Results 51 to 60 of about 46,576 (215)

Harmonic numbers, harmonic series and zeta function

Moroccan Journal of Pure and Applied Analysis, 2018
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
doaj   +1 more source

A mixed joint universality theorem for zeta‐functions

Mathematical Modelling and Analysis, 2010
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys, Renata Macaitienė, Santa Račkauskienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source

Bio‐Inspired Artificial Ionic Mechanoreceptor

Advanced Functional Materials, EarlyView.
A skin‐inspired artificial mechanoreceptor based on ionic interactions is presented for biomimetic tactile sensing. Pressure‐driven ionic redistribution within microfluidic channels generates a self‐powered electrical signal without external bias. The generated waveform exhibits mechanoreceptor‐like temporal features, including overshoot and undershoot,
Mohammad Akbari, Jeppe Don, Lasse A. N. Pedersen, John Noee, Rassoul Tabassian   +4 more
wiley   +1 more source

Myogenic Fusogen‐Engineered Lipid Nanoparticles Enhance mRNA Delivery in Skeletal Muscle

Advanced Functional Materials, EarlyView.
This study reports a biomimetic strategy of engineering full‐length Myomaker, a muscle‐specific fusogen, into lipid nanoparticles (LNPs) to harness the native myoblast fusion capability for skeletal muscle mRNA delivery. The resulting Mymk‐LNPs enhance transfection in differentiating myocytes and enable Cre‐mediated reporter activation in injured ...
Fangyu Zhang, Zhisheng Xu, Yaou Duan, Yehui Sun, Shiying Wu, Tao Long, Mateusz Durbacz, Li Zhang, Yufen Xiao, Yu‐Chung Pien, Erick D. Guerrero, Zeru Tian, Xu Wang, Pratima Basak, Sumanta Chatterjee, Ning Liu, Xiaochun Li, Eric N. Olson, Daniel J. Siegwart   +18 more
wiley   +1 more source

On Universality of Some Beurling Zeta-Functions

Axioms
Let P be the set of generalized prime numbers, and ζP(s), s=σ+it, denote the Beurling zeta-function associated with P. In the paper, we consider the approximation of analytic functions by using shifts ζP(s+iτ), τ∈R. We assume the classical axioms for the
Andrius Geštautas, Antanas Laurinčikas
doaj   +1 more source

A Holistic Platform Approach for Developing Robust Pulmonary mRNA Delivery: Integrating Novel Phenolic Acid‐Derived Ionizable Lipids and Device Engineering

Advanced Functional Materials, EarlyView.
An integrated pulmonary mRNA delivery platform combining novel biodegradable syringic acid‐derived ionizable lipids, design‐of‐experiments formulation optimization, and vibrating‐mesh nebulizer engineering enabled stable aerosolization and efficient lung delivery.
Neha Kaushal, Younan Ma, Asad Khanmohammed, Dipen Parande, Hanming Zhang, Saket Dolare, Juliet Chen, Apiwat Wangweerawong, Saswata Karmakar, Hongfeng Deng, Frank Koppenhagen, Shraddha Sharma, Eric Reyes, Sherry He, Lianne Boeglin, Caroline Woo, Azadeh Paksa, Ayed Allawzi, Anusha Dias, Gregory Troiano, Shrirang Karve, Frank DeRosa   +21 more
wiley   +1 more source

Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions

Mathematical Modelling and Analysis, 2012
In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and ...
Kęstutis Janulis, Antanas Laurinčikas, Renata Macaitienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source

Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes. [PDF]

J Math Chem, 2023
Balasubramanian K.
europepmc   +1 more source

An Epigenetic Fate Converter Based on Nuclei‐Targeting Lipid Nanoparticles Drives Neuronal Programming of Stem Cells for Spinal Cord Repair

Advanced Functional Materials, EarlyView.
Schematic illustration of LNP‐MPG nuclei‐targeting delivery of HMW‐FGF2 promoting histone acetylation to regulate the fate of DPSCs and treat spinal cord injury. LNPs components include pHMW‐FGF2 plasmid, DSPC, Dlin‐MC3‐DMA, cholesterol, and PEG2000, and are modified with MPG to form HMW‐FGF2@LNP‐MPG (HLM). HLM nuclei‐targets DPSCs to deliver HMW‐FGF2,
Heng Zhou, Qiang Qin, Xiqin Li, Hanyu Ding, Chun Xu, Yan He, Qingsong Ye   +6 more
wiley   +1 more source

Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings

Fractal and Fractional, 2018
The theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a p-adic fractal ...
Michel L. Lapidus, Hùng Lũ’, Machiel van Frankenhuijsen   +2 more
doaj   +1 more source