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- Takakazu Mori, Yoshiki Tsujii, Mariko Yasugi
- CCA
- 2005

In this article, we discuss the Fine computability and the effective Fine convergence for functions on [0, 1) with respect to the Fine metric as the beginning of the effective Walsh-Fourier analysis. First we treat classically the Fine continuity and the Fine convergence. Next, we prove that Fine computability does not depend on the choice of an effective… (More)

- Mariko Yasugi, Takakazu Mori, Yoshiki Tsujii
- Theor. Comput. Sci.
- 1999

An effective sequence of unifomities on a set and its limit are defined. By taking the diagonal of the limit space, we can express the uniform computability of the Rademacher function system, which is the basis of Walsh-Fourier analysis.

- Takakazu Mori, Yoshiki Tsujii, Mariko Yasugi
- DMTCS
- 1996

- Yoshiki Tsujii, Mariko Yasugi, Takakazu Mori
- CCA
- 2000

- Mariko Yasugi, Masako Washihara
- Words, Languages & Combinatorics
- 2000

Contents Abstract We will speculate on some computational properties of the system of Rademacher functions f n g. The n-th Rademacher function n is a step function on the interval [0; 1), jumping at nitely many dyadic rationals of size 1 2 n and assuming values f1; 01g alternatingly.

- Mariko Yasugi, Yoshiki Tsujii, Takakazu Mori
- Math. Log. Q.
- 2002

- Mariko Yasugi, Yoshiki Tsujii
- Electr. Notes Theor. Comput. Sci.
- 2002

y Abstract We will speculate on the theory of the eeective sequence of unifomities on a set and its eeective limit as a methodology to vest a sequence o f r eal functions which h a ve diierent points of discontinuities with some notion of computability. Some model examples which explain the necessity of such a methodology are presented.

- Takakazu Mori, Mariko Yasugi, Yoshiki Tsujii
- Math. Log. Q.
- 2008