Results 111 to 120 of about 3,462 (293)
Dual Quaternion Matrix Equation AXB = C with Applications
Dual quaternions have wide applications in automatic differentiation, computer graphics, mechanics, and others. Due to its application in control theory, matrix equation AXB=C has been extensively studied.
Lv-Ming Xie, Yan Chen, Qing-Wen Wang
core +1 more source
CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point +7 more
wiley +1 more source
Screening and epitope characterization of Nidogen‐2‐specific nanobodies
Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen +9 more
wiley +1 more source
Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation
Nowadays a unit quaternion is widely employed to represent the three-dimensional (3D) rotation matrix and then applied to the 3D similarity coordinate transformation.
Huaien Zeng +5 more
doaj +1 more source
Matrix metalloproteinase‐9 (MMP9) drives ovarian cancer progression. Using MMP9‐null cells (M9‐KO) created from ovarian cancer cells, we found MMP9 loss did not block Epidermal Growth Factor (EGF)‐driven E‐cadherin dissolution or EMT but delayed and reduced EGF‐driven membrane protrusions. Transient MMP9 re‐expression drove membrane protrusion.
Claire Strauel +8 more
wiley +1 more source
Pure PSVD approach to Sylvester-type quaternion matrix equations
In this paper, the pure product singular value decomposition (PSVD) for four quaternion matrices is given. The system of coupled Sylvester-type quaternion matrix equations with five unknowns $X_{i}A_{i}-B_{i}X_{i+1}=C_{i}$ is considered by using the PSVD
He, Zhuo-Heng
core +1 more source
MATRIX FORMULATION OF REAL QUATERNIONS
Real quaternions have been expressed in terms of 4×4 matrices by means of Hamilton operators. These matrices are applied for rotations in Euclidean 4-space, and are determined also a Hamilton motions in E 4 . We study these matrices and show that the set of these matrices with the group operation of matrix multiplication is Lie group of 6-dimension.
openaire +3 more sources
Bisphenol A (BPA), a common chemical in plastics, exerts dual effects on bladder cancer cells: low doses promote growth and migration, while high doses suppress growth and migration. Multi‐omics and bioinformatics reveal BPA acts via MAPK and inflammatory pathways.
Shaomin Niu +10 more
wiley +1 more source
Cramer’s rules for Sylvester-type quaternion matrix equations.
Cramer’s rules for Sylvester-type quaternion matrix ...
Kyrchei, I.
core
Sampling expansions associated with quaternion difference equations
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
Xu, Junfeng +3 more
core +1 more source

