This paper contrastively researches the structural characteristic and the fission-evolution law of four different kinds of generalized Julia set generalized J set in short with different parameter c, which includes the generalized J set without any perturbation, the generalized J set perturbed by additive noises, the generalized J set perturbed by multiplicative noise, and the generalized J set...

The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics...

In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations ∆n(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam-Rassias stability. As corollaries, we obtain the generalized Hyers-Ulam-Rassias stability for generalized forms of square root spirals functional...

The generalized Hosoya triangle is an arrangement of numbers where each entry is a product of two generalized Fibonacci numbers. We define a discrete convolution 1 C based on the entries of the generalized Hosoya triangle. We use C and generating functions to prove that the sum of every k-th entry in the n-th row or diagonal of generalized Hosoya triangle, beginning on the left with the first e...

One of the fundamental ways to construct De Bruijn sequences is by using a shift-rule. A shift-rule receives a word as an argument and computes the digit that appears after it in the sequence. An optimal shift-rule for an (n, k)-De Bruijn sequence runs in time O(n). We propose an extended notion we name a generalized-shift-rule, which receives a word, w, and an integer, c, and outputs the c dig...

A number of studies have associated the S18Y polymorphic variant of UCH-L1 with protection from sporadic Parkinson's Disease (PD). The mechanism involved in this protective function is unknown, but has generally been assumed to be linked to the ubiquitin-proteasome system (UPS). In the current study, we have investigated the effects of overexpression of UCH-L1 and its variants, including S18Y, ...

Weblint is a utility for checking the syntax and style of HTML pages. It was inspired by lint [15], which performs a similar function for C and C++ programmers. Weblint does not aspire to be a strict SGML validator, but to provide helpful comments for humans. The importance of quality assurance for web sites is introduced, and one particular area, validation of HTML, is described in more detail...

Let T and S be a subspace of C and C, respectively. Then for A ∈ Cm×n satisfied AT ⊕ S = C, the generalized inverse A T,S is given by A (2) T,S = (PS⊥APT ) †. In this paper, a finite formulae is presented to compute generalized inverse A T,S under the concept of restricted inner product, which defined as < A,B >T,S=< PS⊥APT , B > for the A,B ∈ Cm×n. By this iterative method, when taken the init...