This paper proposed a new method to study functional non-parametric regression data analysis with conditional expectation in the case that the covariates are functional and the Principal Component Analysis was utilized to de-correlate the multivariate response variables. It utilized the formula of the Nadaraya Watson estimator (K-Nearest Neighbour (KNN)) for prediction with different types of the semi-metrics, (which are based on Second Derivative and Functional Principal Component Analysis (FPCA)) for measureing the closeness between curves. Root Mean Square Errors is used for the implementation of this model which is then compared to the independent response method. R program is used for analysing data. Then, when the covariates are functional and the Principal Component Analysis was utilized to de-correlate the multivariate response variables model, results are more preferable than the independent response method. The models are demonstrated by both a simulation data and real data.
In this study, the modified Rayleigh-Ritz method and Fourier series are used to determine the thermal buckling behavior of laminated composite thin plates with a general elastic boundary condition applied to in-plane uniform temperature distribution depending upon classical laminated plate theory(CLPT). A generalized procedure solution is developed for the Rayleigh-Ritz method combined with the synthetic spring technique. The transverse displacement of the orthotropic rectangular plates is not a different term as a new shape expansion of trigonometric series. In this solution approach, the plate transverse deflection and rotation due to bending are developed into principle Fourier series with a sufficient smoothness auxi
... Show MoreThe limitations of conventional cement mortar as a widely used construction material include low tensile capacity, high permeability, and susceptibility to chemical degradation. The increasing demand for durable and sustainable construction materials has led to increased attention in modifying cementitious materials through nanotechnology. This study investigates the influence of nano-silica (NS) and nano-alumina (NA) on the physical, strength-related, and durability characteristics of cement mortar to determine the optimum nanomaterial type and dosage for performance enhancement. Six mortar mixes, in addition to a reference mix, were designed and prepared by adding 1%, 1.5%, and 2% of the cement weight with NS and NA separately, an
... Show MoreObjective: To assess prospectively functional outcome of interlocked intramedullary nailing fixation in management of closed tibia shaft fractures. Methodology: This prospective study included 134 patients with closed shaft tibia fractures with age 18-60 years and isolated closed fracture of shaft of tibia. The fractures were fixed by interlocking intramedullary nail. At follow-up after 12 months postoperatively, the functional outcome was assessed radiographically for the sign of union and clinically according to Klemm-Borner criteria. Results: The mean age was 38.55 years. Out of 134 patients, 55.2% were male. The cause was road traffic accident in 44.8%, majority of the fracture occur in the mid-shaft (41.8%), and oblique fracture was th
... Show More Bilingual slogans are an imperative today in our Arabic region. Since the beginning of history, the regions of the world have become colorful with a wide range of local and international languages, which have sometimes competed, broken up or adapted to the new languages that have replaced them. The contemporary era also shows a new linguistic interface influenced by what the region experienced in the post-colonial era, globalization, new learning requirements and the growing cultural exchange in today's world
" What is the role of the "replacement in shapes" on reinforcing the connecting speech in logo Therefore, bilingual designs have become an inevitable reality as a result of those conditions that afflicted the world, and t
The various properties of the ground and excited electronic states of coumarins 102 using density functional theory (DFT) and time-dependent density functional theory (TDDFT) was calculated by the B3LYP density functional model with 6-31G(d,p) basis set by Gaussian 09 W program. Spectral characteristics of coumarin102 have been probed into by methods of experimental UV-visible, and quantum chemistry. The UV spectrum was measured in methanol. The optimized structures, total energies, electronic states (HOMO- LUMO), energy gap, ionization potentials, electron affinities, chemical potential, global hardness, softness, global electrophilictity, and dipole moment were measured. We find good agreement between experimental data of UV spectrum and
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