Results 51 to 60 of about 37,974 (263)
Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
wiley +1 more source
Odd harmonic numbers exceed 10²⁴ [PDF]
Mathematics of Computation, 2010 A number n > 1 n>1
Graeme L. Cohen, Ronald M. Sorli
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Hypergeometric series and harmonic number identities
Advances in Applied Mathematics, 2005 10 ...
CHU, Wenchang, DEDONNO L.
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
Binomial Series Involving Harmonic-like Numbers
AxiomsBy computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions ...
Chunli Li, Wenchang Chu
doaj +1 more source
Differences of Harmonic Numbers and the abc-Conjecture
The PUMP Journal of Undergraduate Research, 2018 Our main source of inspiration was a talk by Hendrik Lenstra on harmonic numbers, which are numbers whose only prime factors are two or three. Gersonides proved 675 years ago that one can be written as a difference of harmonic numbers in only four ways: 2-1, 3-2, 4-3, and 9-8.
da Silva, Natalia +2 more
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Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source
On Symplectically Harmonic Betti Numbers
Journal of Geometry and PhysicsAbstract Brylinski introduced the symplectic analogue of harmonic forms on symplectic manifolds, thereby defining the symplectically harmonic cohomology space of a symplectic manifold. In this paper, we derive a formula for determining the sym-plectically harmonic Betti numbers of an arbitrary symplectic manifold of finite type, based on the ...
Shanborlang Bynnud, Angom Tiken Singh
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