## Abstract Let __A__~โ~(๐ป) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~โ~(๐ป) has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient conditi
BOUNDS IN THE TURING REDUCIBILITY OF FUNCTIONS
โ Scribed by Karol Habart; K. Habart
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 374 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
A hierarchy of functions with respect to their role as bounds in the Turing reducibility of functions is introduced and studied. This hierarchy leads to a certain notion of incompressibility of sets which is also investigated.
๐ SIMILAR VOLUMES
We show that, subject to a certain condition, the number of zeros of a spline function is bounded by the number of strong sign changes in its sequence of B-spline coefficients. By writing a general spline function as a sum of functions which satisfy the given condition, we can deduce known bounds on
Let ฮq (0 < q = 1) be the q -gamma function and let s โ (0, 1) be a real number. We determine the largest number ฮฑ = ฮฑ(q, s) and the smallest number ฮฒ = ฮฒ(q, s) such that the inequalities hold for all positive real numbers x. Our result refines and extends recently published inequalities by Ismail
This paper develops a new technique that finds almost tight lower bounds for the complexity of programs that compute or approximate functions in a realistic RAM model. The nonuniform realistic RAM model is a model that uses the arithmetic ร 4 operations q, y, = , the standard bit operation Shift, Ro