Results 51 to 60 of about 10,433 (250)

Chains of subgroups in symmetric groups

Journal of Algebra, 1989
Eine Untergruppenkette der Länge m einer endlichen Gruppe G ist eine echt abnehmende Kette von Untergruppen \(G=G_ 0>G_ 1>...>G_ m=\{1\}\). Mit l(G) ist die maximale Länge einer Untergruppenkette von G bezeichnet. Verff. beweisen folgende Vermutung von \textit{L. Babai} [Commun.
Cameron, Peter J, Solomon, Ron, Turull, Alexandre   +2 more
openaire   +2 more sources

Integrating Spatial Proteogenomics in Cancer Research

Advanced Science, EarlyView.
Xx xx. ABSTRACT Background: Spatial proteogenomics marks a paradigm shift in oncology by integrating molecular analysis with spatial information from both spatial proteomics and other data modalities (e.g., spatial transcriptomics), thereby unveiling tumor heterogeneity and dynamic changes in the microenvironment.
Yida Wang, Yang Wu, Feng Zhang, Parthiban Periasamy, Haiyue You, Denise Goh, Rachel Elizabeth Ann Fincham, Xin Ning, Danping Wu, Lu Liu, Ying Jiang, Zhiwen Qian, Joe Yeong, Yan Zhang   +13 more
wiley   +1 more source

Intersection of Conjugate Solvable Subgroups in Symmetric Groups [PDF]

Algebra and Logic, 2017
It is shown that for a solvable subgroup $G$ of an almost simple group $S$ which socle is isomorphic to $A_n$ $ (n\ge5)$ there are $x,y,z,t \in S$ such that $G \cap G^x \cap G^y \cap G^z \cap G^t =1.$
openaire   +2 more sources

Unsupervised Hierarchical Symbolic Regression for Interpretable Property Modeling in Complex Multi‐Variable Systems

Advanced Science, EarlyView.
UHSR translates complex chemical behavior into clear and explainable equations. Applied to thin‐layer chromatography, it automatically uncovers the mathematical rules linking a molecule's structure to its polarity. This approach matches the accuracy of advanced AI while providing interpretable results, earning greater trust from chemists. The method is
Siyu Lou, Chengchun Liu, Dongxiao Zhang, Yuntian Chen, Fanyang Mo   +4 more
wiley   +1 more source

Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy

Advanced Science, EarlyView.
Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu, Mengtao Sun, Lusheng Li, Jieqiong Wang, Shibiao Wan   +4 more
wiley   +1 more source

Enlarging a Free Subgroup of a Symmetric Group Freely [PDF]

Proceedings of the American Mathematical Society, 1981
Free subgroups, the elements of which have ample cycles in their cycle decompositions, are enlarged to free subgroups of an infinite symmetric group by the specific construction of one more free generator.
Haimo, Franklin, Tretkoff, Marvin
openaire   +2 more sources

Synergistic Spin‐Polarization and Single‐Atom Engineering in Magnetic Heterojunctions for Efficient Solar Water Splitting

Advanced Science, EarlyView.
High‐throughput screening led to the identification of 67 Z‐scheme heterojunctions (comprising 2D magnetic transition metal halides and non‐magnetic transition metal chalcogenides). For CrI3/MoTe2 and CrI3/WTe2, electronic structure analysis demonstrated that synergistic crystallographic point group and built‐in electric field effects generate a ...
Hongyang Ren, Zhenzhou Guo, Huirong Wu, Peilin Huang, Jie Yang, Jie Zhang, Guangqian Ding, Hongkuan Yuan, Biao Wang   +8 more
wiley   +1 more source

On the Ordering Mechanism of Cu+ in 2D van der Waals Multiferroic CuCrP2S6

Advanced Science, EarlyView.
Temperature‐dependent X‐ray single‐crystal diffuse scattering measurements of CuCrP2S6 in the (H, K, 0) plane reveal the gradual emergence and strengthening of short‐range order upon cooling from 230 to 170 K. At intermediate temperatures, diffuse features become pronounced and eventually lock into sharp incommensurate satellite reflections, indicating
Jiasen Guo, Yongqiang Cheng, Michael A. Susner, Ryan P. Siebenaller, Zachary Morgan, Feng Ye   +5 more
wiley   +1 more source

A classification of certain maximal subgroups of symmetric groups

Journal of Algebra, 2006
Problem 12.82 of The Kourovka notebook [\textit{V. D. Mazurov} and \textit{E. I. Khukhro} (eds.), The Kourovka notebook. Unsolved problems in group theory. 15th ed., Institute of Mathematics, Novosibirsk (2002; Zbl 0999.20001)] asks for all ordered pairs \((n,m)\) such that the symmetric group \(S_n\) contains a maximal subgroup isomorphic to \(S_m ...
Newton, Benjamin, Benesh, Bret
openaire   +2 more sources

Primary Tumor Resection in Patients With Unresectable Metastatic Colorectal Cancer: A Systematic Review and Meta‐Analysis

Annals of Gastroenterological Surgery, EarlyView.
This systematic review and meta‐analysis evaluated the role of primary tumor resection (PTR) in asymptomatic patients with unresectable metastatic colorectal cancer. Across 17 eligible studies including 9317 patients, PTR did not improve overall or progression‐free survival compared with chemotherapy alone.
Junpei Takashima, Hirotoshi Kobayashi, Daisuke Fujimoto, Fumihiko Miura   +3 more
wiley   +1 more source