The aim oj this article is to study the convergence oj the Euler harmonic series. Firstly, the results concerning the convergence oj the Smaralldache and Erdos harmonic junctions are reviewed Secondly, the Euler harmonic series is proved to be convergent jor a> I, and divergent otherwise. Finally, the slims of the Euler harmonic series are given

In this paper we first compare Parikh’s condition to various pumping conditions Bar-Hillel’s pumping lemma, Ogden’s condition and Bader-Moura’s condition; secondly, to interchange condition; and finally, to Sokolowski’s and Grant’s conditions. In order to carry out these comparisons we present some properties of Parikh’s languages. The main result is the orthogonality of the previously mentione...

This paper, first we describe the introduction of Cellular Message Encryption Algorithm, used for control channel encryption in Cellular Telephony scheme. Secondly why this algorithm is weak against security of cipher text being transmitted and finally how we can modify the Cellular Message Encryption Algorithm to be more secure for control data transmission.

In this paper we will show how fuzzy similarity measures can be used for the construction of quality measures for colour images. First of all, we review the component-based approach in three different colour spaces, namely the RGB, HSV and Lab colour spaces. And secondly, we discuss a vector-based approach using vector morphological operators. Both approaches are compared using several experime...

We present a case of small intestine injury resulting from suprapubic catheter insertion. This case is of particular interest for three reasons. Firstly, the presentation of the injury was delayed by three months, until the time of the first catheter exchange. Secondly, the injury was managed conservatively, without surgical exploration. Finally, the injury occurred using a newer, Seldinger-typ...

A simple language is demonstrated that combines specifications and manuals. This shows first that a user manual can be automatically reconstructed from a logic specification that is effectively identical to the original logic (up to ambiguities in natural language); and secondly, that such an automated process can help detect errors. The process is fast and suitable for use in participatory des...

In this note we provide two alternative proofs to that given in [15] of the fact that the best possible lower bound for the set of n-quasi-copulas does not induce a stochastic measure on [0, 1]n for n ≥ 3: firstly, by reviewing its mass distribution, and secondly, by using concepts of self-affinity.

In this paper, the main purpose is to study existence of the global attractors for the weakly damped wave equation with nonlinear boundary conditions. To this end, we first show that the existence of a bounded absorbing set by the perturbed energy method. Secondly, we utilize the decomposition of the solution operator to verify the asymptotic compactness.

In this paper, we firstly present a general expression for the entries of the th r   N r power of certain -square n are complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.

A 3D deformable hand avatar for virtual grasping using multiple single-contact-point haptic devices is introduced. The proposed technique has two main advantages. First, the whole hand motion is reconstructed by measuring only fingertips positions and using a biomechanical model of the hand along with the postural synergies characterizing grasping actions. Secondly, this technique requires only...