Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. [PDF]
Ma H, Sun Y.
europepmc +1 more source
Certain Polynomials with Weighted Sums
AbstractIn this note, we provide some examples of polynomials z n −p(z), where , and , a k ≥ 0 for eachk such that p(z) has all its zeros on |z|=c 1, and wedenote C(r) by the circle of radius r with center the ori-gin. It follows from Enestrm-Kakeya theorem [1] (see p.136 of [1] for the statement and its proof) to(1)where , a k ≥ 0 for each k that all
openaire +2 more sources
Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini +2 more
wiley +1 more source
For an arbitrary polynomial with the sum of all zeros equal to zero, , the quadratic mean radius is defined by Schoenberg conjectured that the quadratic mean radii of and satisfy where equality holds if and only if the zeros all lie on a straight ...
Ivanov KG, Sharma A, de Bruin MG
doaj
On the strong convergence for weighted sums of negatively superadditive dependent random variables. [PDF]
Meng B, Wang D, Wu Q.
europepmc +1 more source
Sum and Weighted Sum Formulas for Fibonacci and Lucas Quaternions
Fibonacci and Lucas quaternions are deeply studied in the literature after its definition by Horadam in 1963. Binet formula, generation function, Cassini, Catalan, Honsberger, and other identities for these sequences studied in different quaternion algebra types like split quaternion algebra, dual quaternion algebra, etc.
openaire +3 more sources
Overview of molecular signatures of senescence and associated resources: pros and cons
Cells can enter a stress response state termed cellular senescence that is involved in various diseases and aging. Detecting these cells is challenging due to the lack of universal biomarkers. This review presents the current state of senescence identification, from biomarkers to molecular signatures, compares tools and approaches, and highlights ...
Orestis A. Ntintas +6 more
wiley +1 more source
Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation. [PDF]
Zhong H, Wu Q.
europepmc +1 more source
Targeting TNBC: core–shell polycationic polyurea dendrimers with inherent anticancer activity
Core–shell polycationic PURE dendrimers were tested in TNBC‐derived tumor models. Both formulations selectively targeted TNBC and effectively reduced tumor volume. PUREG4‐OEI48 suppressed tumor growth without detectable toxicity, whereas PUREG4‐OCEI24, despite showing efficacy, induced hepatic toxicity.
Adriana Cruz +9 more
wiley +1 more source
Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup
By utilizing the Rosenthal-type maximal moment inequality and truncation method, we mainly investigate the complete γ-th moment convergence for weighted sums of widely orthant dependent random variables in this paper.
Qian Zhang, Yi Wu
doaj +1 more source

