Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Mathematical reflections on modified fractional counting
View through CrossRef
Abstract
We make precise what is meant by stating that modified fractional counting (MFC) lies between full counting and complete-normalized fractional counting by proving that for individuals, the MFC values are weighted geometric averages of these two extremes. There are two essentially different ways to consider the production of institutes in multi-institutional articles, namely participation and actual number of contributions. Starting from an idea published by Sivertsen, Rousseau and Zhang in 2019, we present three formulas for measuring the production of institutes in multi-institutional articles. It is shown that the one proposed by Sivertsen, Rousseau and Zhang is situated between the two other ways. Less obvious properties of MFC are proven using the majorization order.
Title: Mathematical reflections on modified fractional counting
Description:
Abstract
We make precise what is meant by stating that modified fractional counting (MFC) lies between full counting and complete-normalized fractional counting by proving that for individuals, the MFC values are weighted geometric averages of these two extremes.
There are two essentially different ways to consider the production of institutes in multi-institutional articles, namely participation and actual number of contributions.
Starting from an idea published by Sivertsen, Rousseau and Zhang in 2019, we present three formulas for measuring the production of institutes in multi-institutional articles.
It is shown that the one proposed by Sivertsen, Rousseau and Zhang is situated between the two other ways.
Less obvious properties of MFC are proven using the majorization order.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Increasing familiarity with the heartbeat counting task does not affect performance
Increasing familiarity with the heartbeat counting task does not affect performance
Background: Interoception is typically defined as the processing and perception of internal signals. A common evaluation of interoceptive abilities is via the perception of heartbe...
On Λ-Fractional fluid mechanics
On Λ-Fractional fluid mechanics
Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule d...
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
In this paper fractional variational inequality problems (FVIP) and dual fractional variational inequality problems (DFVIP), Fractional minimization problems are defined with the h...
Λ-fractional Analysis. Basic Theory and Applications
Λ-fractional Analysis. Basic Theory and Applications
Fractional Analysis is a mathematical method based on different principles from those governing the well-known mathematical principles of differential and integral calculus. The ma...
INNOVATIVE TECHNOLOGIES IN MATHEMATICS EDUCATION
INNOVATIVE TECHNOLOGIES IN MATHEMATICS EDUCATION
The introduction of the competence model of Mathematics education involves the actualization of personal and activity factors of development of subjects of the educational process,...
Gohar Fractional Derivative: Theory and Applications
Gohar Fractional Derivative: Theory and Applications
The local fractional derivatives marked the beginning of a new era in fractional calculus. Due to their that have never been observed before in the field, they are able to fill in ...
Dynamical analysis of linear SDOF oscillator with fractional-order derivative (Ⅱ)
Dynamical analysis of linear SDOF oscillator with fractional-order derivative (Ⅱ)
A linear single degree-of-freedom (SDOF) oscillator with two kinds of fractional-order derivatives is investigated by the averaging method, and the approximately analytical solutio...