The investigation of determining solutions for the Diophantine equation over the Gaussian integer ring for the specific case of is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.
Background: Ostеoporosis is a systеmic disеasе of thе bonе that is charactеrizеd by rеducеd bonе mass, which lеads to incrеasеd bonе fragility and fracturеparticularly in postmеnopausal womеn.Thе aims of study was toеvaluatе thе rеlationship bеtwееn mandibular radiomorphomеtric indicеs obtainеd on digital panoramic radiographswith thе bonе minеral dеnsitiеs of thе lumbar spinееvaluatеd using dual-еnеrgy X-ray absorptiomеtry (DXA) scan, in a population of ostеoporotic and non-ostеoporotic fеmalеs. Matеrials and mеthods: In panoramic imagеs obtainеd from 60 fеmalе individuals dividеd еq
... Show MoreMultiple eliminations (de-multiple) are one of seismic processing steps to remove their effects and delineate the correct primary refractors. Using normal move out to flatten primaries is the way to eliminate multiples through transforming these data to frequency-wavenumber domain. The flatten primaries are aligned with zero axis of the frequency-wavenumber domain and any other reflection types (multiples and random noise) are distributed elsewhere. Dip-filter is applied to pass the aligned data and reject others will separate primaries from multiple after transforming the data back from frequency-wavenumber domain to time-distance domain. For that, a suggested name for this technique as normal move out- frequency-wavenumber domain
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First: the problem of research and its importance
The teacher's success in facilitating the students' learning and growth according to the educational and educational goals set out, he must identify the problems of discipline of students in the classroom in terms of sources and reasons and types and methods of prevention and treatment and the teacher to remember that success in his teaching and instruction is not completed more fully once he has the information And knowledge of the subject of the lesson, but must understand the dynamics of the group (class group) and master the skills of classroom management, su
... Show MoreThe reaction oisolated and characterized by elemental analysis (C,H,N) , 1H-NMR, mass spectra and Fourier transform (Ft-IR). The reaction of the (L-AZD) with: [VO(II), Cr(III), Mn(II), Co(II), Ni(II), Cu(II), Zn(II), Cd(II) and Hg(II)], has been investigated and was isolated as tri nuclear cluster and characterized by: Ft-IR, U. v- Visible, electrical conductivity, magnetic susceptibilities at 25 Co, atomic absorption and molar ratio. Spectroscopic evidence showed that the binding of metal ions were through azide and carbonyl moieties resulting in a six- coordinating metal ions in [Cr (III), Mn (II), Co (II) and Ni (II)]. The Vo (II), Cu (II), Zn (II), Cd (II) and Hg (II) were coordinated through azide group only forming square pyramidal
... Show MoreAbstractoEl presente estudio tiene como objetivo realizar un análisis comparativo entre dos obras literarias destacadas: “El amor en los tiempos del cólera” del célebre escritor Gabriel García Márquez y la novela “Los jardines del presidente” del escritor iraquí Mohsen al-Ramli. Estas dos novelas, escritas en diferentes contextos culturales y geográficos, comparten una serie de elementos contextuales y narrativos que nos invitan a explorar sus similitudes y diferencias.Principalmente, ambas obras pertenecen al género del realismo y se sumergen en las circunstancias y experiencias de sus personajes en sociedades oscuras dominadas por la opresión, la guerra y las tradiciones impuestas. Los autores ofrecen una perspectiva crí
... Show MoreThis study focusses on the effect of using ICA transform on the classification accuracy of satellite images using the maximum likelihood classifier. The study area represents an agricultural area north of the capital Baghdad - Iraq, as it was captured by the Landsat 8 satellite on 12 January 2021, where the bands of the OLI sensor were used. A field visit was made to a variety of classes that represent the landcover of the study area and the geographical location of these classes was recorded. Gaussian, Kurtosis, and LogCosh kernels were used to perform the ICA transform of the OLI Landsat 8 image. Different training sets were made for each of the ICA and Landsat 8 images separately that used in the classification phase, and used to calcula
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