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Proof. If E ≡ +∞ onX, then there is nothing to prove. So, assume E 6≡ +∞. Denote α = infu∈X E(u) ≥ −∞ and choose a strictly decreasing sequence (αm) such that αm ↘ α as m → ∞. Let Kαm = {u ∈ X : E(u) ≤ αm}, then by assumption Kαm is compact. Moreover, it’s clear that Kαm+1 ⊂ Kαm for all m ∈ N, i.e. we have a decreasing nesting of compact sets. By Cantor’s Intersection Theorem, we know that K = ∞ ⋂
One-to-many relations play a crucial role in two major research areas of current grammatical theory: quirky identity and paucity of resources. This volume collects ten papers addressing these topics from different perspectives, focussing on new theoretical approaches to long-standing empirical problems. The ideas and analyses documented in these contributions have emerged in the context of the ...
Breast and colorectal cancers rank high in Iran as causes of mortality. Most of the current treatments are expensive and non-specific. The potential anticancer properties of common home gecko, Cyrtopodion scabrum, were investigated in this study. The effects of C. scabrum extract on proliferation, viability and migration of the colorectal cancer (SW-742), breast cancer (MCF-7) and normal (MSC) ...
Previous biochemical analyses with covalent affinity labels and thiol-blocking reagents suggested possible roles for one methionine residue and multiple cysteine residues in binding of steroid to the 250-amino acid hormone-binding domain at the C-terminal end of mammalian glucocorticoid receptors. To test the functional roles of these residues in the receptor's ability to bind hormone and activ...
OBJECTIVES Bleeding events related to endoscopic ultrasound-guided fine-needle aspiration (EUS-FNA) are rare. However, for patients treated with antithrombotic agents, the bleeding risk of EUS-FNA is uncertain. Hence, the aim of this study was to assess the bleeding event rate associated with EUS-FNA in patients receiving antithrombotic treatment. METHODS A retrospective study was conducted i...
C. Kim, A. Mehta, D. L. Feng, K. M. Shen, N. P. Armitage, K. Char, S. H. Moon, Y. Y. Xie, and J. Wu Stanford Synchrotron Radiation Laboratory, Stanford, California 94309 Institute of Physics and Applied Physics, Yonsei University, Seoul, Korea Department of Physics and Applied Physics, Stanford University, California 94305 Department of Physics, Fudan University, Shanghai 200433, People’s Repub...
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