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  2. One-form (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/One-form_(differential...

    In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of the cotangent bundle. [ 1] Equivalently, a one-form on a manifold is a smooth mapping of the total space of the tangent bundle of to whose restriction to each fibre is a linear functional on ...

  3. Integrability conditions for differential systems - Wikipedia

    en.wikipedia.org/wiki/Integrability_conditions...

    Integrability conditions for differential systems. In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of the way a differential form restricts to a ...

  4. List of films: P - Wikipedia

    en.wikipedia.org/wiki/List_of_films:_P

    Pirates of the Caribbean: At World's End (2007) Pirates of the Caribbean: On Stranger Tides (2011) Pirates of the Caribbean: Dead Men Tell No Tales (2017) Pirates of Silicon Valley (1999) (TV) The Pirates Who Don't Do Anything: A VeggieTales Movie (2008) The Pirates!

  5. Differential form - Wikipedia

    en.wikipedia.org/wiki/Differential_form

    Differential form. In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics.

  6. Doing quick, easy exercises at night — even while ... - AOL

    www.aol.com/lifestyle/doing-quick-easy-exercises...

    About 1 in 3 American adults say they don’t get enough rest at night, according to the National Heart, Lung, and Blood Institute, making this a sleep-supporting hack worth considering.

  7. Baltimore and Potomac Railroad - Wikipedia

    en.wikipedia.org/wiki/Baltimore_and_Potomac_Railroad

    Baltimore and Potomac Railroad in an 1875 advertisement in Boyd's Directory. The leading advocate for expanding the railroad system into southern Maryland was Walter Bowie, who wrote newspaper articles and columns under the pen name Patuxent Planter and who joined Thomas Fielder Bowie, William Duckett Bowie, and Oden Bowie (later Governor of Maryland), in lobbying the Maryland General Assembly ...

  8. Cautious Robertson makes 1 change to New Zealand's ... - AOL

    www.aol.com/news/cautious-robertson-makes-1...

    July 10, 2024 at 10:04 PM. WELLINGTON, New Zealand (AP) — All Blacks head coach Scott Robertson has made only one injury-enforced change to his starting lineup for Saturday’s second test ...

  9. Aquaporin - Wikipedia

    en.wikipedia.org/wiki/Aquaporin

    Schematic diagram of the 2D structure of aquaporin 1 depicting the six transmembrane alpha-helices and the five interhelical loop regions A-E The 3D structure of aquaporin Z highlighting the 'hourglass'-shaped water channel that cuts through the center of the protein. Aquaporin proteins are composed of a bundle of six transmembrane α-helices ...