The recently introduced {k}-packing function problem is considered in this paper. Relationship between cases when k = 1, ≥ 2 and linear programming relaxation are with sufficient conditions for optimality. For arbitrary simple connected graph

We show a new neutral-fermionic presentation of Ikeda-Naruse's $K$-theoretic $Q$-functions, which represent Schubert class in the $K$-theory coherent sheaves on Lagrangian Grassmannian. Our provides simple description and yields straightforward proof two types Pfaffian formulas for them. present dual space $G\Gamma$, vector generated by all constructing non-degenerate bilinear form that is comp...

Lung cancer is one of the most dangerous diseases that cause a large number of deaths. Early detection and analysis can be very helpful for successful treatment. Image segmentation plays a key role in the early detection and diagnosis of lung cancer. K-means algorithm and classic PSO clustering are the most common methods for segmentation that have poor outputs. In t...

Let {Xn ,n=>1} be a strictly stationary sequence of negatively associated random variables, with common distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1, Xk+1) for fixed $K /in N$ based on kernel type estimators. We introduce asymptotic normality and properties and moments. From these we derive the optimal bandwidth...