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- ...01933 | date=2 December 2012 |publisher=North-Holland|chapter=5.4 The Wang-algebra formulation|pages=332–352}} [https://books.google.com/books?id=kAcBm96mUvsC ...ournal of Electronics |volume=27 |issue=2 |pages=101–117 }}</ref> The Wang algebra formulation has been used to systematically generate King-Altman directed g ...5 KB (757 words) - 21:29, 30 November 2023
- ...('''APS''') is the use of the [[Clifford algebra|Clifford]] or [[geometric algebra]] Cl<sub>3,0</sub>('''R''') of the three-dimensional [[Euclidean space]] as ...o the even subalgebra Cl{{su|p=[0]|b=3,1|lh=1em}}('''R''') of the Clifford algebra Cl<sub>3,1</sub>('''R'''). ...11 KB (1,521 words) - 15:56, 1 October 2023
Page text matches
- ...01933 | date=2 December 2012 |publisher=North-Holland|chapter=5.4 The Wang-algebra formulation|pages=332–352}} [https://books.google.com/books?id=kAcBm96mUvsC ...ournal of Electronics |volume=27 |issue=2 |pages=101–117 }}</ref> The Wang algebra formulation has been used to systematically generate King-Altman directed g ...5 KB (757 words) - 21:29, 30 November 2023
- ...thing that "flows" in the current is the "charge", the charge is the [[Lie algebra|generator of the (local) symmetry group]]. This charge is sometimes called ...erators correspond to the simple roots of the [[root system]] of the [[Lie algebra]]; the [[discrete topology|discreteness]] of the root system accounting for ...9 KB (1,310 words) - 11:28, 22 December 2023
- ...('''APS''') is the use of the [[Clifford algebra|Clifford]] or [[geometric algebra]] Cl<sub>3,0</sub>('''R''') of the three-dimensional [[Euclidean space]] as ...o the even subalgebra Cl{{su|p=[0]|b=3,1|lh=1em}}('''R''') of the Clifford algebra Cl<sub>3,1</sub>('''R'''). ...11 KB (1,521 words) - 15:56, 1 October 2023
- ...en here corresponds to that as a linear operator or tensor; the [[Exterior algebra#Rank of a k-vector|rank as defined for a ''k''-vector]] is half that given where the rank refers to the [[rank (linear algebra)|rank]] of the linear operator ''F''.{{clarify|reason=It would be nice to k ...8 KB (1,152 words) - 15:36, 16 February 2024
- ...rough [[differential equation]]s and [[statistics]]. Most courses involve algebra and calculus. ...3 KB (393 words) - 00:46, 15 March 2023
- {{see also|Outline of algebra|Outline of algebraic structures}} *[[Algebra]] ...16 KB (1,871 words) - 10:47, 24 February 2024
- {{Short description|Eight-dimensional algebra over the real numbers}} ...fies {{nowrap|1=ε<sup>2</sup> = 0}} and commutes with every element of the algebra. ...30 KB (4,641 words) - 14:35, 5 January 2024
- ...function]] is polynomially related to the logarithm of the [[Rank (linear algebra)|rank]] of its input matrix.<ref>{{citation ...4 KB (494 words) - 10:29, 17 December 2023
- ...our'' equations in [[vector calculus]] reduce to ''one'' equation in the [[algebra of physical space]]: [[Category:Geometric algebra]] ...14 KB (1,941 words) - 13:39, 18 December 2023
- ...each [[second]], or [[Power (physics)|power]], increases as the [[square (algebra)|square]] of the current through the windings and in [[proportionality (mat ...4 KB (550 words) - 11:44, 6 September 2023
- ...s, <math>\mu</math> and <math>\nu</math>, while it is also [[Trace (linear algebra)|traceless]] with respect to any two indices, as well as divergence-free wi ...l zilches were found. According to this work, there is a hidden invariance algebra of free Maxwell equations in potential form that is related to the conserva ...10 KB (1,328 words) - 18:10, 28 February 2024
- ...roducts of a numeric value with a unit symbol, e.g. "12.7 m". Unlike algebra, the unit symbol represents a measurable quantity such as a meter, not an [ ...4 KB (542 words) - 04:43, 29 January 2024
- ...ches the conclusion that they form a group and, more specifically, a [[Lie algebra|Lie transformation group]] if one considers continuous, finite symmetry tra ...nitesimal rather than finite transformations, i.e. one considers the [[Lie algebra]] rather than the Lie group of transformations ...10 KB (1,396 words) - 12:38, 11 November 2023
- ==Geometric algebra formulations== ...ield]] and one for the [[current density]], are introduced. In [[geometric algebra]] (GA) these are [[multivector]]s which sometimes follow [[Ricci calculus]] ...42 KB (6,427 words) - 17:25, 15 February 2024
- ...pression in [[linear algebra]] and differential geometry. Using [[exterior algebra]] to construct a 2-form ''F'' from electric and magnetic fields, and ...11 KB (1,532 words) - 13:02, 12 January 2024
- ...e module]] is a [[module (mathematics)|module]] that has a [[basis (linear algebra)|basis]]''" is perfectly correct, although it appears only as a grammatical ...6 KB (789 words) - 14:12, 11 May 2023
- ...oining the rotating point with the center of rotation), or [[basis (linear algebra)|basis set]], or [[coordinate system]].</ref> The same is true for other [ ...]). All these methods actually define the orientation of a [[basis (linear algebra)|basis set]] (or [[coordinate system]]) which has a fixed orientation relat ...23 KB (3,631 words) - 17:30, 28 September 2023
- | The tensor <math>T^{\nu}{}_{\alpha}</math> is [[Trace (linear algebra)|traceless]]: ...8 KB (1,135 words) - 01:19, 26 February 2024
- ...t |first3=John G. |last4=Abbott |first4=Derek |date=2016 |title=The Vector Algebra War: A Historical Perspective |url=http://dx.doi.org/10.1109/access.2016.25 ...rchive.org/details/vectorcalculusli0000hubb |title=Vector calculus, linear algebra, and differential forms : a unified approach |date=2009 |publisher=Ithaca, ...16 KB (2,499 words) - 00:56, 20 February 2024
- ...Y_{ij} \neq Y_{ji} , etc.</math>) and networks of arbitrary size, but the algebra becomes more complex. The trick is to deduce and/or calculate an expressio ...7 KB (1,131 words) - 23:02, 5 March 2024
