Consider a simple graph   on vertices and edges together with a total  labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say  defined by  for all  where  Also, the value  is said to be the edge weight of . The total edge irregularity strength of the graph G is indicated by  and is the least  for which G admits   edge irregular h-labeling.  In this article,   for some common graph families are examined. In addition, an open problem is solved affirmatively.

This research include design and implementation of an Iraqi cities database using spatial data structure for storing data in two or more dimension called k-d tree .The proposed system should allow records to be inserted, deleted and searched by name or coordinate. All the programming of the proposed system written using Delphi ver. 7 and performed on personal computer (Intel core i3).

Praise be to the one who taught the pen. Without the pen, the knowledge of the first two would not have reached the others. Then, praise the one who taught man from the printing industry unless he knew, and prayers and peace be upon those who guide all nations to the invention and the follower in the matter of religion, and to his family and companions.
      The use of Qur’anic use is an integrated and important topic that examines the building and the meaning, which are two major titles in the study of Arabic, so the goal of scholars when going into these explanations was to find out the wonderful linguistic miracle of this great book.
     Scholars have worked hard to talk

The effect of the initial pressure upon the laminar flame speed, for a methane-air mixtures, has been detected paractically, for a wide range of equivalence ratio. In this work, a measurement system is designed in order to measure the laminar flame speed using a constant volume method with a thermocouples technique. The laminar  burning velocity is measured, by using the density ratio method. The comparison of the present work results and the previous ones show good agreement between them. This indicates that the measurements and the calculations employed in the present work are successful and precise

     Steganography is a technique to hide a secret message within a different multimedia carrier so that the secret message cannot be identified. The goals of steganography techniques include improvements in imperceptibility, information hiding, capacity, security, and robustness. In spite of numerous secure methodologies that have been introduced, there are ongoing attempts to develop these techniques to make them more secure and robust. This paper introduces a color image steganographic method based on a secret map, namely 3-D cat. The proposed method aims to embed data using a secure structure of chaotic steganography, ensuring better security. Rather than using the complete image for data hiding, the selection of

 The new schiff bases derived from D-erythroascorbic acid contaning heterocyclic unit were synthesized by condensation of D-erythroascorbic acid with aromatic amine (containing 1,3,4oxadiazole or 1,3,4-thiadiazole unit) in dry benzene using glacial acetic acid as a catalyst.  Derythroascorbic acid [IV] was synthesized by four steps (Scheme 1), while the primary aromatic amine which is containing 1,3,4-oxadiazole [VII] or 1,3,4-thiadiazole [VIII] synthesized by the reaction of 4methoxy benzoyle hydrazine [VI] with 4-amino benzoic acid or by the reaction  tuloic acid with thiosemicarbazide, respectively in the presence of POCl3. The new  1,3-oxazepine derivatives were obtained by addition reaction of Schiff bases with d

     According to the high operational costs, low stability, and reusability of enzymes, immobilization by nanoparticle gathering has increased in recent years. Iron oxide nanoparticles (magnetite nanoparticles, Fe₃O₄) have been prepared by mixing one volume of iron dioxide ions and two volumes of iron trioxide ions with HCl via the precipitation of iron salts by NH₄OH. The features of magnetic nanoparticles have been studied by Atomic Force Microscopy (AFM), X-Ray Diffraction (XRD), Fourier Transform Infrared Spectroscopy, and Scanning Electron Microscopy (SEM). The prepared Fe₃O₄ was used in the adsorption method to immobilize the galactosidase enzyme. The immobilized enzyme has been compared wi

      The aim of this article is to present the exact analytical solution for models as system of (2+1) dimensional PDEs by using a reliable manner based on combined LA-transform with decomposition technique and the results have shown a high-precision, smooth and speed convergence to the exact solution compared with other classic methods. The suggested approach does not need any discretization of the domain or presents assumptions or neglect for a small parameter in the problem and does not need to convert the nonlinear terms into linear ones. The convergence of series solution has been shown with two illustrated examples such (2+1)D- Burger's system and (2+1)D- Boiti-Leon-Pempinelli (BLP) system.

Abstract

Background: Hair loss is a common skin condition. Hair is not a vital organ but losing it has a worse effect on the psychological state of the patient and may interrupt his daily social activities. Telogen effluvium founded to be the commonest noninflammatory cause to diffuse hair loss. Since nutritional disturbances are one of the triggering factors for it. It might be useful in the management of TE Due to the limited number of studies& little information is available on this subject possible role of vitamin D or its deficiency should be studied further.

Aim of the study:  to determine the association between Telogen effl