Dadim
Frequently Asked Questions
multiscale calculus?
Dadim |
Frequently Asked Questions |
| What is 大? | 大 is a chinese character pronounced "da". Da means big and serves as a logo for the Dadim project and as a mathematical operator in multiscale calculus. |
| What is Dadim? | Dadim is an implementation of the multiscale calculus. It aims for a simple and usable toolbox for the expression of numerical algorithms on virtually continous domains, such as finite differences, image processing and wavelet expansions. Main focus is put on efficiency in high dimensions. |
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What is multiscale calculus? |
Multiscale calculus is a combination of multiresolution analysis and lambda calculus. It is based on three operators for translation (T), dilatation (Z) and evaluation (大). Thereby it reproduces mathematical functions and calculus while providing simple and straight forward computer implementations. |
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What is this? |
This is 大 with a doubled second stroke. It indicates the set of all objects to which the 大 operator can be applied. The set is in some sense isomorph to the set of functions on continuous domains, like Rn. It is mathematically referred to as the "dadim set", or simply pronounced as "dim". |
| What are the applications? | The largest part of research was devotet to quantitive finance and stochastic processes. This is currently the main application, since prevailing algebraic and numeric methods are rather weak and of little generality. However, other operator based mathematical frameworks can surely be supported by a good algorithmic representation of functions and operators. |
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