• In multilinear algebra, a multivector, sometimes called Clifford number or multor, is an element of the exterior algebra Λ(V) of a vector space V. This...
    33 KB (4,882 words) - 23:37, 14 March 2025
  • to a general multivector, called the multivector derivative. Let F {\displaystyle F} be a multivector-valued function of a multivector. The directional...
    16 KB (3,338 words) - 21:48, 12 August 2024
  • Multiplication of vectors results in higher-dimensional objects called multivectors. Compared to other formalisms for manipulating geometric objects, geometric...
    93 KB (13,801 words) - 22:00, 13 April 2025
  • In differential geometry, a field in mathematics, a multivector field, polyvector field of degree k {\displaystyle k} , or k {\displaystyle k} -vector...
    4 KB (698 words) - 17:43, 18 August 2024
  • Cleven(V) consisting of multivectors R such that R R ~ = 1. {\displaystyle R{\tilde {R}}=1.} That is, it consists of multivectors that can be written as...
    7 KB (839 words) - 07:52, 8 March 2024
  • respect to each argument. It involves concepts such as matrices, tensors, multivectors, systems of linear equations, higher-dimensional spaces, determinants...
    6 KB (661 words) - 02:59, 5 March 2024
  • as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields...
    7 KB (1,153 words) - 18:01, 18 August 2024
  • Thumbnail for Tensor
    in three dimensions E.g. Riemann curvature tensor 2 Inverse metric tensor, bivector, e.g., Poisson structure E.g. elasticity tensor ⋮ N Multivector ⋮...
    69 KB (9,357 words) - 21:16, 23 May 2025
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    14 KB (2,074 words) - 15:45, 7 February 2025
  • historical reasons. Vector quaternion, a quaternion with a zero real part Multivector or p-vector, an element of the exterior algebra of a vector space. Spinors...
    10 KB (2,684 words) - 04:26, 1 June 2025
  • Thumbnail for Pseudovector
    terminology to describe the various combinations is provided. For example, a multivector is a summation of k-fold wedge products of various k-values. A k-fold...
    33 KB (4,332 words) - 18:33, 11 May 2025
  • Thumbnail for Exterior algebra
    while a more general sum of blades of arbitrary degree is called a multivector. The linear span of the k {\displaystyle k} -blades is called the k {\displaystyle...
    77 KB (12,218 words) - 09:42, 8 June 2025
  • syndrome, a rare liver disorder Rotor (mathematics), an even-graded multivector used to produce rotations and some other affine transformations Curl...
    2 KB (362 words) - 13:49, 5 December 2024
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    28 KB (4,420 words) - 11:25, 6 June 2025
  • Thumbnail for Transpose
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    20 KB (2,550 words) - 21:08, 14 April 2025
  • Thumbnail for Vector projection
    generalized to the notions of projection and rejection of a general multivector onto/from any invertible k-blade. Scalar projection Vector notation Perwass...
    13 KB (1,718 words) - 13:42, 8 May 2025
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    194 KB (22,694 words) - 19:08, 7 June 2025
  • Thumbnail for Basis (linear algebra)
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    34 KB (4,751 words) - 04:52, 13 April 2025
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    11 KB (1,719 words) - 12:38, 26 May 2025
  • Thumbnail for Fiber bundle
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    29 KB (4,134 words) - 00:53, 3 June 2025
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    37 KB (6,453 words) - 04:29, 7 June 2025
  • and physics, k-vector may refer to: A wave vector k Crystal momentum A multivector of grade k, also called a k-vector, the dual of a differential k-form...
    382 bytes (88 words) - 10:49, 1 December 2018
  • algebra Exterior algebra Free object (Free group, ...) Geometric algebra (Multivector) Polynomial ring (Polynomial) Quotient object (Quotient group, ...) Symmetric...
    137 KB (13,739 words) - 22:58, 10 June 2025
  • Thumbnail for Special relativity
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    187 KB (25,048 words) - 12:01, 10 June 2025
  • Thumbnail for Differential geometry
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    46 KB (5,964 words) - 21:55, 19 May 2025
  • Thumbnail for Dimension
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    35 KB (3,931 words) - 00:50, 6 May 2025
  • Thumbnail for Geodesic
    Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    31 KB (4,261 words) - 10:03, 13 April 2025
  • Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
    23 KB (3,420 words) - 14:02, 7 April 2025
  • Thumbnail for Cross product
    product could be generalised to arbitrary multivectors in three dimensions, which results in a multivector consisting of only elements of grades 1 (1-vectors/true...
    75 KB (11,568 words) - 14:01, 8 May 2025
  • Thumbnail for Foreign relations of Kazakhstan
    economic ambitions. At the heart of its international diplomacy is a multivector foreign policy, which aims to maintain balanced and diverse relations...
    119 KB (8,175 words) - 17:03, 7 June 2025