<p> plotG, discrete poly </p>

ce7f0767-9d0d-4a76-ba84-9d9fdec9b2c3 9 4 5 decimal

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

You need that one for scaling grayscale image M lo hi Scale hi lo - (M M Min - M Max M Min - 1012 -^+ / (* lo + :

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + (range U i el L dx i * dx - (+ : for U 41 line :

Generate the symmetric square matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

Discrete compactor L 1 - : H 1 : N 16 : (image size ≡ U L H N xd : V U : 51 sys

size 16 :

Size the spot: size [0.125, 10] x y f 255 x 2^y 2^+ (- size / exp * : M x y f U V Sym : 21 sys

sub M 79 range 79 range el :

sub 253.016 253.758 254.006 253.758 254.502 254.751 254.006 254.751 25533 mat

sub M 7 9 range 7 9 range el : New sub 1 - ^ : Inverse Matrix 3 1 line 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

defacates !

NUMERIC New 8.71151932222862 1011^* 4.033087993784 1011^* - 4.64840497324682 1011^* - 8.68603464226644 1011^* - 3.48992463305347 1011^* - 1.21386891695397 1012^* 0 7.5038826409149 1011^* 7.49655820748895 1011^* - 33 mat

NUMERIC sub 1 -^3.5252393297996 1014^* - 2.1728191721603 1014^* 1.34079740994207 1014^* 1.76582686703524 1014^* 1.10364179189702 1014^* - 6.56378017705154 1013^* - 1.74739245565006 1014^* 1.06178361020403 1014^* - 6.79832799794477 1013^* - 33 mat

sub M 7 9 range 7 9 range el : New sub 1 - ^ eval : Inverse Matrix 3 1 line $NUMERIC New 3.5252393297996 1014^* - 2.1728191721603 1014^* 1.34079740994207 1014^* 1.76582686703524 1014^* 1.10364179189702 1014^* - 6.56378017705154 1013^* - 1.74739245565006 1014^* 1.06178361020403 1014^* - 6.79832799794477 1013^* - 33 mat$ <p> plotG, discrete poly </p> $data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :$ $Low High step x fnct inc U Low High step range : i 1 U rows range f i el U i el fnct : for U f augment 31 line :$ $XY 3001050 300.3 11003011213 302.1 1449 303.8 1826 305.3 2195 306.2 2418 306.7 255982 mat :$ $M 0 :$ 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 $x φ 1 x x 2^31 mat :$ $X XY 1 col : Y XY 2 col : pts XY . 14 black plot : 31 line$ $Cholesky companion solver j 1 x φ length range i 1 X length range M i j el X i el φ j el : for for Φ M transpose M * : d M transpose Y * : 12 mat b Φ 1 -^eval d * : 31 line$ $M transpose M * not commutative ≡$ $b 6.046498 105^* 4201.42308 - 7.298004 31 mat$ $M transpose Y * not commutative ≡$ $<= recast the scalar model x fit b x φ * :$ $Poly 298308 298.025 x fit inc :$ pts Poly 2 1 sys $Cholesky ...
symbolic/numeric M 1300900001 300.3 90180.09 1301906011 302.1 91264.41 1 303.8 92294.44 1 305.3 93208.09 1 306.2 93758.44 1 306.7 94064.89 83 mat$ $Φ 8 2425.4 7.353714 105^* 2425.4 7.353714 105^* 2.22977 108^* 7.353714 105^* 2.22977 108^* 6.761504 1010^* 33 mat$ $d 13810 4.1982951 106^* 1.27638060851 109^* 31 mat$ $b 6.0464982405271 105^* 4201.4230799458 - 7.2980042201065 31 mat$ $i 1 X rows range Δ i el Y i el X i el fit - : for$ $respective Δ SYMBOLIC NUMERIC 6.7201 6.7762 2.8495 2.9057 14.9573 - 14.9007 - 1.0391 1.0963 3.295 3.353 6.6081 6.6666 5.5678 - 5.5089 - 0.3296 - 0.2706 - 92 mat$

Formatted Label Observer ...

j 1 x φ length range i 1 X length range M i j el X i el φ j el : for for Φ M transpose M * : d M transpose Y * : 1 2 mat b Φ 1 - ^ eval d * : 3 1 line Cholesky 2 1 line

x Φ b x φ * :

i 1 X rows range Δ i el Y i el X i el Φ - : for

Δ 6.7201 2.8495 14.9573 - 1.0391 3.295 6.6081 5.5678 - 0.3296 - 81 mat

No matter you plug Cholesky Symbolic or Numeric ... Formatted Label is by default SYMBOLIC ... NO OPTIONS

Matrix Companion solve ...

[w,x,y,z] solve compactum ........ U 107 8.1 7.2 7.08 5.04 658 5.98 9.89 9 6.99 4.99 9 9.98 44 mat : V 3223333141 mat : wxyz U 1 -^V * : 15 mat 21 line

[w,x,y,z] solutions and sanity wxyz U wxyz * 12 mat 81 - 13734 - 2241 mat 3223333141 mat 12 mat

So much from so little !

Use the compactum wisely, rename the variables [w,x,y,z] solve compactum ........ u 107 8.1 7.201 7.08 5.04 658 5.98 9.89 9 6.99 4.99 9 9.98 44 mat : v 3223333141 mat : sol u 1 -^v * : 15 mat 21 line

[w,x,y,z] solutions and sanity sol u sol * 12 mat 121.1688 - 203.7041 51.2402 - 32.3294 41 mat 3223333141 mat 12 mat