Extending linear forms on inductive limit spaces cannot, in general, be done directly by the Hahn-Banach theorem. The aim of this paper is to investigate solutions for the general extension problem, as well as the norm preserving extension problem. Then we give an application to the algebra of...
About 35 years ago Wheeler introduced the motto `law without law' to highlight the possibility that (at least a part of) Physics may be understood only following {\\em regularity principles} and few relevant facts, rather than relying on a treatment in terms of fundamental theories. Such a...
aExtending the operating elements is not allowed, by e.g. levers. 扩大经营的元素不由即允许。 杠杆。[translate] apremisson premisson[translate] a切掉一角 Cuts away a jiao[translate] aWhen the valve is connected to the pipeline flanges, the hexagonal screws and bolts used in the bore hole...
Simultaneously, the formation of metastable new hydrates will decrease the cenotectic temperature, extending the temperature range over which liquid may exist by tens of degrees or more (Fig. 2c). Additional investigation into kinetic aspects of these systems (further cooling rate sensitivities, ...
[01:22.12]of the average number of years [01:25.20]a baby born in a particular year [01:27.76]might expect to live. [01:30.12]The measurement assumes death rates [01:32.76]at the time of birth do not change. [01:3...
We extend the classical Khintchine-Kolmogorov convergence theorem, the Marcinkiewicz strong law of large numbers, and the three series theorem for independent ... QY Wu,YY Jiang - 《Statistics Probability Letters》 被引量: 99发表: 2008年 On the frequency of small fractional parts in certain real...
The following result, proved in Section 5.1, makes use of the strong laws of large numbers proved by Ziezold [24] and Evans and Jaffe [11].Proposition 1Assume that (i) \({\varvec{M}}\) is compact and (ii) \(x_0 \in {\varvec{M}}\) is the unique population Fréchet mean of...
The simple properties of limit superior and limit inferior in ordered series of numbers are provided in the current teaching materials. This paper introduces the new properties of limit superior and limit inferior in ordered series of numbers and the application of the properties through researches on...
Let denote the uniform probability measure on the set of separable permutations in Sn. Let with an appropriate metric and denote by the compact metric space consisting of functions from to which are injections when restricted to ; that is, if , i ≠ j, then . Extending permutations by ...
Multivalent interactions between SUMO and SIM motifs then led to the formation of phase-separated ALT-associated PML bodies on the telomeres (Figure 2C). Fusion between PML bodies allowed telomere elements to cluster and recruit DNA helicases as well as other machinery for extendingtelomere length[...