パーソナリティ研究 2004 第13 巻　第1 号　79–90

In the literature it is usually studied in one of several different contexts, for example in the game of Wythoff Nim, in connection with Beatty sequences and with so-called

As in the previous case, their definition was couched in terms of Gelfand patterns, and in the equivalent language of tableaux it reads as follows... Chen and Louck remark ([CL], p.

An important problem in the theory of quadratic forms is to determine when an anisotropic quadratic form ' over F becomes isotropic over the function eld F ( ) of another form.

One of several properties of harmonic functions is the Gauss theorem stating that if u is harmonic, then it has the mean value property with respect to the Lebesgue measure on all

It follows by Theorem 5.1 and Corollary 5.3 that X is a metric Euclidean building and that it factors as a product of irreducible Euclidean buildings, cones on spherical

We have formulated and discussed our main results for scalar equations where the solutions remain of a single sign. This restriction has enabled us to achieve sharp results on

Lemma 4.1 (which corresponds to Lemma 5.1), we obtain an abc-triple that can in fact be shown (i.e., by applying the arguments of Lemma 4.4 or Lemma 5.2) to satisfy the

In this paper we prove in Theorem 5.2 that if we assume (1.1) satisfying the conditions of the Equivariant Hopf Theorem and f is in Birkhoff normal form then the only branches