<p> plotG, discrete poly </p>

a382f11f-f7b8-4537-beee-d0cfc0391e11 22 4 5 decimal

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

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

data n Decimate collect every 'n' pairs range 1 data rows n range : k 1 : i range u k el data i 1 el : v k el data i 2 el : k k 1 + : 31 line for u v augment 31 line 31 line :

μ 100 :

K.gk 454.5 :

V.gk 0 0.5 - 1 - 1.5 - 2 - 2.5 - 3 - 3.5 - 4 - 19 mat :

i 1 V.gk cols range f i el 1 K.gk / μ V.gk i el * x + (32 / (^* : for

x FTO f :

j 1 V.gk length range i 1370 range Y i j el i FTO j el : μ V.gk j el * i + (0 ≥ Y i j el 0 : cases 11 line for for

x 1 Y rows range : Y x Y augment : 21 line

Beautiful colors fro Carlos data Anode 1 el . 9 green plot Anode 2 el . 9 red plot Anode 3 el . 9 blue plot Anode 4 el . 9 black plot Anode 5 el . 9 navy plot Anode 6 el . 9 purple plot Anode 7 el . 9 olivedrab plot Anode 8 el . 9 orange plot 81 sys :

Smath native sequential colors Anode Y 1 col Y 2 col augment Y 1 col Y 3 col augment Y 1 col Y 4 col augment Y 1 col Y 5 col augment Y 1 col Y 6 col augment Y 1 col Y 7 col augment Y 1 col Y 8 col augment Y 1 col Y 9 col augment 81 sys :

j 5 :

n 11 :

select Anode j el n Decimate :

T select o 5 black plot :

Anode T 2 1 sys data

select 11 mat 101102103104105106107108109101010111012101310141015101610171018101910201 0.0022 211 0.0803 221 0.2117 231 0.3798 241 0.5776 251 0.8013 261 1.0482 271 1.3163 281 1.604 291 1.91 301 2.2333 311 2.5731 321 2.9285 331 3.2989 341 3.6838 351 4.0826 361 4.4947 372 mat 11 mat

The new equations for tube characteristics are phenomenological equations, that is, equations that model the behavior of physical phenomena using a reasonable number of parameters, but are not derived from fundamental physics. They have been designed so that plate current IP > 0 whenever plate voltage EP > 0 (for triodes) or screen grid voltage EG2 > 0 (for pentodes). Both equations take advantage of the fact that log(1+exp(x)) approaches x when x >> 1 and 0 when x << 1.

http://www.normankoren.com/Audio/Tube_params.html http://www.normankoren.com/Audio/Tubemodspice_article.html

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

XY 101102103104105106107108109101010111012101310141015101610171018101910201 0.0022 211 0.0803 221 0.2117 231 0.3798 241 0.5776 251 0.8013 261 1.0482 271 1.3163 281 1.604 291 1.91 301 2.2333 311 2.5731 321 2.9285 331 3.2989 341 3.6838 351 4.0826 361 4.4947 372 mat :

XY XY 16 XY rows 12 submatrix : X XY 1 col : Y XY 2 col : data XY o 5 black plot : 41 line

The classical 2nd order XFR system

α 150 :

β 300 :

K.p 24 :

in some ways: undefined xo 193 - :

XFR of the 2nd order classical system:
Kp [Process gain], α,β [Dynamics] t XFR K.p 1 α β α - (/ t - xo - α / exp * + β β α - (/ t - xo - β / exp * - (* :

x c 1 xo - x ≤ cases :

xo - 1 xo - 1 - 2 2 mat x XFR x c * XY o 5 black plot 3 1 sys

α β α - (/ β β α - (/ 21 mat 1221 mat

α 190 :

β 380 :

K.p 34 :

xo 190 - :

http://www.normankoren.com/Audio/Tube_params.html http://www.normankoren.com/Audio/Tubemodspice_article.html

<p> plotG, discrete poly </p>

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

Low High step x fnct inc U Low High step range : i 1 U rows range f i el U i el fnct : for U f augment 31 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

XY 101102103104105106107108109101010111012101310141015101610171018101910201 0.0022 211 0.0803 221 0.2117 231 0.3798 241 0.5776 251 0.8013 261 1.0482 271 1.3163 281 1.604 291 1.91 301 2.2333 311 2.5731 321 2.9285 331 3.2989 341 3.6838 351 4.0826 361 4.4947 372 mat :

XY XY 16 XY rows 12 submatrix : X XY 1 col : Y XY 2 col : n XY rows : 41 line

f 0.625 :

<= Transmute model function x β f β 1 el β 2 el (f^1 x β 3 el - / (f^* - exp * :

β 93124115031 mat :

93124115031 mat

Advanced Sigmoid

Absolute  residuals δ j 1 XY rows range Δ j el Y j el X j el β f abs - eval : for X Δ augment 21 line :

SSD = "Sum Square Differences" SSD Y i el X i el β f - (2^(i 16 n sum : 0.0029

`

bar δ 0.05 BarSize :

bar 150 1 150 1 - 2 2 mat 2 1 sys x β f 150 1 150 1 - 2 2 mat XY o 5 black plot 3 1 sys