Difference between revisions of "Delta derivative of the delta integral"
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(Created page with "==Theorem== The following formula holds: $$\left( \int_{t_0}^x f(\tau) \Delta \tau) \right)^{\Delta} = f(x).$$ ==Proof== ==References== Category:Theorem Category:Unpr...") |
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==Theorem== | ==Theorem== | ||
The following formula holds: | The following formula holds: | ||
− | $$\left( \ | + | $$\left( \int_s^t f(\tau) \Delta \tau \right)^{\Delta} = f(t),$$ |
+ | where $\int$ denotes the [[delta integral]] and $\Delta$ denotes the [[delta derivative]]. | ||
==Proof== | ==Proof== |
Latest revision as of 02:48, 17 November 2016
Theorem
The following formula holds: $$\left( \int_s^t f(\tau) \Delta \tau \right)^{\Delta} = f(t),$$ where $\int$ denotes the delta integral and $\Delta$ denotes the delta derivative.