b8d4a28f-ef01-400d-adcc-07ba134b79ed 31 4 5 decimal

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

The extended Γ(x)

x myG x Γ x Gamma : x 0 ≥ x Γ π x abs 1 + (* x abs 2 + Γ π x abs 1 + (* sin * / if 21 line :

This function is a recast from Gilberto E. Urroz Works for in-situ calculations. Tabulate wisely 2escape singularities.

L 5 - :

X 2.875 - :

Y X myG :

Y 1.5973 -

H 5 :

XY X Y + 20 red 15 mat :

x y 2 :

x myG x y 2 1 sys

N 999 :

U L H N xd :

L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx - (dx i * + : for U 41 line :

L 4.99 - :

H 5 :

N 499 :

U L H N xd :

i 1 U rows range vy i el U i el myG : for

Ω U vy augment :

Ω 0 XY 3 1 sys

Ah ! You want to know where on X your function y(x) = 2 crosses myG(x). NO "roots", NO "solve" will work in there because "Little Red Ridding Hood" encounters "not scalar wolves", and she can see only one at time on the road behind the trees. But with "dichotomy gun", she will do, one wolf at the time, ---- like this => --- in two steps.

x y 2 :

x f x myG x y - :

Вид левой части

Definisi fungsi nonlinear

Shifted function to solve

ε 1013 -^:

Необходимая точность решения

Tingkat keakuratan yang kehendaki

Calculations precision

a 0.25 :

b 1 :

Интервал, на котором ищется решение

Jangkauan

... bracket the 1rst root

a 2.5 :

b 3.5 :

Интервал, на котором ищется решение

Jangkauan

... bracket the 2nd root

xn b a + (2 / :

n 0 :

root dichotomy xn f abs ε > xn f a f * 0 ≤ b xn : a xn : if xn b a + (2 / : n n 1 + : 31 line while 21 line

Sanity check

xn 0.442878028771034

Искомое решение

Jawaban

Answer: wolf kaput !

xn f 41014 -^* -

n 43

Количество итераций

Jumah iterasi yang dilakukan

Number of iterations

roots 0.442878028771034 2.99999863215815 21 mat ≡

x myG x y 2 1 sys

t Γ t Gamma :

t y 2 :

x Γ x y 2 1 sys

Why it does NOT solve ? Answer: Γ(x) Smath is not scalar analytical, it plots and that's it

x q x Γ x diff :

0.5 q #

Xsol t Γ t y - t 04 solve :

Xsol #