Search results for "LYN"
showing 10 items of 910 documents
Gradings on the algebra of upper triangular matrices and their graded identities
2004
Abstract Let K be an infinite field and let UT n ( K ) denote the algebra of n × n upper triangular matrices over K . We describe all elementary gradings on this algebra. Further we describe the generators of the ideals of graded polynomial identities of UT n ( K ) and we produce linear bases of the corresponding relatively free graded algebras. We prove that one can distinguish the elementary gradings by their graded identities. We describe bases of the graded polynomial identities in several “typical” cases. Although in these cases we consider elementary gradings by cyclic groups, the same methods serve for elementary gradings by any finite group.
Using the Hermite Regression Formula to Design a Neural Architecture with Automatic Learning of the “Hidden” Activation Functions
2000
The value of the output function gradient of a neural network, calculated in the training points, plays an essential role for its generalization capability. In this paper a feed forward neural architecture (αNet) that can learn the activation function of its hidden units during the training phase is presented. The automatic learning is obtained through the joint use of the Hermite regression formula and the CGD optimization algorithm with the Powell restart conditions. This technique leads to a smooth output function of αNet in the nearby of the training points, achieving an improvement of the generalization capability and the flexibility of the neural architecture. Experimental results, ob…
New Flexible Probability Distributions for Ranking Data
2015
Recently, several models have been proposed in literature for analyzing ranks assigned by people to some object. These models summarize the liking feeling for this object, possibly also with respect to a set of explanatory variables. Some recent works have suggested the use of the Shifted Binomial and of the Inverse Hypergeometric distribution for modelling the approval rate, while mixture models have been developed for taking into account the uncertainty of the ranking process. We propose two new probabilistic models, based on the Discrete Beta and the Shifted-Beta Binomial distributions, that ensure much flexibility and allow the joint modelling of the scale (approval rate) and the shape …
Suomalaismiesten kognitiivisen kykyprofiilin muutokset 1988-2001 : Flynnin efektiä suomalaisessa aineistossa?
2007
A Rare Case of Docetaxel-Induced Hydrocephalus Presenting with Gait Disturbances Mimicking and Coexisting with Taxane-Associated Polyneuropathy: The …
2017
Docetaxel constitutes a widely used chemotherapeutic agent as a first-line treatment for several neoplastic diseases. One of the most common side effects induced by this drug is polyneuropathy, which among other symptoms can cause gait disbalance. However, in exceptional cases gait disturbances could be related to docetaxel-induced hydrocephalus, a rare event that up to the present has been overseen throughout the medical literature and should be meticulously differentiated from polyneuropathy, since its clinical features, treatment, and prognosis differ drastically. We present the case of a woman with a progressive gait disturbance that started immediately after having been treated with do…
Viidennen asteen yhtälön ratkaisukaavan olemassaolon mahdottomuus Galois'n teorian pohjalta
2014
Äärellisten Borel-mittojen Fourier-muunnoksista euklidisissa avaruuksissa
2016
Tutkielmassa esitellään euklidisen avaruuden äärellisille Borel-mitoille Fourier-muunnokset kompleksiarvoisina kuvauksina ja tutkitaan niiden vähenemistä mentäessä ääarettömän kauas origosta. Keskeisenä kysymyksenä on, millä reunaehdoilla annetun kompkatikantajaisen ja äärellisen Borel-mitan Fourier muunnos vähenee polynomiaalisesti (eli sitä voidaan dominoida jollain euklidisen normin negatiivisella potenssilla) kaikkialla riittävän kaukana tai ainakin ”keskimääräisesti”. Mikäli tällainen Borel-mitta on absoluuttisesti jatkuva Lebesguen mitan suhteen kompaktikantajaisella ja sileällä tiheysfunktiolla, niin sen Fourier-muunnos vähenee aina polynomiaalisesti kaikkialla. Ongelmaa tarkastellaa…
Classifying G-graded algebras of exponent two
2019
Let F be a field of characteristic zero and let $$\mathcal{V}$$ be a variety of associative F-algebras graded by a finite abelian group G. If $$\mathcal{V}$$ satisfies an ordinary non-trivial identity, then the sequence $$c_n^G(\mathcal{V})$$ of G-codimensions is exponentially bounded. In [2, 3, 8], the authors captured such exponential growth by proving that the limit $$^G(\mathcal{V}) = {\rm{lim}}_{n \to \infty} \sqrt[n]{{c_n^G(\mathcal{V})}}$$ exists and it is an integer, called the G-exponent of $$\mathcal{V}$$ . The purpose of this paper is to characterize the varieties of G-graded algebras of exponent greater than 2. As a consequence, we find a characterization for the varieties with …
Anomalies on codimension growth of algebras
2015
Abstract This paper deals with the asymptotic behavior of the sequence of codimensions c n ( A ) ${c_{n}(A)}$ , n = 1 , 2 , … , ${n=1,2,\ldots,}$ of an algebra A over a field of characteristic zero. It is shown that when such sequence is polynomially bounded, then lim sup n → ∞ log n c n ( A ) ${\limsup_{n\to\infty}\log_{n}c_{n}(A)}$ and lim inf n → ∞ log n c n ( A ) ${\liminf_{n\to\infty}\log_{n}c_{n}(A)}$ can be arbitrarily distant. Also, in case the codimensions are exponentially bounded, we can construct an algebra A such that exp ( A ) = 2 ${\exp(A)=2}$ and, for any q ≥ 1 ${q\geq 1}$ , there are infinitely many integers n such that c n ( A ) > n q 2 n ${c_{n}(A)&…
Differential Identities and Varieties of Almost Polynomial Growth
2022
Let V be an L-variety of associative L-algebras, i.e., algebras where a Lie algebra L acts on them by derivations, and let c(n)(L) (V), n >= 1, be its Lcodimension sequence. If V is generated by a finite-dimensional L-algebra, then such a sequence is polynomially bounded only if V does not contain UT2, the 2 x 2 upper triangular matrix algebra with trivial L-action, and UT2 epsilon where L acts on UT2 as the 1-dimensional Lie algebra spanned by the inner derivation epsilon induced by e11. In this paper we completely classify all the L-subvarieties of var(L)(UT2) and var(L)(UT2 epsilon) by giving a complete list of finite-dimensional L-algebras generating them.