Results 41 to 50 of about 11,829,477 (307)

Multiple Argument Euler Sum Identities

open access: yesMathematics
We develop a number of new identities for linear Euler harmonic number sums with multiple argument. Some new examples of even weight linear Euler harmonic sum identities are given.
Anthony Sofo
doaj   +1 more source

Harmonic dependence of thermal magnetic particle imaging

open access: yesScientific Reports, 2023
Advances in instrumentation and tracer materials are still required to enable sensitive, accurate, and localized in situ 3D temperature monitoring by magnetic particle imaging (MPI).
Thinh Q. Bui   +4 more
doaj   +1 more source

Telescoping method, derivative operators and harmonic number identities [PDF]

open access: yes, 2012
In terms of the telescoping method, a simple binomial sum is given. By applying the derivative operators to the equation just mentioned, we establish several general harmonic number identities including some known results.
Chuanan Wei, Dianxuan Gong, Qinglun Yan
semanticscholar   +1 more source

New harmonic number identities with applications [PDF]

open access: yes, 2009
We determine the explicit formulas for the sum of products of homogeneous multiple harmonic sums $\sum_{k=1}^n \prod_{j=1}^r H_k(\{1\}^{\lambda_j})$ when $\sum_{j=1}^r \lambda_j\leq 5$.
Tauraso, Roberto
core   +3 more sources

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

The monotonicity and convexity of a function involving psi function with applications

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we prove that the function x ↦ exp ( ψ ( x + 1 2 ) − 1 24 1 x 2 + 7 / 40 ) − x $$ x\mapsto\exp \biggl( \psi \biggl( x+\frac{1}{2} \biggr) -\frac {1}{24} \frac{1}{x^{2}+7/40} \biggr) -x $$ is decreasing from ( − 1 / 2 , ∞ ) $( -1/2,\infty )
Bang-Cheng Sun   +3 more
doaj   +1 more source

Efficacy and Safety Analysis of Roxarestat in Regulating Renal Anemia in Patients on Maintenance Hemodialysis

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley   +1 more source

Application of Genetic Algorithm to Minimize Harmonic in Multilevel Inverter

open access: yesJurnal Nasional Teknik Elektro, 2016
In inverter design, harmonic voltage is the main issue which affects the performance of the inverter. Generally, the harmonic minimization problem complexity is influenced by the number of harmonic orders to be minimized.
Firmansyah Nur Budiman1   +2 more
doaj   +3 more sources

The Sum of the Series of Reciprocals of the Quadratic Polynomials with Complex Conjugate Roots

open access: yesRatio Mathematica, 2018
This contribution is a follow-up to author’s papers [1], [2], [3], [4], [5], [6], [7], and in particular [8] dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive ...
Radovan Potucek
doaj   +1 more source

The rectified n-harmonic map flow with applications to homotopy classes

open access: yes, 2017
We introduce a rectified $n$-harmonic map flow from an n-dimensional closed Riemannian manifold to another closed Riemannian manifold. We prove existence of a global solution, which is regular except for a finite number of points, of the rectified n ...
Hong, Min-Chun
core   +1 more source

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