We will discuss a few basic facts about the distribution of eigenvalues of the adjacency matrix, and some applications. Then we discuss the question of computing the eigenvalues of a symmetric matrix. 1 Eigenvalue distribution Let us consider a d-regular graph G on n vertices. Its adjacency matrix AG is an n× n symmetric matrix, with all of its eigenvalues lying in [−d, d]. How are the eigenval...

Volume rendering with splatting most commonly decomposes a volume dataset into a field of overlapping radial basis function (RBF) kernels, such as Gaussians. The rendering effort is directly related to the number of RBFs in the volume and the degree of RBF overlap in the rasterization phase. Much work has been done that seeks to lower the number of RBFs by replacing a neighborhood of kernels wi...

The tumour suppressor p53 protein plays a central role in the DNA damage response/checkpoint pathways leading to DNA repair, cell cycle arrest, apoptosis and senescence. The activation of p53-mediated pathways is primarily facilitated by the binding of tetrameric p53 to two ’half-sites’, each consisting of a decameric p53 response element (RE). Functional REs are directly adjacent or separated ...

Intuitionistic fuzzy sets (IFS), Pythagorean (PFS), and q-rung orthopair (q-ROFS) are among those concepts which widely used in real-world applications. However, these theories have their own limitations terms of membership non-membership functions, as they cannot be obtained from the whole unit plane. To overcome restrictions, we developed concept a complex linear Diophantine set (CLDFS) by ge...

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

Introduction. In languages with fixed stress towards the left or right edge of the word, stress is often used for delimiting one edge of a prosodic phrase, while the other edge is marked by a boundary tone. In languages in which sequences between two accents form an accentual phrase (AP), the edge tones often show a regular pattern [2]. Both Hungarian and Slovak have stress on the left-most syl...

this study was performed to investigate the effect of ag+ as an elicitor on the activity of antioxidant enzymes, content of h2o2, accumulation of total tocopherol and antioxidant activity in hairy root cultures of silybum marianum (l.) gaertn. the hairy roots were treated with 2 mm ag+. the treated and non-treated hairy roots were harvested in the same time and data on h2o2 content, dpph, tocop...

objective: development of resistance against many of the commonly used antibiotics is an impetus for further efforts to search for new antimicrobial agents. the aim of the study was determined as antibacterial activity of silver nanoparticles produced by plantago ovata seed extract against pseudomonas aeruginosa. methods: all 30 strains of p. aeruginosa wereisolated from isolates of the urinary...

in this study, silver nanoparticles were synthesized by chemical reduction method at different concentrations of ag colloid in the range of 500-16000 ppm. nanoparticles were deposited by spin coating method on pre-etched glass and si substrates. structural, optical and electrical properties of the samples were studied using scanning electron microscopy equipped with edax, uv-vis spectrophotomet...