Results 71 to 80 of about 484,117 (322)

The Γ-function in the arithmetic of function fields

open access: yesDuke Mathematical Journal, 1988
Let \({\mathbb{F}}_ q\) denote the finite field of q elements, \(A={\mathbb{F}}_ q[T]\), \(k={\mathbb{F}}_ q(T)\) and denote by \(k_ w\) the completion of k with respect to a valuation w of k. (Thus w is associated with a monic prime of A or, when \(w=\infty\), with 1/T.) The Carlitz zeta function of A is defined by \(\zeta_ A(s)=\sum f^{-s}, \) where ...
openaire   +2 more sources

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

open access: yesAdvanced 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   +9 more
wiley   +1 more source

Self testing and repairing computer - A concept [PDF]

open access: yes, 1970
STAR computer has five redundant modular function units, fixed store, arithmetic, memory, input, and output. Each unit is connected to a diagnostic control unit, each is coded for error detection and error correction.
Avizienis, A. A.
core   +1 more source

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

open access: yesAdvanced 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   +12 more
wiley   +1 more source

Preparation of Model Surfaces to Mimic Porous Cellulose Structures

open access: yesAdvanced Materials Interfaces, EarlyView.
This study presents 2D ultrathin nanocellulose model surfaces that mimic porous cellulose materials. The surfaces are prepared via a sacrificial templating approach, by spin coating nanocellulose and polystyrene nanoparticles suspension on a substrate, followed by nanoparticle removal.
Tiinamari Seppänen   +4 more
wiley   +1 more source

Positive degree and arithmetic bigness

open access: yes, 2008
We establish, for a generically big Hermitian line bundle, the convergence of truncated Harder-Narasimhan polygons and the uniform continuity of the limit.
Chen, Huayi
core   +1 more source

On Arithmetic Series involving the fractional part function

open access: yes, 2020
We present new relationships between the work of H. Davenport and A. I. Popov. A new general formula involving the Von Mangoldt function is presented, as well as a criteria for the Riemann ...
Patkowski, Alexander E.
core  

Centrifugation Theory Revisited: Understanding and Modeling the Centrifugation of 2D Nanosheets

open access: yesAdvanced Materials Interfaces, EarlyView.
Colloidal dispersions of nanomaterials are often size‐selected by centrifugation, for anisotropic particle shapes in trial and error. This paper describes the derivation of an equation of motion for 2D objects. The model is validated using different nanosheets produced from liquid phase exfoliation and can be used to predict the average nanosheet sizes
Stuart Goldie   +9 more
wiley   +1 more source

On some differences between number fields and function fields

open access: yes, 2016
The analogy between the arithmetic of varieties over number fields and the arithmetic of varieties over function fields is a leading theme in arithmetic geometry. This analogy is very powerful but there are some gaps.
Gasbarri, Carlo
core  

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