脸红
发表于 2025-3-21 16:41:23
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cumber
发表于 2025-3-21 22:11:26
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Concomitant
发表于 2025-3-22 01:16:49
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aggrieve
发表于 2025-3-22 06:09:09
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Patrimony
发表于 2025-3-22 09:33:55
Space-Filling Curves978-1-4612-0871-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
草率女
发表于 2025-3-22 15:35:08
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阻塞
发表于 2025-3-22 18:47:04
Jordan Curves of Positive Lebesgue Measure,We know from Netto’s theorem (Theorem 6.4) that plane curves that do not cross (or touch) themselves cannot be space-filling. We will show in this chapter that it is still possible for such curves to have a positive two-dimensional Lebesgue measure.
ostensible
发表于 2025-3-22 22:56:32
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脱水
发表于 2025-3-23 04:29:43
,Sierpiński’s Space-Filling Curve,eturning to number theory until around 1950. In his publications during the last twenty years of his life, number theory was the predominant topic. He was a most prolific mathematician, having published about 700 papers and books, about 600 of which were in topology. In 1914, he was interned by the Tsarist authorities.
Limerick
发表于 2025-3-23 08:31:40
,Lebesgue’s Space-Filling Curve,es into the most remote recesses of mathematical analysis. It is no coincidence that it appears in a fundamental role in the study of space-filling curves. We will see in Chapter 6 that this role is even more fundamental than it would appear to be from a study of the present chapter.