Advanced Polytopic Projects (eBook)

Preface 7
Contents 10
Abbreviations 13
List of Figures 14
List of Tables 18
1 Polytopic Projects 19
1.1 Polytopic Method 19
1.1.1 Bricks and Levels 19
1.1.2 Duality and Complementarity 21
1.1.3 Closure 23
1.1.4 Center and Rhythms 26
1.1.5 Generic Models 28
1.1.6 General Theories 30
1.2 Polytopic Framework 33
1.2.1 Unifying and Diversifying 33
1.2.2 Advanced Polytopic Framework 36
References 41
2 Integration and Separation 45
2.1 Tree Structure 45
2.1.1 Rooted Trees 45
2.1.2 Ordered Trees 48
2.1.3 Organizational Trees 50
2.1.4 Dual Graded Graphs for Rooted Trees 52
2.1.5 Binary Trees and Hypercubes 54
2.2 Polytopic Separations 57
2.2.1 Rooted Tree Polytope 57
2.2.2 Batch Distillation Polytope 60
2.2.3 Pressure Swing Adsorption Polytope 63
2.2.4 Simulated Moving Bed Polytope 66
References 69
3 Structuring and Restructuring 71
3.1 Supramolecular Chemistry 71
3.1.1 Supramolecular Polytope 71
3.1.2 Higher Dimensions 75
3.2 Quasi-species 78
3.2.1 Hypercycles 78
3.2.2 Quasi-species Polytope 80
3.2.2.1 Sequence Space 80
3.2.3 Doubling and Contracting 82
3.3 Oriented Syntheses 84
References 86
4 Forward and Backward 88
4.1 Mixing and Growths 88
4.1.1 Mixing Processes 88
4.1.2 Growth Diagrams 92
4.2 Restricted Processes 96
4.2.1 Diagonal Rectangulations 96
4.2.2 Processes Intensification 99
4.2.3 Fractal or Constructal 103
References 105
5 Assimilation and Accommodation 108
5.1 Developmental Stages 108
5.1.1 Cognitive Development 108
5.1.2 Dynamic Skill Theory 111
5.2 Cognitive Architectures 115
5.2.1 Duality Features 115
5.2.2 Polytopic Architecture 118
References 125
6 Testing and Designing 129
6.1 Polytopic Designing 129
6.1.1 Learning Cycle 129
6.1.2 RDTE Polytope 132
6.1.3 Pharmaceutical Polytope 134
6.1.4 Model Driven Architecture 139
6.2 Design Hermeneutics 145
6.2.1 Hermeneutic Circle 145
6.2.2 Hermeneutical Polytope 147
References 151
7 Additive and Subtractive 153
7.1 Additive Manufacturing 153
7.1.1 Additive Technologies 153
7.1.2 Addition and Subtraction 157
7.1.3 4D Printing 160
7.2 Modular Reconfigurations 163
7.2.1 Hexagonal Configurations 163
7.2.2 High-Dimensional Configurations 164
References 169
8 Prospection and Retrospection 171
8.1 Smart Enterprises 171
8.1.1 Smart Factory 171
8.1.2 Reference Architectures 176
8.1.3 Generic Smart Grid Architecture Model 177
8.1.4 Generic Industry 4.0 Toolbox 186
8.2 Smart Technologies 190
8.2.1 NBIC 190
8.2.2 Leading Projects 195
8.3 Smart Society 196
8.3.1 Society 4.0 196
8.3.2 Society 5.0 199
References 202
Advanced Polytopic Projects 204
Appendix A: Dual Graded Graphs 206
Appendix B: Hopf Algebras 208
Index 211