Mathematical and computational methods are expected to play a major role in nanoscience and nanoengineering. Mathematics and computation can provide effective theory and simulations for analysis and interpretation of experimental results, model-based prediction of nanoscale phenomena, and design and control of nanoscale systems.
Reminds me of: 'In theory, theory and practice agree. In practice they do not'
I would always believe one well-conducted experiment over one paper with more Greek letters than an Athens post-office.....
Reminds me of: 'In theory, theory and practice agree. In practice they do not'
I would always believe one well-conducted experiment over one paper with more Greek letters than an Athens post-office.....
This is quite a physical approach. First of all, let we create a theory, and then look for its experimental evidence. In my opinion, it is necessary to act on the contrary, first to see "how everything happens there", and then look for an explanation for this.
For control of real-world processes, quite often a calculator and/or spreadsheet are enough.
The intricacies of "rigorous" theories simply become meaningless because the implicit assumptions cannot possibly be met. For example, in many colloidal theories, the concept of kappa-a comes up and is very important. But a refers to the radius of the sphere. Real-world products rarely have particles resembling spheres. Indeed, the nature of real-world particles is often unknown. So, the finer points of the theories are useless.
In theory, theory and practice agree. In practice "they do", and "they do not". The "they do not" is a "thin line" between theory and practice.
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