Let ?(x) : ?x/2, ?2/3, ?3/4, ?4/5, ... be a sequence with real variable x > 0 and let W?(x) the associated weighted shift weight ?(x). In [17], Exner-Jung-Park provided an algorithm to distinguish weak k-hyponormality of W?(x), obtained sn for some low numbers n = 4,..., 10, such that W?(sn) is weakly n-hyponormal but not n-hyponormal. this paper, we obtain formula (for all positive integer ...

A new manganese(II) complex containing p-hydroxybenzoate and caffeine ligands, namely [Mn(OH-C6H4COO)2(H2O)4].2(C8H10N4O2).8H2O has been prepared. The synthesized complex has been characterized by elemental analyses, FT-IR spectroscopy, X-ray crystallography, and m...

conclusion by comparing the results, we saw that w/rh anode/filter combination is the best choice in breast mammography imaging because of the lowest delivered dose in comparison with w/ag and rh/al. moreover, breast thickness and g value have significant effects on mgd. objectives the aim of this study was to determine the average absorbed dose of x-ray radiation in the glandular tissue of the...

and Applied Analysis 3 For any u(x) ∈ W 2 [0, +∞), let ⟨u(x), ψ i (x)⟩ = 0, i = 1, 2, . . ., which means that ⟨u (x) , (L ∗ φ i (x)⟩ = ⟨Lu (⋅) , φ i (⋅)⟩ = (Lu) (x i ) = 0. (12) Note that {x i } ∞ i=1 is dense in [0, +∞); therefore,Lu(x) = 0. It follows that u(x) ≡ 0 from the existence ofL. 3.1. Construction the of Iterative Sequence ?̃? n (x) and Ṽ n (x). Next we construct the iterative sequenc...

Abstract. Fix a strictly positive measure W on the d-dimensional torus T. For an integer N ≥ 1, denote by W x , x = (x1, . . . , xd), 0 ≤ xi < N , the W measure of the cube [x/N, (x+1)/N), where 1 is the vector with all components equal to 1. In dimension 1, we prove that the hydrodynamic behavior of a superposition of independent random walks, in which a particle jumps from x/N to one of its n...

An action X x A^ —> X : (x.w) *—• x * w ofthefree semigroup A^~ over the alphabet A is synchronised by a word w G A + if x * w = y * w for ail x}y £ X. Cerny conjecturée that if there is such a w and \X\ = n, then there is one oflength < (n l ) 2 . The conjecture remains open, except for particular classes of actions. An action is circular if there is c G A acting as a circular permutation, and...

Let $x$ and $y$ be two distinct vertices in a connected graph $G$. The $x,y$-location of a vertex $w$ is the ordered pair of distances from $w$ to $x$ and $y$, that is, the ordered pair $(d(x,w), d(y,w))$. A set of vertices $W$ in $G$ is $x,y$-located if any two vertices in $W$ have distinct $x,y$-location.A set $W$ of vertices in $G$ is 2-located if it is $x,y$-located, for some distinct...