Abstract
A general equation is offered for the variation of number and weight length distribu tions of the lengths of fibers as measured in projection along some fiber structure. Two models are examined and one model, "the ideal random hook," is used to derive ex pressions for the "equivalent random hooks per fiber." Experimental techniques for determining the parameters necessary to measure hooks by the method are discussed. Expressions for the excess number of hooks on one end of the fibers over the other end are derived and the experimental technique for their evaluation is analyzed. The basic technique suggested in an earlier paper for the measurement of weight mean lengths is shown to be valid for variations in weight fineness.
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