Riemann space


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Riemann space

[′rē‚män ‚spās]
(mathematics)
A Riemannian manifold or subset of a euclidean space where tensors can be defined to allow a general study of distance, angle, and curvature.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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(1) Gap metric can be regarded as the distance characterization of data in Riemann space, which is an extension to the traditional method based on infinite norm metrics.
Fault Diagnosis Method Based on Gap Metric Data Preprocessing and Principal Component Analysis
He takes an openly didactic approach, and does not hesitate to make those new to the theory as comfortable as possible, covering the mathematical preliminaries first by describing tensors in amorphous spaces and tensors in Riemann spaces, then introduces general relativity in terms of basic theories, Schwarzchild's metric, classical texts and complements of tensor calculus and general relativity.
Introduction to general relativity and the cosmological constant problem

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