The Average Length Of Chords On Some Special Domain In Convex

The average chord length problems of convex domain, mainly is convex combination with integral geometry problems that occur and branch, with the chord-power integrals, making the application of geometric convex body becomes rich and varied problem. For example, in convex domain, we see the average distance between two points, kinematic measure, including measure, average chord length etc. But among the key part is chord-power integrals problem, this section is the focus of research, the paper mainly by specific examples for deductive reasoning.In view of the solution of these problems, conducing to reflect the geometric convex domain properties, we'll pass through some basic theoretical foundation, comprehensive related definitions, explore geometry problems processing methods. Of course, we want to use this method to solve practical problems have certain difficulty, because theorization knowledge object is simple convex domain, if changed the complex convex domain may problem is complicated, so be about meticulous research, according to the problems to solve embark on various consideration.Below the article, from the theoretical basis, step by step, specific discusses chord-power integrals problem. Practical applications, we through chord-power integrals this link to question sublimate arrives general method, and the new question the ingenious methods applications. Specific application, we should be flexible and diversified. This paper studies deepen convex theory in simple convex field application of direct, thus we can further our study into complex convex domain problem.Considering the average string long practical significance, we want to know what key is chord-power integrals calculation, combined with some examples, sort out research methods and summarizes the feasible conclusion.