Results 71 to 80 of about 640,777 (319)

Lerch-harmonic numbers related to Lerch transcendent

Mathematical and Computer Modelling of Dynamical Systems, 2023
Harmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee   +3 more
doaj   +1 more source

Card games are effective tools to enhance foundation year health and safety inductions

FEBS Open Bio, EarlyView.
A series of three card games was developed to actively deliver health and safety education to foundation year students. Most students reported positive responses regarding their enjoyment (89.9 %) and learning (74.7 %) from all games evaluated. Data revealed significant improvements in health and safety knowledge (P < 0.0001).
Rumana Rafiq, Holly Matthews, Daniya Abedalreza, Faten Yahya, Matthew Allan Jones   +4 more
wiley   +1 more source

Evaluating Infinite Series Involving Harmonic Numbers by Integration

Mathematics
Eight infinite series involving harmonic-like numbers are coherently and systematically reviewed. They are evaluated in closed form exclusively by integration together with calculus and complex analysis. In particular, a mysterious series W is introduced
Chunli Li, Wenchang Chu
doaj   +1 more source

Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers [PDF]

Abstract and Applied Analysis, 2014
A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics, and theoretical physics.
openaire   +4 more sources

Renormalized coordinate approach to the thermalization process

, 2009
We consider a particle in the harmonic approximation coupled linearly to an environment. modeled by an infinite set of harmonic oscillators. The system (particle--environment) is considered in a cavity at thermal equilibrium.
A. E. Santana, A. P. C. Malbouisson, G. Flores-Hidalgo, G. Flores-Hidalgo, J. M. C. Malbouisson, V. Rivasseau, Y. W. Milla   +6 more
core   +1 more source

Expert consensus on research paradigms and technological layout for clinical priority diseases in traditional Chinese medicine: Rheumatoid arthritis

Advanced Chinese Medicine, EarlyView.
Abstract Rheumatoid arthritis (RA) is a chronic, highly disabling autoimmune disease. Although modern medical treatments have made progress, challenges such as suboptimal efficacy, relapse, difficulties in comorbidity management, and side effects persist.
Dier Jin, Jinping Wang, Zihan Wang, Mei Mo, Xiaojing Liu, Nan Zhang, Xiaoxiao Zhang, Qingwen Tao, Yuan Xu   +8 more
wiley   +1 more source

Durable B‐Cell Impairment While Sparing IgA B Cells After Ocrelizumab Therapy in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Ocrelizumab (OCR), a humanized anti‐CD20 monoclonal antibody, is highly efficient in relapsing–remitting multiple sclerosis (RR‐MS). We assessed early cellular B‐cell profiles in patients prior to OCR treatment, on OCR treatment, and after 15 months of therapy discontinuation.
Alexandra Garcia, Stephane Rodriguez, Emilie Dugast, Christine Lebrun‐Frenay, Eric Thouvenot, Jérôme de Sèze, Emmanuelle Le Page, Sandra Vukusic, Inès Doghri, Eric Berger, Olivier Casez, Pierre Labauge, Aurélie Ruet, Catarina Raposo, Fabienne Le Frère, Arnaud B. Nicot, Sandrine Wiertlewski, Pierre‐Antoine Gourraud, Laure Michel, Laureline Berthelot, David‐Axel Laplaud   +20 more
wiley   +1 more source

Combinatorial Identities with Multiple Harmonic-like Numbers

AppliedMath
Multiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters.
Kunle Adegoke, Robert Frontczak
doaj   +1 more source

Optimal Harmonic Period Assignment With Constrained Number of Distinct Period Values

IEEE Access, 2020
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
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