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Wu (2010) h2‐index The highest number h(2) of articles that received at least [h(2)]2 citations. Kosmulski (2006) h‐index The highest number h of articles that each received h or more citations. Hirsch (2005) f‐index The highest number of articles that received f or more citations on average, where the average is calculated as the harmonic mean. Tol (2009) t‐index The highest number of articles that received t or more citations on average, where the average is calculated as the geometric mean. Tol (2009) ħ‐index The square root of half of the total number of citations. Miller (2006) s‐index Measures the deviation from a uniform citation record. Silagadze (2010) h T‐index The sum of weights images of the ith citation to the rth paper. Anderson et al. (2008) x‐index Maximum of the product of rank and citation frequency. Kosmulski (2007) A‐index Average number of citations received by the articles in the h‐core. Jin (2006) g‐index The highest number g of articles that together received g 2 or more citations. Egghe (2006c) m‐index The median number of citations received by the articles in the h‐core. Bornmann et al. (2008) h w‐index The square root of the total number S w of citations received by the highest number of articles that each received S w/h or more citations. Egghe and Rousseau (2008) R‐index The square root of the total number of citations received by the articles in the h‐core. Jin et al. (2007) π‐index The one‐hundredth of the total number of citations received by top square root of the total number of papers (“elite set of papers”). Vinkler (2009) e‐index Reflects excess citations of the h‐core that are ignored by the h‐index. Zhang (2009) hg‐index The geometric mean of the h‐ and g‐indices. hg‐index = images Alonso et al. (2010)

      Although the use of single metrics (based on bibliometric measurements) for the comparison of researchers has steadily gained popularity in recent years, there is an ongoing debate regarding the appropriateness of this practice. The question is whether single measures of research performance are sufficient to quantify such complex activities. A report by the Joint Committee on Quantitative Assessment of Research argues strongly against the use of citation metrics alone as a tool in the field of mathematics. Rather, the committee encourages the use of more complex methods for judging the impact of researchers; for example, using evaluation criteria that combines citation metrics with other relevant determinants, including membership on editorial boards, awards, invitations, or peer‐review activities (Adler et al. 2008). Along these lines, Egghe (2007) stated earlier, “The reality is that as time passes, it's not going to be possible to measure an author's performance using just one tool. A range of indices is needed that together will produce a highly accurate evaluation of an author's impact.” Shortly thereafter, Bollen et al. (2009) offered empirical verification of Egghe's intuitive hypothesis. Based on the results of a principal component analysis (PCA) on a total number of 39 existing indicators of scientific impact, an argument was made that ideal scientific impact should be multidimensional and cannot be effectively measured by a single numeric indicator.

      An important


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