DISPLAY THE DISEASE PLACE FOR NON LINEAR MODEL WITH “ ANOVA” TECHNIQUE

ABSTRACTIn this paper, we transform a nonlinear model to a linear one by using numerical analysis with ‘‘Runger-Kutta4(RK4)’’. Whichis a mathematical technique to approximate solution of ordinary differential equations; this method is most popular where thestep size H is working to increase the lighting of the image compared with the original picture. The new data (normal &pathological images) obtained from this method is used in the statistical study of simple regression and “ANOVA” techniqueto detect the tumor of MRI images. After that, we study the linear regression and “ANOVA” technique by using ANOVAstatistical test (equation of ANOVA: fcal) and compare it with ANOVA table(ftab) for probability p-value =0.01 (here forarea 200x200, ftab=1) and see all pixels inferior to‘’1’’ that means the hypothesis ho is accepted. All these detail is to extractthe place of the lesion on MRI ,(which contain matrix data of normal image and pathological ones), the extract the acceptedho pixels directly on the pathological image. The simulation program applied here is Matlab.KEYWORDS: Runge kutta ,linear regression, Anova

Optical emissions of products sputtered from Fe, Fe

Powder iron has been bombarded by a 5 keV Kr+ ions in a vacuum better than 10-7 torr and under few 10-6 torr ultra pure oxygen partial pressure. The optical spectra of the sputtered particles were recorded between 340.0 nm and 410.0 nm. These spectra exhibit discrete lines, which are attributed to neutral excited atoms of iron. Two iron oxides, namely hematite (Fe2O$_{3})$ and magnetite (Fe3O$_{4})$, in powder form, were studied under the same experimental conditions and identical lines were observed in the obtained spectra. The absolute intensities of the spectral lines in all spectra were measured and the differences in the recorded yield photons were discussed in term of electron-transfer processes between the excited sputtered atom and the bombarded surface. In accordance with the proposed interpretation, we suggest values for the energy gaps and electronic affinities for the studied oxides and for the oxide layer that might be formed by the adsorption of oxygen atoms

2D supercritical free-surface flow : an experimental study

Paper presented at the 7th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Turkey, 19-21 July, 2010.The numerical two-dimensional free-surface steady flow of an incompressible inviscid fluid, over an obstacle lying on the bottom of a channel, is examined The Finite Volume Method is used for a supercritical regime. The results obtained from the numerical method are confronted with those of experiments carried out in a hydraulic channel for various obstacles.ej201