Results 101 to 110 of about 4,469,777 (359)
Decomposition for a composition operator
Let $\varphi$ be an elliptic automorphism of the open unit disc of order~$k$ and rotation parameter $w$, and let $C_{\varphi}$ be the composition operator on the Hardy space $H^2$ induced by $\varphi$. Then there are orthogonal projections $P_{s}$, $s=0, 1,\ldots, k-1$ with identical norm such that $C_{\varphi}=\sum_{s=0}^{k-1} w^s P_{s}$.
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Compositional Operators in Distributional Semantics [PDF]
This survey presents in some detail the main advances that have been recently taking place in Computational Linguistics towards the unification of the two prominent semantic paradigms: the compositional formal semantics view and the distributional models of meaning based on vector spaces. After an introduction to these two approaches, I review the most
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We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau+11 more
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Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
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Inhibitor of DNA binding‐1 is a key regulator of cancer cell vasculogenic mimicry
Elevated expression of transcriptional regulator inhibitor of DNA binding 1 (ID1) promoted cancer cell‐mediated vasculogenic mimicry (VM) through regulation of pro‐angiogenic and pro‐cancerous genes (e.g. VE‐cadherin (CDH5), TIE2, MMP9, DKK1). Higher ID1 expression also increased metastases to the lung and the liver.
Emma J. Thompson+11 more
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A Linear Composition Operator on the Bloch Space
Let n∈N0, ψ be an analytic self-map on D and u be an analytic function on D. The single operator Du,ψn acting on various spaces of analytic functions has been a subject of investigation for many years.
Xiangling Zhu, Qinghua Hu
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Some results on composition operators on ℓ2
A necessary and sufficient condition for a bounded operator to be a composition operator is investigated in this paper. Normal, quasi-hyponormal, paranormal composition operators are characterised.
R. K. Singh, D. K. Gupta, B. S. Komal
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Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova+18 more
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Breast cancer metastasis is associated with myeloid cell dysregulation and the lung‐specific accumulation of tumor‐supportive Gr1+ cells. Gr1+ cells support metastasis, in part, through a CHI3L1‐mediated mechanism, which can be targeted and inhibited with cargo‐free, polymeric nanoparticles.
Jeffrey A. Ma+9 more
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