hatch

dfa6d667-2ba7-461e-8746-4d8507820f32 26 4 5 decimal

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Convolving two vectors of = or ≠ length

u v Kernel m 1 u rows range n 1 u rows v rows + (1 - (range H m n el 0 : for for ii 1 u rows range jj 1 v rows range H ii jj ii + 1 - el v jj el : for for H 31 line :

vx a b c d 41 mat :

vy f g h j 41 mat :

K vx vy Kernel :

vx transpose K * (transpose a f * a g * b f * + a h * b g * + c f * + a j * b h * + c g * + d f * + b j * c h * + d g * + c j * d h * + d j * 71 mat

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 :

K f g h j 0000 f g h j 0000 f g h j 0000 f g h j 47 mat

Convolving two vectors

X 0.1 0.2 0.3 0.4 41 mat :

Y 123441 mat :

K X Y Kernel : 123400001234000012340000123447 mat

Cnvl X transpose K * (transpose : n 1 Cnvl rows range : data n Cnvl augment : 31 sys

a b c spec o 7 red 13 mat : CNVL data a b c spec pts : 21 line

Cnvl X transpose K * (transpose : 0.1 0.4 12 2.5 2.4 1.6 71 mat

data 1 0.1 2 0.4 31425 2.5 6 2.4 7 1.6 72 mat

data CNVL 2 1 sys

X Y mwconv 0.1 0.4 12 2.5 2.4 1.6 71 mat

The convolution of two vectors, u and v , represents the area of overlap under the points as v slides across u . Algebraically, convolution is the same operation as multiplying polynomials whose coefficients are the elements of u and v

Y 1.123 2.2 3.3 4.4 5.5 51 mat :

X 0.1 0.2 0.3 0.4 41 mat :

X Y mwconv 0.1123 0.4446 1.1069 2.2092 3.3 3.74 3.41 2.2 81 mat

K X Y Kernel : Cnvl X transpose K * (transpose : 21 sys

Cnvl 0.1123 0.4446 1.1069 2.2092 3.3 3.74 3.41 2.2 81 mat

Convolving two vectors of ≠ length

vy f g h j k λ 61 mat :

u v Kernel m 1 u rows range n 1 u rows v rows + (1 - (range H m n el 0 : for for ii 1 u rows range jj 1 v rows range H ii jj ii + 1 - el v jj el : for for H 31 line :

vx a b c d 41 mat :

K vx vy Kernel :

vx transpose K * (transpose a f * a g * b f * + a h * b g * + c f * + a j * b h * + c g * + d f * + a k * b j * + c h * + d g * + a λ * b k * + c j * + d h * + b λ * c k * + d j * + c λ * d k * + d λ * 91 mat

K f g h j k λ 0000 f g h j k λ 0000 f g h j k λ 0000 f g h j k λ 49 mat

u v Kernel m 1 u rows range n 1 u rows v rows + (1 - (range H m n el 0 : for for ii 1 u rows range jj 1 v rows range H ii jj ii + 1 - el v jj el : for for H 31 line :

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 :

X 0 :

Y 0 :

X 0.1 0.2 0.3 0.4 14 mat transpose : Y 12345109876110 mat transpose : K X Y Kernel : Cnvl X transpose K * (transpose : n 1 Cnvl rows range : data n Cnvl augment : a b c spec o 7 red 13 mat : CNVL data a b c spec pts : 81 sys

data CNVL 2 1 sys

data transpose 12345678910111213 0.1 0.4 123 4.4 6 7.6 98 6.5 4.6 2.4 213 mat

hatch

Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und 
g(x) im Bereich von x1 bis x2 mit 2*n Linien. Generates a matrix for 2*n vertical lines (hatching) between functions f(x) and g(x)
in x-range from x1 to x2 f g x.1 x.2 N hatch dx x.2 x.1 - N / (: h x.1 x.1 f x.1 x.1 g 22 mat : x x.1 x.2 dx - x.1 dx + range h h x dx 2 / + x dx 2 / + g x dx 2 / + x dx 2 / + f x dx + x dx + f x dx + x dx + g 42 mat stack : for h 41 line :

Kernel(u,v) .... pts(data,spec)

u v Kernel m 1 u rows range n 1 u rows v rows + (1 - (range H m n el 0 : for for ii 1 u rows range jj 1 v rows range H ii jj ii + 1 - el v jj el : for for H 31 line :

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 :

X 0 :

Y 0 :

in-situ on-line command

X 01 0.025 range : Y 0301 range : K X Y Kernel : Cnvl X transpose K * (transpose : n 1 Cnvl rows range : data n Cnvl augment : a b c spec o 4 black 13 mat : CNVL data a b c spec pts : α 20 : β 60 : 12 mat sub data α β range 12 range el : a b c spec . 12 red 13 mat : SUB sub a b c spec pts : i 1 X rows range : vx i 100 X * augment : 12 mat j 1 Y rows range : vy j 10 Y * augment : 12 mat x f sub 1 col sub 2 col x cinterp : x g 0 x * : 161 sys

plot vx vy CNVL SUB 41 sys :

plot f g α β 40 hatch 2 1 sys