نتایج جستجو برای: triangular nano

تعداد نتایج: 70187  

2006
YIQIANG LI

Nakajima conjectured in [N] that the transition matrix between certain PBW-basis constructed in [LXZ] and the affine canonical basis is upper triangular with the diagonal entries equal to one and the upper diagonal entries in vZ[v]. In this paper, we show that the transition matrix between the PBW-basis in [LXZ] and the canonical basis is upper triangular with the diagonal entries equal to one ...

Journal: :Math. Comput. 2008
Dario Bini Yuli Eidelman Luca Gemignani Israel Gohberg

We consider the problem of completion of a matrix with a specified lower triangular part to a unitary matrix. In this paper we obtain the necessary and sufficient conditions of existence of a unitary completion without any additional constraints and give a general formula for this completion. The paper is mainly focused on matrices with the specified lower triangular part of a special form. For...

2007
Kadir Aslan Michael J.R. Previte Yongxia Zhang Chris D. Geddes

In recent years our laboratory has described the favorable effects of fluorophores in close proximity to metallic nanostructures (1-6). These include, increased system quantum yields (increased detectability) and much improved fluorophore photostabilities. These effects have led to many applications of metal-enhanced fluorescence (MEF) including, improved DNA detection (7, 8), enhanced ratiomet...

Journal: :EURASIP J. Wireless Comm. and Networking 2015
Mohammad M. Mansour

A low-complexity multiple-input multiple-output (MIMO) subspace detection algorithm is proposed. It is based on decomposing a MIMO channel into multiple subsets of decoupled streams that can be detected separately. The new scheme employs triangular decomposition followed by elementary matrix operations to transform the channel into a generalized elementary matrix whose structure matches the sub...

2010
XIAO WEI XU HONG YING ZHANG Robert Guralnick

In this paper, left derivations and Jordan left derivations in full and upper triangular matrix rings over unital associative rings are characterized.

Journal: :J. Symb. Comput. 2012
Changbo Chen Marc Moreno Maza

We discuss algorithmic advances which have extended the pioneer work of Wu on triangular decompositions. We start with an overview of the key ideas which have led to either better implementation techniques or a better understanding of the underlying theory. We then present new techniques that we regard as essential to the recent success and for future research directions in the development of t...

1995
James A. Carlson

It has been known for at least thirty years that certain nilpotent groups cannot be Kähler groups, i.e., fundamental groups of compact Kähler manifolds. The best known examples are lattices in the three-dimensional real or complex Heisenberg groups. It is also known that lattices in certain other standard nilpotent Lie groups, e.g., the full group of upper triangular matrices and the free k-ste...

Journal: :Electr. J. Comb. 2012
Sherry H. F. Yan Yuexiao Xu

Recently, Jeĺınek derived that the number of self-dual interval orders of reduced size n is twice the number of row-Fishburn matrices of size n by using generating functions. In this paper, we present a bijective proof of this relation by establishing a bijection between two variations of upper-triangular matrices of nonnegative integers. Using the bijection, we provide a combinatorial proof of...

Journal: :Periodica Mathematica Hungarica 2009
Eszter K. Horváth Zoltán Németh Gabriella Pluhár

The aim of the present paper is to carry on the research of Czédli in determining the maximum number of rectangular islands on a rectangular grid. We estimate the maximum of the number of triangular islands on a triangular grid.

2005
MARK KAMBITES BENJAMIN STEINBERG

We consider wreath product decompositions for semigroups of triangular matrices. We exhibit an explicit wreath product decomposition for the semigroup of all n× n upper triangular matrices over a given field k, in terms of aperiodic semigroups and affine groups over k. In the case that k is finite this decomposition is optimal, in the sense that the number of group terms is equal to the group c...

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