File:Vector 1-form.svg

Original file ‎(SVG file, nominally 639 × 553 pixels, file size: 235 KB)

Summary

Description
English: Vector basis and covector (or 1-form) basis in general curvilinear coordinates.
Date
Source Own work
Author Maschen

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author name string: Maschen
Wikimedia username: Maschen
URL: https://commons.wikimedia.org/wiki/user:Maschen

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inception

3 September 2012

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File history

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Date/TimeThumbnailDimensionsUserComment
current23:47, 17 September 2012639 × 553 (235 KB)MaschenOn second thought it may be better to keep the coord curves and surfaces together which would indicate constancy of one coordinate value for each surface...
20:46, 17 September 2012639 × 528 (226 KB)MaschenSimplify: -potentially confusing to type "q_i" for coord surfaces since this could suggest they change instead of remaining constant, -else ambiguous and clutter, -also not much is gained by drawing multiple surfaces as this is illustrated elsewhere,...
11:07, 6 September 2012701 × 599 (372 KB)MaschenRecolour and redraw for clarity, to save ink (if printed), and parallel a simalar diagram in the [http://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors Covariance and contravariance of vectors] WP article.
09:10, 3 September 2012677 × 560 (379 KB)MaschenRedraw: make lines consistent thickness, draw cobasis with surfaces.
07:22, 3 September 2012677 × 540 (265 KB)MaschenUser created page with UploadWizard
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

  • Usage on el.wikipedia.org
    • Συνδιακύμανση και αντιδιακύμανση διανυσμάτων
  • Usage on es.wikipedia.org
    • Covarianza y contravarianza
    • Coordenadas curvilíneas
  • Usage on he.wikipedia.org
    • וקטורים קוואריאנטיים וקונטרוואריאנטיים
  • Usage on hu.wikipedia.org
    • Görbe vonalú koordináta-rendszer
  • Usage on ja.wikipedia.org
    • ベクトルの共変性と反変性
  • Usage on ko.wikipedia.org
    • 벡터의 공변성 및 반변성
    • 곡선좌표계
  • Usage on no.wikipedia.org
    • Krumlinjete koordinater
  • Usage on pa.wikipedia.org
    • ਵੈਕਟਰਾਂ ਦੇ ਕੋਵੇਰੀਅੰਸ ਅਤੇ ਕੌਂਟਰਾਵੇਰੀਅੰਸ
  • Usage on pl.wikipedia.org
    • Pochodna kowariantna
    • Współrzędne krzywoliniowe
  • Usage on pt.wikipedia.org
    • Base (álgebra linear)
    • Covariância e contravariância
    • Coordenadas curvilíneas
  • Usage on ru.wikipedia.org
    • Ковариантность и контравариантность (математика)
  • Usage on uk.wikipedia.org
    • Коваріантність і контраваріантність (математика)
  • Usage on vi.wikipedia.org
    • Toán học của thuyết tương đối rộng
  • Usage on www.wikidata.org
    • Q1790208

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