scholarly journals Analysis of the structure of the site using a Web graph

2019 ◽  
Author(s):  
N. A. Guk ◽  
S. V. Dykhanov ◽  
S. F. Syryk
Keyword(s):  
Mathematical Model ◽  
Local Information ◽  
Analysis Method ◽  
Clustering Method ◽  
Site Structure ◽  
Product Categories ◽  
Structural Relationships ◽  
Web Graph ◽  
The Mathematical Model ◽  
The Web

A technique for analyzing the structure of a website based on data on hypertext links between pages is proposed. An analysis method based on the topology of links between pages was selected. The mathematical model of the website in the form of a web graph is developed. Structural relationships between pages are represented by binary values in the graph adjacency matrix. The problem of clustering is formulated. To analyze the structure of the web graph the clustering method k-means is used. A metric for determining the distance between cluster elements has been introduced. Assessment of the complexity of the algorithm is performed. Website pages correspond to hierarchical units of the structure. The structure distinguishes between pages of categories and subcategories of goods, pages of goods, and thematic articles. Types of site pages are selected as clusters. Typical pages for each cluster are selected as centroids. An iterative algorithm for constructing a web graph has been developed. The queue is selected as the data structure for storing local information when crawling pages. Testing of the proposed approach is carried out on the example of an existing online store. A division of the site pages into clusters was obtained as a result of the analysis. A division is corresponded to hierarchical elements of the structure: product categories, subcategories, product pages. The type of pages that are poorly identified by the algorithm is revealed. Using the results of clustering, you can improve the site structure during reengineering. Application of the developed methodology will improve the indexing of the site in the search engine.

Mathematical Models of Papermaking

2001 ◽  
Vol 6 (1) ◽  
pp. 9-19 ◽  
Author(s):  
A. Buikis ◽  
J. Cepitis ◽  
H. Kalis ◽  
A. Reinfelds ◽  
A. Ancitis ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Initial Value Problems ◽  
Moisture Transfer ◽  
Bound Water ◽  
Drying Process ◽  
Initial Value ◽  
First Order ◽  
Heat And Moisture ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations. 

Mathematical Model of Three-Phase Boost Converter

2012 ◽  
Vol 507 ◽  
pp. 96-100
Author(s):  
Zhong Zhang ◽  
Wei Ming Tong
Keyword(s):  
Mathematical Model ◽  
Nonlinear Control ◽  
Control Strategy ◽  
Boost Converter ◽  
Analysis Method ◽  
Topology Structure ◽  
Conservation Of Energy ◽  
Three Phase ◽  
Converter Topology ◽  
The Mathematical Model

Now the nonlinear control strategy used by a lot of power electronic converters is not dependent on the mathematical model of the system. They are only based on the error of control variables to control the output voltage or other variables, and this leads to the shortcomings of poor control and not easy to optimize. The fundamental reason is that they are not based on the mathematical model of converter topology structure. This paper presents a new way to build mathematical model. The paper established the unified mathematical model of the three-phase Boost converter topology structure by studied the three-phase Boost converter topology structure deeply and based on the law of conservation of energy and combined with small-signal modeling analysis method, and done the systematic analysis for it. The analysis method is also applicable to other converter topology, such as the buck, buck-boost, etc., and the model not only can be used in the controller design, can also provide a theoretical basis for the applications of a new nonlinear control strategy.

Research on the Simulation of the Charge Mathematical Model of the Vehicle Starting Battery

2013 ◽  
Vol 680 ◽  
pp. 479-483
Author(s):  
Pei Ying Li ◽  
Yu Tian Pan
Keyword(s):  
Mathematical Model ◽  
Battery Life ◽  
Model Parameters ◽  
Analysis Method ◽  
Lead Acid Battery ◽  
Battery Charge ◽  
Charge Model ◽  
Simulation Results ◽  
The Mathematical Model ◽  
Lead Acid

In order to meet the demands of practical, convenient and quick charge requirements, a mathematical model of a certain type of vehicle starting lead-acid battery is established. Using the method of circuit analysis, the model parameters are identified by the known test data. In addition, battery charge model is simulated in each charge stage using the intelligent three-stage charge method, simulation waveform and test waveform fit very well, absolute errors between them reach to 10-6. Simulation results show that the mathematical model and its analysis method is proper for the charge characteristics of vehicle starting lead-acid battery. This has a good guidance to design intelligent charger and extend the battery life.

scholarly journals A Mathematical Model of Co-current Imbibition Phenomenon in Inclined Homogeneous Porous Medium

10.29007/jq63 ◽  
2018 ◽  
Author(s):  
Mahendra A. Patel ◽  
Narendrasinh Desai
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Numerical Solutions ◽  
Approximate Analytical Solution ◽  
Spontaneous Imbibition ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Homogeneous Porous Medium ◽  
The Mathematical Model ◽  
Wetting Fluid

Spontaneous imbibition is the process in which the wetting phase is drawn into a porous medium by means of capillary force. Cocurrent and countercurrent spontaneous imbibitions are defined as wetting and non-wetting fluid flow in identical, and opposite directions respectively. The mathematical model is developed for cocurrent imbibition phenomenon in the inclined oil formatted homogeneous porous medium. An approximate analytical solution of the governing equation is derived by homotopy analysis method. The graphical and numerical solutions are discussed.

scholarly journals Research on Quantitative Analysis Method of Combined Maintenance Task

2021 ◽  
Vol 2095 (1) ◽  
pp. 012078
Author(s):  
Na Yu ◽  
Tao Zhang
Keyword(s):  
Mathematical Model ◽  
Quantitative Analysis ◽  
Delay Time ◽  
Maintenance Cost ◽  
Maintenance Period ◽  
Analysis Method ◽  
Quantitative Analysis Method ◽  
Periodic Replacement ◽  
The Impact ◽  
The Mathematical Model

Abstract In this paper, the delay time theory is used to establish the mathematical model of the combination of monitoring and periodic replacement tasks, and the impact of maintenance period of monitoring and periodic replacement is discussed. Through the optimization solution, the optimal cycle of combined maintenance tasks is obtained to minimize the maintenance cost while ensuring the reliability. Finally, an example is given to demonstrate the feasibility of this method.

Study on the ASTM Standard E826 and its Role in Testing Materials Homogeneity

2012 ◽  
Vol 490-495 ◽  
pp. 3628-3632
Author(s):  
Ri Bo Ning ◽  
Song Ning Xu ◽  
Qian Li
Keyword(s):  
Mathematical Model ◽  
Statistical Analysis ◽  
Local Inhomogeneity ◽  
Analysis Method ◽  
Practical Application ◽  
Astm Standard ◽  
Advantages And Disadvantages ◽  
Statistical Analysis Method ◽  
The Mathematical Model

This paper introduced the outline of ASTM standard E826, elucidated the mathematical model and features of experimental designing of this standard. The advantages and disadvantages of this standard in practical application were clarified. Some supplements and improvements were proposed for the standard. The issue of local inhomogeneity was judged with statistical analysis method.

Study on the Accessibility Analysis Method of Loop-Pipe-Network with Multi-Gas-Source

2011 ◽  
Vol 347-353 ◽  
pp. 3869-3872
Author(s):  
Wen Zhong Xu ◽  
Yan Hua Cheng ◽  
Wan Zheng Zhang
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
Linear Algebra ◽  
Solution Method ◽  
Analysis Method ◽  
Pipe Network ◽  
Accessibility Analysis ◽  
Gas Source ◽  
The Mathematical Model ◽  
Designing Method

This paper carries the study on the accessibility analysis method of loop-pipe-network with multi-gas-source. For the unreasonableness of conventional designing method of loop-pipe-network with multi-gas-source, the accessibility analysis mathematical model is established with relevant theory of graph theory, hydromechanics and linear algebra, and the solution method of the mathematical model of accessibility analysis is set. The accessibility analysis method could achieve the reliability and economy of network.

scholarly journals ANALYSIS METHOD OF CALCULATION PARAMETERS OF HEAT AND MASS TRANSFER PROCESSES IN THE STIRLING ENGINE

2017 ◽  
Vol 3 ◽  
pp. 298
Author(s):  
Sergej Semyonov ◽  
Sergej Tikhonov ◽  
Mihail Donchenko ◽  
Jurij Lukyanov ◽  
Andrej Perminov
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Analysis Method ◽  
Calculation Methods ◽  
Method Of Calculation ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
The Mathematical Model ◽  
Optimal Calculation

The article highlights the optimal calculation methods for determining the parameters of heat and mass transfer processes occurring in the rotary-vane engine with an external supply of heat. It is shown that the mathematical model of working processes must consist of two parts. One part describes the processes occurring in the isolated volume. The second part describes the processes of mass exchange between the working chambers of two modules, as well as a heater or a cooler.

Study of the Mathematical Model for Online Predicting Dispersion on the Rubber Open Mill

2013 ◽  
Vol 561 ◽  
pp. 91-94
Author(s):  
Xian Kui Zeng ◽  
Shu Hong Zhao ◽  
Na Ren ◽  
Dong Wang ◽  
Chang He Yang
Keyword(s):  
Mathematical Model ◽  
Regression Analysis ◽  
Absolute Error ◽  
Multiple Correlation Coefficient ◽  
Analysis Method ◽  
Analysis Software ◽  
Multiple Correlation ◽  
Experimental Platform ◽  
Level Of Significance ◽  
The Mathematical Model

Using the intelligent open mill mixing experimental platform, in the light of the all-steel radial tire tread formula, according to the experimental results and using regression analysis method and analysis software, we completed the establishment of the dispersion mathematical model about the open mill rubber. And through the inspection and verification of the model, we know that the multiple correlation coefficient of the model was 0.773 and the level of significance of the t-statistic and F-statistic are less than 0.01, also the absolute error between the predicted value of this model and the measured value is less than 0.7. It shows that the model is quite significant and can be applied.

scholarly journals A MATHEMATICAL MODEL OF PAPER DRYING

2000 ◽  
Vol 5 (1) ◽  
pp. 26-31 ◽  
Author(s):  
J. Cepitis
Keyword(s):  
Mathematical Model ◽  
Moisture Content ◽  
Moisture Transfer ◽  
Paper Sheet ◽  
Paper Drying ◽  
First Order ◽  
Heat And Moisture ◽  
Article 5 ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on a detailed transport phenomena considering both heat and moisture transfer have been offered in the article [5]. We apply this model to quickly moving paper sheet. The range of the moisture content correspond to the period of drying and only vapor movement in the web is possible. By averaging we have obtained the desired model as a system of two nonlinear first order ordinary differential equations.

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