smooth form

  • 61Pullback (differential geometry) — Suppose that φ : M → N is a smooth map between smooth manifolds M and N ; then there is an associated linear map from the space of 1 forms on N (the linear space of sections of the cotangent bundle) to the space of 1 forms on M . This linear map… …

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  • 62Jazz — For other uses, see Jazz (disambiguation). Jazz Stylistic origins: Blues • Folk • March • Ragtime …

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  • 63drawing — /draw ing/, n. 1. the act of a person or thing that draws. 2. a graphic representation by lines of an object or idea, as with a pencil; a delineation of form without reference to color. 3. a sketch, plan, or design, esp. one made with pen, pencil …

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  • 64furniture — furnitureless, adj. /ferr ni cheuhr/, n. 1. the movable articles, as tables, chairs, desks or cabinets, required for use or ornament in a house, office, or the like. 2. fittings, apparatus, or necessary accessories for something. 3. equipment for …

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  • 65galaxy — /gal euhk see/, n., pl. galaxies. 1. Astron. a. a large system of stars held together by mutual gravitation and isolated from similar systems by vast regions of space. b. (usually cap.) See Milky Way. 2. any large and brilliant or impressive… …

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  • 66Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …

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  • 67Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …

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  • 68Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …

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  • 69reproductive system, human — Organ system by which humans reproduce. In females, the ovaries sit near the openings of the fallopian tubes, which carry eggs from the ovaries to the uterus. The cervix extends from the lower end of the uterus into the vagina, whose opening, as… …

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  • 70Lie group — Lie groups …

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