Transactions of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2424-0982
ISSN-L : 0917-2246

Search
Browse

All issues

Volume 19, Issue 2

Displaying 1-13 of 13 articles from this issue

Download citation

Show all abstracts

[title in Japanese]

Article type: Cover
2009 Volume 19 Issue 2 Pages Cover1-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_Cover1

JOURNAL FREE ACCESS

Download PDF (22102K)
[title in Japanese]

Article type: Cover
2009 Volume 19 Issue 2 Pages Cover2-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_Cover2

JOURNAL FREE ACCESS

Download PDF (22102K)
[title in Japanese]

Article type: Appendix
2009 Volume 19 Issue 2 Pages App1-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_App1

JOURNAL FREE ACCESS

Download PDF (41K)
[title in Japanese]

[in Japanese]

Article type: Article
2009 Volume 19 Issue 2 Pages i-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_i

JOURNAL FREE ACCESS

Download PDF (162K)
The Structure of Gradient Flow in Regular Points Area on Neurovarieties : The Structure of Gradient Flow in Regular Points Area of Parametric Function Approximation(Theory)

Masaharu ISHII

Article type: Article
2009 Volume 19 Issue 2 Pages 143-157
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_143

JOURNAL FREE ACCESS

Show abstractHide abstract

We assume that neurons have a strongly non-degenerate property in the mean including differentiation, express 3-layered neural networks as neurovarieties in function space with an inner product, and define a gradient flow of error-functions by the inner product. We study the gradient flow in the regular points area of the neurovariety. As a result, it is proved that Hessian matrices at the fixed points are non-degenerate and the fixed points are isolated, for almost every target function which is not on the neurovariety. Furthermore we can say that long (serious) plateaus arise only in the singular points area of the neurovariety.

View full abstract

Download PDF (1336K)
On Japanese Measure of Inequity in an Apportionment(Application)

Tetsuo Ichimori

Article type: Article
2009 Volume 19 Issue 2 Pages 159-168
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_159

JOURNAL FREE ACCESS

Show abstractHide abstract

The House of Representatives has 480 members and 300 members out of them are apportioned among 47 prefectures. Each apportionment is evaluated generally with respect to the criterion: the ratio of the maximum district size to the minimum district size. This paper shows that this criterion does not give an apportionment proportional to the population of prefectures. The actual apportionment is determined by the method of apportioning 253 members among 47 prefectures under the method of greatest remainders and adding one member to each prefecture. In addition, it is shown that this method is not proportional either.

View full abstract

Download PDF (857K)
The Derivation of a Variational Principle Minimizing Experimental Measurement Errors and the Formulation of an Intelligent Hybrid Measurement Method for Non-steady-state Temperature Fields(Application)

Toshihisa Nishioka, Masahiko Wakabayashi, Takehiro Fujimoto

Article type: Article
2009 Volume 19 Issue 2 Pages 169-181
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_169

JOURNAL FREE ACCESS

Show abstractHide abstract

A variational principle that minimizes the errors and noises associated with experimental measurements of two-dimensional non-steady-state temperature fields is investigated. The variational principle also assures the satisfaction of the governing time-developing heat conduction equation. On the basis of the variational principle, an intelligent hybrid experimental-numerical method is formulated and a scheme of calculation is presented. Furthermore, a numerical simulation is illustrated. The present paper is the extension of studies in steady-state temperature fields and is the development of researches in elastic deformation fields, elastic-plastic deformation fields, and the near-field of an interface crack tip.

View full abstract

Download PDF (959K)
High-Order Numerical Integrations of Energy Changes for Non-autonomous Hamiltonian Systems

Yuji Ishimori

Article type: Article
2009 Volume 19 Issue 2 Pages 183-203
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_183

JOURNAL FREE ACCESS

Show abstractHide abstract

We introduce extended autonomous Hamiltonian systems which are equivalent to non-autonomous Hamiltonian systems. Applying the high-order energy conserving integrators to the extended systems, we construct integrators for the non-autonomous systems, by which we can calculate the changes of energy with an accuracy of high-order.

View full abstract

Download PDF (1070K)
[title in Japanese]

Article type: Appendix
2009 Volume 19 Issue 2 Pages App2-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_App2

JOURNAL FREE ACCESS

Download PDF (74K)
[title in Japanese]

Article type: Appendix
2009 Volume 19 Issue 2 Pages App3-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_App3

JOURNAL FREE ACCESS

Download PDF (74K)
[title in Japanese]

Article type: Appendix
2009 Volume 19 Issue 2 Pages App4-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_App4

JOURNAL FREE ACCESS

Download PDF (74K)
[title in Japanese]

Article type: Cover
2009 Volume 19 Issue 2 Pages Cover3-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_Cover3

JOURNAL FREE ACCESS

Download PDF (420K)
[title in Japanese]

Article type: Cover
2009 Volume 19 Issue 2 Pages Cover4-
Published: June 25, 2009
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.19.2_Cover4

JOURNAL FREE ACCESS

Download PDF (420K)

feedback

Top

Register with J-STAGE for free!