Mathematics in Computational Science and Engineering

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MATHEMATICS IN COMPUTATIONAL SCIENCE AND ENGINEERING
This groundbreaking new volume, written by industry experts, is a must-have for engineers, scientists, and students across all engineering disciplines working in mathematics and computational science who want to stay abreast with the most current and provocative new trends in the industry.
This groundbreaking new volume: Includes detailed theory with illustrations Uses an algorithmic approach for a unique learning experience Presents a brief summary consisting of concepts and formulae Is pedagogically designed to make learning highly effective and productive Is comprised of peer-reviewed articles written by leading scholars, researchers and professors AUDIENCE:

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8 Chapter 10Figure 10.1 Mathematical topics covered.Figure 10.2 Cost function.Figure 10.3 Various types of losses.Figure 10.4 Statistical concepts.Figure 10.5 Descriptive statistics.Figure 10.6 Data visualizations.Figure 10.7 Work flow of building an artificial intelligence model.Figure 10.8 Steps of processing the dataset.Figure 10.9 Application areas.Figure 10.10 Trending areas.

9 Chapter 12Figure 12.1 An elementary representation of the world’s scientific method is con...Figure 12.2 The conceptual approach to creating a model relates to the developme...Figure 12.3 A socioeconomic model can be constructed based on issues related to ...Figure 12.4 Some fields related to fuzzy logic and fuzzy set theory [2, 3, 5].Figure 12.5 The working process of the air conditioner [21].Figure 12.6 Use of fuzzy logic for decision making during car driving [18].

10 Chapter 13Figure 13.1 An overview of recommendation techniques [13].Figure 13.2 Content-based filtering technique [5].Figure 13.3 Collaborative filtering technique [5].

11 Chapter 14Figure 14.1 Screenshot for the shear capacity prediction program.Graph 14.1 The comparison of testing result for Neural Networks.Graph 14.2 The comparison of testing result for Genetic Programming.Graph 14.3 Coefficient of determination (the results of ANN).Graph 14.4 Coefficient of determination (the results for GEP).

12 Chapter 16Figure 16.1 (a) Concrete beam specimen. (b) Three small holes in sound steel rei...Figure 16.2 Raw magnetic field data from the surface of the drilled reinforced c...Figure 16.3 Raw magnetic field data from the surface of sound reinforced concret...Figure 16.4 Eigensignals of sound steel reinforcement.Figure 16.5 Eigensignals of drilled steel reinforcement.Figure 16.6 Subtraction of Eigensignal from threshold Eigensignal. Red line show...

13 Chapter 17Figure 17.1 Flow diagram of EGPLC model.Figure 17.2 Pictorial representation of EGPLC.Figure 17.3 Stability of deterministic EGPLC model.Figure 17.4 Stochastic of EGPLC model.

14 Chapter 18Figure 18.1 The circuit diagram.Figure 18.2 Lyapunov exponents of the Modified Colpitts oscillator. (a) The Lyap...Figure 18.3 Portrait of Colpitts. (a) Chaotic nature between x 1and x 2. (b) Poin...Figure 18.4 The parameter estimation of the modified Colpitts oscillator.Figure 18.5 The stability of the modified Colpitts oscillator.Figure 18.6 Synchronization of the modified colpitts oscillator. (a) Synchroniza...Figure 18.7 Error dynamics of chaotic colspitts oscillator.Figure 18.8 Synchronization of identical modified Colpitts oscillator, error plo...Figure 18.9 Op amp circuit diagram of chaotic variable x 1.Figure 18.10 Op amp circuit diagram of chaotic variable x 2.Figure 18.11 Op amp circuit diagram of chaotic variable x 3.Figure 18.12 Op amp circuit diagram of chaotic variable x 4.

List of Table

1 Chapter 2 Table 1.1 Effect of Q at various price. Table 1.2 Optimal instantaneous demand solution of the order policy. Table 1.3 Optimal results of the Inventory in Various Parameters Table 1.4 Optimum results of the ordering processes. Table 1.5 Optimum results of the number of integer cycles. Table 1.6 Optimum results of the effective lead time. Table 1.7 Optimal solution of the TCU(Y). Table 1.8 Optimum results of the reorder in Le D . Table 1.9 The optimal results of the inventory in trapezoidal rule.

2 Chapter 3Table 3.1 Fuzziness of elements in F .

3 Chapter 4Table 4.1 Intuitionistic fuzzy rough sets.Table 4.2 Applications of Intuitionistic fuzzy rough sets.

4 Chapter 5Table 5.1 Statistical summary.Table 5.2 Correlation matrix of dependent (PM 2.5) and independent parameters.Table 5.3 Details of regression models.

5 Chapter 7Table 7.1 Flow value of control mortar.Table 7.2 Flow value of mortar with nano silica.Table 7.3 Flow value of admixture with nano alumina.Table 7.4 Flow value of cement mortar with nano Zinc oxide.Table 7.5 Flow value of admixture with PVA.Table 7.6 Flow value of admixture with nano silica + PVA.Table 7.7 Flow value of admixture with nano alumina + PVA.Table 7.8 Flow value of admixture with nano ZnO + PVA.Table 7.9 Flow value of admixture with nano alumina + nano silica + PVA.

6 Chapter 8Table 8.1 Ground state structural properties of transition metal-based Li half-H...Table 8.2 Elastic properties of transition metal-based Li-half-Heusler alloys.Table 8.3 Energy band gap (eV) of transition metal-based Li half-Heusler compoun...Table 8.4 Thermodynamic properties of transition metal-based Li half-Heusler all...

7 Chapter 13Table 13.1 User-movie rating matrix.Table 13.2 Number coding of web pages for CTI dataset.Table 13.3 Web navigational dataset.Table 13.4 Similarity matrix for the sequences.Table 13.5 Sample response matrix for User.Table 13.6 Recommendations based on weight.

8 Chapter 14Table 14.1 Data range of model parameters.Table 14.2 Statistical data for the selected model.Table 14.3 Statistical data for the selected model.Table 14.4 List of the parameters of the model developed.Table 14.5 Model comparison.

9 Chapter 16Table 16.1 Geometry information for the three holes in the steel reinforcement.

10 Chapter 18Table 18.1 LEs of system (1) for observation time ( T ) = 500, sampling time (Δ t ) ...

Guide

1 Cover

2 Table of Contents

3 Title Page

4 Copyright

5 Dedication

6 Preface

7 Begin Reading

8 Index

9 Also of Interest

10 End User License Agreement

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