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Produktbild: Mathematical Modeling for Computer Applications

Mathematical Modeling for Computer Applications

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.10.2024

Herausgeber

Biswadip Basu Mallik + weitere

Verlag

Wiley

Seitenzahl

576

Gewicht

1089 g

Sprache

Englisch

ISBN

978-1-394-24840-7

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.10.2024

Herausgeber

Verlag

Wiley

Seitenzahl

576

Gewicht

1089 g

Sprache

Englisch

ISBN

978-1-394-24840-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Mathematical Modeling for Computer Applications
  • Preface xxi

    1 Fermatean Fuzzy Entropy Measure with Application in Decision Making Using COPRAS Approach 1
    Mansi Bhatia, H. D. Arora, Anjali Naithani and Vijay Kumar

    1.1 Introduction 2

    1.2 Preliminaries 4

    1.3 Novel Fermatean Entropy Measure 5

    1.4 Application of Entropy Measure Through COPRAS 7

    1.5 Comparative Analysis 12

    1.6 Conclusion 13

    References 13

    2 Some Properties of Cartesian and Lexicographic Products of Soft Graphs 17
    Jinta Jose, Bobin George and Rajesh K. Thumbakara

    2.1 Introduction 17

    2.2 Soft Graphs 18

    2.3 Some Properties of Cartesian and Restricted Cartesian Products of Soft Graphs 20

    2.4 Some Properties of Lexicographic and Restricted Lexicographic Products of Soft Graphs 23

    2.5 Conclusion 26

    References 26

    3 Advancements in Enhancing Car Object Detection in Complex and Adverse Environmental Conditions Through Deep Learning Techniques 29
    Rejuwan Shamim, Biswadip Basu Mallik and Trapty Agarwal

    3.1 Introduction 30

    3.2 Literature Review 33

    3.3 Methodology 35

    3.4 Result 44

    3.5 Discussion 49

    3.6 Conclusion 54

    References 57

    4 Approximation by Durrmeyer Type Operators Using Polya Distribution 61
    Prerna Sharma and Diwaker Sharma

    4.1 Introduction 61

    4.2 Basic Outcomes 63

    4.3 Direct Results 65

    4.4 Discussion 73

    Disclaimer 73

    References 73

    5 Solution of Pollutant Dispersion in Porous Medium Under Linear Sorption Using Finite Element Method 75
    Rashmi Radha, Tapan Paul, Rakesh Kumar Singh, Nav Kumar Mahato and Mritunjay Kumar Singh

    5.1 Introduction 76

    5.2 Mathematical Formulation 77

    5.3 Numerical Derivation of the Proposed Model Problem by FEM Method 79

    5.4 Analytical Derivation of the Proposed Model Equation 81

    5.5 Results and Discussion 83

    5.6 Conclusion 87

    References 88

    6 A Comparative Analysis of Fuzzy and Neutrosophic Database Models in Handling Imprecise Queries 91
    Doyel Sarkar and Sharmistha Ghosh

    6.1 Introduction 92

    6.2 Basic Definitions 93

    6.3 Processing Imprecise Query using Fuzzy and Neutrosophic Sets 94

    6.4 Results and Discussion 98

    6.5 Concluding Remarks 98

    References 99

    7 Tweaked Portfolio Estimation Regarding Indian Securities Exchange: An Empirical Study 101
    Abhijit Biswas and Meghdoot Ghosh

    7.1 Introduction 102

    7.2 Literature Review in Financial Market 102

    7.3 Method 103

    7.4 Results 107

    7.5 Discussion 116

    References 116

    8 Fixed Point Results Related to Graph Theory 117
    Aditya Bhattacharya, Özen Özer, Sonendra Gupta, Ramakant Bhardwaj and Sonam

    8.1 Introduction 117

    8.2 Preliminaries 118

    8.3 Main Results 119

    References 128

    9 Unleashing GPT-3's Potential in Automatic Text Generation: A Comprehensive Study and Analysis 131
    Rejuwan Shamim and Biswadip Basu Mallik

    9.1 Introduction 132

    9.2 Literature Review 133

    9.3 Methodology 135

    9.4 Evaluation Metrics 140

    9.5 Experimental Results 143

    9.6 Discussion 147

    9.7 Exploration of the Strengths and Weaknesses of GPT-3 for Automatic Text Generation 148

    Conclusion 150

    References 151

    10 Optimization Techniques and Their Applications in Science and Engineering 153
    Ravi Kiran Bagadi, Eali Stephen Neal Joshua, T. Pavankumar, S. NagaMallik Raj and Debnath Bhattacharyya

    10.1 Introduction 154

    10.2 Related Work 159

    10.3 Metaheuristic Optimization Techniques 167

    10.4 Multi-Objective Optimization 172

    10.5 Stochastic Optimization 176

    10.6 Robust Optimization 180

    10.7 Applications of Robust Optimization in Science and Engineering 182

    10.8 Applications of Optimization Techniques in Science and Engineering 183

    10.9 Challenges and Future Directions in Optimization 189

    Conclusion 194

    References 195

    11 On Sum 3-Equitable Labeling of Some Graphs 197
    Sarang Sadawarte and Sweta Srivastav

    11.1 Introduction 197

    11.2 Terminology and Notation 198

    11.3 Results 199

    11.4 Conclusions and Perspectives 205

    References 205

    12 An Application of Invariant Point Theory in G-Metric Spaces with Special Emphasis on Alpha-Psi Contraction 207
    Samriddhi Ghosh, Sonam, Deb Sarkar, Poulami Halder and Ramakant Bhardwaj

    12.1 Introduction 207

    12.2 Elementaries 210

    12.3 Main Result 211

    Acknowledgement 216

    Collision of Interest 216

    References 217

    13 Fixed Point Results for Compatible Mapping of Type (¿) in Fuzzy Metric Spaces 219
    Poulami Halder, Samriddhi Ghosh, Ramakant Bhardwaj, Sonam and Satyendra Narayan

    13.1 Introduction 219

    13.2 Preliminaries 220

    13.3 Compatible Mappings of Type (¿) 222

    13.4 Main Results 223

    Acknowledgement 229

    Conflict of Interest 229

    References 229

    14 Combined Matrices Associated with Soft Digraphs 231
    Bobin George, Jinta Jose and Rajesh K. Thumbakara

    14.1 Introduction 231

    14.2 Soft Digraphs 232

    14.3 Combined Adjacency Matrix of a Soft Digraph 234

    14.4 Combined Incidence Matrix of a Soft Digraph 236

    14.5 Conclusion 238

    References 238

    15 Refining Medical Text Query Responses: Tailoring Hugging Face's BERT Model for Precise and Swift Medical Question Answering 241
    Rejuwan Shamim, Badria Sulaiman Alfurhood and Biswadip Basu Mallik

    15.1 Introduction 242

    15.2 Related Work 244

    15.3 Methodology 248

    15.4 Result 253

    15.5 Strengths and Weaknesses of the Fine-Tuned BERT Model 255

    15.6 Applications 257

    15.7 Conclusion 258

    References 260

    16 Machine Learning Mathematics: A Study on Concepts of Processing Knowledge 263
    Prasad Kaviti, Eali Stephen Neal Joshua, N. Venkatram, Dinesh Reddy and Debnath Bhattacharyya

    16.1 Introduction 264

    16.2 Mathematical Concepts in Machine Learning 264

    16.3 Conclusion 299

    Disclaimer 299

    References 299

    17 Nature-Inspired Algorithms to Optimize the Hyper-Parameters of Deep-Learning Networks for Diagnosing Brain Disorders - A Review 301
    Manoj Kumar Sharma, M. Shamim Kaiser and Kanad Ray

    17.1 Introduction 302

    17.2 Literature Review 303

    17.3 Applications 307

    17.4 Challenges and Future Directions 309

    17.5 Conclusions and Perspectives 312

    References 312

    18 YOLOv8 for Anomaly Detection in Surveillance Videos: Advanced Techniques for Identifying and Mitigating Abnormal Events 317
    Rejuwan Shamim, Badria Sulaiman Alfurhood, Trapty Agarwal and Biswadip Basu Mallik

    18.1 Introduction 318

    18.2 Overview of YOLOv8 and its Advantages in Object Detection 319

    18.3 Related Work 321

    18.4 YOLOv8 Architecture 324

    18.5 Dataset Preparation 327

    18.6 Training YOLOv8 for Anomaly Detection 330

    18.7 Evaluation Metrics 332

    18.8 Results and Discussion 334

    18.9 Conclusion 343

    References 346

    19 Linear Stability and Resonance of Oblate Infinitesimal in the Nearby Region of Triangular Equilibrium Points for Triaxial Primaries in the Elliptic Restricted Three Body Problem 351
    Shilpi Dewangan, A. Narayan and Poonam Duggad

    19.1 Introduction 352

    19.2 Equation of Motion 353

    19.3 Position of Triangular Equilibrium Points 355

    19.4 Normalization at Hamiltonian for Stability of First Order 356

    19.5 Resonance Cases 366

    19.6 Conclusion 368

    References 370

    20 Magnetic Nanofluid Flow with MicröOrganisms and Viscous Dissipation 373
    Shweta Mishra, Sharmistha Ghosh and Hiranmoy Mondal

    Nomenclature 374

    20.1 Introduction 375

    20.2 Mathematical Exploration 376

    20.3 Similarity Transformation 378

    20.4 Heat-Mass Transferal 379

    20.5 Discussion of Results 380

    20.6 Conclusion 384

    References 384

    21 The Application of Deep Learning to the Localization of Brain Tumors 387
    Charanarur Panem, Srinivasa Rao Gundu, J. Vijaylaxmi and Biswadip Basu Mallik

    21.1 Introduction 388

    21.2 Proposed Method 389

    21.3 Conclusion 395

    Acknowledgement 395

    References 395

    22 Contextual Information Retrieval using Root Word Stemming in Indian Languages 397
    Chandamita Nath and Bhairab Sarma

    22.1 Introduction 397

    22.2 Literature Review 399

    22.3 Problem Statement 399

    22.4 Experimental Work 400

    22.5 Conclusion and Future Work 402

    Disclaimer 403

    References 404

    23 Recent Advances in Object Detection Based on YOLO-V 4 and Faster RCNN: A Review 405
    Anwesa Das, Atanu Nandi and Ishani Deb

    23.1 Introduction 406

    23.2 Literature Review 407

    23.3 Proposed Methodology 409

    23.4 Result and Discussion 413

    23.5 Conclusion 416

    References 417

    24 Detection of Leukemia Using Transfer Learning 419
    Biplab Kanti Das, Chanchal Ghosh, Joydeb Sheet and Himadri Sekhar Dutta

    24.1 Introduction 420

    24.2 Literature Survey 421

    24.3 Dataset 423

    24.4 Proposed Methodology 424

    24.5 Pre-Processing of Image 425

    24.6 Deep Learning Model Generation 426

    24.7 Classification 430

    24.8 Results and Analysis 430

    24.9 Conclusion and Future Direction 434

    References 434

    25 IoMT - An ML-Based Patient Monitoring System with Prediction of Health Condition 437
    Kakali Das, Sagnik Ghosh and Himadri Sekhar Dutta

    25.1 Introduction 438

    25.2 System Architecture 440

    25.3 Machine Learning Algorithm 443

    25.4 Results and Discussion 444

    25.5 Conclusion 449

    References 449

    26 Eulerian Soft Graphs 453
    Jinta Jose, Bobin George and Rajesh K. Thumbakara

    26.1 Introduction 453

    26.2 Soft Graphs 454

    26.3 Eulerian Soft Graphs 454

    26.4 Conclusion 460

    References 461

    27 An Algorithm to Solve an Exponential Diophantine Equation 463
    Subramani K. and Srinivasa Prasanna

    27.1 Introduction 464

    27.2 Example 466

    27.3 Conclusion 475

    Acknowledgements 475

    References 475

    28 Optimal Number of Emergency Facility and Its Positioning Using Nature-Based Algorithm: A Case of Mumbai City 477
    K.V. Ajaygopal and Rakesh Verma

    28.1 Introduction 478

    28.2 Literature Review 479

    28.3 Real-Life Application 484

    28.4 Results and Discussion 487

    28.5 Conclusion 489

    References 490

    Appendix 492

    29 Chicken Swarm Optimization Algorithm-Based Propagation Delay Estimation in Transmission Path of UWASN 501
    A. Kannappan and R.M. Bommi

    29.1 Introduction 502

    29.2 General Biology Behavior of Chicken Swarm 503

    29.3 Chicken Swarm Pseudocode 506

    29.4 Results and Discussion 507

    29.5 Conclusion 508

    References 509

    30 Frequency Analysis of Coreference Resolution 513
    Mridusmita Das and Apurbalal Senapati

    30.1 Introduction 514

    30.2 Existing Literature 515

    30.3 Resource Building for the English and Assamese Languages 517

    30.4 Description of the Data Sets 517

    30.5 Frequency Analysis of Coreference Relations 518

    30.6 Experiment and Result 520

    30.7 Conclusion 520

    References 520

    31 Hate Neologism in Election Context in India 523
    Sujit Das and Apurbalal Senapati

    31.1 Introduction 524

    31.2 Related Work 525

    31.3 Corpus Creation 526

    31.4 Methodology 528

    31.5 Result 529

    31.6 Conclusion 530

    References 530

    Index 533