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spaces Pacific J. Math. 81 371 – 377 . [8] Gao , Y. Z. , Qu , H. Z. , Wang , S. T. 2007 A note on monotonically normal spaces Acta Math. Hungar. 117 175 – 178 10.1007/s10474

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References [1] Bessenyei , M. , Páles , Zs. 2010 Characterization of higher order monotonicity via integral inequalities Proc. Roy. Soc. Edinburgh Sect. A 140 723 – 736 10

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Abstract  

We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces.

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] Cecchi , M. , Marini , M. , Villari , G. 1989 On the monotonicity property for a certain class of second order differential equations J. Differential Equations 82 15 – 27 10.1016/0022-0396(89)90165-4 . [9

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Non (strict) monotony The increase/decrease in number of citations of a paper is not necessarily associated to a corresponding increase/decrease of h (aggregated indicator), which is weakly monotonic. Regarding the success -index

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. Sci. Fenn. Math. 29 59 – 80 . [15] Iwaniec , T. , Koskela , P. , Martin , G. 2001 Mappings of finite distortion: Monotonicity and continuity Invent. Math. 114 507 – 531 10.1007/s

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, 7 ( 2 ): 141 – 150 , 1981 . [37] A . Šne˘ıder . On series of Walsh functions with monotonic coefficients . Izvestiya Akad. Nauk SSSR. Ser. Mat . 12 : 179 – 192 , 1948 . (In Russian.) [38] G . Tephnadze . On the maximal operators of Kaczmarz

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ecchi , M. , M arini , M. and V illari , G. , On the monotonicity property for a certain class of second order differential equations , J. Differential Equations , 82 ( 2 ) ( 1989 ), 15 – 27 . [9

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towards biology or physics or another natural science, one would expect the monograph/papers style fraction to change over time. Although it may appear in Fig. 4 that this style fraction has a monotonic trend, the hypothesis that the slope is non-zero is

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Abstract  

Relations between I-approximate Dini derivatives and monotonicity are presented. Next, some generalizations of the Denjoy–Young–Saks Theorem for I-approximate Dini derivatives of an arbitrary real function are proved.

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