Approximate Single packet in Real Set and Its Application

• 1、School of Mathematics and Information engineering,Henan Polytechnic University JIAOZUO 454000

Abstract： The size of the real quantity is variable. But in the sense of relativity and temporariness, we can think that every real quantity has a certain size. The size of real quantities possess character of inaccurate to measure and to calculate. Ideal function represents the ideal correspondence between the real quantities. However, its numerical representation needs to be approximated by decimal approximation in a single packet. Dirichlet-function has no practical significance. The differential dx of independent variable is any positive sufficiently small variable whose limit is 0 +, also called dialectical variable. The strict method of solving the application problem of definite integral needs to consider the quantity as a function increment on an interval. The proof of the existence theorem of the primitive function can be simplified..

Keywords： Infinite Infinite decimal Cauchy Convergence Principle Function Differential Definite Integral