Let A be a finite nonempty set of integers. An asymptotic estimate of several dilates sum size was obtained by Bukh. The unique known exact bound concerns the sum |A + k ·A|, where k is a prime and |A| is large. In its full generality, this bound is due to Cilleruelo, Serra and the first author. Let k be an odd prime and assume that |A| > 8kk. A corollary to our main result states that |2 · A +...

Recently, Eisenbrand, Pach, Rothvoß, and Sopher studied the function M(m, n), which is the largest cardinality of a convexly independent subset of the Minkowski sum of some planar point sets P and Q with |P | = m and |Q| = n. They proved that M(m, n) = O(m2/3n2/3+m+n), and asked whether a superlinear lower bound exists for M(n, n). In this note, we show that their upper bound is the best possib...

  Purpose: To recognize affective factors in delivering X-ray contrast agents (which have high atomic number) via gallium carrier to liver or lymphatic neoplasm cells.   Materials and Methods: Since uptake of gallium by liver has been reported in numerous researches, it was bonded with a contrast media (metrizoate). X-ray imaging was done to determine geometric features of liver.   Results: Rad...

Article history: Available online 17 July 2008

Introduction: Nowadays, magnetic resonance imaging (MRI) in combination with computed-tomography (CT) is increasingly being used in radiation therapy planning. MR and CT images are applied to determine the target volume and calculate dose distribution, respectively. Since the use of these two imaging modalities causes registration uncertainty and increases department w...

Image processing technique was used to compare udder morphological characteristics in two Iranian crossbred sheep populations including Ghezel-Arkhamerino, Moghani-Arkharmerino and a pure one that was Ghezel ewes. In addition, the resulted measurements were applied as independent variables for estimation of daily milk yield by regression models. Udder height of Ghezel was higher than Ghezel-Ark...

3 Proof of Theorem 1 9 3.1 Estimation of the g1 term. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.2 Estimation of the g3 term. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.3 Estimation of the g2 term. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.4 Putting everything together. . . . . . . . . . . . . . . . . . . . . ....

according to world health organization, breast cancer is one of the most deadly cancers occurred in women. therefore accurate diagnosis and prediction is important to decrease the high death rate. the aim of this paper is twofold. first, improving breast cancer detection accuracy using modified fuzzy logic (mfl) then improving the performance of mfl algorithm using gpu platform. the experimenta...