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Figure 2 | Advances in Difference Equations

Figure 2

From: Curvature of curves parameterized by a time scale

Figure 2

Diamond-tangent line at the isolated point of the curve α . Therefore, \(\gamma(t_{0})=\frac{\sigma(t_{0})-t_{0}}{\sigma(t_{0})-\rho(t_{0})}\), and \(\alpha^{\Diamond}(t_{0}) = \frac{\sigma(t_{0})-t_{0}}{\sigma(t_{0})-\rho(t_{0})} \alpha^{\Delta}(t_{0})+\frac{t_{0}-\rho(t_{0})}{\sigma(t_{0}) -\rho(t_{0})}\alpha^{\nabla}(t_{0})\).

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