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► The full lecture was given at an American Mathematical Society conference in Richmond, Virginia, November 7, 2010.
► View article: http://www.researchgate.net/publication/45916538_On_a_Relation_Between_the_Integral_Image_Algorithm_and_Calculus
We introduce new semi-discrete versions of the derivative and the line integral, discuss their relation to classical Calculus, and apply them to generalize the fundamental theorem of Calculus in the plane.