Results 41 to 50 of about 11,829,477 (307)
Multiple Argument Euler Sum Identities
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
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]
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]
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
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
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
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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
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
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
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
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