Results 51 to 60 of about 2,088,433 (326)

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

AIMS Mathematics
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben , Ryad Ghanam, G. Thompson, Edward L. Boone   +3 more
doaj   +1 more source

Soft shape registration under Lie group frame

IET Computer Vision, 2013
In this study, the authors address a two‐dimensional (2D) shape registration problem on data with anisotropic‐scale deformation and noise. First, the model is formulated under the iterative closest point (ICP) framework, which is one of the most popular ...
Yaxin Peng, Wei Lin, Shihui Ying, Jigen Peng   +3 more
doaj   +1 more source

A Smooth Model for the String Group

, 2012
We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model.
Aldrovandi, Baez, Bourbaki, Bourbaki, Bredon, Bunke, Bunke, Cartan, Christoph Sachse, Christoph Wockel, Deligne, Dugundji, Etter, Freed, Getzler, Glöckner, Glöckner, Glöckner, Gotay, Hamilton, Hatcher, Henriques, Henriques, Henriques, Killingback, Kuiper, Lang, Lewis, Lurie, May, Metzler, Müller, Neeb, Neeb, Neeb, Neeb, Nikolaus, Noohi, Omori, Palais, Roberts, Schommer-Pries, Segal, Segal, Spanier, Stolz, Stolz, Strøm, Thomas Nikolaus, tom Dieck, tom Dieck, Wagemann, Waldorf, Witten, Wockel, Wockel, Wockel   +56 more
core   +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

Minimal Matrix Representations of Decomposable Lie Algebras of Dimension Less Than or Equal to Five

Extracta Mathematicae, 2018
We obtain minimal dimension matrix representations for each decomposable five-dimensional Lie algebra over R and justify in each case that they are minimal.
Ryad Ghanam, Manoj Lamichhane, Gerard Thompson   +2 more
doaj  

Lie Group Method of the Diffusion Equations

Advances in Mathematical Physics, 2014
The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie
Jian-Qiang Sun, Rong-Fang Huang, Xiao-Yan Gu, Ling Yu   +3 more
doaj   +1 more source

Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

Jambura Journal of Mathematics, 2023
The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi, Putri Giza Maharani, Alit Kartiwa   +2 more
doaj   +1 more source

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

Molecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan, Irina Primac, Emre Etlioglu, Laurens Debruyne, Ann Janssen, Magy Sallam, Kevin Tabury, Roel Quintens, Wiebren Tjalma, Mohammed Abderrafi Benotmane   +9 more
wiley   +1 more source

Formality properties of finitely generated groups and Lie algebras

, 2019
We explore the graded and filtered formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups, including the Malcev Lie algebra, the associated graded Lie algebra, the ...
Suciu, Alexander I., Wang, He
core   +1 more source

Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology

Molecular Oncology, EarlyView.
Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts, Senada Koljenović, Elise Daems, Karolien De Wael, Marc Peeters, Léon C. van Kempen, Greetje Vanhoutte, Karen Zwaenepoel, Timon Vandamme   +8 more
wiley   +1 more source