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1602. A new characterization of Anderson’s inequality in $C_1$-classes
- Creator:
- Mecheri, Salah
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $C_1$-class, generalized $p$-symmetric operator, and Anderson Inequality
- Language:
- English
- Description:
- Let $\Cal H$ be a separable infinite dimensional complex Hilbert space, and let $\Cal L(\Cal H)$ denote the algebra of all bounded linear operators on $\Cal H$ into itself. Let $A=(A_{1},A_{2},\dots ,A_{n})$, $B=(B_{1},B_{2},\dots ,B_{n})$ be $n$-tuples of operators in $\Cal L(\Cal H)$; we define the elementary operators $\Delta_{A,B}\:\Cal L(\Cal H)\mapsto\Cal L(\Cal H)$ by $\Delta_{A,B}(X)=\sum_{i=1}^nA_iXB_i-X.$ In this paper, we characterize the class of pairs of operators $A,B\in\Cal L(\Cal H)$ satisfying Putnam-Fuglede’s property, i.e, the class of pairs of operators $A,B\in\Cal L(\Cal H)$ such that $\sum_{i=1}^nB_iTA_i=T$ implies $\sum_{i=1}^nA_i^*TB_i^*=T$ for all $T\in\Cal C_1(\Cal H)$ (trace class operators). The main result is the equivalence between this property and the fact that the ultraweak closure of the range of the elementary operator $\Delta_{A,B}$ is closed under taking adjoints. This leads us to give a new characterization of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel in $C_1$ classes.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1603. A new characterization of geometric distribution
- Creator:
- Maiti, Sudhansu S. and Biswas, Atanu
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- discrete distribution, exponential, and lack of memory
- Language:
- English
- Description:
- A characterization of geometric distribution is given, which is based on the ratio of the real and imaginary part of the characteristic function.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1604. A new characterization of symmetric group by NSE
- Creator:
- Babai, Azam and Akhlaghi, Zeinab
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- mathematics, set of the numbers of elements of the same order, prime graph, 13, and 51
- Language:
- English
- Description:
- Let G be a group and !(G) be the set of element orders of G. Let k 2 !(G) and mk(G) be the number of elements of order k in G. Let nse(G) = {mk(G) : k 2 !(G)}. Assume r is a prime number and let G be a group such that nse(G) = nse(Sr), where Sr is the symmetric group of degree r. In this paper we prove that G = Sr, if r divides the order of G and r2 does not divide it. To get the conclusion we make use of some well-known results on the prime graphs of finite simple groups and their components., Azam Babai, Zeinab Akhlaghi., and Seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1605. A new class of nonexpansive type mappings and fixed points
- Creator:
- Ćirić, Ljubomir B.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nonexpansive type mapping, asymptotically regular mapping, and fixed point
- Language:
- English
- Description:
- In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1606. A new classification algorithm: optimally generalized learning vector quantization (OGLVQ)
- Creator:
- Temel, T.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- machine learning, classification, learning vector quantization, self-organized mapping, supervised learning, and unsupervised learning
- Language:
- English
- Description:
- We present a new Generalized Learning Vector Quantization classifier called Optimally Generalized Learning Vector Quantization based on a novel weight-update rule for learning labeled samples. The algorithm attains stable prototype/weight vector dynamics in terms of estimated current and previous weights and their updates. Resulting weight update term is then related to the proximity measure used by Generalized Learning Vector Quantization classifiers. New algorithm and some major counterparts are tested and compared for synthetic and publicly available datasets. For both the datasets studied, it is seen that the new classifier outperforms its counterparts in training and testing with accuracy above 80% its counterparts and in robustness against model parameter varition.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1607. A new coccidian parasite of the boodie, Bettongia lesueur (Mammalia: Marsupialia: Potoroidae), from Australia
- Creator:
- Hulst, Frances, Kemp, Leah F, and Šlapeta, Jan
- Format:
- print, počítač, and online zdroj
- Type:
- model:article and TEXT
- Subject:
- kokcidie, výtrusovci, morfologie (biologie), vačnatci, coccidia, Apicomplexa, morphology (biology), marsupials, Eimeria, taxonomy, bettongs, new species, 2, and 59
- Language:
- English
- Description:
- Four of 28 wild boodies or burrowing bettongs, Bettongia lesueur (Quoy et Gaimard) passed oocysts of species of Eimeria Schneider, 1875. The boodies are surviving on off-shore islands and in large predator-proof sanctuaries on the mainland where they were reintroduced. The boodie is a potoroid marsupial extinct from the mainland of Australia due to predation from red foxes and feral cats. Comparison with other species of the genus Eimeria indicates that the coccidium found represents a new species. Sporulated oocyst of Eimeria burdi sp. n. are pyriform, 21.0-24.0 µm (mean 22.6 µm) by 14.0-16.0 µm (14.9 µm), with a length/width ratio 1.31-1.71 (1.52) and 1-µm-thick yellowish bilayered wall. Micropyle is present at the thinner apex end filled with hyaline body. Polar granules are absent. Sporocysts are ellipsoidal, 10.0-13.5 µm (11.8 µm) by 7.0-8.5 µm (7.4 µm), shape index is 1.42-1.89 (1.63) and a very thin, poorly defined unilayered sporocyst wall is 0.2 µm thick with a domelike almost indistinct Stieda body. Substieda body is indistinct., Frances Hulst, Leah F. Kemp, Jan Šlapeta., and Obsahuje bibliografii
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1608. A new continuous dependence result for impulsive retarded functional differential equations
- Creator:
- Federson, Márcia and Mesquita, Jaqueline Godoy
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, diferenciální rovnice, mathematics, differential equations, retarded functional differential equation, impulse local existenc, impulse local existence uniqueness, continuous dependence on parameters, 13, and 51
- Language:
- English
- Description:
- We consider a large class of impulsive retarded functional differential equations (IRFDEs) and prove a result concerning uniqueness of solutions of impulsive FDEs. Also, we present a new result on continuous dependence of solutions on parameters for this class of equations. More precisely, we consider a sequence of initial value problems for impulsive RFDEs in the above setting, with convergent right-hand sides, convergent impulse operators and uniformly convergent initial data. We assume that the limiting equation is an impulsive RFDE whose initial condition is the uniform limit of the sequence of the initial data and whose solution exists and is unique. Then, for sufficient large indexes, the elements of the sequence of impulsive retarded initial value problem admit a unique solution and such a sequence of solutions converges to the solution of the limiting Cauchy problem., Márcia Federson, Jaqueline Godoy Mesquita., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1609. A new curve fitting based rating prediction algorithm for recommender systems
- Creator:
- Ar, Yilmaz, Emrah Amrahov, Şahin, Gasilov, Nizami A., and Yigit-Sert, Sevgi
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- recommender systems, collaborative filtering, and curve fitting
- Language:
- English
- Description:
- The most algorithms for Recommender Systems (RSs) are based on a Collaborative Filtering (CF) approach, in particular on the Probabilistic Matrix Factorization (PMF) method. It is known that the PMF method is quite successful for the rating prediction. In this study, we consider the problem of rating prediction in RSs. We propose a new algorithm which is also in the CF framework; however, it is completely different from the PMF-based algorithms. There are studies in the literature that can increase the accuracy of rating prediction by using additional information. However, we seek the answer to the question that if the input data does not contain additional information, how we can increase the accuracy of rating prediction. In the proposed algorithm, we construct a curve (a low-degree polynomial) for each user using the sparse input data and by this curve, we predict the unknown ratings of items. The proposed algorithm is easy to implement. The main advantage of the algorithm is that the running time is polynomial, namely it is θ(n2), for sparse matrices. Moreover, in the experiments we get slightly more accurate results compared to the known rating prediction algorithms.
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public
1610. A New Czechoslovak Collected Papers for Economic History /
- Creator:
- Dudek, František,
- Type:
- text and recenze
- Subject:
- Ekonomie, Historická věda. Pomocné vědy historické. Archivnictví, historiografie česká, dějiny hospodářské, and česká periodika
- Language:
- English
- Description:
- Hospodářské dějiny 1-4, Praha, Ústav československých a světových dějin 1978-1979.
- Rights:
- unknown