Confluent Vandermonde matrices and divided differences over quaternions
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
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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
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Electrophysiological function in eyes with reticular pseudodrusen according to fundus distribution. [PDF]
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
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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]
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
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Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions [PDF]
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 ...
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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
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
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Applied Anatomy of Perimembranous Ventricular Septal Defect for Transcatheter Device Closure. [PDF]
Nguyen TVN, Ho SY, Do TN.
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Transcatheter aortic valve implantation outcomes by patient age and sex in COMPARE-TAVI 1: a cohort study. [PDF]
Thim T +11 more
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Expanding the Clinicoradiologic Phenotype of the <i>CTSA</i>-Associated Small Vessel Disease CARASAL: A Comparison With CADASIL. [PDF]
Cerfontaine MN +13 more
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