<p> Arrow </p>

d7d4b5ff-b388-4c88-b1ac-7e3bbeb38831 5 4 5 decimal

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

x f 1 x 2^- :

X Clear 1

y Inverse y x f ≡ x solve maple : 1 y - sqrt 1 y - sqrt - 21 mat

Inversing a function is solving for 'x', given the Cartesian 'y <= f(x)'. A most advanced maths work that Smath/Maple solves. Given 'y' we recover the two "x's"

y > 1 pure imaginary Y 0.625 :

track 0 Y X 1 el Y X 1 el 032 mat :

X 1 Y - sqrt 1 Y - sqrt - 21 mat : 0.61237 0.61237 - 21 mat

X f vectorize 0.625 0.625 21 mat

<p> Arrow </p>

xo 0 :

size 0.125 :

sub 0.0125 :

arrow1 xo - 1.5 size * sub i * 1.5 size * sub i * - 15 mat transpose : arrow2 xo - size 2 sub * i * size 2 sub * i * - 15 mat transpose : 21 sys

α rot α cos α sin α sin - α cos 22 mat :

Numeric A1 arrow1 Re 1.25 size * - arrow1 Im X 1 el + augment : A2 arrow2 Re size - X 1 el + 0 + arrow2 Im Y + augment : 21 sys

Arrow1 A1 90 ° * - rot * : Arrow2 A2 0 ° * - rot * : 21 sys

x f Arrow2 Arrow1 track 5 1 sys

Y 0.625

========================== Next ▼ below 'Y'

Arrows associated [X,Y] track

Arrow2 Arrow1 track 3 1 sys

X 1 el 0.6124