Results 121 to 130 of about 92,134 (161)
Some of the next articles are maybe not open access.
2009
Abstract We saw in Chapter 4 how useful the completeness property of R is. From a theoretical viewpoint, completeness lets us solve equations such as x = 2 in R which have no solution in Q. Here is a practical version of the same phenomenon; we shall refer back to it a couple of times in this chapter.
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Abstract We saw in Chapter 4 how useful the completeness property of R is. From a theoretical viewpoint, completeness lets us solve equations such as x = 2 in R which have no solution in Q. Here is a practical version of the same phenomenon; we shall refer back to it a couple of times in this chapter.
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Complete probabilistic metric spaces
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971Menger [4] initiated the study of probabilistic metric spaces in 1942. A probabilistic metric space (briefly a PM space) is a space in which the "distance" between any two points is a probability distribution function. These spaces are assumed to satisfy axioms which are quite similar to the axioms satisfied in an ordinary metric space.
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Completion of gradual metric spaces
Journal of Intelligent & Fuzzy Systems, 2014In this paper, a completion theorem for gradual metric space and a completion theorem for gradual normed linear space are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence of sequences via the gradual metrics and the gradual norms, respectively.
Wang, Bing, Pang, Bin, Ding, Guiyan
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Completion of Multiplicative Metric Spaces
2016In this study, a completion theorem for multiplicative metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by multiplicative convergence via the multiplicative absolute value of an ordered field generated by the exponential function on R.
ÇEVİK, Cüneyt, ÖZEKEN, Çetin Cemal
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Towards complete and error-free genome assemblies of all vertebrate species
Nature, 2021Arang Rhie +2 more
exaly
The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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