Results 51 to 60 of about 488,333 (270)

The Riemann-zeta function on vertical arithmetic progressions [PDF]

, 2012
We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic progression $1/2 + i(an + b)$ with $a > 0$, $b$ real, exhibits a remarkable correspondance with the analogous continuous average and derive several ...
Li, Xiannan, Radziwill, Maksym
core   +2 more sources

Arithmetic properties of the Ramanujan function

, 2006
We study some arithmetic properties of the Ramanujan function $\tau(n)$, such as the largest prime divisor $P(\tau(n))$ and the number of distinct prime divisors $\omega(\tau(n))$ of $\tau(n)$ for various sequences of $n$.
Luca, Florian, Shparlinski, Igor E
core   +1 more source

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

The influence of cardiorespiratory fitness on strategic, behavioral, & electrophysiological indices of arithmetic cognition in preadolescent children

Frontiers in Human Neuroscience, 2014
The current study investigated the influence of cardiorespiratory fitness on arithmetic cognition in forty 9-10 year old children. Measures included a standardized mathematics achievement test to assess conceptual and computational knowledge, self ...
Robert D Moore, Eric S. Drollette, Mark R Scudder, Aashiv eBharij, Charles H Hillman   +4 more
doaj   +1 more source

Understanding the Role of Superhydrophobicity and Superhydrophilicity in Salt‐Spray Corrosion of Nanosecond Pulsed Laser‐Textured AA2024 Alloy

Advanced Functional Materials, EarlyView.
Nanosecond pulse laser texturing yields superhydrophobic and superhydrophilic AA2024 surfaces. Salt‐spray tests show that periodic superhydrophobic patterns suppress pitting, whereas superhydrophilic textures enhance it, linking laser‐induced morphology, wettability, and oxide chemistry to corrosion resistance.
Lis Geraldine Zschach, Robert Baumann, Eric Pohl, Angelika Wrzesińska‐Lashkova, Marcelo Sallese, Ignacio Tabares, Herman Heffner, Yana Vaynzof, Andrés Fabián Lasagni   +8 more
wiley   +1 more source

The association between visual-spatial skills and preschoolers’ arithmetic ability: the mediating role of patterning ability and the moderating role of executive function

Frontiers in Education
As a foundational element of early childhood education, preschoolers’ arithmetic ability eases the later arithmetic learning in grades. However, the mechanisms underlying young children’s arithmetic ability remain unclear.
Xiujuan Yao, Han Yuan, Qi Yang
doaj   +1 more source

A note on newly introduced arithmetic functions φ+ and σ+ [PDF]

Notes on Number Theory and Discrete Mathematics
In a recent paper [7], the authors introduced new arithmetic functions φ⁺, σ⁺ related to the classical functions φ, and σ, respectively. In this note, we study the behavior of Σ_{n≤x, ω(n)=2}(φ⁺-φ)(n), and Σ_{n≤x, ω(n)=2}(σ⁺-σ)(n), for any real number x ...
Sagar Mandal
doaj   +1 more source

Transistor‐Level Activation Functions via Two‐Gate Designs: From Analog Sigmoid and Gaussian Control to Real‐Time Hardware Demonstrations

Advanced Materials, EarlyView.
Screen gate‐based transistors are presented, enabling tunable analog sigmoid and Gaussian activations. The SA‐transistor improves MRI classification accuracy, while the GA‐transistor supports precise Gaussian kernel tuning for forecasting. Both functions are implemented in a single device, offering compact, energy‐efficient analog AI processing ...
Junhyung Cho, Youngmin Han, Won Woo Lee, Youngwoo Yoo, Kannan Udaya Mohanan, Chang‐Hyun Kim, Junhwan Choi, Young‐Joon Kim, Wonjun Shin, Hocheon Yoo   +9 more
wiley   +1 more source

Deployable 3D‐Printed Vascular Stent with Surface‐Catalysed Endogenous Nitric Oxide Generation

Advanced Materials, EarlyView.
A deployable 3D‐printed vascular stent was fabricated with surface‐catalyzed endogenous nitric oxide generation, representing a promising new direction for stent development. The stent can be remotely controlled by magnetic force in its compressed state and fully deployed at the target site using an untethered heat source, potentially eliminating the ...
Kun Zhou, Zifei Han, Kang Lin, Di Wu, Siti Nur Asyura Adzlan, Qingqing Fan, Christina Cortez‐Jugo, Rona Chandrawati, Cyrille Boyer   +8 more
wiley   +1 more source

An arithmetic term for the factorial function

Examples and Counterexamples
As proved by Marchenkov and Mazzanti, every Kalmar function can be represented by arithmetic terms. We display one of such terms to represent the factorial function, and as a consequence, we get an example of an arithmetic term which represents a ...
Mihai Prunescu, Lorenzo Sauras-Altuzarra
doaj   +1 more source