Results 91 to 100 of about 10,640,447 (355)
Optimal Harmonic Period Assignment With Constrained Number of Distinct Period Values
Harmonic periods have been of great importance in the design of real-time applications due to their high schedulability, predictability, and ease of analysis.
Ivan Pavic, Hrvoje Dzapo
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Harmonic Numbers and Cubed Binomial Coefficients [PDF]
Euler related results on the sum of the ratio of harmonic numbers and cubed binomial coefficients are investigated in this paper. Integral and closed-form representation of sums are developed in terms of zeta and polygamma functions. The given representations are new.
openaire +3 more sources
A tri‐culture of iPSC‐derived neurons, astrocytes, and microglia treated with ferroptosis inducers as an Induced ferroptosis model was characterized by scRNA‐seq, cell survival, and cytokine release assays. This analysis revealed diverse microglial transcriptomic changes, indicating that the system captures key aspects of the complex cellular ...
Hongmei Lisa Li +6 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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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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This review provides an overview of bio‐based polymer sources, their unique functional properties and their environmental impact, and addresses their role as sustainable alternatives. It discusses end‐of‐life options, including composting and anaerobic digestion for renewable energy.
Sabina Kolbl Repinc +8 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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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
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ABSTRACT Objective Facioscapulohumeral muscular dystrophy type 1 (FSHD1) is a progressive neuromuscular disorder with no approved treatments. Identifying reliable biomarkers is critical to monitor disease severity, activity, and progression. Interleukin‐6 (IL‐6) has been proposed as a candidate biomarker, but longitudinal validation is limited ...
Jonathan Pini +13 more
wiley +1 more source
Extended calculations of a special Harmonic number
The search for values of $p$ for which the Harmonic numbers $H_{\lfloor p/6 \rfloor}$ vanish mod $p$, carried to $p < 600,000$ by Schwindt in 1983, is extended here to $p < 16,949,000,000,000$, and two new solutions are ...
Dobson, John Blythe
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