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The talk will conclude with some real world applications . Your only choice is : Do you want to be ahead of the curve , or behind it ? This area has been forced to rely on private contributions.There have also been changes in some of the support staff . A complexification of such a curve is available , when the curve is real algebraic . Finally , the multi-scan option lets you scan multiple photos at once and the advanced mode button allows you to select more options ( resolution , etc ) . Abstract : A polygon in the plane that has no self-crossings separates the plane into three parts : inside , on , and outside the curve . In fact , many of the strongest results in this area in the last few decades are examples of this method .