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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.

List of time scales

Calculus

• $\Delta$-derivative
• $\Delta$-integration
• Dynamic Equations
• Laplace transform

Special Functions

• Polynomials
• Exponential functions
• Gamma function
• Hyperbolic functions
• Logarithms
• Trigonometric functions
• Gaussian bell