Results 21 to 30 of about 3,402 (148)
Angewandte Chemie, EarlyView.We demonstrate the facile aromatic C─C bond cleavage of cyclopentadienide mediated by transient imino(metallophosphino)silylenes, enabling the transformation of an aromatic system into a homoaromatic species. The steric bulk of the phosphino substituent, together with the weak interaction between the coinage metal and the cyclopentadienide ligand, are ...
Huaiyuan Zhu +4 more
wiley +2 more sources
Iterating the Sum of Möbius Divisor Function and Euler Totient Function
Mathematics, 2019 In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Möbius divisor functions and Euler totient function when they are iterated.
Daeyeoul Kim +2 more
doaj +1 more source
Ramanujan sums via generalized Möbius functions and applications
International Journal of Mathematics and Mathematical Sciences, 2006 A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classical Ramanujan sum with the Souriau-Hsu-Möbius function.
Vichian Laohakosol +2 more
doaj +1 more source
Choosing the Best Members of the Optimal Eighth-Order Petković’s Family by Its Fractal Behavior
Fractal and Fractional, 2022 In this paper, by applying Petković’s iterative method to the Möbius conjugate mapping of a quadratic polynomial function, we attain an optimal eighth-order rational operator with a single parameter r and research the stability of this method by using ...
Xiaofeng Wang, Wenshuo Li
doaj +1 more source
Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn
Journal of Function Spaces and Applications, 2009 Distance formulae from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn such as Qs spaces, little Bloch space ℬ0 and Besov spaces Bp are given.
Wen Xu
doaj +1 more source
How to get the weak order out of a digraph ? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
doaj +1 more source
Compact Circuits for Efficient Möbius Transform
Transactions on Cryptographic Hardware and Embedded SystemsThe Möbius transform is a linear circuit used to compute the evaluations of a Boolean function over all points on its input domain. The operation is very useful in finding the solution of a system of polynomial equations over GF(2) for obvious reasons ...
Subhadeep Banik, Francesco Regazzoni
doaj +1 more source
Yanbu Journal of Engineering and Science, 2021 In this study, the deformed Klein--Gordon equation, Dirac equation, and Schrödinger equations were solved with the improved the modified Mobius square potential model (IMSPM, in short) using Bopp's shift and standard perturbation theory methods in the ...
Abdelmadjid Maireche
doaj +1 more source
Navigating Lipid Nanostructure Design Space Through Continuous Microfluidic Automation
Advanced Materials, EarlyView.LipidXplorer is a novel microfluidic platform which enables rapid navigation of lipid particle design space for high‐resolution phase mapping, lipid nanoparticle optimization, membrane biophysics, and functional nanomaterial discovery. It combines programmable composition control, continuous nanoparticle formation, and automated well‐plate collection ...
Bradley Diggines +10 more
wiley +1 more source
Combinatorial Aspects of the Generalized Euler's Totient
International Journal of Mathematics and Mathematical Sciences, 2010 A generalized Euler's totient is defined as a Dirichlet convolution of a power function and a product of the Souriau-Hsu-Möbius function with a completely multiplicative function.
Nittiya Pabhapote, Vichian Laohakosol
doaj +1 more source