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&[DATE] &[TIME] - &[FILENAME]

3. Logistic fit . . . USCS granulometry

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

XY 1.125 - 3.78 1.119 - 4.054 1.075 - 5.969 0.968 - 11.919 0.824 - 27.298 0.673 - 54.513 0.523 - 81.022 0.373 - 94.521 0.223 - 98.603 0.075 - 99.725 0.073 99.916 0.223 99.941 0.373 99.959 0.525 99.972 0.676 99.983 0.823 99.991 0.949 99.997 1.038 100182 mat :

colony 1.61 :

x f colony β 1 el 11 β 2 el / 1 - (β 3 el x β 4 el - (* - exp * + / + :

data XY o 3 black plot :

as offered by hand β 98.39 0.9 9 0.66 14 mat transpose :

x f x 1.125 + f :

x D 0.5 x f x diff (* :

x y axes x y / - :

x f x D data axes 4 1 sys

x f x D data axes 41 sys

u 25507531 mat :

x f u - x 1.125 - 1 solve vectorize 0.8386 - 0.7128 - 0.5895 - 31 mat

New X XY 1 col eval : j 1 X rows range Y j el X j el f : for X Y augment 31 line :

New 1.125 - 3.887 1.119 - 4.01 1.075 - 5.134 0.968 - 10.336 0.824 - 27.423 0.673 - 58.735 0.523 - 84.481 0.373 - 95.445 0.223 - 98.777 0.075 - 99.674 0.073 99.914 0.223 99.978 0.373 99.994 0.525 99.999 0.676 100 0.823 100 0.949 100 1.038 100182 mat

1.125 - 3.78 1.119 - 4.054 1.075 - 5.969 0.968 - 11.919 0.824 - 27.298 0.673 - 54.513 0.523 - 81.022 0.373 - 94.521 0.223 - 98.603 0.075 - 99.725 0.073 99.916 0.223 99.941 0.373 99.959 0.525 99.972 0.676 99.983 0.823 99.991 0.949 99.997 1.038 100182 mat