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A Dimension, Dimension Modules, and Markov Chains
Proceedings of the London Mathematical Society, 1983The author continues his joint work with \textit{W. Parry} [Ergodic Theory and Dyn. Syst. 1, 303-335 (1981; Zbl 0485.60063) and Bull. London Math. Soc. 14, 16-27 (1982; Zbl 0481.28015)] extending the theory of topological Markov chains to stochastic Markov chains by introducing a new notion of dimension and thus paralleling \textit{W.
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Bounding the Global Dimension in Terms of the Dimension
Bulletin of the London Mathematical Society, 1985Let k be a field. The author establishes the long suspected existence of a function f such that gl.dim(A)\(\leq f(n)\) for any n-dimensional k- algebra A of finite global dimension.
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Resistance dimension, random walk dimension and fractal dimension
Journal of Theoretical Probability, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Relations and Differences Between Popper Dimension, Exclusion Dimension and VC-Dimension
2013A high-level relationPopper dimension—( Exclusion dimension—( VC dimension—( between Karl Popper’s ideas on “falsifiability of scientific theories” and the notion of “overfitting”Overfitting in statistical learning theory can be easily traced. However, it was pointed out that at the level of technical details the two concepts are significantly ...
Seldin, Yevgeny, Scholkopf, Bernhard
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Proceedings Supercomputing '92, 2003
The representation of documents and queries as vectors in a high-dimensional space is well-established in information retrieval. The author proposes that the semantics of words and contexts in a text be represented as vectors. The dimensions of the space are words and the initial vectors are determined by the words occurring close to the entity to be ...
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The representation of documents and queries as vectors in a high-dimensional space is well-established in information retrieval. The author proposes that the semantics of words and contexts in a text be represented as vectors. The dimensions of the space are words and the initial vectors are determined by the words occurring close to the entity to be ...
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Mathematische Nachrichten, 1989
AbstractWe give an unified characterization of dimension functions for generalized HAUSDORFF‐BESICOVITCH dimension and metric dimension.
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AbstractWe give an unified characterization of dimension functions for generalized HAUSDORFF‐BESICOVITCH dimension and metric dimension.
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The journal coverage of Web of Science, Scopus and Dimensions: A comparative analysis
Scientometrics, 2021Jacqueline Leta +2 more
exaly
On dimensions of dimension-bounded linear systems
Science China Information Sciences, 2020Peixin Zhao +3 more
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A Review of Nanomaterials with Different Dimensions as Lubricant Additives
Nanomaterials, 2022Wenwen Liu, Xiaoxi Qiao
exaly

