The paper discuss revolutions of experimental mathematics to deductive mathematics，and clarifies meaning of epistemology and methodology of experimental mathematics. <br/>

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Nowadays with personality psychology becoming more and more pluralistic and synthetic，the following pairs of relative problems must be balanced in personality study:(1)personality is stability or change，(2) personality's structure and dimensions，(3) emphasizing on consequence or on process，and (4) the function of description or interpretation. In order to walk out there dilemmas，personality researchers have to integrate inhering theories first of all and:(1) construct a met a theory of personality;(2) combine personality study with others mental processes and the relative subjects;(3) make its methodology perfect and (4) consider social and culture factors in their researched.<br/>

A firm’s embeddedness in a network of ties is an important source of variation in the acquisition of competitive capabilities. Networks are more than just relationships that govern the diffusion of innovation and norms,they constitute capabilities that augment the value of firms.<br/>

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The innovation is a foundation of humanbeings’ development，and reflects the process of new technology transition into the commerce goods and services. However，w hat’s inside of the innovation and how it drives the industry upgrade are not very clear. This paper indicates the innovation machines一similar creating and true creating，and discusses the important functions of innovation，new demand，market structure，diversification .and entry in the evolution of the computer industry.<br/>

On the basis of author’s own experiences and observes&theoretical reflections，by using correct views of many historians for reference，this paper discusses comprehensively and thoroughly contents and implications of “four-dimension space一times" in historiography of science. "Four dimension space一times"signify substantial evidence’s dimension，rational dimension，intuitive dimension，and contextual dimension.The preservation of the essential tension between various dimensions also is expounded. The paper states clearly that this is a new，original，and effective research program in history of science.<br/>

In early 5th century AD，for deriving the cycle of the intercalary month in a calendar一making system，a numerical method was invented by Chinese Mathematician. With a constructed theorem，the author comes to a conclusion that this method，in a sense，equals to the algorithm of the continued fraction. A series convergent to any given number could be derived with this method. The result explains a fact，which has been verified being served as convergent to some constants，appeared in the texts of mathematics or astronomy in ancient China，but on evidence to show there was an algorithm of continued fraction in ancient China. By the use of this method，a possible way for deriving Zu Chongzhi’s value π=355/113 is demonstrated.<br/>

An excellent experimental physicist was bound to fall behind the tidy of scientific revolution. He figured out to turn to the Nazi，and stirred up among scientists. Eventually he lost all standing and reputation，became a person condemned by history.<br/>

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