In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism)...
34 KB (5,806 words) - 14:46, 17 February 2025
projection matrix has a number of useful algebraic properties. In the language of linear algebra, the projection matrix is the orthogonal projection onto...
13 KB (1,831 words) - 21:07, 14 April 2025
impossible triangle (top) shown in this mural by Paul Kuniholm. Projection (linear algebra) Schaum's Outline: Descriptive Geometry, McGraw-Hill, (June 1...
18 KB (2,212 words) - 13:40, 20 April 2025
frequently projected onto a plane using the gnomonic projection.[citation needed] In linear algebra, a linear transformation that remains unchanged if applied...
14 KB (1,589 words) - 03:20, 23 May 2025
Transpose (redirect from Transpose of a linear transformation)
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of...
20 KB (2,550 words) - 21:08, 14 April 2025
Sheldon Jay (1997), Linear Algebra Done Right (2nd ed.), Springer-Verlag, ISBN 0-387-98259-0. Lay, David C. (2005), Linear Algebra and Its Applications...
24 KB (3,724 words) - 13:03, 11 June 2025
is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector...
5 KB (377 words) - 12:12, 30 October 2023
In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology...
42 KB (5,917 words) - 00:42, 7 April 2025
Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
67 KB (7,974 words) - 11:19, 9 June 2025
stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane...
49 KB (6,215 words) - 16:40, 3 June 2025
Axonometric projection is a type of orthographic projection used for creating a pictorial drawing of an object, where the object is rotated around one...
12 KB (1,335 words) - 18:28, 25 May 2025
A 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface. These...
32 KB (4,468 words) - 03:26, 16 May 2025
Oblique projection is a simple type of technical drawing of graphical projection used for producing two-dimensional (2D) images of three-dimensional (3D)...
13 KB (1,586 words) - 09:36, 9 May 2025
geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is...
93 KB (13,800 words) - 15:47, 16 June 2025
projection (also orthogonal projection and analemma) is a means of representing three-dimensional objects in two dimensions. Orthographic projection is...
12 KB (1,668 words) - 00:11, 6 December 2024
In linear algebra, the trace of a square matrix A, denoted tr(A), is the sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...
37 KB (5,564 words) - 20:02, 25 May 2025
from front to back Projection (mathematics), any of several different types of geometrical mappings Projection (linear algebra), a linear transformation P...
4 KB (468 words) - 13:14, 23 January 2025
properties of the adjoint. A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties:...
20 KB (2,830 words) - 09:30, 14 January 2025
Perspective (graphical) (redirect from Perspective projection)
Linear or point-projection perspective (from Latin perspicere 'to see through') is one of two types of graphical projection perspective in the graphic...
35 KB (3,572 words) - 03:49, 16 May 2025
given sets Projection (mathematics) – Mapping equal to its square under mapping composition Projection (measure theory) Projection (linear algebra) – Idempotent...
2 KB (324 words) - 15:36, 16 May 2023
Curvilinear perspective (category Graphical projections)
Curvilinear perspective, also five-point perspective, is a graphical projection used to draw 3D objects on 2D surfaces, for which (straight) lines on the...
8 KB (993 words) - 16:14, 6 May 2025
Isometric projection is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an...
12 KB (1,431 words) - 18:25, 4 May 2025
Representation theory (redirect from Linear representation)
abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures...
56 KB (7,331 words) - 19:13, 5 June 2025
Cross product (section Lie algebra)
Multilinear Algebra. Hogben, L, ed. (2007). Handbook of Linear Algebra.[page needed] Arthur, John W. (2011). Understanding Geometric Algebra for Electromagnetic...
75 KB (11,568 words) - 03:03, 16 June 2025
shown dashed. Plan view or planform is defined as a vertical orthographic projection of an object on a horizontal plane, like a map. The term may be used in...
6 KB (807 words) - 12:41, 4 May 2025
Picture plane (category Perspective projection)
π and γ is called the ground line and denoted GR. ... the orthogonal projection of O upon π is called the principal vanishing point P...The line through...
5 KB (663 words) - 21:24, 15 January 2024
Neumann algebra. In particular a can be approximated in norm by linear combinations of orthogonal projections. The projections in a JBW algebra are closed...
19 KB (2,686 words) - 18:55, 1 March 2025
Spectral theorem (category Linear algebra)
In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented...
25 KB (3,852 words) - 23:00, 22 April 2025
In technical drawing and computer graphics, a multiview projection is a technique of illustration by which a standardized series of orthographic two-dimensional...
24 KB (3,180 words) - 19:55, 21 March 2025
Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional...
2 KB (241 words) - 06:53, 5 March 2023