Results 91 to 100 of about 11,335,757 (341)
Abel's Lemma and Identities on Harmonic Numbers
Integers, 2014 Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they proposed the Abel-Gosper method to evaluate some indefinite sums involving harmonic numbers.
Hai-Tao Jin, Daniel K. Du
openaire +5 more sources
Many body effects in one-dimensional attractive Bose gases [PDF]
, 2013 In this thesis we investigate the properties of ultra-cold quantum gases in reduced dimension and the effects of harmonic confinement on soliton-like properties.
HOLDAWAY, DAVID,IAN,HENRY
core
Harmonic graphs with small number of cycles
, 2003 Let G be a graph on n vertices v1,v2,…,vn and let d(vi) be the degree (= number of first neighbors) of the vertex vi. If (d(v1),d(v2),…,d(vn))t is an eigenvector of the (0,1)-adjacency matrix of G, then G is said to be harmonic.
Grünewald, Stefan +3 more
core +1 more source
Aging and Cancer, EarlyView.This systematic review synthesizes prognostic models for survival and recurrence in resected non‐small cell lung cancer. While many models demonstrate moderate to good discrimination, few are externally validated and reporting quality is variable, limiting clinical applicability and highlighting the need for robust, transparent model development ...
Evangeline Samuel +4 more
wiley +1 more source
Some extensions of Chu's formulas and further combinatorial identities [PDF]
Mathematica BohemicaWe 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
IEEE Access, 2020 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
doaj +1 more source
Asymptotic inequalities for alternating harmonics [PDF]
Bulletin of Mathematical Sciences, 2019 For n ∈ ℕ the nth alternating harmonic number Hn∗ :=∑ k=1n(−1)k−1 1 k is given in the form Hn∗ =ln 2 + (−1)n+1 4⌊n+1 2 ⌋ +∑i=1q−1 (4i − 1)B 2i (2i)(2⌊n+1 2 ⌋)2i + rq(n), where q ∈ ℕ is a parameter controlling the magnitude of the error term rq ...
Vito Lampret
doaj +1 more source
Active Power Filter With Automatic Control Circuit For Neutral Current Harmonic Minimization Technique [QC446.3.H37 I98 2007 f rb]. [PDF]
, 2007 Disertasi ini bertujuan untuk membangun penuras kuasa aktif yang cekap dan boleh dipercayai bagi meminimumkan lebihan harmonik arus neutral dan juga masalah harmonik di dalam talian neutral untuk sistem tiga fasa empat dawai. The aim of this thesis
A Bakar, Mohd Izhar
core
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source
Note on an Identity of Ramanujan
MathematicsWe 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
doaj +1 more source