The optimization calculations are made to find the optimum properties of combined quadrupole lens consist of electrostatic and magnetic lenses to produce achromatic lens. The modified bell-shaped model is used and the calculation is made by solving the equation of motion and finding the transfer matrices in convergence and divergence planes, these matrices are used to find the properties of lens as the magnification and aberrations coefficients. To find the optimum values of chromatic and spherical aberrations coefficients, the effect of both the excitation parameter of the lens (n) and the effective length of the lens into account as effective parameters in the optimization processing

 This research deal the primary and secondary sedimentary structures in the By Hassan Formation in the three locations in the northeast of Iraq.          Can be recognize many geological structures such as cross bedding, planer bedding, graded bedding, channel structure and mud ball house deposit in the flood plain. The ether side this research study the direction of old current and sedimentary structure that made by the one direction current

The shift that caused the fading art schools and the brightness of the other, which dictate the work of art based surface and defect lasting regeneration led the researcher to stop at the color of his study, as an element of fixed and mobile at the same time, hard as a lieutenant of the painting plastic and brick construction that supports a painting, The variable that follows the doctrine of the artist and the philosophy of the community, because of the extrapolation of his biography, especially in modern art and beyond is clear that compose a variety of ways and so as to ensure continuity vital to the process of drawing, color in all modes is responsible for editing shapes on the surface imaging is, without a line, shape and dimensions

This Paper aims to plan the production of the electrical distribution converter (400 KV/11) for one month at Diyala Public Company and with more than one goal for the decision-maker in a fuzzy environment. The fuzzy demand was forecasting using the fuzzy time series model. The fuzzy lead time for raw materials involved in the production of the electrical distribution converter (400 KV/11) was addressed using the fuzzy inference matrix through the application of the matrix in Matlab, and since the decision-maker has more than one goal, so a mathematical model of goal programming was create, which aims to achieve two goals, the first is to reduce the total production costs of the electrical distribution converter (400 KV/11) and th

In this work a fragile watermarking scheme is presented. This scheme is applied to digital color images in spatial domain. The image is divided into blocks, and each block has its authentication mark embedded in it, we would be able to insure which parts of the image are authentic and which parts have been modified. This authentication carries out without need to exist the original image. The results show the quality of the watermarked image is remaining very good and the watermark survived some type of unintended modification such as familiar compression software like WINRAR and ZIP