Results 71 to 80 of about 106,566 (267)
Some extensions of Chu's formulas and further combinatorial identities [PDF]
We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
doaj +1 more source
As effective measures of energy savings and emission reduction, non-linear loads, such as variable-frequency drives, are widely used. However, the problem of harmonic pollution in power systems is becoming increasingly severe.
Zhihua Zhang, Zeqi Qu, Jie Yang
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Predictive Ability of Plasma p‐tau217 for β‐Amyloid Status: A Prospective Multicenter Study
ABSTRACT Objective Plasma tau phosphorylated at threonine 217 (p‐tau217) measured with fully automated platforms has shown high accuracy for Alzheimer's disease (AD) diagnosis, but real‐world multicenter data remain limited. We aimed to validate the diagnostic performance of p‐tau217 for identifying AD pathology in a real‐world multicenter cohort ...
Miquel Massons +33 more
wiley +1 more source
Note on an Identity of Ramanujan
We extend a summation identity involving the Pochhammer symbol published by Ramanujan in 1915 in the problem section of the “Journal of the Indian Mathematical Society”. Moreover, we offer some applications of our theorem.
Horst Alzer
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Sertraline Treatment Can Mimic Niemann‐Pick Type C Biomarker Profile: A Diagnostic Pitfall
ABSTRACT Background Oxysterols (cholestane‐3β,5α,6β‐triol and 7‐ketocholesterol) and N‐palmitoyl‐O‐phosphocholineserine (PPCS) are sensitive biomarkers for Niemann‐Pick disease type C (NPC) screening. However, false‐positive results occur, with a biomarker profile suggestive of NPC despite the absence of pathogenic variants in genes involved in NPC or ...
Maria Makrygianni +19 more
wiley +1 more source
Harmonic Series of Convergence Ratio “1/4" with Cubic Central Binomial Coefficients
We examine a useful hypergeometric transformation formula by means of the coefficient extraction method. A large class of “binomial/harmonic series” (of convergence ratio “1/4”) containing the cubic central binomial coefficients and harmonic numbers is ...
Chunli Li, Wenchang Chu
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Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS
ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran +13 more
wiley +1 more source
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller +14 more
wiley +1 more source
ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
Remarks on an Identity of Anastase and Díaz-Barrero
We extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
doaj +1 more source

