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- ...th> and the NP curvature scalar <math>\Lambda</math>. Physically, Ricci-NP scalars are related with the energy–momentum distribution of the spacetime due to [ ...ion <math>\{(-,+,+,+); l^a n_a=-1\,,m^a \bar{m}_a=1\}</math>, the Ricci-NP scalars are defined by<ref name=refNP1>Jeremy Bransom Griffiths, Jiri Podolsky. ''E ...8 KB (1,295 words) - 17:36, 12 August 2019
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- ...= M\otimes_R S</math>, the '''induced module,''' formed by '''extension of scalars,''' ...}_R(S, M)</math>, the '''coinduced module,''' formed by '''co-extension of scalars,''' and ...9 KB (1,496 words) - 02:33, 9 January 2025
- ...th> and the NP curvature scalar <math>\Lambda</math>. Physically, Ricci-NP scalars are related with the energy–momentum distribution of the spacetime due to [ ...ion <math>\{(-,+,+,+); l^a n_a=-1\,,m^a \bar{m}_a=1\}</math>, the Ricci-NP scalars are defined by<ref name=refNP1>Jeremy Bransom Griffiths, Jiri Podolsky. ''E ...8 KB (1,295 words) - 17:36, 12 August 2019
- ...'}}-vector''' is a generalization of the concept of [[Scalar (mathematics)|scalars]] and [[Euclidean vector|vector]]s to include ''simple'' [[bivector]]s, [[t ...they are elements of a one-dimensional space that is distinct from regular scalars. ...7 KB (1,024 words) - 21:20, 19 January 2025
- ...tle=Lower bounds for the Bohnenblust--Hille inequalities: the case of real scalars|journal=Proceedings of the American Mathematical Society|date=2014|issue=13 ...2 KB (351 words) - 17:44, 21 June 2023
- ...of rings#Relation between the extension of scalars and the restriction of scalars}} ...math>, whereas the [[Change of rings#Restriction of scalars|restriction of scalars]] <math>{_{K[H]}}N</math> corresponds to the restriction <math>\operatornam ...9 KB (1,379 words) - 14:56, 23 September 2023
- for some <math>I</math>-indexed family of scalars <math>\left(a_i\right)_{i \in I}</math> where all but finitely many <math>a ...2 KB (267 words) - 22:03, 4 May 2024
- where '''F''' is the [[field (mathematics)|field]] of scalars. A representation of a group ''G'' preserves ''ω'' if ...2 KB (251 words) - 06:44, 13 May 2024
- Relative scalars are an important special case of the more general concept of a [[relative t There are many physical quantities that are represented by ordinary scalars, such as temperature and pressure. ...7 KB (1,125 words) - 16:33, 9 May 2023
- ...ars in <math>\mathcal{N}=2</math> vector multiplets, is independent of the scalars in the hypermultiplets. Therefore the vacuum manifold is locally a product ...8 KB (1,141 words) - 11:01, 26 May 2024
- where ''x'' ∈ '''R'''<sup>''n''</sup>, ''ξ'',''u'',''y'' are scalars, and ''A'',''b'',''c'' and ''d'' have commensurate dimensions. The nonlinea ...2 KB (288 words) - 21:17, 11 April 2023
- :in Λ''V''. Then there are scalars ''h''<sub>''ij''</sub> = ''h''<sub>''ji''</sub> such that ...3 KB (406 words) - 17:31, 10 May 2021
- ...rmalism#Maxwell-NP scalars.2C Maxwell equations in NP formalism|Maxwell-NP scalars]] <math>\phi_i</math> and other quantities in NP formalism. There are three ...respectively find out the spin coefficients, Weyl-Np scalars and Ricci-NP scalars that ...16 KB (2,551 words) - 11:46, 30 July 2023
- ...several {{mvar|r}}-vectors. Some ''r''-vectors are [[scalar (mathematics)|scalars]] ({{math|1=''r'' = 0}}), [[vector space|vectors]] ({{math|1=''r'' = 1}}) a ...{{math|{{mset|''x''}}}} is not closed under addition and multiplication by scalars. This set is ''not'' a vector space. At every point the vectors generate a ...8 KB (1,304 words) - 21:21, 19 January 2025
- ...scalar|Weyl-NP]] and [[Ricci scalars (Newman–Penrose formalism)|Ricci-NP]] scalars are The [[Weyl scalar|Weyl-NP]] and Ricci-NP scalars are given by ...21 KB (3,265 words) - 22:00, 21 November 2024
- Consider a vector space ''V'' with scalars in <math> \mathbb K</math>, and a mapping : If this space has an infinite orthonormal set, then the division ring of scalars is either the field of real numbers, the field of complex numbers, or the r ...7 KB (959 words) - 16:29, 7 December 2023
- ...x number. This explains why the singular cohomology must be [[extension of scalars|tensored]] to '''C''', and from this point of view, '''C''' can be said to ...'G<sub>K</sub>''-action, a "Frobenius" φ, and a filtration after extending scalars from ''K''<sub>0</sub> to ''K''. He conjectured<ref>{{harvnb|Fontaine|1982} ...16 KB (2,386 words) - 23:38, 19 December 2024
- ...onents <math>p_i</math>,<math>x_i</math> and the radius <math>r</math> are scalars. In an inverse square potential system, if a wavefunction <math>\psi (r)</m ...4 KB (591 words) - 20:58, 11 September 2024
- ...arity properties of the original linear map. For example, we see that for scalars <math>\alpha</math>, <math>\beta</math> and vectors <math>x</math>, <math>y ...<math>x</math> may be written as <math>x=1\wedge x</math>, it follows that scalars are unaffected with <math>\underline{\mathsf{f}}(1)=1</math>.{{efn|Except f ...10 KB (1,590 words) - 21:27, 19 January 2025
- When ''A'' and ''B'' are real scalars (i.e. ''n'' = 1), the Loewner order reduces to the usual ordering of '''R'' ...4 KB (530 words) - 18:41, 7 February 2025
- ...cal scalars|expansion]]-free), <math>\sigma\,\hat{=}\,0</math> ([[Optical scalars|shear]]-free), ...10 KB (1,486 words) - 14:07, 16 November 2020