Gambar:Central limit thm 1.png - Wikipédia

# Gambar:Central limit thm 1.png

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Central_limit_thm_1.png‎ (640 × 480 pixel, file size: 4 KB, MIME type: image/png)

| Koropak ieu asalna ti Wikimedia Commons. Tempo kaca dadaranana pikeun leuwih jéntré.

La bildo estas kopiita de wikipedia:en. La originala priskribo estas:

illustration of central limit theorem, part 1

I created these images: Image:Central_limit_thm_1.png, Image:Central_limit_thm_2.png, Image:Central_limit_thm_3.png, Image:Central_limit_thm_4.png. I license these images under the GFDL:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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Here are the GNU Octave commands to create these images:

    dx = 0.002;
    x1 = (1:1000)*dx;
    p1 = [1:2:1000, 500*ones(1, 500)];

    p1 = p1 / (sum(p1)*dx);
    m = sum (x1.*p1)*dx;
    x1 = x1 - m;
    s = sqrt (sum ((x1.^2).*p1)*dx);
    dx1 = dx/s;
    x1 = x1/s;
    p1 = p1*s;

    p2 = conv (p1, p1) * dx1;
    nx1 = length(x1);
    x2 = [x1+min(x1) x1(2:nx1)+max(x1)];

    p3 = conv (p2, p1) * dx1;
    x3 = [x2+min(x1) x1(2:nx1)+max(x2)];

    p4 = conv (p3, p1) * dx1;
    x4 = [x3+min(x1) x1(2:nx1)+max(x3)];

    p2 = p2 * sqrt(2);
    x2 = x2 / sqrt(2);
    dx2 = dx1 / sqrt(2);

    p3 = p3 * sqrt(3);
    x3 = x3 / sqrt(3);
    dx3 = dx1 / sqrt(3);

    p4 = p4 * sqrt(4);
    x4 = x4 / sqrt(4);
    dx4 = dx1 / sqrt(4);

    sum (p1) * dx1
    sum (p1.*x1) * dx1
    sum (p1.*x1.^2) * dx1

    sum (p2) * dx2
    sum (p2.*x2) * dx2
    sum (p2.*x2.^2) * dx2

    sum (p3) * dx3
    sum (p3.*x3) * dx3
    sum (p3.*x3.^2) * dx3

    sum (p4) * dx4
    sum (p4.*x4) * dx4
    sum (p4.*x4.^2) * dx4

    axis ([-5 5 0 0.5])

    gset nokey
    gset terminal png

    gset output 'central_limit_thm_1.png'
    plot (x1, p1, 'r-')

    gset output 'central_limit_thm_2.png'
    plot (x2, p2, 'r-')

    gset output 'central_limit_thm_3.png'
    plot (x3, p3, 'r-')

    gset output 'central_limit_thm_4.png'
    plot (x4, p4, 'r-')

date/time | username | edit summary
--- | --- | ---
16:35, 3 November 2005 | en:User:Sverdrup | (removing a space in "ones (1, 500)". With this fix, I can paste it directly into my octave console)
15:30, 14 October 2004 | en:User:Wile E. Heresiarch | (disambiguate Octave)
05:46, 14 October 2004 | en:User:Wile E. Heresiarch | (+GFDL, +octave cmds)
16:41, 12 January 2004 | en:User:Wile E. Heresiarch | (illustration of central limit theorem, part 1)

#### [edit] Historio de la dosiero

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

- (del) (cur) 05:13, 14 October 2004 . . en:User:Wile_E._Heresiarch Wile E. Heresiarch ( en:User_talk:Wile_E._Heresiarch Talk) . . 640x480 (3584 bytes) (illustration of central limit theorem, part 1)

## Tumbu gambar

Kaca nu numbu ka gambar ieu:

- Central limit theorem
- Illustration of the central limit theorem

Disalin ti "http://su.wikipedia.org../../../c/e/n/Gambar%7ECentral_limit_thm_1.png_4f2a.html"

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