The Householder's method is a root-find algorithm which is a natural extension of the
methods of Newton and Halley. The current paper mostly focuses on approximating the …

We interpret noncrossing partitions of type B and type D in terms of noncrossing partitions of
type A. As an application, we get type-preserving bijections between noncrossing and …

The super Catalan numbers T (m, n)=(2m)!(2n)!/2m! n!(m+ n)! are integers which generalize
the Catalan numbers. Since 1874, when Eugene Catalan discovered these numbers, many …

arxiv:0905.3764v1 [math.CO] 22 May 2009 Page 1 arxiv:0905.3764v1 [math.CO] 22 May
2009 Lattices of Paths: Representation Theory and Valuations Luca Ferrari∗ Emanuele …

In this paper a natural question which arise to study the graphical aspect of split (n+ t)(n+ t)-
color partitions, is answered by introducing a new class of lattice paths, called split lattice …

Improved lower and upper bounds on the size and the rate of grain-correcting codes are
presented. The lower bound is Gilbert-Varshamov-like combined with a construction by …

Recently, Z. Sun proved that\[2 (2m+ 1)\binom {2m}{m}\mid\binom {6m}{3m}\binom {3m}{m}\]
for $ m\in\mathbb {Z} _ {> 0} $. In this paper, we consider a generalization of this result by …

1 Background Conventional magnetic recording media are composed of basic magnetizable
units called grains which might be random in size and shape. Information is stored on the …