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- ...ts, Q-vectors point toward upward motion and away from downward motion. Q-vectors are an alternative to the [[omega equation]] for diagnosing vertical motion ...]] flow exist to preserve [[thermal wind]] balance. Therefore, low level Q-vectors tend to point in the direction of low-level ageostrophic winds.<ref>{{cite ...6 KB (1,004 words) - 11:57, 24 August 2023
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- ...efer to one of several operations between two (or more) [[Euclidean vector|vectors]]. It may concern any of the following articles: ...magnitudes of the two vectors and the cosine of the angle between the two vectors. Alternatively, it is defined as the product of the projection of the first ...4 KB (601 words) - 23:32, 14 September 2024
- ...mputation]], and [[random matrix theory]], a probability distribution over vectors is said to be in '''isotropic position''' if its [[covariance matrix]] is e Let <math display="inline">D</math> be a distribution over vectors in the vector space <math display="inline">\mathbb{R}^n</math>. ...2 KB (268 words) - 07:14, 19 September 2024
- [[File:Sylvester theorem1.svg|thumb|upright=1.5|sum of three equal lengthed vectors]] ...n of the sum of three pairwise distinct [[vector (mathematics and physics)|vectors]] of equal length in the context of [[triangle geometry]]. It is also refer ...3 KB (499 words) - 08:25, 23 September 2024
- .../math>, <math> b\in H</math>. In right vector space, linear composition of vectors <math> v</math> and <math> w</math> has form <math> va+wb</math>. ...ft quaternionic vector space <math> H^n</math> we use componentwise sum of vectors and product of vector over scalar ...2 KB (331 words) - 04:52, 8 November 2024
- ...trongly correlated. (More generally, if the vectors involved are not unit vectors, then strong correlation means that <math>| \langle u, v \rangle | \approx ...nequality will be large, which then forces a significant proportion of the vectors <math>u_{i}</math> to be strongly correlated with one another. ...3 KB (535 words) - 10:36, 18 March 2021
- ...nction of a lattice''' is a function whose coefficients give the number of vectors of a given norm. ...that the coefficient of ''q''<sup>''n''</sup> gives the number of lattice vectors of norm 2''n''. ...1 KB (159 words) - 07:36, 27 June 2024
- ...ently (and therefore might conflict with each other). In this way, version vectors enable [[causality]] tracking among data replicas and are a basic mechanism Version vectors maintain state identical to that in a [[vector clock]], but the update rule ...5 KB (731 words) - 23:21, 9 May 2023
- When the two random vectors are the same, the cross-covariance matrix is referred to as [[covariance ma The cross-covariance matrix of two random vectors <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> is typically denoted by ...7 KB (1,131 words) - 13:34, 29 January 2025
- ...er of rows exceeds the number of columns, then the columns are orthonormal vectors. ...ogonal matrix with more rows than columns preserves the [[dot product]] of vectors, and therefore acts as an isometry of [[Euclidean space]], such as a [[rota ...2 KB (303 words) - 19:36, 12 August 2023
- The lattice II<sub>25,1</sub> is given by all vectors (''a''<sub>1</sub>,...,''a''<sub>26</sub>) *H is the 2-dimensional even Lorentzian lattice, generated by 2 norm 0 vectors ''z'' and ''w'' with inner product –1, ...8 KB (1,132 words) - 07:14, 7 May 2024
- ...The end-to-end vector <math>\vec{R}</math> is the sum of these translation vectors: ...1 KB (220 words) - 19:29, 19 December 2021
- ...a system in order to test that system. In [[software development]], test vectors are a methodology of [[software testing]] and [[software verification and v ...<math>X</math> is an input vector. While testing the system, various test vectors must be used to examine the system's behavior with differing inputs. ...2 KB (403 words) - 16:03, 3 February 2025
- ...ndexed family|<math>I</math>-indexed]] [[Basis (linear algebra)|basis]] of vectors for <math>V.</math> [[Category:Vectors (mathematics and physics)]] ...2 KB (267 words) - 22:03, 4 May 2024
- === ''n'' vectors in ''n''-dimensional space === ..., ||'''v'''<sub>2</sub>||, ... ||'''v'''<sub>''n''</sub>|| rather than the vectors themselves. Also see Ericksson.<ref>{{cite journal | last1 = Eriksson | fir ...8 KB (1,093 words) - 18:56, 24 January 2024
- ...ue shape, in the sense that any two polytopes described by the same set of vectors are [[Translation (geometry)|translates]] of each other.{{r|grunbaum}} ...er-dimensional subspace of the higher-dimensional space, and these sets of vectors can be combined without regard to the dimensions of the spaces they span.{{ ...6 KB (908 words) - 15:39, 12 October 2022
- ...a suitable collection of vectors of quaternions is zero if and only if the vectors are linearly dependent. ...2 KB (234 words) - 02:54, 4 February 2025
- ...e Theory of Error-Correcting Codes'', Elsevier, New York, 1978.</ref> Two vectors ''x'', ''y'' ∈ ''X'' are called ''i''th associates ...1 KB (236 words) - 18:23, 11 August 2023
- ...metric algebra|geometric product]]. This product makes the manipulation of vectors more similar to the familiar algebraic rules, although non-[[abelian algebr ...re [[scalar (mathematics)|scalars]] ({{math|1=''r'' = 0}}), [[vector space|vectors]] ({{math|1=''r'' = 1}}) and [[bivector]]s ({{math|1=''r'' = 2}}). ...8 KB (1,304 words) - 21:21, 19 January 2025
- ...l{F}^n,</math> the set of binary vectors of length <math>n,</math> and two vectors <math>x, y\in \mathcal{F}^n</math> are <math>i</math>-th associates if they .../math> [[Matrix (mathematics)|matrices]], with rows and columns labeled by vectors <math>x\in \mathcal{F}^n.</math> In particular the <math>(x,y)</math>-th en ...2 KB (412 words) - 06:59, 10 February 2025
- ...ks an orthogonal rotation of the observed mixed vectors to estimate source vectors which possess high values of excess kurtosis. ...</math> columns correspond to observations of <math>m</math>-variate mixed vectors. It is assumed that <math>\mathbf{X}</math> is ''prewhitened'', that is, it ...2 KB (337 words) - 22:27, 25 January 2024