<p> Create Scatter XY => grid </p>

e38afef8-ac99-409d-9cfe-5b166eef4276 63 4 5 decimal

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

1. In-situ spec, convenient web color

data spec pts i 1 data rows range p i el a b c spec : for v p 1 el : Unest 'p' j 2 p rows range v v p j el stack : for data v augment 51 line :

a b c spec . 6 #A0A0A0 13 mat :

pts data a b c spec pts :

2. Fast style data XY

3 appVersion 0.98.6179 ≡

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 :

n 2000 :

vx 1 n range :

vy 1 n range :

char . :

size 10 :

clr red :

data vx vy augment :

t0 1 time :

data char size clr plot 11.10 red 22.10 red 33.10 red 44.10 red 45 mat

Win 7 Starter Edition 1.66 GHz

1 time t0 - 1 s *

Function discretizer ... Optimiz => numeric Low step High # fnct inc U 0 : U Low High step range : i 1 U rows range f i el U i el fnct eval : for U f augment 41 line :

b 2.4186 106^* 4201.4231 - 7.298 31 mat :

Model fnct x φ .25 x x 2^13 mat transpose :

X 300 300.3 301 302.1 303.8 305.3 306.2 306.7 18 mat transpose :

x poly b 1 el x φ 1 el * b 2 el x φ 2 el * + b 3 el x φ 3 el * + :

Y 1050110012131449182621952418255918 mat transpose :

Poly 299 299.02 308 x poly inc :

Poly rows 451

3. Implicit style data XY

The particularity is the default plot of the data points = black. Data points of perfect size, data points and trace don't tartine mutually. User governs the range in in-situ, mesh at will.

i 1 X rows range p i el . : for

data X Y p augment :

Plot data points on fit

data Poly 2 1 sys

4. Highlight in collection

Few pts plot custom

X 1 1.5 2 2.5 351 mat :

Y 4532451 mat :

Sy . :

size 14 :

clr black :

plotSample Sy size clr Sy size clr Sy size clr o 10 black Sy size clr 53 mat :

x f X Y x cinterp :

Data X Y plotSample augment :

Data x f 2 1 sys data set, coefficients X 300 300.3 301 302.1 303.8 305.3 306.2 306.7 1 8 mat transpose : Y 1050 1100 1213 1449 1826 2195 2418 2559 1 8 mat transpose : 2 1 line b 2.4186 10 6 ^ * 4201.4231 - 7.298 3 1 mat : x φ .25 x x 2 ^ 1 3 mat transpose : ( model fnct ≡ x poly b 1 el x φ 1 el * b 2 el x φ 2 el * + b 3 el x φ 3 el * + : conclude the project x u 1 299 x ≤ ( x 308 ≤ ( & cases : ( range the plot ≡ i 1 X rows range p i el . : for data X Y p augment : 2 1 line Publish the project 9 1 line

Elegant, stand alone scalar plot + data

data x poly x u * 2 1 sys

vx vy a b c plotG a char ≡ b size ≡ c color ≡ 13 mat n vx length : plot vx 1 el vy 1 el a b c augment : i 2 n range plot plot vx i el vy i el a b c augment stack : for plot 51 line :

original style slow, abandoned.

5. markers on discrete plot

x f 0.0125 x 3^* :

mesh 0.125 :

up dn locate line j 1 up range v j el j mesh * dn + : u j el locate : 21 line for u v augment 21 line :

On "Graph by points", usual markers vanish. The marker style recovers visibility.

blue 20 1.5 - 2 line : red 403 - 4 - line : 21 line

|< left marker is symmetric around 0. >| shift up/dn

blue red x f 3 1 sys

Help shift up/dn

dn 1.5 - :

up 20 :

low dn mesh + : 1.375 -

high up mesh * dn + : 1

6. Plot discrete over a user grid region

<p> Create Scatter XY => grid </p>

Program to create the "Scatter xy" Mathcad style X Y x0 x1 y0 y1 u v Sr count 1 : i 1 u range j 1 v range x x0 i 1 - (u 1 - / x1 x0 - (* + : y y0 j 1 - (v 1 - / y1 y0 - (* + : XY 1 count el x y X x y Y 21 mat : count count 1 + : 41 line for for data XY transpose : v data 1 el : j 2 data rows range v v data j el stack : for v 31 line 41 line :

t0 1 time :

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

x0 1 - : x1 1 : y0 1 - : y1 1 : u 20 : v 20 : 16 mat XY X Y x0 x1 y0 y1 u v Sr : XY XY : grid XY 1 col XY 2 col augment : 41 line

<= the companion u v X u : u v Y v : 21 sys

x f 0.1 x 0.001 + / :

plot x x0 x1 x0 140 u * / + (range : i 1 x rows range y i el x i el f eval : for x y augment 31 line :

SET: 1. [u,v] mesh at will the grid region 2. [x0,x1,y0,y1]set limits wrt ranged f(x)

X 0.25 :

X f 0.398

plot plot . 4 red plotG :

Discrete plot over grid [u,v]

grid plot X X f + 20 green 1 5 mat 3 1 sys

1 time t0 - 16.8 s *

x 1 - 0.1 - 0.995 - range : i 1 x rows range y i el x i el f : for 21 line

x1 0.1 1 0.105 range : j 1 x1 rows range y1 j el x1 j el f : for 21 line

y0 1 - 1 0.995 - range : i 1 y0 rows range x0 i el 0 : for 21 line

DATA x y augment x1 y1 augment x3 0 : x0 y0 augment 41 sys :

DATA