Results 31 to 40 of about 442,454 (245)

Grokking modular arithmetic

open access: yes, 2023
We present a simple neural network that can learn modular arithmetic tasks and exhibits a sudden jump in generalization known as ``grokking''. Concretely, we present (i) fully-connected two-layer networks that exhibit grokking on various modular ...
Gromov, Andrey
core  

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

open access: yes, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri   +3 more
core   +1 more source

Mechanochemical Synthesis and Characterization of Nanostructured ErB4 and NdB4 Rare‐Earth Tetraborides

open access: yesAdvanced Engineering Materials, Volume 27, Issue 6, March 2025.
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur   +5 more
wiley   +1 more source

Integer Modular Multiplication With Barrett Reduction and Its Variants for Homomorphic Encryption Applications: A Comprehensive Review and an Empirical Study

open access: yesIEEE Access
Modular arithmetic calculations, such as modular addition and multiplication, are fundamental building blocks to Post-Quantum Cryptography (PQC) and Homomorphic Encryption (HE) systems. While modular addition has straightforward hardware implementations,
Ardianto Satriawan   +2 more
doaj   +1 more source

Morphology, Transport, and Dynamics of Protein Adsorption in Open‐Cell Metal Foam

open access: yesAdvanced Engineering Materials, EarlyView.
Stainless steel (SS) open‐cell foams are shown to adsorb more protein per unit area than previously reported 316L SS and chromium oxide surfaces under static and flow conditions. An integrated approach combining 3D pore imaging, flow simulation, and protein adsorption experiments characterizes the foam’s performance.
Chinmaya Prerana Inguva   +2 more
wiley   +1 more source

A Novel Approach to Estimate the Transition Temperature via Dynamic Nanoindentation

open access: yesAdvanced Engineering Materials, EarlyView.
A new dynamic nanoindentation‐based method was developed that uses the stiffness ratio as an indicator of the elastic–plastic deformation contributions at different temperatures. The approach successfully identified transition temperatures in ferritic steel and distinguished them from continuously ductile austenitic steel.
Stefan Zeiler   +4 more
wiley   +1 more source

Efficient Algorithm for Multi-Bit Montgomery Inverse Using Refined Multiplicative Inverse Modular $2^K$

open access: yesIEEE Access, 2019
This paper makes two major contributions. First, we propose an algorithm to compute a multiplicative inverse modulo $2^{k}$ without using integer division by refining the Arazi–Qi algorithm.
Young-Sik Kim
doaj   +1 more source

Arithmetic Framework to Optimize Packet Forwarding among End Devices in Generic Edge Computing Environments

open access: yesSensors, 2022
Multi-access edge computing implementations are ever increasing in both the number of deployments and the areas of application. In this context, the easiness in the operations of packet forwarding between two end devices being part of a particular edge ...
Pedro Juan Roig   +4 more
doaj   +1 more source

Simple arithmetic processing: fact retrieval mechanisms and the influence of individual difference, surface form, problem type and split on processing [PDF]

open access: yes, 2007
Current theorising in the area of cognitive arithmetic suggests that simple arithmetic knowledge is stored in memory and accessed in the same way as word knowledge i.e., it is stored in a network of associations, with simple facts retrieved automatically
Jackson, Natalie Deanne
core  

Iwasawa theory for modular forms at supersingular primes [PDF]

open access: yes, 2010
Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core   +2 more sources

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