Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more...
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Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual...
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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...
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differential calculus, there is no single uniform notation for differentiation. Instead, various notations for the derivative of a function or variable have...
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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...
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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...
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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...
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Matrix calculus (section Vector-by-vector)
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...
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field Vector notation, common notation used when working with vectors Vector operator, a type of differential operator used in vector calculus Vector product...
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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...
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Curl (mathematics) (redirect from Curl (vector calculus))
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
Linear predictor function (section Vector Notation)
}}\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...
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Frenet–Serret formulas (redirect from Unit tangent vector)
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...
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mathematics Scientific notation Semasiography Table of mathematical symbols Vector notation Modern Arabic mathematical notation Einstein, Albert (1905)...
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Vanishing point (section Vector notation)
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,...
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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...
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Lorentz force (section Translation to vector notation)
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)...
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Magnitude (mathematics) (section Vector spaces)
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\|...
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Triple product (redirect from Vector triple product)
{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...
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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...
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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...
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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...
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vectors and row vectors as rows, but separating row vector elements with commas and column vector elements with semicolons (see alternative notation 2...
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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...
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Surface integral (redirect from Surface integral of a vector field)
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...
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historically important to the development of quantum physics. Similar to vector notation, it is typically denoted by H ^ {\displaystyle {\hat {H}}} , where...
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corresponding (initial) vector space. The components of covectors (as opposed to those of vectors) are said to be covariant. In Einstein notation, covariant components...
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Tensor (redirect from Tensor on a vector space)
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...
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Angular momentum (redirect from Orbital angular momentum vector)
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