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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.
  
[[time_scale | List of time scales]]
 
  
==Calculus==
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 +
==Calculus on time scales==
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*[[time_scale | List of time scales]]
 
*[[delta_derivative | $\Delta$-derivative]]
 
*[[delta_derivative | $\Delta$-derivative]]
 
*[[delta_integral | $\Delta$-integration]]
 
*[[delta_integral | $\Delta$-integration]]
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*[[laplace_transform | Laplace transform]]
 
*[[laplace_transform | Laplace transform]]
  
==Special Functions==
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==Special functions on time scales==
 
*[[polynomials | Polynomials]]
 
*[[polynomials | Polynomials]]
 
*[[exponential_functions | Exponential functions]]
 
*[[exponential_functions | Exponential functions]]

Revision as of 00:59, 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.


Calculus on time scales

Special functions on time scales