<p> Hatch </p>

5c0ecdf6-c053-4753-9f0b-8dff254c476f 9 4 5 decimal

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

<p> Hatch </p>

Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und 
g(x) im Bereich von x1 bis x2 mit 2*n Linien. Generates a matrix for 2*n vertical lines (hatching) 
between functions f(x) and g(x) in x-range from x1 to x2 f g u v N hatch dx v u - N / (: h u u f u u g 22 mat : x u v dx - u dx + range h h x dx 2 / + x dx 2 / + g x dx 2 / + x dx 2 / + f x dx + x dx + f x dx + x dx + g 42 mat stack : for h 41 line :

NaN 1099 -^:

Ω x f x 1 - x ln + (* : x g 0 : N 10 : (even ≡ G x f x g NaN 1 N hatch : e 0.15 black 15 mat 51 sys :

Smath 5346 did not suffer ln(0),it did plot: hatch(f(x),g(x),0,1,N) Same remark applies to variables x,t ... starting at '0'. In Smath 5346, Bézier range 0..1 is accepted ... it is NOT 6179 . '0' must have a value. Smath designers should consider re-installing the numerical 5346 engine in 6179. Very many 6179 Engineering works now look weird.

ln(0) not defined 10100 -^ln #

NaN ln 227.9559 -

From recollection, Mathcad 11 defines 'NaN' 10^-307 and has predefined ln(0) ln0 to be recognised as applicable. In hatch(f(x),g(x),0,1,N) ... ln(0) is not the theoretical ln(0), it is rather the next "computable 'ln(x)'... for instance ln(NaN)