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. | ||
| + | ==Calculus== | ||
*[[delta_derivative | $\Delta$-derivative]] | *[[delta_derivative | $\Delta$-derivative]] | ||
*[[delta_integral | $\Delta$-integration]] | *[[delta_integral | $\Delta$-integration]] | ||
*[[dynamic_equations | Dynamic Equations]] | *[[dynamic_equations | Dynamic Equations]] | ||
| + | *[[laplace_transform | Laplace transform]] | ||
| + | |||
| + | ==Special Functions== | ||
| + | *[[polynomials | Polynomials]] | ||
*[[exponential_functions | Exponential functions]] | *[[exponential_functions | Exponential functions]] | ||
*[[gamma_functions | Gamma function]] | *[[gamma_functions | Gamma function]] | ||
| − | |||
*[[hyperbolic_functions | Hyperbolic functions]] | *[[hyperbolic_functions | Hyperbolic functions]] | ||
| − | |||
*[[logarithms | Logarithms]] | *[[logarithms | Logarithms]] | ||
| − | |||
*[[trig_functions | Trigonometric functions]] | *[[trig_functions | Trigonometric functions]] | ||
| + | *[[gaussian_bell | Gaussian bell]] | ||
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.
