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'Et moi, ... , si j"avait su comment en revenir, One service mathematics bas rendered the je n'y seWs point alit: human race. It bas put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
List of contents
1. Introduction.- Symbols used in the figures.- 2. Particle Size Distribution of Ground Material.- Definition of specific surface.- Summary of Chapter 2.- Symbol nomenclature in Chapter 2.- 3. The State Space Equations of Batch Grinding.- Determination of the elements of the comminution (size distribution) matrix.- Determination of the elements of breakage rate matrix.- Solution of the state equations.- Connection between the classical theory of grinding and the state equations.- Calculation of the specific surface.- Summary of Chapter 3.- Symbol nomenclature in Chapter 3.- 4. Modelling of Open Circuit Grinding.- Summary of Chapter 4.- Symbol nomenclature in Chapter 4.- 5. Material Flow Models of Closed Circuit Grinding.- Macrostructural models.- Dynamic particle size distribution models.- Summary of Chapter 5.- Symbol nomenclature in Chapter 5.- 6. Mathematical Model of the Classifier.- Problems of modelling the specific surface of the final product.- Summary of Chapter 6.- Symbol nomenclature in Chapter 6.- 7. Dynamic Models of the Chemical Composition of Ground Materials.- Modelling of homogenizing silos.- Batch silo.- Continuous silo.- Summary of Chapter 7.- Symbol nomenclature in Chapter 7.- 8. Advanced Control Systems for Grinding.- Composition control.- Control of the quantity produced.- Fineness control.- Summary of Chapter 8.- Symbol nomenclature in Chapter 8.- References.
