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Confluent Vandermonde matrices and divided differences over quaternions

open access: yesComptes Rendus. Mathématique, 2015
We introduce the notion of a confluent Vandermonde matrix over quaternions and present the formula to compute its rank. This extends a result of T.Y. Lam (A general theory of Vandermonde matrices, Expo. Math. 4 (3) (1986) 193–215). Another contribution is the representation formula for divided differences of quaternion polynomials which extends a ...
Vladimir Bolotnikov
openaire   +4 more sources

The influence of diverse bone cement distribution patterns for metastatic vertebral lesions after bilateral percutaneous kyphoplasty

open access: yesBMC Musculoskeletal Disorders, 2022
Objective To investigate the influence of diverse bone cement distribution patterns in patients with metastatic vertebral lesions after bilateral percutaneous kyphoplasty (PKP).
Wence Wu   +3 more
doaj   +1 more source

Electrophysiological function in eyes with reticular pseudodrusen according to fundus distribution. [PDF]

open access: yesPLoS ONE, 2018
Reticular pseudodrusen (RPD) could be present not only in the posterior pole but extramacular area also as a confluent morphological pattern. Thus RPD can be classified by the fundus distribution for the assessment of visual prognosis.
Mingui Kong, Jaemoon Yoon, Don-Il Ham
doaj   +1 more source

Effect of aminomix-1 solution as an in vitro scolicidal agent on the bile ducts and liver in rats: a controlled experimental animal study [PDF]

open access: yesSão Paulo Medical Journal
BACKGROUND: Many scolicidal agents are used to treat hydatid cysts. However, most of these have been discontinued because of complications. Currently, no safe, effective, and useful scolicidal agent are available for the treatment of hydatid cysts in ...
Recep Çağlar   +3 more
doaj   +2 more sources

Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions [PDF]

open access: yesCommunications in Algebra, 2016
We introduce the notion of a confluent Vandermonde matrix with quaternion entries and discuss its connection with Lagrange-Hermite interpolation over quaternions. Further results include the formula for the rank of a confluent Vandermonde matrix, the representation formula for divided differences of quaternion polynomials and their extensions to the ...
openaire   +2 more sources

Acupuncture preconditioning at “Zusanli”(ST36) and “Zhongwan”(CV12) prevents stress gastric ulcer by regulating the TLR4/MyD88/IκB signaling pathway

open access: yes针刺研究, 2021
Objective To observe the effect of electroacupuncture preconditioning at "Zusanli"(ST36,Lower Confluent point) and "Zhongwan"(CV12,Front-Mu point) combination on oxidative stress and inflammation-related indicators, Toll-like receptor 4(TLR4), myeloid ...
LI Li   +6 more
doaj  

Changes in iron content, lipid peroxidation, and ferroptosis-related gene expression in vascular endothelial cells in vitro induced by vibration

open access: yes环境与职业医学
BackgroundVascular endothelial injury is an important pathogenic step of vibration-induced hand arm vibration disease (HAVD), and long-term vibration exposure can lead to vascular endothelial cell dysfunction and cell damage.
Siheng WU   +4 more
doaj   +1 more source

Transcatheter aortic valve implantation outcomes by patient age and sex in COMPARE-TAVI 1: a cohort study. [PDF]

open access: yesBMJ Open
Thim T   +11 more
europepmc   +1 more source

Expanding the Clinicoradiologic Phenotype of the <i>CTSA</i>-Associated Small Vessel Disease CARASAL: A Comparison With CADASIL. [PDF]

open access: yesNeurol Genet
Cerfontaine MN   +13 more
europepmc   +1 more source

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