• Thumbnail for Vector notation
    Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...
    24 KB (3,265 words) - 23:20, 10 September 2024
  • Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual...
    42 KB (6,315 words) - 04:58, 4 September 2024
  • basis. In recognition of this fact, the following notation uses the same symbol both for a vector or covector and its components, as in: v = v i e i...
    14 KB (1,960 words) - 21:10, 3 October 2024
  • differential calculus, there is no single uniform notation for differentiation. Instead, various notations for the derivative of a function or variable have...
    34 KB (4,888 words) - 20:28, 10 September 2024
  • 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...
    17 KB (1,799 words) - 04:09, 6 September 2024
  • Thumbnail for 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...
    13 KB (1,875 words) - 02:33, 11 October 2024
  • Thumbnail for Cross product
    Cross product (redirect from Vector product)
    name vector product), although in pure mathematics such notation is usually reserved for just the exterior product, an abstraction of the vector product...
    75 KB (11,475 words) - 18:39, 5 September 2024
  • Matrix notation serves as a convenient way to collect the many derivatives in an organized way. As a first example, consider the gradient from vector calculus...
    85 KB (7,036 words) - 06:55, 11 May 2024
  • field Vector notation, common notation used when working with vectors Vector operator, a type of differential operator used in vector calculus Vector product...
    10 KB (2,694 words) - 10:30, 7 October 2024
  • familiar) cases are vectors (1d arrays) and matrices (2d arrays). The following is only an introduction to the concept: index notation is used in more detail...
    10 KB (1,547 words) - 14:14, 20 May 2024
  • Thumbnail for Curl (mathematics)
    surface integral of the curl of a vector field to the line integral of the vector field around the boundary curve. The notation curl F is more common in North...
    34 KB (4,936 words) - 14:18, 10 September 2024
  • }}\cdot \mathbf {x} _{i}} using the notation for a dot product between two vectors. An equivalent form using matrix notation is as follows: f ( i ) = β T x...
    14 KB (2,134 words) - 15:37, 26 December 2023
  • Thumbnail for Frenet–Serret formulas
    Frenet, in his thesis of 1847, and Joseph Alfred Serret, in 1851. Vector notation and linear algebra currently used to write these formulas were not...
    33 KB (4,888 words) - 06:38, 31 August 2024
  • mathematics Scientific notation Semasiography Table of mathematical symbols Vector notation Modern Arabic mathematical notation Einstein, Albert (1905)...
    13 KB (1,558 words) - 10:52, 6 October 2024
  • Thumbnail for Vanishing point
    referred to as the "direction point", as lines having the same directional vector, say D, will have the same vanishing point. Mathematically, let q ≡ (x,...
    15 KB (1,859 words) - 02:21, 28 April 2024
  • Del (redirect from Vector differential)
    vector. This is part of the value to be gained in notationally representing this operator as a vector. Though one can often replace del with a vector...
    21 KB (3,908 words) - 08:32, 3 October 2024
  • Thumbnail for Lorentz force
    half in front of the formula. Oliver Heaviside invented the modern vector notation and applied it to Maxwell's field equations; he also (in 1885 and 1889)...
    60 KB (8,548 words) - 21:18, 7 September 2024
  • distance between its tail and its tip. Two similar notations are used for the Euclidean norm of a vector x: ‖ x ‖ , {\displaystyle \left\|\mathbf {x} \right\|...
    8 KB (1,316 words) - 04:54, 24 June 2024
  • {e} &\mathbf {c} \cdot \mathbf {f} \end{bmatrix}}} This restates in vector notation that the product of the determinants of two 3×3 matrices equals the...
    18 KB (3,014 words) - 13:38, 4 October 2024
  • century, and most of the notation and terminology was established by Gibbs and Edwin Bidwell Wilson in their 1901 book, Vector Analysis. In its standard...
    21 KB (2,101 words) - 08:33, 12 September 2024
  • the vector ⟨ x 11 , x 22 , x 12 ⟩ . {\displaystyle \langle x_{11},x_{22},x_{12}\rangle .} As another example: The stress tensor (in matrix notation) is...
    8 KB (1,380 words) - 22:29, 24 March 2024
  • Derivative (redirect from Prime notation)
    multiple different notations for differentiation, two of the most commonly used being Leibniz notation and prime notation. Leibniz notation, named after Gottfried...
    57 KB (7,280 words) - 01:42, 12 September 2024
  • vectors and row vectors as rows, but separating row vector elements with commas and column vector elements with semicolons (see alternative notation 2...
    9 KB (1,260 words) - 03:12, 15 August 2024
  • Thumbnail for Euclidean vector
    physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude...
    61 KB (9,100 words) - 00:24, 24 September 2024
  • Thumbnail for Surface integral
    the vector notation for the surface element). We may also interpret this as a special case of integrating 2-forms, where we identify the vector field...
    15 KB (2,251 words) - 09:54, 4 October 2024
  • historically important to the development of quantum physics. Similar to vector notation, it is typically denoted by H ^ {\displaystyle {\hat {H}}} , where...
    27 KB (4,903 words) - 04:26, 29 August 2024
  • Thumbnail for Covariance and contravariance of vectors
    corresponding (initial) vector space. The components of covectors (as opposed to those of vectors) are said to be covariant. In Einstein notation, covariant components...
    34 KB (5,426 words) - 19:30, 21 September 2024
  • Thumbnail for Tensor
    transposed vectors and by applying the rules of matrix multiplication, but the tensor product should not be confused with this. There are several notational systems...
    69 KB (9,351 words) - 11:50, 3 October 2024
  • {\displaystyle \varepsilon } and μ {\displaystyle \mu } . In four-vector notation used in special relativity, the wave equation can be written as ∂ 2...
    29 KB (4,688 words) - 19:09, 15 May 2024
  • Thumbnail for Angular momentum
    about the center of rotation – circular, linear, or otherwise. In vector notation, the orbital angular momentum of a point particle in motion about the...
    93 KB (13,467 words) - 00:22, 24 September 2024