Difference between revisions of "Main Page"
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This wiki is a resource for people who do research in [[time_scale | time scale calculus]]. Time scale calculus is a unification and extension of differential and difference calculus in which one does calculus upon a set called a ''time scale'' $\mathbb{T}$. When [[Real_numbers | $\mathbb{T}=\mathbb{R}$]] the resulting theory is [http://en.wikipedia.org/wiki/Differential_calculus differential calculus] but when [[Multiples_of_integers | $\mathbb{T}=\mathbb{Z}$]] the resulting theory is [http://en.wikipedia.org/wiki/Difference_calculus difference calculus]. Time scales also include any closed subset of $\mathbb{R}$, so more exotic sets such as the [http://en.wikipedia.org/wiki/Cantor_set Cantor set] are also considered in the theory. | This wiki is a resource for people who do research in [[time_scale | time scale calculus]]. Time scale calculus is a unification and extension of differential and difference calculus in which one does calculus upon a set called a ''time scale'' $\mathbb{T}$. When [[Real_numbers | $\mathbb{T}=\mathbb{R}$]] the resulting theory is [http://en.wikipedia.org/wiki/Differential_calculus differential calculus] but when [[Multiples_of_integers | $\mathbb{T}=\mathbb{Z}$]] the resulting theory is [http://en.wikipedia.org/wiki/Difference_calculus difference calculus]. Time scales also include any closed subset of $\mathbb{R}$, so more exotic sets such as the [http://en.wikipedia.org/wiki/Cantor_set Cantor set] are also considered in the theory. | ||
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==Calculus== | ==Calculus== | ||
Revision as of 00:58, 4 July 2014
This wiki is a resource for people who do research in time scale calculus. Time scale calculus is a unification and extension of differential and difference calculus in which one does calculus upon a set called a time scale $\mathbb{T}$. When $\mathbb{T}=\mathbb{R}$ the resulting theory is differential calculus but when $\mathbb{T}=\mathbb{Z}$ the resulting theory is difference calculus. Time scales also include any closed subset of $\mathbb{R}$, so more exotic sets such as the Cantor set are also considered in the theory.
