Results 41 to 50 of about 11,942 (260)

Class numbers of algebraic number fields of Eisenstein type, II [PDF]

open access: yes, 1974
Let K be an algebraic number field, of degree n, with a completely ramifying prime p, and let t be a common divisor of n and (p − 1)2. Then it is proved that if K does not contain the unique subfield, of degree t, of the p-th cyclotomic number field ...
Ishida, Makoto
core   +1 more source

Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization

open access: yesAdvanced Science, EarlyView.
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley   +1 more source

Exotic integral witt equivalence of algebraic number fields [PDF]

open access: yes, 2002
Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(OK) ~ W(OL) between the Witt rings of the number rings OK and OL of K and L, respectively. This dissertation studies exotic integral
Kang, Changheon
core   +2 more sources

Intrinsic Dual‐Phase Regulated GeSe2 Nanoparticles Triggered by Ball‐Milling Treatment for Photonic Multi‐Valued Logic Circuits

open access: yesAdvanced Science, EarlyView.
We report the solid‐state ball milling, a traditional, reliable, mass‐productive material processing, to prepare the air‐stable and dual‐phase GeSe2‐x nanoparticles with extended photodetection feasibility toward optical‐wavelength regions. We further display photonic multi‐valued logic (MVL) circuit through the employment of a hybrid PMMA/GeSe2‐x ...
An‐Ting Tsai   +8 more
wiley   +1 more source

Algebraic Number Fields and Codes [PDF]

open access: yes, 2006
We explore error-correcting codes based on algebraic number fields using a particular code construction given by Guruswami in ``Constructions of Codes from Number Fields".
Swanson, Colleen
core  

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

open access: yesAdvanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach

open access: yesAdvanced Electronic Materials, EarlyView.
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza   +3 more
wiley   +1 more source

Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields [PDF]

open access: yes, 2019
The first construction of strongly secure quantum ramp secret sharing by Zhang and Matsumoto had an undesirable feature that the dimension of quantum shares must be larger than the number of shares.
Matsumoto, Ryutaroh
core   +1 more source

SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range

open access: yesAdvanced Electronic Materials, EarlyView.
A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel   +6 more
wiley   +1 more source

Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

open access: yes, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core   +1 more source

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