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C.W. Carroll. Joint probability function relating fibre segmental length and orientation. In The Formation and Structure of Paper, Trans. of the IInd Fund. Res. Symp. Oxford, 1961, (F. Bolam, ed.), pp 243–245, FRC, Manchester, 2018.


The purpose of this contribution is to describe how statistical-geometrical analysis [such as that developed in the paper by Corte and Kallmes, this vol., pp. 13-46] can be extended and applied to the determination of the joint probability density function p(s, e), which arises so naturally and importantly in Van den Akker’s very interesting theoretical analysis of some of the fundamental mechanical properties of paper exhibited in the elastic regime (this vol., pp. 205-241).

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