If T is closed and everywhere defined, i.e., D(T) = H1, then since the graph norm dominates the norm on H1, we find, by the corollary to Banach's theorem (see the inversion section), that the norm in H1 is equivalent to the graph norm. In particular, the operator T is then ...
aTo insert the target equivalent from the selected hit into the translation, press Ctrl+Space 要插入目标等效从选择的命中入翻译,按Ctrl+Space [translate] ac. Discuss with your team, experts and Champion and then reject randomly half of the defined c. 与您的队、专家和冠军谈论任意地然后拒绝被...
[131] proposed a low-rank matrix decomposition which can be achieved with both bilinear factorization and nuclear norm regularization models. By analyzing the conditions under which these two decompositions are equivalent, Cabral et al. [131] proposed a unified model that inherits the benefits of ...
ZOORANK: Ranking Suspicious Entities in Time-Evolving Tensors Hemank Lamba1(B), Bryan Hooi1, Kijung Shin1, Christos Faloutsos1, and Ju¨rgen Pfeffer2 1 Carnegie Mellon University, Pittsburgh, USA {hlamba,kijungs,christos}@cs.cmu.edu, bhooi@andrew.cmu.edu 2 TU Munich, Munich, Germany ...
To prove $L$ is a regular language, we just need to construct a DFA and prove the language of this DFA is equivalent to $L$. The following DFA is constructed for this purpose.\usetikzlibrary{positioning,shapes,automata} \begin{tikzpicture}[shorten >=1pt,node distance...
Note that these intensity-dependent adjustments are applied additively to the log scaled data and that this is equivalent to an intensity-dependent scaling of the original, non-log scaled data. Figure 2 GRSN corrects non-linear distortions apparent in different summary methods. M vs. A plots ...
Note that these intensity-dependent adjustments are applied additively to the log scaled data and that this is equivalent to an intensity-dependent scaling of the original, non-log scaled data. Figure 2 GRSN corrects non-linear distortions apparent in different summary methods. M vs. A plots ...
Which based on Eq. (2) is equivalent to 1Nt∑t=1NtΦ(i,j,t)=0. (4) GLR and LLR dissimilarity metrics To register all images in f∼(x,t), we can use either the previously described GLR metric [18, 19] or the proposed LLR metric. To use the GLR metric, one firstly refo...
In addition to encoding the clinical pathology (e.g. pain intensity and duration), brain properties play an integral part in the development of chronic pain after an inciting injury7,8. These observations allude to the brain playing a critical role in chronic pain. Still, it remains unknown ...
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