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inter-disciplinary differences in the influence function. A second assumption about the influence function is monotonicity , meaning that the function is strictly increasing, in that the higher citation count for a publication the greater its

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actual GDP share but a smooth, monotonic and non-decreasing function of it, a function that slightly penalizes small GDP numbers, favors large ones, and leaves 1% GDP share, the breaking point between small and large GDP shares, untouched. Once we settle

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Scientometrics
Authors: Hildrun Kretschmer, Ramesh Kundra, Donald deB. Beaver, and Theo Kretschmer

monotonically decreasing or only monotonically increasing; when referred to both proverbs we obtain: either “ birds of a feather flock together ” or “ the opposites attract ”, cf. Fig 3 . Fig. 3

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), Quesada ( 2009 ), and Marchant ( 2009 ). The predictive power of h -index is discussed in Hirsch ( 2007 ), and its monotonicity is discussed in Quesada ( 2009 ). There are different views of peer researchers about the h -index—many of them consider h

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publications seem to be less monotonic than the domestic counterpart with a recent trend of decrease. Compared to 74 international publications listed in LISA and ISA from 1971 to 2002 Choi ( 2003 ), however, 170 international papers in the past 10 years can be

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special functions , Turkish J. Math., 42 ( 1 ) ( 2018 ), 211 – 226 . 10.3906/mat-1610-41 [4] Aktaş , İ. , Baricz , Á. and Singh , S. , Geometric and monotonic properties of hyper-Bessel functions , Ramanujan J. , 51 ( 2 ) ( 2020 ), 275

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may grow while maintaining quality. The converse may hold for a lower quality group. However, if this were the primary mechanism, one would expect a monotonic increase of N with s to plateau only when the maximum possible quality s = 1 is

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quartiles, are plotted in Fig. 2 a–c. While there are discernible differences in terms of both the direction and the magnitude across classes, the graphical representations illustrate the clearly monotonic distribution of the impact of these firm

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view of (16) , the inclusion G ε ⊂ G ^ ε is true. Therefore, by monotonicity of P ζ,α , P ζ , α ( G ^ ε ) > P ζ , α ( G ε ) ⩾ 0   , and (18) gives the assertion of the theorem. sc>Proof of Theorem 7. Let, for brevity, σ 0 = max ( | σ 1 − 3 4

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Scientometrics
Authors: Ludo Waltman, Nees Jan van Eck, Thed N. van Leeuwen, Martijn S. Visser, and Anthony F. J. van Raan

in Table 4 . The Pearson correlation measures to what degree two indicators are linearly related. The Spearman correlation, on the other hand, measures to what degree two indicators are monotonically related (i.e., to what degree two indicators yield

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