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Article type: Cover
1994 Volume 4 Issue 4 Pages
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Published: December 15, 1994
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Article type: Index
1994 Volume 4 Issue 4 Pages
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Article type: Index
1994 Volume 4 Issue 4 Pages
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Teruo Ushijima
Article type: Article
1994 Volume 4 Issue 4 Pages
313-
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Article type: Appendix
1994 Volume 4 Issue 4 Pages
314-315
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Masao Iri
Article type: Article
1994 Volume 4 Issue 4 Pages
316-326
Published: December 15, 1994
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It is pointed out that the same mathematical formalism obtains for (i) the well-known classical relation between the normal stress and the tangential (shearing) stress across an areal section of a continuum, which is represented in terms of the so-called Mohr's stress circle in elasticity theory (or the theory of strength of materials) , and for (ii) a less known relation between the mean and the standard deviation of a discrete probability distribution, and, moreover, that the well-established technique of linear programming is a best tool to handle that formalism for(i) and (ii)with. It is shown also that a number of traditionally noted, practically useful theorems on the location of eigenvalues of an Hermitian matrix by means of the Rayleigh quotient (and the norm of the residual vector) can be better understood intuitively and naturally within the same formalism. Throughout the present arguments, "probabilities" correspond to the squares of the absolute values of the orthogonal projections of a vector to the eigenspaces of an Hermitian operator. This fact may suggest some latent deeper connections between (i) and (ii).
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Hiroshi Kokubu
Article type: Article
1994 Volume 4 Issue 4 Pages
327-340
Published: December 15, 1994
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Given a vector field, its simplified expression in terms of coordinate transformations is called a normal form of the dynamical system generated by the vector field. The purpose of this paper is to give a brief exposition of recent progress in the normal form theory for vector fields. More attention is paid to the algorithm for its computation as well as applications rather than the theoretical details. After explaining a brief idea about normal forms in §1, we start with the basic definition of normal forms and give a simple example in §2, and in §3 we explain a detailed algorithm for the computation of normal forms based on a simple general principle given in §2. §4 is devoted to a sketch of analysis of a laser equation as an application of normal forms to concrete differential equations.
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Yoshikane Ishii
Article type: Article
1994 Volume 4 Issue 4 Pages
341-344
Published: December 15, 1994
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Tatsuhiko Aizawa, Yukihiro Asano, Shin-Ichi Ohishi, Shigeo Kusuoka, Sa ...
Article type: Article
1994 Volume 4 Issue 4 Pages
345-364
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Kohnosuke Kawashima
Article type: Article
1994 Volume 4 Issue 4 Pages
365-367
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Akihiko Yokoyama
Article type: Article
1994 Volume 4 Issue 4 Pages
368-369
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Norio Takahashi
Article type: Article
1994 Volume 4 Issue 4 Pages
370-371
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Lei Li
Article type: Article
1994 Volume 4 Issue 4 Pages
372-373
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Nobuo Aoki
Article type: Article
1994 Volume 4 Issue 4 Pages
374-
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Yasuhiko Hangai
Article type: Article
1994 Volume 4 Issue 4 Pages
375-376
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Peter Deuflhard, Emi Norris, [in Japanese]
Article type: Article
1994 Volume 4 Issue 4 Pages
377-383
Published: December 15, 1994
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Article type: Appendix
1994 Volume 4 Issue 4 Pages
384-390
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Tatsuoki Takeda
Article type: Article
1994 Volume 4 Issue 4 Pages
391-392
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Kazuo Murota
Article type: Article
1994 Volume 4 Issue 4 Pages
392-394
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Hiroshi Konno
Article type: Article
1994 Volume 4 Issue 4 Pages
395-396
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Keiko Imai
Article type: Article
1994 Volume 4 Issue 4 Pages
397-398
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Hideo Kawarada
Article type: Article
1994 Volume 4 Issue 4 Pages
399-
Published: December 15, 1994
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Article type: Appendix
1994 Volume 4 Issue 4 Pages
400-405
Published: December 15, 1994
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Article type: Index
1994 Volume 4 Issue 4 Pages
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Article type: Appendix
1994 Volume 4 Issue 4 Pages
408-
Published: December 15, 1994
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Article type: Cover
1994 Volume 4 Issue 4 Pages
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Published: December 15, 1994
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