Results 51 to 60 of about 490,742 (319)

On the second moment for primes in an arithmetic progression

, 2000
Assuming the Generalized Riemann Hypothesis, we obtain a lower bound within a constant factor of the conjectured asymptotic result for the second moment for primes in an individual arithmetic progression in short intervals. Previous results were averaged
Goldston, Daniel, Yildirim, C. Y.
core   +2 more sources

Membrane Wrapping for High Capacity and Rapidly Switchable Adhesives

Advanced Functional Materials, EarlyView.
A membrane‐wrapping mechanism enables high‐capacity, rapidly switchable adhesion by coupling suction, friction, and adhesion. Broadband performance is achieved in dry and underwater conditions, allowing fast, reversible manipulation of objects of diverse sizes and shapes, from delicate eggs and berries to flat, complex, or heavy objects. These outcomes
Yeunhee Kim, Camryn A. Mills, Michael D. Bartlett   +2 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

Physical Intelligence in Small‐Scale Robots and Machines

Advanced Materials, EarlyView.
“Physical intelligence” (PI) empowers biological organisms and artificial machines, especially at the small scales, to perceive, adapt, and even reshape their complex, dynamic, and unstructured operation environments. This review summarizes recent milestones and future directions of PI in small‐scale robots and machines.
Huyue Chen, Metin Sitti
wiley   +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

Vertical Self‐Rectifying Memristive Arrays for Page‐Wise Parallel Logic and Arithmetic Processing

Advanced Materials, EarlyView.
This study proposes a page‐wise logic‐in‐memory architecture realized in a 3D vertical resistvie random‐access memory array of self‐rectifying memristors. By introducing intra‐ and inter‐page logic primitives, the system enables Boolean and arithmetic operations to be executed directly within the memory.
Kunhee Son, Jea Min Cho, Dong Hoon Shin, Yeong Rok Kim, Néstor Ghenzi, Sunwoo Cheong, Byeong Su Kim, Jung Kyu Lee, Sungho Kim, Wonho Choi, Soo Hyung Lee, Janguk Han, Cheol Seong Hwang   +12 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

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

Ultra‐Improved Interfacial Strength Between Metallic Surface and Polyurethane via Cost‐Effective Anodizing Process

Advanced Materials Interfaces, EarlyView.
SAA significantly enhanced Al/PU bonding, increasing SLSS by up to 920% and fracture energy by 15 100% through optimized micro‐nano porous surfaces. RSM identified the optimal anodizing conditions, while ML confirmed sulfuric acid concentration and roughness as dominant predictors of strength.
Umut Bakhbergen, Sherif Araby, Zhandos Tauanov, Nursultan Turdakyn, Reza Montazami, Fethi Abbassi, Gulnur Kalimuldina   +6 more
wiley   +1 more source