منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولheterogeneity within the orientalist discourse: representation of the orient in womens travelogues and mens paintings
from 1950s onward, new theories and critical approaches burgeoned across humanities. these theories were context-oriented; as a result, the analysis of discursive practices gained significance. thus, social, political, historical and cultural discourses that have been hitherto marginalized and considered inferior to literary texts, were introduced as important texts to be analyzed by critics. o...
On the solving matrix equations by using the spectral representation
The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation. We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A, X in mathbb{C}^{n times n}$ and $b in mathbb{C} ^{n times s}$ with $s < n$, which $X$ is unknown matrix. Also, we suggest the new method for solving quadratic matri...
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Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory
Random matrix theory (RMT) has been successful in predicting spectral properties of QCD-like theories in the so-called microscopic scaling regime, defined by 1/ΛQCD << L << 1/mπ, with L the linear extent of the system [1,2]. Assuming spontaneous chiral symmetry breaking in the underlying theory, this is the regime dominated by the soft pions associated with the chiral symmetry breaking [3]. Up ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4729286