Results 21 to 30 of about 120,189 (290)

Effective representations of the space of linear bounded operators

open access: yesApplied General Topology, 2003
Representations of topological spaces by infinite sequences of symbols are used in computable analysis to describe computations in topological spaces with the help of Turing machines.
Vasco Brattka
doaj   +1 more source

Linked Metadata for FAIR Digital Objects Carrying Computable Knowledge [PDF]

open access: yesResearch Ideas and Outcomes, 2022
Introduction To advance the goals of the Mobilizing Computable Biomedical Knowledge (MCBK) Movement, we are exploring the use of FAIR Digital Objects (FDOs) (De Smedt et al. 2020, Williams et al. 2021).First, we are beginning to clarify the full range of
Allen Flynn   +5 more
doaj   +3 more sources

More Reservoirs or Transfers? A Computable General Equilibrium Analysis of Projected Water Shortages in the Arkansas River Basin

open access: yesJournal of Agricultural and Resource Economics, 2000
A computable general equilibrium model of the southeastern Colorado economy is used to compare the economic impacts of a proposed increase in reservoir storage to an alternative: temporary water transfers.
D. Jay Goodman
doaj   +1 more source

On Productiveness and Complexity in Computable Analysis Through Rice-Style Theorems for Real Functions

open access: yesMathematics
This paper investigates the complexity of real functions through proof techniques inspired by formal language theory. Productiveness, which is a stronger form of non-recursive enumerability, is employed to analyze the complexity of various problems ...
Jingnan Xie   +2 more
doaj   +1 more source

A framework for annotating human genome in disease context. [PDF]

open access: yesPLoS ONE, 2012
Identification of gene-disease association is crucial to understanding disease mechanism. A rapid increase in biomedical literatures, led by advances of genome-scale technologies, poses challenge for manually-curated-based annotation databases to ...
Wei Xu   +6 more
doaj   +1 more source

The weakness of being cohesive, thin or free in reverse mathematics [PDF]

open access: yes, 2016
Informally, a mathematical statement is robust if its strength is left unchanged under variations of the statement. In this paper, we investigate the lack of robustness of Ramsey's theorem and its consequence under the frameworks of reverse mathematics ...
Patey, Ludovic
core   +3 more sources

Feynman Meets Turing: Computability Aspects of Exact Circuit Synthesis, Gate Efficiency, and the Spectral Gap Conjecture

open access: yesIEEE Transactions on Quantum Engineering
We consider exact quantum circuit synthesis, quantum gate efficiency, and the spectral gap conjecture from the perspective of computable analysis. Circuit synthesis, in both its exact and its approximate variant, is fundamental to the circuit model of ...
Yannik N. Boeck   +2 more
doaj   +1 more source

Computability and Analysis, a Historical Approach

open access: yes, 2016
The history of computability theory and and the history of analysis are surprisingly intertwined since the beginning of the twentieth century. For one, \'Emil Borel discussed his ideas on computable real number functions in his introduction to measure ...
Brattka, Vasco
core   +1 more source

Abstract Geometrical Computation and Computable Analysis [PDF]

open access: yes, 2009
Extended Signal machines are proven able to compute any computable function in the understanding of recursive/computable analysis (CA), here type-2 Turing machines (T2-TM) with signed binary encoding. This relies on an intermediate representation of any real number as an integer (in signed binary) plus an exact value in $(-1,1)$ which allows to have ...
openaire   +2 more sources

Computable Frames in Computable Banach Spaces

open access: yesInternational Journal of Analysis and Applications, 2016
We develop some parts of the frame theory in Banach spaces from the point of view of Computable Analysis. We define computable M-basis and use it to construct a computable Banach space of scalar valued sequences.
S.K. Kaushik, Poonam Mantry
doaj   +2 more sources

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