On groups with the same character degrees as almost simple groups with socle the Mathieu groups

Let $G$ be a finite group and $cd(G)$ denote the set of complex irreducible character degrees of $G$. In this paper, we prove that if $G$ is a finite group and $H$ is an almost simple group whose socle is Mathieu group such that $cd(G) =cd(H)$, then there exists an Abelian subgroup $A$ of $G$ such that $G/A$ is isomorphic to $H$. This study is heading towards the study of an extension of Huppert's conjecture (2000) for almost simple groups.Comment: arXiv admin note: text overlap with arXiv:1108.0010 by other author

Robust committee machine for water saturation prediction.

Water saturation is one of the important physical properties of the petroleum reservoir which are usually determined by core analysis. An accurate determination of this parameter is significant to execute a realistic evaluation of hydrocarbon reserves in the formation and also decreasing the economic risk. In this study, a robust technique is proposed to determine an accurate value of this parameter from well log data in un-cored well or at un-cored interval of the same well by combining different types of machine learning techniques. The final results (sub-CM outputs) demonstrated that integrating these techniques using proposed method provides an accurate, fast and cost-effective method for estimating the target value

Robust combining methods in committee neural networks

Combining a set of suitable experts can improve the generalization performance of the group when compared to single experts alone. The classical problem in this area is to answer the question about how to combine the ensemble members or the individuals. Different methods for combining the outputs of the experts in a committee machine (ensemble) are reported in the literature. The popular method to determine the error in every prediction is Mean Square Error (MSE), which is heavily influenced by outliers that can be found in many real data such as geosciences data. In this paper we introduce Robust Committee Neural Networks (RCNNs). Our proposed approach is the Huber and Bisquare function to determine the error between measured and predicted value which is less influenced by outliers. Therefore, we have used a Genetic Algorithm (GA) method to combine the individuals with the Huber and Bisquare as the fitness functions. The results show that the Root Mean Square Error (RMSE) and R-square values for these two functions are improved compared to the MSE as the fitness function and the proposed combiner outperformed other five existing training algorithms

Comparison of Mechanical Properties of Wheat and Barley Straw

The objective of this work was to compare the mechanical properties of wheat and barley straw. The experiments were conducted at moisture contents of 10.24% and 10.76% w.b. for wheat and barley straw, respectively, and three internode positions down from the ear. The average shear strength for wheat and barley straw varied from 6.81 to 7.12 MPa and 3.90 to 4.49 MPa, respectively. The specific shearing energy of wheat and barley straw increased from 21.85 to 25.74 mJ/mm2 and 18.79 to 19.85 mJ/mm2, respectively, towards the third internode position. The bending stress and Young’s Modulus of wheat and barley straw increased towards the first internode position. The results showed that the mechanical properties of wheat and barley straw were statistically different

Effect of Moisture Content and Loading Rate on the Shearing Characteristics of Barley Straw by Internode Position

This research was conducted to evaluate the effect of moisture content, internode position and loading rate on the shearing characteristics of barley straw in terms of shear strength and shearing energy. The characteristics were determined at three moisture levels: 10, 15 and 20 % w.b., three loading rates: 5, 10 and 15 mm/min and three internodes: first, second and third internode. The results showed that both the shear strength and shearing energy increased with an increase in moisture content and loading rate and towards the third internode position. The average shear strength was obtained as 5.08 MPa varying from 3.68 to 6.18 MPa, while the average shearing energy was calculated as 100.93 mJ ranging from 65.17 to 131.06 mJ. The shear strength of the barley straw increased from 4.09 to 5.03 MPa, 4.84 to 5.25 MPa and 5.15 to 5.94 MPa for the first, second and third internodes, respectively, as the moisture content increased. The shearing energy of the straw also varied from 70.44 to 99.82 mJ, 92.46 to 121.25 mJ and 102.33 to 122.09 mJ for the first, second and third internodes, respectively