Results 31 to 40 of about 363 (235)
The limits of refinable functions [PDF]
Transactions of the American Mathematical Society, 2001 Summary: A function \(\phi\) is refinable (\(\phi \in S\)) if it is in the closed span of \(\{\phi(2x-k)\}\). This set \(S\) is not closed in \(L_{2}(\mathbb{R})\), and we characterize its closure. A necessary and sufficient condition for a function to be refinable is presented without any information on the refinement mask.
Strang, Gilbert, Zhou, Ding-Xuan
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Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
FEBS Letters, EarlyView.Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Piecewise-smooth refinable functions [PDF]
St. Petersburg Mathematical Journal, 2005 Summary: Univariate piecewise-smooth refinable functions (i.e., compactly supported solutions of the equation \(\varphi(\frac x2)=\sum^N_{k=0} c_k\varphi(x-k))\) are classified completely. Characterization of the structure of refinable splines leads to a simple convergence criterion for the subdivision schemes corresponding to such splines, and to ...
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Gauss Quadrature for Refinable Weight Functions
Applied and Computational Harmonic Analysis, 2000 A refineable function \(\phi\) is a solution of a two-scale difference equation \[ \phi(x)= \sum_{j\in\mathbb{Z}} a_j\phi(2x- j), \] where \(a_j\) are real numbers satisfying \[ \sum_{j\in\mathbb{Z}} a_{k+ 2j}= 1,\quad\text{all }k\in\mathbb{Z}. \] The authors study Gaussian quadrature rules having refineable functions as weight functions.
Gautschi, Walter +2 more
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
The Sobolev Regularity of Refinable Functions
Journal of Approximation Theory, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ron, A., Shen, Z.
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Regularity of Butterworth refinable functions [PDF]
Asian Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Aihua, Sun, Qiyu
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