51c92253-fd74-4372-b0ba-f3f29409c8f1 25 4 5 decimal
&[DATE] &[TIME] - &[FILENAME]
&[PAGENUM] / &[COUNT]

Create a 2D matrix of function values

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 4 1 line :

We make it symmetric by equating both directions. You may range V otherwise for an asymmetric option

plug your fnct in RHS

x y f 1 x 2 ^ 1 y * ( 2 ^ + ( - 0.25 / exp * : 65

<= Scale a Matrix

M Min Max Scale Max Min - ( M M min - M max M min - / ( * Min + :

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 + : 2 1 line for r r 1 + : 3 1 line for M 3 1 line :

Optimiz: numeric

N N 0 255 Scale : 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N 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

Insert Image, type N matrix ... add text ... show/hide arguments

 N Tell me a nice story x Story x exp : Ah! that is Euler story 4 1 line 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

Pasted image borders not coincide.

 N

The native Gaussian spot is 32 x 32 pixels. Scaled in gray levels 0..255. The native "Insert Image" is by default "zoomed". To recover "true", shrink by hrizontal handle up until no partial handle mark remains. A pasted image may misalign border. Increase 'N', the gray fade reduces, but not the size of the image itself.

 a formated label x f x sqrt : can contain function(s) x q x 2 ^ : x λ x : 6 1 line

Abstract

 x f x q x λ 3 1 sys x Story

The formated label is gorgeous gadget for publishing. It is in descriptive English a "News Paper Reader". The plot is just aligned to your "Project Abstract" of ½ page wide for the next ½ page plot. Superior to Mathcad 11 ! Show/hide plot arguments. Alike Mathcad, the " in the plot, blanks the trace.

 0.707107 1 2 / 3.141593