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  2. UXV Combatant - Wikipedia

    en.wikipedia.org/wiki/UXV_Combatant

    The UXV Combatant is a concept UAV drone carrier aviation capable warship designed by BVT Surface Fleet (now BAE Systems Maritime – Naval Ships), which was displayed at the Defence Security and Equipment International (DSEI) in 2007. [1]

  3. BAE Systems Mantis - Wikipedia

    en.wikipedia.org/wiki/BAE_Systems_Mantis

    It was used as the basis for the BAE/Dassault Telemos, ... Maximum speed: 560 km/h (350 mph, 300 kn) Cruise speed: 370 km/h (230 mph, 200 kn) Endurance: 30 hours;

  4. Basis (linear algebra) - Wikipedia

    en.wikipedia.org/wiki/Basis_(linear_algebra)

    In other words, there exists some element L max of X satisfying the condition that whenever L max ⊆ L for some element L of X, then L = L max. It remains to prove that L max is a basis of V . Since L max belongs to X , we already know that L max is a linearly independent subset of V .

  5. Dimension (vector space) - Wikipedia

    en.wikipedia.org/wiki/Dimension_(vector_space)

    A diagram of dimensions 1, 2, 3, and 4. In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field. [1] [2] It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.

  6. Structure constants - Wikipedia

    en.wikipedia.org/wiki/Structure_constants

    In mathematics, the structure constants or structure coefficients of an algebra over a field are the coefficients of the basis expansion (into linear combination of basis vectors) of the products of basis vectors. Because the product operation in the algebra is bilinear, by linearity knowing the product of basis vectors allows to compute the ...

  7. Mutually unbiased bases - Wikipedia

    en.wikipedia.org/wiki/Mutually_unbiased_bases

    Let () denote the maximum number of mutually unbiased bases in the d-dimensional Hilbert space C d.It is an open question [13] how many mutually unbiased bases, (), one can find in C d, for arbitrary d.

  8. Orientation (vector space) - Wikipedia

    en.wikipedia.org/wiki/Orientation_(vector_space)

    For example, the standard basis on R n provides a standard orientation on R n (in turn, the orientation of the standard basis depends on the orientation of the Cartesian coordinate system on which it is built). Any choice of a linear isomorphism between V and R n will then provide an orientation on V. The ordering of elements in a basis is crucial.

  9. Orthonormal basis - Wikipedia

    en.wikipedia.org/wiki/Orthonormal_basis

    For , the set of vectors {= , = , = ()}, is called the standard basis and forms an orthonormal basis of with respect to the standard dot product. Note that both the standard basis and standard dot product rely on viewing R 3 {\displaystyle \mathbb {R} ^{3}} as the Cartesian product R × R × R {\displaystyle \mathbb {R} \times \mathbb {R ...

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    base of v dimensionbasis of a vector space