The study of homomorphism and Cartesian product is one of the most important mathematical tools that preserve algebraic structures. In this work, a new definition of the concept of a cubic bipolar-ideal under homomorphism in a TM-algebra is introduced. Some important theorems are presented. The notion of Cartesian product for cubic bipolar-ideals and cubic bipolar T-ideals is studied. Also, several properties of the Cartesian product for cubic bipolar-ideals are investigated. Furthermore, the level subsets of the Cartesian product of two cubic bipolar-ideals are defined.

Background: The Titanium and its alloys are suitable for dental implant and medical applications. Biocompatibility of the materials is a major factor in determining the success of the implant and has a great impact on their rate of osseointegration. The aim of this study was to evaluate the biocompatibility and cytotoxicity of Ti2AlC in comparison to CPTi & Ti6Al7Nb in rabbits. Materials and Methods: 10 male New Zealand White rabbits, weighing (2-2.5 kg), aged (10-12 months) were used in this study. Cylindrical implants were prepared from the study materials (CPTi, Ti6Al7Nb and Ti2AlC) with (8mm) height and (3mm) diameter for the evaluation of tissue response and disc specimens were prepared with (6 mm) diameter and (2 mm) thickness for ev

in this paper the second order neutral differential equations are incestigated are were we give some new suffucient conditions for all nonoscillatory

The measurement of minority carrier lifetime (MCLT) ofp-n Si fabricated with aid of laser doping technique was reported. The measurement is achieved by using open circuit voltage decay (OCVD) technique. The experiment data confirms that the value of MCLT and proftle of Voc decay were very sensitive to the doping laser energy.

In this paper, a sufficient condition for stability of a system of nonlinear multi-fractional order differential equations on a finite time interval with an illustrative example, has been presented to demonstrate our result. Also, an idea to extend our result on such system on an infinite time interval is suggested.

Study of group action of stone columns using FEM

Abstract: This study aims to identify mainly the experience of development of the state of Zimbabwe. The purpose of this study is to explain African studies in our Arab countries . The approach followed in this study is analytical description using also the comparative method as needed. This research division an introduction ,fourth topics and conclusions .The first dealt with the geographical location of the state of the Zimbabwe and explain of the main cities and a general introduction to the Republic of the state of Zimbabwe . The second section reviewed the historical development since the advent of colonial British colonialism and the declaration of Rhodesia Nyasaland in 1953 . As well as to clarify the position of stats and interna

This work characterizes the fractographic features of the neat epoxy and ZrO₂ epoxy nanocomposites. All samples were subjected to a tensile test to determine the tensile strength and tensile modulus. SEM images were used to study the morphology of the fractured surface. The fractographic of the fracture surfaces were studied by microstructure analysis program (j-images) to specify the effect of ZrO₂ nanoparticles on tensile performance and failure mechanism for ZrO₂ epoxy nanocomposites. The tensile test results show that the addition of ZrO₂ nanoparticles (2, 4, 6, 8, and 10 vol.%) to the epoxy matrix leads to increase the tensile strength about 40% for optimal content of ZrO₂ nanop