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On the Complexity of the Dual Bases of the Gaussian Normal Bases

Algebra Colloquium, 2015
In this paper, we study the complexity of the dual bases of the Gaussian normal bases of type (n, t), for all n and t = 3, 4, 5, 6, of 𝔽qn over 𝔽q and provide conditions under which the complexity of the Gaussian normal basis of type (n, t) is equal to the complexity of the dual basis over any finite field.
Mishra, Alok   +2 more
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An alernative test for normality based on normalized spacings

Journal of Statistical Computation and Simulation, 1995
The Shapiro-Wilk statistic and its modifications are widely used for assessing the assumption that a sample was drawn from a normal distribution. Many of the modifications simplified the calculation of the test statistic but resulted in a loss of power.
Ling. Chen, Samuel S. Shapiro
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Bootstrap-Based Normal Reconstruction

2012
We propose a bootstrap-based method for normal estimation on an unorganised point set. Experimental results show that the accuracy of the method is comparable with the accuracy of the widely used Principal Component Analysis. The main advantage of our approach is that the variance of the normals over the bootstrap samples can be used as a confidence ...
Ahmad Lutfi Amri Ramli   +1 more
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Cohort-Based Score Normalization

2014
Automatic biometric authentication has long been an active research filed driven by its wide range of pratical applications. An authentication framework typically involves two stages: the enrollment stage (bulding a template model for each user) and the test stage (validating the authenticity of a query sample to its claimed identity).
TISTARELLI, Massimo, Sun Y.
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Normalization Properties of Schauder Bases

Proceedings of the London Mathematical Society, 1971
00 that x = 2 n this basis is normalized so that \\yn\\ = 1. In topological terms this means that (yn) is bounded and 'bounded away from zero' in the sense that there exists a neighbourhood V of 0 such that yn $ V for all n. These two properties are extremely useful in the theory of bases in Banach spaces. The purpose of this paper is to consider these
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NORMAL BASES FOR FUNCTION FIELDS

Bulletin of the Australian Mathematical Society
AbstractIn function fields in positive characteristic, we provide a concrete example of completely normal elements for a finite Galois extension. More precisely, for a nonabelian extension, we construct completely normal elements for Drinfeld modular function fields using Siegel functions in function fields.
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The normal acid–base status of mice

Respiratory Physiology & Neurobiology, 2012
Rodent models are commonly used for various physiological studies including acid-base regulation. Despite the widespread use of especially genetic modified mice, little attention have been made to characterise the normal acid-base status in these animals in order to reveal proper control values.
Iversen, Nina Kerting   +3 more
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Primitive Normal Bases

2020
The topic of this chapter is the celebrated primitive normal basis theorem: for every extension E/F of Galois fields, there exists a primitive element of E which is normal over F. We will provide a complete proof for this fundamental result, which does not rely on the use of computers at all; all necessary calculations can easily be checked using a ...
Dirk Hachenberger, Dieter Jungnickel
openaire   +1 more source

Normal base compactifications

2018
Mathematics Technical ...
Alo, Richard A., Shapiro, Harvey L.
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Optimal Normal Bases

1993
With the development of coding theory and the appearance of several cryptosystems using finite fields, the implementation of finite field arithmetic, in either hardware or software, is required. Work in this area has resulted in several hardware and software designs or implementations [7, 8, 22, 23, 24, 27], including single-chip exponentiators for the
Ian F. Blake   +4 more
openaire   +1 more source

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