分类:Sci-Tech Linkage

来自Big Physics
Jinshanw讨论 | 贡献2021年11月26日 (五) 21:18的版本 →‎direct linkage


This page has a Chinese version as 科学技术关联

Research Questions

Given a patent sector, knowing how other patent sectors and scientific fields support this particular sector, and vice versa, how other patent sectors and scientific fields are supported by this particular sector, can be helpful for decision making on how to develop or exploit this particular sector.

Similarly, given a scientific field, knowing how other scientific fields and patent sectors support this particular field, and vice versa, how other scientific fields and patent sectors are supported by this particular field, can also be helpful for decision making on how to develop and exploit this scientific field.

It is not only for individual researchers and developers that answers to those questions can be informative, but also to policy makers and administrators in science and technology of enterprises or of a nation.

So, do we have method of analysis to answer those questions?

direct linkage

One of the analysis can be a simple statistical analysis of the sci-tech matrix [math]\displaystyle{ X=\left(x^{i}_{j}\right)_{\left(N+M\right)\times\left(N+M\right)} }[/math], where there are N science fields denoted as [math]\displaystyle{ i,j }[/math] specifically and [math]\displaystyle{ a,b }[/math] generally and abstractly, and M patent sectors denoted as [math]\displaystyle{ \mu,\nu }[/math]specifically and [math]\displaystyle{ \alpha, \beta }[/math] generally and abstractly. Here a specific element [math]\displaystyle{ x^{i}_{j} }[/math] means the number of citations from papers/patents in class j to those of class i, ie, j citing i, or we say, i goes into and thus support j.

It can also be denoted respectively as [math]\displaystyle{ \begin{bmatrix}x^{a}_{b} & x^{a}_{\alpha}\\ x^{\alpha}_{a} & x^{\alpha}_{\beta}\end{bmatrix} }[/math], or sometimes in a sub matrix form [math]\displaystyle{ \begin{bmatrix}S & ST\\ TS & T\end{bmatrix} }[/math].

A direct linkage is defined to be the following matrix [math]\displaystyle{ A }[/math], where [math]\displaystyle{ A^{i}_{j}=\frac{x^{i}_{j}}{X^{j}=\sum_{k}x^{j}_{k}} }[/math].

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