Results 61 to 70 of about 19,876 (286)

On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis

Open Mathematics, 2021
In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras.
Bajorska-Harapińska Beata, Ludew Jakub Jan, Smoleń-Duda Barbara, Wituła Roman   +3 more
doaj   +1 more source

In vitro models of cancer‐associated fibroblast heterogeneity uncover subtype‐specific effects of CRISPR perturbations

Molecular Oncology, EarlyView.
Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra, Shamsudheen Karuthedath Vellarikkal, Lixia Li, Hong Sun, Khoa Nguyen, Amber Montano, Suchitra Natarajan, Federica Piccioni, Alex Michael Tamburino, Xin Yu, Aleksandra Katarzyna Olow   +10 more
wiley   +1 more source

Some Results On Quaternion 3-Space

Cumhuriyet Science Journal, 2018
In this paper, the set J′=H(Q₄,Jγ) of 4 by 4 matrices, withentries in a quaternion F-algebra Q, that are symmetric with respect to thecanonical involution Jγ is studied.
Atilla Akpınar, Fatma Özen Erdoğan
doaj   +1 more source

W-MPD–N-DMP-solutions of constrained quaternion matrix equations

Special Matrices, 2023
The solvability of several new constrained quaternion matrix equations is investigated, and their unique solutions are presented in terms of the weighted MPD inverse and weighted DMP inverse of suitable matrices.
Kyrchei Ivan I., Mosić Dijana, Stanimirović Predrag   +2 more
doaj   +1 more source

An Efficient LiDAR Point Cloud Map Coding Scheme Based on Segmentation and Frame-Inserting Network

Sensors, 2022
In this article, we present an efficient coding scheme for LiDAR point cloud maps. As a point cloud map consists of numerous single scans spliced together, by recording the time stamp and quaternion matrix of each scan during map building, we cast the ...
Qiang Wang, Liuyang Jiang, Xuebin Sun, Jingbo Zhao, Zhaopeng Deng, Shizhong Yang   +5 more
doaj   +1 more source

Quaternion Singular Value Decomposition based on Bidiagonalization to a Real Matrix using Quaternion Householder Transformations

, 2006
We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on bidiagonalization of A to a real bidiagonal matrix B using quaternionic Householder transformations.
Anderson, Bunse-Gerstner, Golub, Golub, Householder, Kantor, Kuipers, Le Bihan, Morrison, Nicolas Le Bihan, Stephen J. Sangwine, Ward, Zhang   +12 more
core   +3 more sources

Quaternionic Mass Matrices and CP-Symmetry [PDF]

Modern Physics Letters A, 1997
A viable formulation of gauge theory with extra generations in terms of quaternionic fields is presented. For the theory to be acceptable, the number of generations should be ≥ 4. The quark–lepton mass matrices are generalized into quaternionic matrices.
openaire   +2 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Error Analysis of Accelerometer- and Magnetometer-Based Stationary Alignment

Sensors, 2021
This paper revisits the stationary attitude initialization problem, i.e., the stationary alignment, of Attitude and Heading Reference Systems (AHRSs).
Felipe O. Silva, Lucas P. S. Paiva, Gustavo S. Carvalho   +2 more
doaj   +1 more source

Sampling expansions associated with quaternion difference equations

, 2020
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By employing the parameterized sequence as the kernel of discrete transform, we
Cheng, Dong, Kou, Kit Ian, Xia, Yonghui, Xu, Junfeng   +3 more
core