In this article, we try to present a potential plan or crude design, and perspective for
promoting mathematics-for-industry. Since the mid-1990s, the drastic improvements in computer
performance have forged a much closer link of mathematics to science (including social science),
technology and industry. Getting such high performance computer, we have now a new feature of
applications of mathematics to industrial-scientific technology (through several software). Those
applications may also provide an impact and new development on mathematics itself, and then, again
be able to develop further the world of mathematical science.
This document gives a brief explanation for what is “Statistical Mathematics,” and describes
how its notion has been expanding to a wide variety of research fields. The recent interests of
statistical mathematics are focused on generating more flexible mathematical models for describing
complex phenomena in terms of data generation mechanism and/or its function. Such efforts demand
collaborative works with the machine learning community in a big data era which we are now faced
The authors review the historical and current perspectives of development, application
and its supporting communities of statistics particularly in the field of official statistics, biometrics,
psychometrics and technometrics to clarify their similarities and differences from the viewpoints of
the roles in the society.
Mathematical science is expected to be one of the most fundamental research fields that
promote the next-generation scientific and technological innovation. Mathematical science is not
staying within the traditional academic nutshell, but is crossing the other scientific and technological
fields and industry. Great expectations are put on the industrial applications that enable the Japanese
industry to fight the global competition employing the advanced mathematical tools. In this paper,
the industry-academia collaboration is discussed in terms of application of computer simulation.
The author clarifies the position of mathematical sciences in trans-disciplinary sciences
and technologies after he reviews typical roles of classical mathematical sciences as the method of
fluxions by Newton and historical efforts to explain mathematical sciences to non-mathematicians
by Clifford and Pearson. He also tries the classification of the function of mathematical scientific
methods from the viewpoints of their objects and operations.
This paper introduces activities of Reliability Engineering Association of Japan (REAJ).
REAJ is a volunteer group of professionals who engages in assuring reliability and safety of various
products, system, and human systems. REAJ organizes some symposiums and forums to encourage
for academic and industrial developments, and publishes scientific journal to introduce the latest
research. Some study groups are contributing to mutual communications of members who have