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  2. Vectorial addition chain - Wikipedia

    en.wikipedia.org/wiki/Vectorial_addition_chain

    An addition sequence for the set of integer S ={n 0, ..., n r-1} is an addition chain v that contains every element of S. For example, an addition sequence computing {47,117,343,499}

  3. Vector addition system - Wikipedia

    en.wikipedia.org/wiki/Vector_addition_system

    A vector addition system (VAS) is one of several mathematical modeling languages for the description of distributed systems.Vector addition systems were introduced by Richard M. Karp and Raymond E. Miller in 1969, [1] and generalized to vector addition systems with states (VASS) by John E. Hopcroft and Jean-Jacques Pansiot in 1979. [2]

  4. Comparison of vector algebra and geometric algebra - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_vector...

    The same techniques can be applied to similar problems, such as calculation of the component of a vector in a plane and perpendicular to the plane. For three dimensions the projective and rejective components of a vector with respect to an arbitrary non-zero unit vector, can be expressed in terms of the dot and cross product

  5. Geometric algebra - Wikipedia

    en.wikipedia.org/wiki/Geometric_algebra

    In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors.Geometric algebra is built out of two fundamental operations, addition and the geometric product.

  6. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    A vector space over a field F (often the field of the real numbers) is a set V equipped with two binary operations. Elements of V are called vectors, and elements of F are called scalars. The first operation, vector addition, takes any two vectors v and w and outputs a third vector v + w.

  7. Vector algebra relations - Wikipedia

    en.wikipedia.org/wiki/Vector_algebra_relations

    The following are important identities in vector algebra.Identities that only involve the magnitude of a vector ‖ ‖ and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.

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