Results 81 to 90 of about 203,139 (278)

More power vector bounds for operator pairs in Hilbert spaces with applications

Journal of Inequalities and Applications
This paper investigates power vector inequalities for bounded linear operator pairs ( B , C ) $(B,C)$ in a Hilbert space H $\mathcal{H}$ . By leveraging vector inequalities derived by the second author for inner products and norms, we establish various ...
Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki   +2 more
doaj   +1 more source

Cell Cycle Control of Nuclear Metabolism Couples Phosphatidylinositol Signaling to Histone Methylation

Advanced Science, EarlyView.
Nuclear metabolism oscillates during cell cycle progression. Quantitative chromatome proteomics and imaging reveal phase‐specific dynamics of PIP5K1A and nuclear PIP2, linking phosphatidylinositol metabolism to histone methylation. This work identifies nuclear lipid metabolism as a previously unrecognized regulatory axis coordinating chromatin ...
Antoni Gañez‐Zapater, Savvas Kourtis, Camilla Reiter Elbæk, Lorena Espinar, Carolina Toro‐Márquez, Albert Coll‐Manzano, Alfredo Smiriglia, Laura García‐López, Laura Wiegand, Maria Guirola, Frédéric Fontaine, Andrea Morandi, André C. Müller, Sara Sdelci   +13 more
wiley   +1 more source

A Beck—Fiala-type Theorem for Euclidean Norms

European Journal of Combinatorics, 1990
Let \(\mathbb{R}^ n\) be provided with the euclidean norm \(\|\;\|\) and let \(D\subseteq\mathbb{R}^ n\) be an ellipsoid with centre \(O\) and principal semiaxes \(\lambda_ 1,\ldots,\lambda_ n\). For arbitrary \(m\) choose \(u_ 1,\ldots,u_ m\in D\). Then there exist \(\Theta_ 1,\ldots,\Theta_ m\in\{1,-1\}\) such that \[ \left\|\sum^ m_{i=1}\Theta_ iu_ ...
openaire   +2 more sources

PD‐1 Inhibits CD4+ TRM‐Mediated cDC1 Mobilization via Suppressing JAML in Human NSCLC

Advanced Science, EarlyView.
CD4+ tissue‐resident memory T cells (TRMs) in non‐small cell lung cancer recruit conventional type 1 dendritic cells via XCL1‐XCR1 signaling, orchestrating antitumor immunity. The costimulatory molecule JAML is essential for this process. PD‐1 blockade restores JAML expression and cDC1 mobilization, while JAML agonists synergize with anti‐PD‐1 therapy,
Zheyu Shao, Qinyuan Liu, Zhongwei Xin, Zhiyao Zhou, Mingjie Lin, Di Chen, Zhixing Hao, Yongyuan Chen, Wenxuan Wu, Shuyang Zhang, Xiaoke Chen, Xia Xu, Jinfan Li, Wei Lin, Yuhao Lu, Dang Wu, Pin Wu   +16 more
wiley   +1 more source

Universal extremum of hyperplanes in some optimization problems

Моделирование и анализ информационных систем, 2010
This paper is concerned with the minimum distance between a point and a polyhedrons of some cclass in the Rn vexctor space suppliexl with different symme^trical norms.
N. P. Fedotova
doaj  

Some results on geometric circulant matrices involving the Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, by the motivation of the papers in the literature, we construct a special geometric circulant matrix Leᵣ* whose entries are the Leonardo numbers. Then, we investigate some linear algebraic properties of these matrices.
Samet Arpacı, Fatih Yılmaz
doaj   +1 more source

Counting modular matrices with specified euclidean norm

Journal of Combinatorial Theory, Series A, 1988
Let N(x) be the number of matrices \(\left( \begin{matrix} a\\ c\end{matrix} \begin{matrix} b\\ d\end{matrix} \right)\in SL(2,{\mathbb{Z}})\) whose Euclidean norm \(a^ 2+b^ 2+c^ 2+d^ 2\) does not exceed x. Then \(\lim_{x\to \infty}N(x)/x=6\).
openaire   +2 more sources

Causal Prediction of TP53 Variant Pathogenicity Using a Perturbation‐Informed Protein Language Model

Advanced Science, EarlyView.
A TP53‐specific predictor, CaVepP53, is developed by fine‐tuning ESMC on experimentally validated variants, quantifying pathogenicity via Euclidean distances. It outperforms general‐purpose models and extends to five cancer genes, enabling interpretable variant classification for precision medicine.
Huiying Chen, Yang Zhao, Boqiang Hu, Wuke Wang, Minfang Song, Annabeth Xinyu Zhao, Xiangyang Li, Gefei Wang, Yanfen Wang, Weiyan Zheng, Xinpeng Zhang, Xia Lin, Yanbin Yin, Xingxu Huang, Jinfang Zheng, Tingbo Liang   +15 more
wiley   +1 more source

Revisiting the Definition of Vectors—From ‘Magnitude and Direction’ to Abstract Tuples

Foundations
Vectors are almost always introduced as objects having magnitude and direction. Following that idea, textbooks and courses introduce the concept of a vector norm and the angle between two vectors.
Reinout Heijungs
doaj   +1 more source

Boundedness of solutions of matrix nonlinear volterra difference equations

Discrete Dynamics in Nature and Society, 2002
Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators.
Michael I. Gil', Rigoberto Medina
doaj   +1 more source