

[Cryptographic Engineering is defined by the discipline of using cryptography to solve human problems (from the Wikipedia [1]). Main focus of the cryptographic engineering is to implement the cryptographic primitives based on mathematics to the real world device as the manner of software or...
Available

The Continuing Challenge of Steel: How to Win Mathematicians and Influence Scientists in Other Disciplines

Sato, Kaoru

Pages: 115 –122

[The steel industry is a growing industry. We have seen constant improvements in the steel quality with the help of analytical sciences and the measurement technology. The challenge of steel continues. Collaborations with scientists in other disciplines are vital for the innovation in steel: The...
Available

Implicit Methods for Simulating Low Reynolds Number Free Surface Flows: Improvements on MAC-Type Methods

Cuminato, José A.; Oishi, Cassio M.; Figueiredo, Rafael A.

Pages: 123 –139

[This paper is concerned with describing the main improvements introduced to the MAC (Marker-And-Cell) method for the numerical simulation of low Reynolds number free surface flows, namely: a stable implicit treatment of the pressure boundary condition for projection methods, a semi-implicit...
Available

Robust Naive Bayes Combination of Multiple Classifications

Ueda, Naonori; Tanaka, Yusuke; Fujino, Akinori

Pages: 141 –155

[When we face new complex classification tasks, since it is difficult to design a good feature set for observed raw data, we often obtain an unsatisfactorily biased classifier. Namely, the trained classifier can only successfully classify certain classes of samples owing to its poor feature set....

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