Results 81 to 90 of about 1,179 (268)

Factor rings of the Gaussian integers

Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 2004
Whereas the homomorphic images of Z (the ring of integers) are well known, namely Z, {0} and Zn (the ring of integers modulo n), the same is not true for the homomorphic im-ages of Z[i] (the ring of Gaussian integers). More generally, let m be any nonzero square free integer (positive or negative), and consider the integral domain Z[ √m]={a + b √m | a,
Cody Patterson, Kirby C. Smith, Leon Van Wyk   +2 more
openaire   +2 more sources

DNA Replication Errors Drive Genome‐Wide Small Inverted Triplication Dynamics

Advanced Science, EarlyView.
This study provides insight into the dynamic equilibrium mechanism of a novel structural variant, small inverted triplication (SIT), which is generated by misalignment of the 3’ flap generated under DNA replication stress with palindromic sequence. Alternatively, the end sequence may fold back on itself to form an inverted fragment.
Yi Lei, Yu Zhou, Haitao Sun, Hang Yuan, Xinyu Pei, Jessica D. Hess, Yao Yan, Zunsong Hu, Mian Zhou, Zhaohui Gu, Li Zheng, Xiwei Wu, Binghui Shen   +12 more
wiley   +1 more source

Transient Terahertz Oscillations During Photoinduced Polarization Topology Reconfiguration in Ferroelectric Superlattices

Advanced Science, EarlyView.
Terahertz resonances in crystalline heterostructures could close a spectral gap between conventional electronics and photonics while opening new windows on non‐equilibrium lattice dynamics. Femtosecond optical screening of the depolarization field in epitaxial PbTiO3/SrTiO3 superlattices launches a collective polar mode that oscillates near 1 THz and ...
Deepankar Sri Gyan, Hyeon Jun Lee, Xiangwei Guo, Youngjun Ahn, Samuel D. Marks, Mohammed H. Yusuf, Matthew Dawber, James M. Glownia, Diling Zhu, Takahiro Sato, Sanghoon Song, Haidan Wen, Jia‐Mian Hu, Paul G. Evans   +13 more
wiley   +1 more source

Commutativity of one sided s-unital rings through a Streb's result

International Journal of Mathematics and Mathematical Sciences, 1997
The main theorem proved in the present paper states as follows “Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n ...
Murtaza A. Quadri, V. W. Jacob, M. Ashraf   +2 more
doaj   +1 more source

Rings of integers of type $K(\pi,1)$

Documenta Mathematica, 2007
We investigate the Galois group G_S(p) of the maximal p -extension unramified outside a finite set S
openaire   +3 more sources

Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials

Advanced Science, EarlyView.
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan, Hengheng Zhao, Haotian Wang, Zhanjie Liu, Qian Li, Weifeng Zhang, Qingsong Zhao, Liqun Zhang, Jun Liu   +8 more
wiley   +1 more source

ML Workflows for Screening Degradation‐Relevant Properties of Forever Chemicals

Advanced Science, EarlyView.
The environmental persistence of per‐ and polyfluoroalkyl substances (PFAS) necessitates efficient remediation strategies. This study presents physics‐informed machine learning workflows that accurately predict critical degradation properties, including bond dissociation energies and polarizability.
Pranoy Ray, Andrew R. Castillo, Manoj Kolel‐Veetil, Surya R. Kalidindi   +3 more
wiley   +1 more source

High‐Order Nonlinear Photonic Crystal with Ordered Structures for Giant Enhancement of Frequency Tripling

Advanced Science, EarlyView.
A meta‐YAG crystal with artificially order/disorder structures was fabricated to realize the efficient third‐harmonic generation at 343 nm with a conversion efficiency of 4.5×10−3, surpassing six orders of magnitude compared to bulk YAG crystal. Moreover, a wide spectral tunability from 331 to 356 nm was also achieved in the meta‐YAG, indicating its ...
Xiaotian Guo, Qiaoling Han, Fei Liang, Bin Zhang, Dazhi Lu, Haohai Yu, Huaijin Zhang   +6 more
wiley   +1 more source

PAIR: Reconstructing Single‐Cell Open‐Chromatin Landscapes for Transcription Factor Regulome Mapping

Advanced Science, EarlyView.
scATAC‐seq analysis is often constrained by limited sequencing depth, extreme sparsity, and pervasive technical missingness. PAIR is a probabilistic framework that restores scATAC‐seq accessibility profiles by directly modeling the native cell–peak bipartite structure of chromatin accessibility.
Yanchi Su, Qi Qi, Yi Fan, Yubo Wang, Gaoyang Hao, Ka‐Chun Wong, Yunhe Wang, Xiangtao Li   +7 more
wiley   +1 more source

Ring of Weight Enumerator of Integer

Indonesian Journal of Mathematics and Applications
 Invariant theory can be combined with coding theory to analyze the polynomial ring over its weight enumerator. For a certain class code, especially for self-dual doubly even code or type II code, the polynomials over its code satisfy the invarian condition.
Syarifatul Azaliyah, Nur Hamid, Abdul Rouf Alghofari, Syaiful Anam   +3 more
openaire   +1 more source