e2f69d46-693f-4e82-a7c9-a682dbd6983c 9 4 5 decimal

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

t0 1 time :

Times Table n M i 1 n range j 1 n range M i j el i j * : for for M 21 line :

100 M 123456789102468101214161820369121518212427304812162024283236405101520253035404550510 mat

1 time t0 - 6 s *

t0 1 time :

This is the fastest way to get matrix image. 
Collapse in utilities area , will work anywhere 
down for any [f(x,y),L,H,N] x y f L H N Sym U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : V i el L dx i * dx - (+ : 21 line for symmetric Gaussian 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 71 line :

x y f 255 x 2^y 2^+ (- 0.25 / exp * :

image x y f 1 - 164 Sym :

6565 * 4225

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 image

1 time t0 - 12 s *

Laptop Win 7, 1.6 GHz: 100x100 times table => 6sec Gaussian spot 4225 => 11 sec

t0 1 time :

Pad a Matrix

The longest english word: floccinaucinihilipilification

x y φ 235 :

Ω 3030 φ matrix maple :

Ω 2352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352352351014 mat

Explain ::

This padding is the basic padding to zoom a grayscale image. RGB requires each R,G,B similar padding. This demo is for a matrix. If the matrix is a grayscale, in 'A' we plug its Fourier 3D "cfft(M)" and recover the zoomed image "scale[Re(icfft(S))]. Note the symmetry for even row/col in Ω .

M nc nr Pad A M : insert 'nc' cols in 'A' i 1 A rows range j 1 nc range vert i j el 0 : for for a A 1 A rows 1 A cols 2 / Floor submatrix : b A 1 A rows A cols 2 / Floor 1 + A cols submatrix : S a vert b augment transpose : insert 'nr' rows in the transpose 'S' i 1 S rows range j 1 nr range horiz i j el 0 : for for a S 1 S rows 1 S cols 2 / Floor submatrix : b S 1 S rows S cols 2 / Floor 1 + S cols submatrix : S a horiz b augment transpose : 111 line :

iVBORw0KGgoAAAANSUhEUgAAACgAAAAoCAIAAAADnC86AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAABiSURBVFhH7dSxDcBADMPA7L/qL5GGrQSlDJ5Xy2Dn53zxVIw2hjsKAaON4Y5CwGhjuKMQMNoY7igEjDYXhiXpf/hgG24CRhvDHYWA0cZwRyFgtDHcUQgYbQx3FAJGm9vC57wn3a8MBjbY7AAAAABJRU5ErkJggg== Ω 10 10 Pad

1 time t0 - 11 s *