Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. In literature, different kinds operations are defined and used in theory applications. Methods: This study is based on paper "A New Operation Soft Sets: Extended Difference Sets" by Sezgin, Ahmad Mehmood [Journal Theory 27 (2019) 33-42]. Results: thi...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...

symmetric difference Milan Matoušek and Pavel Pták

We consider the problem of reconstructing binary images from their horizontal and vertical projections. We present a condition that the projections must necessarily satisfy when there exist two disjoint reconstructions from those projections. More generally, we derive an upper bound on the symmetric difference of two reconstructions from the same projections. We also consider two reconstruction...

We introduce the problem of performing set-difference range queries, where answers to queries are set-theoretic symmetric differences between sets of items in two geometric ranges. We describe a general framework for answering such queries based on a novel use of datastreaming sketches we call signed symmetric-difference sketches. We show that such sketches can be realized using invertible Bloo...

This article is concerned with the defect indices of singular symmetric linear difference equations of order 2n with complex coefficients and one singular endpoint. We first show that the positive and negative defect indices d+ and dof a class of singular symmetric linear difference equations of order 2n with complex coefficients satisfy the inequalities n ≤ d+ = d≤ 2n and all values of this ra...

Let $G$ be a simple connected graph. In this paper, Szeged dimension and PI$_v$ dimension of graph $G$ are introduced. It is proved that if $G$ is a graph of Szeged dimension $1$ then line graph of $G$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Sze...

Abstract In this presentation, a case of bilateral choroidal folds in patient with diabetic retinopathy was reported. By our knowledge, this case presentation is the first report of choroidal folds in diabetic retinopathy, which bilateral symmetric and horizontal folds arranged in macula. The thick choroid that is developed in diabetics may be a cause of these folds but the source of differenc...