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  2. Euclidean vector - Wikipedia

    en.wikipedia.org/wiki/Euclidean_vector

    A vector pointing from A to B. In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector[ 1 ] or spatial vector[ 2 ]) is a geometric object that has magnitude (or length) and direction. Euclidean vectors can be added and scaled to form a vector space.

  3. Invariant subspace problem - Wikipedia

    en.wikipedia.org/wiki/Invariant_subspace_problem

    Later Charles Read constructed an operator on without even a non-trivial closed invariant subset, that is that for every vector the set {():} is dense, in which case the vector is called hypercyclic (the difference with the case of cyclic vectors is that we are not taking the subspace generated by the points {():} in this case).

  4. Vector (mathematics and physics) - Wikipedia

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

    In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector [ 1] or spatial vector [ 2]) is a geometric object that has magnitude (or length) and direction. Euclidean vectors can be added and scaled to form a vector space. A Euclidean vector is frequently represented by a directed line ...

  5. Radoslav Rochallyi - Wikipedia

    en.wikipedia.org/wiki/Radoslav_Rochallyi

    Rochallyi believe that Vectors can be used to create a sense of movement in a poem. For example, words can flow smoothly from one to another, creating a sense of rhythm and movement. It can add another layer of meaning to the poem and make it more interesting to explore. [45] [55] Vector Poetry replaces words or partial phrases with vectors. In ...

  6. Viral vector - Wikipedia

    en.wikipedia.org/wiki/Viral_vector

    Viral vector. A 2021 U.S. Centers for Disease Control and Prevention poster on the COVID-19 viral vector vaccines. Viral vectors are modified viruses designed to deliver genetic material into cells. This process can be performed inside an organism or in cell culture.

  7. Vector projection - Wikipedia

    en.wikipedia.org/wiki/Vector_projection

    The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as or a∥b . The vector component or vector resolute of a perpendicular to b, sometimes also called the ...

  8. Position (geometry) - Wikipedia

    en.wikipedia.org/wiki/Position_(geometry)

    Position (geometry) Radius vector represents the position of a point with respect to origin O. In Cartesian coordinate system. In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary ...

  9. Unit vector - Wikipedia

    en.wikipedia.org/wiki/Unit_vector

    Unit vector. In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in (pronounced "v-hat"). The term direction vector, commonly denoted as d, is used to describe a unit vector being used to represent spatial ...

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