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单词 flat space
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flat space
flat space n. Euclidean space.
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the world > relative properties > number > geometry > geometric space > [noun] > Euclidean
Euclidean space1883
flat space1883
1873 W. K. Clifford tr. Riemann in Nature 1 May 16/1 These manifoldnesses in which the square of the line-element may be expressed as the sum of the squares of complete differentials I will call flat.]
1883 Encycl. Brit. XV. 664/1 The space with which we are familiar..has been called flat space or homaloidal space to distinguish it from other spaces in which the curvature is not zero.
1949 J. L. Synge & A. Schild Tensor Calculus viii. 295 A space in which the curvature tensor vanishes identically is called flat.
1953 B. Spain Tensor Calculus v. 56 In a flat space the property of parallelism is independent of the choice of a curve.
extracted from flatadj.adv.n.3
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