<p> SYSTEM </p>

a0803e6c-5acc-4a89-86bc-f6e5d8493e06 27 4 5 decimal

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

<p> SYSTEM </p>

m 0.5886 :

t.R 2824 * 60 * 60 * : 2.4192 106^*

ϕ.k 0.86 :

γ.c 1.0 :

γ.p 1.11 :

t.c 30365 * 24 * 60 * 60 * : 9.4608 108^*

C.lim 0.004 426 * : 1.704

β.cl 1.5 :

Cs 6.0 :

D.R 7.516 1012 -^* :

c 85 :

Ci 0.0 :

t D.p D.R 1 m - (/ 1 m - (m t.c t 365 * 24 * 60 * 60 * / * + ((* t.R t.c / (m^* t 30 ≥ D.R 1 m - (/ t.R t 365 * 24 * 60 * 60 * (/ (m^* cases :

t D.k t D.p γ.p ϕ.k / * :

t D.d t D.k γ.c * β.cl * :

t C.d Cs Ci - (1 c 0.001 * (2 t D.d t * 365 * 24 * 60 * 60 * sqrt * / erf - (* Ci + :

t γC.d γ.p t C.d * :

kg/m^3

t ϕC.lim ϕ.k C.lim * :

x f γ.p x C.d * :

x q x ϕC.lim :

0 q 1.4654

1000 q 1.465440000000000

x f x q 132.714 2 132.714 0.5 - 2 2 mat 3 1 sys

u 132.714238745823 :

Iterative TI-59 technique solves ... NOT offered

u f u q - 21016 -^*

NOT compatible x f 2 - x 130200 solve #

NOT differentiable x f 0 q - x 100 roots #

x Ω γ.p x C.d * :

command line solve u 0 q :

recast f(x) to be solved x f x Ω u - :

rootsDichotomy local command line style x0 x1 TOL D a x0 : b x1 : 12 mat xn b a + (2 / : ε TOL : 12 mat 21 line n 0 : xn f abs ε > xn f a f * 0 ≤ b xn : a xn : if xn b a + (2 / : n n 1 + : 31 line while xn 21 line 31 line :

on failure , increase TOL TOL 1015 -^:

sol 1500 TOL D : 132.714239

track 0 u sol u sol 032 mat : 0 1.4654 132.7142 1.4654 132.7142 032 mat

γ.p x C.d * 0 u sol u sol 0 3 2 mat 30 30 Ω . 14 black 1 5 mat 3 1 sys

u sol 12 mat 1.46544 132.714238745823 12 mat

30 Ω 0.3796

command line solve u 2.5 :

recast f(x) to be solved x f x Ω u - :

on failure , increase TOL TOL 1013 -^:

sol 1500 TOL D : 293.274362

track 0 u sol u sol 032 mat : 0 2.5 293.2744 2.5 293.2744 032 mat

γ.p x C.d * 0 u sol u sol 0 3 2 mat 30 30 Ω . 14 black 1 5 mat 3 1 sys

u sol 12 mat 2.5 293.274361951956 12 mat

30 Ω 0.3796

x f γ.p x C.d * :

h 0.01 :

x h f D1 x 2 h * + f - 8 x h + f * + 8 x h - f * - x 2 h * - f + 12 h * / :

9.325 ... point of invrsion complete plot

γ.p x C.d * 9.325 γ.p 9.325 C.d * + 50 red 1 5 mat 2 1 sys

x D x h f D1 30 x ≤ (* :

x D

Accurate point of inversion ... 9.325

x 9 9.5 9.005 range : data x γ.p x C.d * vectorize augment : data data eval : 31 sys

Δ i 2 data rows range delta i el data i 2 el data i 1 - 2 el - : for data 1 col delta augment 21 line :

Δ 11 mat 90 9.005 0.000075771093 9.01 0.000075771805 9.015 0.000075772504 9.02 0.000075773192 9.025 0.000075773867 9.03 0.000075774531 9.035 0.000075775182 9.04 0.000075775822 9.045 0.000075776449 9.05 0.000075777064 9.055 0.000075777668 9.06 0.000075778259 9.065 0.000075778839 9.07 0.000075779407 9.075 0.000075779963 9.08 0.000075780507 9.085 0.000075781039 9.09 0.000075781559 9.095 0.000075782068 9.1 0.000075782565 9.105 0.00007578305 9.11 0.000075783523 9.115 0.000075783985 9.12 0.000075784435 9.125 0.000075784874 9.13 0.000075785301 9.135 0.000075785716 9.14 0.000075786119 9.145 0.000075786511 9.15 0.000075786892 9.155 0.000075787261 9.16 0.000075787619 9.165 0.000075787965 9.17 0.000075788299 9.175 0.000075788622 9.18 0.000075788934 9.185 0.000075789234 9.19 0.000075789523 9.195 0.000075789801 9.2 0.000075790067 9.205 0.000075790322 9.21 0.000075790566 9.215 0.000075790798 9.22 0.00007579102 9.225 0.00007579123 9.23 0.000075791428 9.235 0.000075791616 9.24 0.000075791792 9.245 0.000075791958 9.25 0.000075792112 9.255 0.000075792255 9.26 0.000075792387 9.265 0.000075792507 9.27 0.000075792617 9.275 0.000075792716 9.28 0.000075792804 9.285 0.000075792881 9.29 0.000075792947 9.295 0.000075793002 9.3 0.000075793046 9.305 0.000075793079 9.31 0.000075793101 9.315 0.000075793112 9.32 0.000075793113 9.325 0.000075793102 9.33 0.000075793081 9.335 0.000075793049 9.34 0.000075793007 9.345 0.000075792953 9.35 0.000075792889 9.355 0.000075792814 9.36 0.000075792729 9.365 0.000075792633 9.37 0.000075792526 9.375 0.000075792408 9.38 0.00007579228 9.385 0.000075792142 9.39 0.000075791993 9.395 0.000075791833 9.4 0.000075791663 9.405 0.000075791482 9.41 0.00007579129 9.415 0.000075791089 9.42 0.000075790876 9.425 0.000075790654 9.43 0.000075790421 9.435 0.000075790177 9.44 0.000075789923 9.445 0.000075789659 9.45 0.000075789385 9.455 0.0000757891 9.46 0.000075788805 9.465 0.000075788499 9.47 0.000075788184 9.475 0.000075787858 9.48 0.000075787521 9.485 0.000075787175 9.49 0.000075786819 9.495 0.000075786452 1002 mat 11 mat

Auto search point inversion Inv k 1 : k 2 Δ rows range Δ k 2 el Δ k 1 - 2 el ≥ k k 1 + : break if for Δ k row 31 line :

sanity visual Δ ... ► Inv 9.325 0.000075793102 12 mat