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  2. Vector (mathematics and physics) - Wikipedia

    en.wikipedia.org/wiki/Vector_(mathematics_and...

    In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.

  3. Generalized eigenvector - Wikipedia

    en.wikipedia.org/wiki/Generalized_eigenvector

    In linear algebra, a generalized eigenvector of an matrix is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector. [1]Let be an -dimensional vector space and let be the matrix representation of a linear map from to with respect to some ordered basis.

  4. Multivector - Wikipedia

    en.wikipedia.org/wiki/Multivector

    In multilinear algebra, a multivector, sometimes called Clifford number or multor, [1] is an element of the exterior algebra Λ(V) of a vector space V.This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors [2] (also known as decomposable k-vectors [3] or k-blades) of the form

  5. Geometric algebra - Wikipedia

    en.wikipedia.org/wiki/Geometric_algebra

    Alternatively, ⁠ ⁠-vectors are called pseudoscalars, ⁠ ⁠-vectors are called pseudovectors, etc. Many of the elements of the algebra are not graded by this scheme since they are sums of elements of differing grade. Such elements are said to be of mixed grade. The grading of multivectors is independent of the basis chosen originally.

  6. Vector space - Wikipedia

    en.wikipedia.org/wiki/Vector_space

    The space of solutions is the affine subspace x + V where x is a particular solution of the equation, and V is the space of solutions of the homogeneous equation (the nullspace of A). The set of one-dimensional subspaces of a fixed finite-dimensional vector space V is known as projective space ; it may be used to formalize the idea of parallel ...

  7. How presidents have spent their Christmases in office: From ...

    www.aol.com/presidents-spent-christmases-office...

    Before him, former President Donald Trump — who will soon take office again — spent Christmases in Florida at his Mar-a-Lago estate, per reports.During their holidays in Florida, Trump and ...

  8. Shock, questions after Fullerton plane crash kills 2, injures 19

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    Data from flight-tracking service FlightAware showed a plane leaving the airport at 2:07 p.m. before its flight ended at 2:09, which is the time that police said they received a notification about ...

  9. North Korean soldiers given fake Russian military IDs ...

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    North Korean soldiers fighting for Russia were given fake military documents with Russian names and birthplaces, the Ukrainian military said, amid claims from Kyiv that Russia is trying to conceal ...