«DIAGONAL PROCESS»に関連する英語の本
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1
An Introduction to Analysis
(Hint: Use the diagonal process.) N. (i) Let Xi , . . . , Xn be complete metric spaces,
and let n = x, x . . . x Xn be equipped with a product metric p (Prob. 6H) with
respect to which each projection 7rj of n onto Xt,i = 1, . . . , n, is uniformly
continuous.
Arlen Brown, Carl M. Pearcy, 1995
2
Bertrand Russell Memorial Volume
terms 'real number', 'set' and 'function' have consequences for real number theory
can now be usefully illustrated. The different conclusions drawn by Cantor and
non-Cantorians from the diagonal process may appear to reflect a difference of ...
Roberts, George W, Roberts George W, 2013
Cantor's diagonal process is indeed wonderful. There are no terms to be
memorized, no technique to be mastered; it is pure idea, and it leads to a lovely
structure of infinities, far transcending the finite universe. The process is not only
...
4
Alan Turing: His Work and Impact: His Work and Impact
It might, for instance, be thought that the limit of a sequence of computable
numbers must be computable. This is clearly only true if the sequence of
computable numbers is defined by some rule. Or we might apply the diagonal
process.
S. Barry Cooper, J. van Leeuwen, 2013
This procedure is called the Cantor diagonal process. 12. \ Use the Cantor
diagonal process to give a different proof of the Ascoli Arzela theorem than that
presented in this chapter. Hint: Start with a sequence of functions in C(X;Mn) and
use ...
6
Infinite-Horizon Optimal Control in the Discrete-Time Framework
When the limit of (r,),eN exists in [—00, +00], we have lim sup(r, + s,) I lim r, + lim
sup s, t—>+<>O 1I>+°° l—>+00 and lim inf(r, + s,) I lim r, + liminfs,. t—>+00 t—>+
00 t—>+00 A.2 A Diagonal Process of Cantor The aim of this section is to prove ...
Joël Blot, Naïla Hayek, 2013
Application of the diagonal process. It may be thought that arguments which
prove that the real numbers are not enumerable would also prove that the
computable numbers and sequences cannot be enumerable*. It might, for
instance, ...
R.O. Gandy, C.E.M. Yates, 2001
8
The Undecidable: Basic Papers on Undecidable Propositions, ...
Application of the diagonal process. It may be thought that arguments which
prove that the real numbers are not enumerable would also prove that the
computable numbers and sequences cannot be enumerable*. It might, for
instance, ...
9
Transition Metal and Rare Earth Compounds III: Excited ...
13.2 Phonon-assisted Energy Transfer: Diagonal Process The CF of Ln3+ varies
from site to site due to the presence of defects, dislocations or lattice strains
which inhomogeneously broaden and shift the energy levels. In this case, and
also in ...
10
Managing the Dynamics of New Product Development Processes: ...
The importance of this extended dynamic capability of logic changes is further
discussed in Sect. 11.11 The partitioning procedure yields serial, fully parallel,
and block-diagonal process cases, which are addressed by the DSM literature.
Arie Karniel, Yoram Reich, 2011
