Results 51 to 60 of about 524,352 (318)

Fermat test with Gaussian base and Gaussian pseudoprimes [PDF]

open access: yesCzechoslovak Mathematical Journal, 2015
The structure of the group $(\mathbb{Z}/n\mathbb{Z})^\star$ and Fermat's little theorem are the basis for some of best-known primality testing algorithms. Many related concepts arise: Euler's totient function and Carmichael's lambda function, Fermat pseudoprimes, Carmichael and cyclic numbers, Lehmer's totient problem, Giuga's conjecture, etc.
Grau, José María   +3 more
openaire   +5 more sources

Diffusion Tractography Biomarker for Epilepsy Severity in Children With Drug‐Resistant Epilepsy

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To develop a novel deep‐learning model of clinical DWI tractography that can accurately predict the general assessment of epilepsy severity (GASE) in pediatric drug‐resistant epilepsy (DRE) and test if it can screen diverse neurocognitive impairments identified through neuropsychological assessments.
Jeong‐Won Jeong   +7 more
wiley   +1 more source

Gaussian kernels have only Gaussian maximizers*

open access: yesInventiones Mathematicae, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The MMP‐9/TIMP‐1 Ratio and Concentrations of Osteopontin Are Elevated in Cerebrospinal Fluid of People With Multiple Sclerosis and Decrease After Autologous Hematopoietic Stem Cell Transplantation

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives To evaluate the utility of cerebrospinal fluid (CSF) biomarkers—matrix metalloproteinase‐9 (MMP‐9), tissue inhibitor of metalloproteinases‐1 (TIMP‐1), the MMP‐9/TIMP‐1 ratio, and osteopontin (OPN)—as indicators of blood–brain barrier (BBB) integrity and disease activity in people with relapsing–remitting multiple sclerosis (pwMS ...
Ivan Pavlovic   +6 more
wiley   +1 more source

Predicting Epileptogenic Tubers in Patients With Tuberous Sclerosis Complex Using a Fusion Model Integrating Lesion Network Mapping and Machine Learning

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu   +11 more
wiley   +1 more source

Superior Resilience of Non-Gaussian Entanglement against Local Gaussian Noises

open access: yesEntropy, 2022
Entanglement distribution task encounters a problem of how the initial entangled state should be prepared in order to remain entangled the longest possible time when subjected to local noises. In the realm of continuous-variable states and local Gaussian
Sergey Filippov, Alena Termanova
doaj   +1 more source

Gaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer

open access: yes, 2004
The paper aims at presenting a didactic and self-contained overview of Gauss-Hermite and Gauss-Laguerre laser beam modes. The usual textbook approach for deriving these modes is to solve the Helmoltz electromagnetic wave equation within the paraxial approximation.
Pampaloni, Francesco, Enderlein, Joerg
openaire   +2 more sources

Bayesian Estimation Improves Prediction of Outcomes After Epilepsy Surgery

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT We estimated the statistical power of studies predicting seizure freedom after epilepsy surgery. We extracted data from a Cochrane meta‐analysis. The median power across all studies was 14%. Studies with a median sample size or less (n ≤ 56) and a statistically significant result exaggerated the true effect size by a factor of 5.4, while the ...
Adam S. Dickey   +4 more
wiley   +1 more source

Symplectic dilations, Gaussian states and Gaussian channels [PDF]

open access: yesIndian Journal of Pure and Applied Mathematics, 2015
By elementary matrix algebra we show that every real $2n \times 2n$ matrix admits a dilation to an element of the real symplectic group $Sp (2(n+m))$ for some nonnegative integer $m.$ Our methods do not yield the minimum value of $m,$ for which such a dilation is possible. After listing some of the main properties of Gaussian states in $L^2 (\mathbb{R}^
openaire   +3 more sources

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