Representation, handling and recognition of mathematical objects: State of the art

Mathematical language was developed by mathematicians in order to facilitate mathematical knowledge communication. It will be more interesting if we can use the same language for the human - machine communication. This requires an adequate representation, manipulation and recognition of the two dimensional structure of mathematical notation between human and machine. In this paper, we try to define, present, and modify mathematical objects. It presents a short review on standards and systems of presentation, engineering and approaches of physical and logical segmentations, detection systems and methods of mathematical objects isolated or inserted in text, structures and methods of representation for different recognition approaches. We focus on the description of the process of structural recognition.