File:Multivector.svg

From testwiki
Jump to navigation Jump to search
    Original file (SVG file, nominally 512 × 362 pixels, file size: 51 KB)

    This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

    Summary

    Description
    English: Relations between multivectors in geometric algebra. This diagram neglects some details, especially not expressing subsets and intersections. For example, all r-blades are r-vectors, and they are all multivectors. In addition, 0 is both a scalar and a vector, as well as all kinds of r-blades. Also in dimensions below four, there is no distinction between blades and vectors, because all r-vectors are actually r-blades. Another detail is the requirements for vectors in the products. Specifically, vectors for a versor need to be invertible.
    Date
    Source Own work
    Author David, but not Hilbert
    Other versions
    SVG development
    InfoField
     The SVG code is valid.
     This image was created with Inkscape, and then manually edited.


    This is a plain SVG exported from Inkscape. The original Inkscape SVG is available on GitHub.

    Licensing

    I, the copyright holder of this work, hereby publish it under the following license:
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
    You are free:
    • to share – to copy, distribute and transmit the work
    • to remix – to adapt the work
    Under the following conditions:
    • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
    • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

    Captions

    Relations between scalars, vectors, simple k-vectors, k-vectors, and multivectors.

    Items portrayed in this file

    depicts

    27 August 2025

    File history

    Click on a date/time to view the file as it appeared at that time.

    Date/TimeThumbnailDimensionsUserComment
    current11:57, 27 August 2025Thumbnail for version as of 11:57, 27 August 2025512 × 362 (51 KB)wikimediacommons>David, but not HilbertFix the format or r's

    There are no pages that use this file.