Table Of ContentMathematics for Industry 11
Robert S. Anderssen · Philip Broadbridge
Yasuhide Fukumoto · Kenji Kajiwara
Tsuyoshi Takagi · Evgeny Verbitskiy
Masato Wakayama Editors
Applications +
Practical
Conceptualization +
Mathematics =
fruitful Innovation
Proceedings of the Forum of
Mathematics for Industry 2014
Mathematics for Industry
Volume 11
Editor-in-Chief
MasatoWakayama(KyushuUniversity,Japan)
ScientificBoardMembers
RobertS.Anderssen(CommonwealthScientificandIndustrialResearchOrganisation,Australia)
HeinzH.Bauschke(TheUniversityofBritishColumbia,Canada)
PhilipBroadbridge(LaTrobeUniversity,Australia)
JinCheng(FudanUniversity,China)
MoniqueChyba(UniversityofHawaiiatMānoa,USA)
Georges-HenriCottet(JosephFourierUniversity,France)
JoséAlbertoCuminato(UniversityofSãoPaulo,Brazil)
Shin-ichiroEi(HokkaidoUniversity,Japan)
YasuhideFukumoto(KyushuUniversity,Japan)
JonathanR.M.Hosking(IBMT.J.WatsonResearchCenter,USA)
AlejandroJofré(UniversityofChile,Chile)
KerryLandman(TheUniversityofMelbourne,Australia)
RobertMcKibbin(MasseyUniversity,NewZealand)
GeoffMercer(AustralianNationalUniversity,Australia)(Deceased,2014)
AndreaParmeggiani(UniversityofMontpellier2,France)
JillPipher(BrownUniversity,USA)
KonradPolthier(FreeUniversityofBerlin,Germany)
OsamuSaeki(KyushuUniversity,Japan)
WilSchilders(EindhovenUniversityofTechnology,TheNetherlands)
ZuoweiShen(NationalUniversityofSingapore,Singapore)
Kim-ChuanToh(NationalUniversityofSingapore,Singapore)
EvgenyVerbitskiy(LeidenUniversity,TheNetherlands)
NakahiroYoshida(TheUniversityofTokyo,Japan)
Aims&Scope
The meaning of “Mathematics for Industry” (sometimes abbreviated as MI or MfI) is different
fromthatof“MathematicsinIndustry”(orof“IndustrialMathematics”).Thelatterisrestrictive:it
tendstobeidentifiedwiththeactualmathematicsthatspecificallyarisesinthedailymanagement
andoperationofmanufacturing.Theformer,however,denotesanewresearchfieldinmathematics
thatmayserveasafoundationforcreatingfuturetechnologies.Thisconceptwasbornfromthe
integrationandreorganizationofpureandappliedmathematicsinthepresentdayintoafluidand
versatileformcapableofstimulatingawarenessoftheimportanceofmathematicsinindustry,as
well as responding to the needs of industrial technologies. The history of this integration and
reorganizationindicatesthatthisbasicideawillsomedayfindincreasingutility.Mathematicscan
beakeytechnologyinmodernsociety.
Theseriesaimstopromotethistrendby(1)providingcomprehensivecontentonapplications
of mathematics, especially to industry technologies via various types of scientific research, (2)
introducingbasic,useful,necessaryandcrucialknowledgeforseveralapplicationsthroughcon-
crete subjects, and (3) introducing new research results and developments for applications of
mathematicsintherealworld.Thesepointsmayprovidethebasisforopeninganewmathematics-
orientedtechnologicalworldandevennewresearchfieldsofmathematics.
More information about this series at http://www.springer.com/series/13254
Robert S. Anderssen Philip Broadbridge
(cid:129)
Yasuhide Fukumoto Kenji Kajiwara
(cid:129)
Tsuyoshi Takagi Evgeny Verbitskiy
(cid:129)
Masato Wakayama
Editors
Applications +
Practical
Conceptualization +
Mathematics =
fruitful Innovation
Proceedings of the Forum of Mathematics
for Industry 2014
123
Editors
RobertS. Anderssen TsuyoshiTakagi
CSIRO Computational Informatics Kyushu University
Canberra,ACT Fukuoka
Australia Japan
Philip Broadbridge Evgeny Verbitskiy
LaTrobe University Leiden University
Melbourne, VIC Leiden
Australia TheNetherlands
Yasuhide Fukumoto Masato Wakayama
Institute of Mathematics for Industry Institute of Mathematics for Industry
Kyushu University Kyushu University
Fukuoka Fukuoka
Japan Japan
KenjiKajiwara
Institute of Mathematics for Industry
Kyushu University
Fukuoka
Japan
ISSN 2198-350X ISSN 2198-3518 (electronic)
Mathematics for Industry
ISBN978-4-431-55341-0 ISBN978-4-431-55342-7 (eBook)
DOI 10.1007/978-4-431-55342-7
LibraryofCongressControlNumber:2015946073
SpringerTokyoHeidelbergNewYorkDordrechtLondon
©SpringerJapan2016
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Preface
This book is the proceedings of the conference “Forum Math-for-Industry 2014,”
for which the unifying theme was “Applications + Practical Conceptualization +
Mathematics=fruitfulInnovation.”Thisepigramencapsulatesthedynamicsofthe
process that takes an application through to an innovation. Industrial mathematics
can be viewed as the causal engine that implements the epigram by taking an
Application such as input and convolving it with a mixture of Practical
Conceptualization and Mathematics to generate a fruitful Innovation as output.
In industrial mathematics, the questions spawned by real-world applications are
what drive the resulting two-way interaction between a particular application and
the associated mathematics that is utilized and developed, and that sometimes
involves, quite unexpectedly, deeper aspects and new areas of mathematics than
initially anticipated.
The plan for the talks at the forum was to illustrate various aspects of this
two-way interaction between applications and the associated highlighting of how
the practical conceptualization assists with the linking of the question that encap-
sulates the current application to the relevant mathematics. The organizers believe
the plan was quite successful. Readers will find in this proceedings that the forum
can actually be viewed as a way for unifying the two-way interaction between
applications and mathematics.
Inamathematics-for-industrysituation,althoughtheapplicationcontextandthe
desired innovation are notionally relatively clear, it takes time to identify the
questions to be resolved. It is at this stage that conceptualization plays a key role
throughthegenerationofaplethoraofpossibilitiesofhowtolinkvariousquestions
to the mathematics that will generate reliable and useful answers. In a way, one is
remindedofthisquotationfromEdwardDavid:“Theimportanceofmathematicsis
not self-evident.”
Itacknowledgesthefactthattheroleofmathematicsplaysinsolvingreal-world
problems is often taken for granted. Circumspectly, using mathematics to solve
real-world problems is similar to a sculptor working with mechanical devices to
v
vi Preface
chisel out one of the possible forms hidden in the block of wood or stone being
carved. The one chosen is the result of the current subconscious conceptualization
oftheartist.Thatsculpturingcouldbeviewedfromthisperspectivecanbefoundin
Soseki Natsume’s series of short stories “Ten Nights of Dreams” (Yume-Juya) in
the Meiji Period (1868–1912). On the sixth night, the dreamer subconsciously
visualizesUnkei,thefamousJapanesetwelfth-centurysculptor(1150–1223),inthe
act of carving the two forbidding guardians of the Buddha Nio guarding the main
gate of the Gokoku-ji Temple. Unkei is so absorbed in the carving, he is unaware
of the noisy crowd gathered around him. The dreamer then visualizes that some
onlookerstheorizethatthesculptureoftheguardiansisalreadyhiddeninthewood
whichUnkeiisdiscoveringratherthancreating.Thedreamerthenconcludesthathe
should also be able to find Nio in the wood and heads home to attempt it.
Unfortunately,heisnotabletofindone.ThedreamertherebyconcludesthatNiois
no longer in the wood of the Meiji Period.
The first Japanese Field Medallist Kunihiko Kodaira, in 1954, echoed this
analogy in his remark that his theory of elliptic surfaces was not invented by him
but was just sculptured, using paper and pencil, from the wood of mathematics
where it was waiting to be discovered. The corresponding analogy for industrial
mathematics, independent of the dynamics outside the context of the application
being examined, is: “Answers to the questions that arise in an application are
sculpturedintorealityusingthetoolsofmathematics,whicharetherebydeveloped
and sharpened by this process.”
We would like to thank the participants of the forum, especially the members
of the Scientific Board of the Forum. Without their cooperation and support, we
would never have experienced the great excitement and success of the forum.
Moreover,wewouldliketoexpressourdeepappreciationforthegreathelpofthe
conference secretaries, especially Tsubura Imabayashi during the preparation and
organization of the forum, and Chiemi Furutani for the proceedings.
Fukuoka, Japan Masato Wakayama
April 2015 On behalf of the Organizing Committee
of the Forum Math-for-Industry 2014
and the Editorial Committee of the Proceedings
Preface vii
viii Preface
Preface ix
