A data warehouse collects the recent and ancient data that are used for creating analytical reports and put together to produce useful information. Retrieve the information accurately from a large source of data is a challenging task. A novel ANN-FUZZY-CSO approach is proposed to predict and retrieve the information accurately. First, the artificial neural network (ANN) classifies the input data for ordering the information to construct a database as different classes. Then, the mongo database will store a large amount of data for facilitating easy maintenance, prompt updating of land records and security. After that, the optimized fuzzy ranking function is used to retrieve the information from the database based on the optimal fuzzy rules using cat swarm optimization algorithm. The fuzzy rules provide a ranking for an individual field in the database. The accurate results for the user query are retrieved using cat swarm optimization (CSO) algorithm. The optimized fuzzy rules allow the users for easy access to their records. Finally, the performance is evaluated for the retrieval results

Partial differential equations are fundamental in modeling several natural phenomena. The present work is designed for the Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using lifting scheme. To demonstrate the efficiency and competence of the proposed scheme, we used both orthogonal and biorthogonal wavelets. This scheme speeds up convergence in lesser computational time as compared with existing schemes. Some test problems are presented for the validity and applicability of the scheme.

In this paper, a dynamic I2SR model based on rumor spreading with random noise interference is proposed. Active state of the spreaders and the random noise interference in the homogeneous network can be considered. This paper divided spreaders into high probability spreaders and low probability spreaders that can be transformed. The existence and uniqueness of global positive solutions, extinction , and the spreading range of rumors be proved. Through numerical simulation, we have three conclusions as follows: (1)The spreaders can quickly reach to the peak in the shorter time with the bigger of the transmissions rate;(2)The high probability spreaders not only pay more attention to rumors but also more likely to spread;(3)There have a negative correlation between the spreading range of rumors and noise intensity.

objective:Three dimensional digital modeling of human knee joint is carried out, and the mechanical behavior of knee joint in landing impact motion is analyzed by finite element method, which provides a reasonable basis for prevention of knee joint sports injury.Methods: three dimensional geometric model of knee joint was reconstructed by software Mimics;Transforming 3D geometric model into 3D finite element model by 3-matic software;The finite element software ANSYS was used to analyze the stress and strain of the cruciate ligament, tibial cartilage and meniscus in different impact motions.Results and conclusion:1. jumping and landing impact moment, knee cartilage, ligament, meniscus stress increases with the increase of the height of jumping, the tibia, the average distribution of the lateral platform landing impact load, the stress is greater than the anterior cruciate ligament posterior cruciate ligament, jumping height is 66cm, should be the force of posterior cruciate ligament in very close to the maximum, suggesting jumping height greater than 66cm in normal life or race training is easy to damage the posterior cruciate ligament.2, the posterior cruciate ligament with limited internal rotation of the femur in knee function, under the situation that internal rotation of the femur or tibia external rotation may damage the posterior cruciate ligament.

Recently, we realize increasing number of researchers that utilizing the modified Riemann- Liouville fractional differential operator, which is called the Jumarie's fractional differential operator. One of the important properties of this operator is the chain rule:

In this paper, we develop a new series of Fibonacci ?-step polynomials. Based on these series of polynomials, we introduce a new class of square matrix of order ?. Thereby, we define a new coding theory called Fibonacci ?-step polynomials coding theory. Then we calculate the generalized relations among the code elements for all values of ?. It is shown that, for ? = 2, the correct ability of this method is 93.33% whereas for n = 3, the correct ability of this method is 99.80%. The interesting part of this coding/decoding method is that the correct ability does not depend on ? and increases as ? increases.

Replicated data with measurement errors frequently exist in various scientific fields. In this work, we propose a replicated measurement error model for such data under scale mixtures of normal distributions. We consider local influence diagnostics to detect and classify outliers in the data through different perturbation schemes. A simulation study and an application confirm the effectiveness and robustness of the diagnostic method.