NULL

NULL

NULL

In this paper we prove some common fixed point theorems for family of occasionally weakly compatible mappings in Menger space. Also improvement of the results of B. D. Pant and Sunny Chauhan [1] under relaxed conditions is given.

In this paper, we establish a common xed point theorem for two pairs of mappings satisfying an almost generalized contractive condition for comparable elements in a partially ordered metric space. Our results generalize and extend the main results in [2] to multivalued mappings. As corollaries we obtain the results in [8, 9], and many others.

The classical radial harmonic Fourier moments (RHFMs) and the quaternion radial harmonic Fourier moments (QRHFMs) are gray-scale and color image descriptors. The radial harmonic functions with integer orders are not able to extract fine features from the input images. In this paper, the authors derived novel fractional-order radial harmonic functions in polar coordinates. The obtained functions are used to defined novel multi-channel fractional-order radial harmonic moments (FrMRHFMs) for color image description and analysis. The invariants to geometric transformations for these new moments are derived. A theoretical comparison between FrMRHFMs and QRHFMs is performed from the aspects of kernel function and the spectrum analysis. Numerical simulation is carried out to test these new moments in terms of image reconstruction capabilities, invariance to the similarity transformations, color image recognition and the CPU computational times. The obtained theoretical and numerical results clearly show that the proposed FrMRHFMs is superior to the QRHFMs and the existing fractional-order orthogonal moments.

Orthogonal moments enable computer-based systems to discriminate between similar objects. Mathe- maticians proved that the orthogonal polynomials of fractional-orders outperformed their corresponding counterparts in representing the fine details of a given function. In this work, novel orthogonal fractional- order Legendre-Fourier moments are proposed for pattern recognition applications. The basis functions of these moments are defined and the essential mathematical equations for the recurrence relations, orthog- onality and the similarity transformations (rotation and scaling) are derived. The proposed new fractional- order moments are tested where their performance is compared with the existing orthogonal quaternion, multi-channel and fractional moments. New descriptors were found to be superior to the existing ones in terms of accuracy, stability, noise resistance, invariance to similarity transformations, recognition rates and computational times.

NULL

Background: The quality assurance of 3D treatment planning system (TPS)will be investigated by different things such as beam configuration, dose calculation and plane evaluation which uses dose volume histogram analyzes. Material and method: the study was performed by XIO TPS (version 4.3.3) available at South Egypt Cancer Institute (SECI). This TPS employs two different 3D algorithms (Clarkson (CLK) and Fast Fourier Transform Convolution (CON)). Relative dose calculation (RDC) in terms of percentage depth dose (PDD) and off axis beam profiles (OAR) and absolute dosecalculation (ADC) in terms of dose and output factor were used and compared with the measured one using ionization chambers with water or solid phantoms in medical linear accelerator linac (Siemens Mevatron MD2).Two photon energies 6MV and 15MV were studied using field sizes of 10×10cm2 and 25×25cm2 for open field. Results: The OAR and PDD are divided into regions each of these having a tolerance limit of the accuracy acceptable. The large point of deviation appeared in field size 25×25cm2 at energy 15MV in outer regionδ4 of OAR. This region recorded the largest deviation than the others regions. In PDD curves haven’t any deviation.Larger deviations were observed with CLK algorithm compared to CON algorithm. 20 points out of criteria were observed in the RDC of a large field size 25×25cm2, while 16 points were out of criteria in the field size 10×10cm2. Conclusion: This work presents a feasibility and performance of quality assurance tasks the TPS for external photon beam

Radioactive pollution comes on the top of pollution types that affect human life directly through damaging the human genome or indirectly via his food web. The current study focused on the evaluation of radiation effects of Assiut Thermal Power Plant (ATPP) ashes on two crop plants, potato and squash, in terms of morphological and molecular levels. More particularly, the specific activity concentrations were measured in Bq/kg, of the 238U (226Ra) and 232Th series, and 40K-isotope for the untreated soil sample (control) and ATPP ash sample (represents the radioactive source with 100% concentration). Different concentrations of ATPP ash (0, 2, 4, 6 and 8%) were mixed with soil sample to study the effect of radioactively contaminated soil on potato and squash plants. The results of the present investigation revealed that the morphological characteristics of both potato and squash plants were changed, which reflected a steep regression in the values of all vegetative growth and yield traits. The alterations of the characteristic values were directly proportional to the radioactive ash concentration in the soil. In the same context, the molecular evaluation using PCR-based markers, e.g., ISSR and SCoT helps in understanding and explaining experimental observations at morphological level. ISSR/SCoT bands confirmed the toxicity and mutagenicity of radioactive ash samples at their present dose on both potato and squash plants. The present findings clearly explained the morphometric and genetic abnormalities in two of the main consumed crops by a human. Thus, the green area around the ATPP may disappear in the future due to increasing the pollution in terms of the radioactive component that directly attached to plants or indirectly by mixing with soil.