摘要:
1. 微积开概念为作者在求解类星体问题中产生，本文介绍其产生背景，介绍了微积开的基本概念――微开、微对数、微根、定积开、微开方程、微对数方程、微根方程等，以及这些概念在物理、天体物理、动态几何、金融、人口统计等领域的意义与应用例子，在这些例子中微积开概念的优越性表现为联系问题的高效率。
2. 论述了对数量纲危机的解决办法。
3. 在相对论基础下严格地论证了引力红移应为 (下式中k为自然数)
原广义相对论引力红移公式是弱引力下的一阶近似公式。按本文的理论求解验证类星体 SDSS DR7 等数据，作出的类星体赫罗图，在密集的类星体区域中却有一条鸿沟，鸿沟的参数应与鸿沟二侧的类星体参数相近，但类星体却不会落入鸿沟，且二岸类星体光谱特性有明显差异，值得天文学家深入分析。
A new concept of microjikai is created by author in solving the problem of quasars. This paper introduces its creating background，and the related new concepts -- micro-square, micrologarithm, microroot, definitejikai, microsquare equation, micrologarithm equation，microroot equation etc. And the applications of these concepts in the fields of physics, astrophysics, dynamic geometry，finance，population statistics will show its advantage of high efficiency.
1. Discusses the solution it is solve dimensional crisis of logarithm.
2. Based on the theory of relativity，it can be strictly proved that the gravitational redshift is that
the original general relativity gravitational redshift formula is a first-order approximate formula under weak gravitational. According to the theory of solving the verification of quasars SDSS DR7 data，to make the quasar Hertzsprung Russell diagram，a gap can be found in the dense quasar region. And the gap parameters should be similar to divide both sides of the quasar parameters，but the quasars do not fall into the gap，it is worth deep analysis of astronomers.