Authorship: "Law" and Order

Lotka’ s Law, Co-authorship and Interdisciplinary Publishing

The robustness or breakdown of Lotka’s law about the frequency distribution of scientific productivity depends on scientific cooperation, counting methods, interdisciplinary publishing and selection methods for sample collections. We have chosen to analyse the relationship using Mandelbrot’s equivalent distribution model because this model is sensitive and uses the original data (scores). Five ...

Reflections on Determining Authorship Credit and Authorship Order on Faculty-Student Collaborations

The purpose of this article is to explore the process of determining authorship credit and authorship order on collaborative publications with students. The article presents hypothetical cases that describe relevant ethical issues, highlights ethical principles that could provide assistance in addressing these dilemmas, and makes recommendations to faculty who collaborate with students on schol...

Sanctions, Law and Public Order

Order Statistics and Benford's Law

Fix a base B > 1 and let ζ have the standard exponential distribution; the distribution of digits of ζ base B is known to be very close to Benford’s law. If there exists a C such that the distribution of digits of C times the elements of some set is the same as that of ζ, we say that set exhibits shifted exponential behavior base B. Let X1, . . . , XN be i.i.d.r.v. If the Xi’s are Unif, then as...

Law and order in algorithmics

LAW and ORDER in ALGORITHMICS An algorithm is the input-output effect of a computer program; mathematically, the notion of algorithm comes close to the notion of function. Just as arithmetic is the theory and practice of calculating with numbers, so is ALGORITHMICS the theory and practice of calculating with algorithms. Just as a law in arithmetic is an equation between numbers, like a(b + c) =...