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- ...y of describing many problems in physics and other areas<ref>[[w:Geometric algebra]], Accessed on 27th August 2006.</ref>. ...atics. The primary goal of this learning project is to introduce Geometric Algebra in an accessible and fun way for people with a high school background in Ma ...10 KB (1,546 words) - 02:12, 25 February 2023
- ...the similarities and differences between certain rotations in 3D Geometric Algebra and the [[w:Lorentz transformation|Lorentz transformation]] that forms the * basic Geometric Algebra in 3 dimensions (see [[Investigating 3D Geometric Algebra]]). ...7 KB (1,082 words) - 07:32, 19 May 2023
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- ...rving diffeomorphisms of the circle. The representation theory of Virasoro algebra is rich, and has diverse applications in Mathematics and Physics. ''Vir'' is the Lie algebra over the field of complex numbers with the following generators: ...2 KB (251 words) - 23:03, 26 July 2017
- ...the similarities and differences between certain rotations in 3D Geometric Algebra and the [[w:Lorentz transformation|Lorentz transformation]] that forms the * basic Geometric Algebra in 3 dimensions (see [[Investigating 3D Geometric Algebra]]). ...7 KB (1,082 words) - 07:32, 19 May 2023
- ...perty''' is one of the three [[Basic Laws of Algebra|basic laws of regular algebra]]s that greatly simplify equations and the derivation of their solutions. I ...ree regular properties of an algebra are induced also in its corresponding geometric structure or 'space'. Thus, our graphical representations of two-dimensiona ...2 KB (351 words) - 22:21, 9 June 2012
- ...y of describing many problems in physics and other areas<ref>[[w:Geometric algebra]], Accessed on 27th August 2006.</ref>. ...atics. The primary goal of this learning project is to introduce Geometric Algebra in an accessible and fun way for people with a high school background in Ma ...10 KB (1,546 words) - 02:12, 25 February 2023
- ...space), as well as from that of [[../InfinityGroupoid/|higher dimensional algebra]] ([[../InfinityGroupoid/|HDA]]). Thus, the fundamental [[../IsomorphismCla ...3 KB (383 words) - 15:47, 12 September 2020
- == Use Cases for Geogebra - Algebra and Geometry == ...ometry and algebra. The application makes learning mathematics fun and the geometric construction part is more interactive and easy to work. We can construct tr ...3 KB (545 words) - 13:07, 1 October 2023
- ==Geometric Definition== The equivalence of this algebraic definition and the earlier geometric one is extremely important. Among many other things, it lets us calculate ...6 KB (1,148 words) - 10:47, 4 June 2023
- ..., linear maps between vector spaces, and matrices.<ref>[[Wikipedia: Linear algebra]]</ref> *'''[[Linear algebra (Osnabrück 2024-2025)/Part I]]''' ...6 KB (897 words) - 18:11, 14 October 2024
- ...tant [[../Formula/|theorems]] in algebraic topology and higher dimensional algebra, such as the [[../SingularComplexOfASpace/|generalized Van Kampen theorem]] ...2 KB (277 words) - 15:45, 12 September 2020
- ...tant [[../Formula/|theorems]] in algebraic topology and higher dimensional algebra, such as the [[../SingularComplexOfASpace/|generalized Van Kampen theorem]] ...2 KB (277 words) - 15:45, 12 September 2020
- # a "branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar hom '''Def.''' a "branch of topology that associates objects from abstract algebra to topological spaces"<ref name=AlgebraicTopologyWikt>{{ cite web ...5 KB (656 words) - 23:58, 30 August 2020
- that is, as a non-commutative `geometric' approach-- ''in the relativistic sense'' -- to [[../LQG2/|quantum gravity] ...rs]] and states. (Please see also the other PM entries on <math>C^*</math>-algebra and noncommutative topology.) ...3 KB (399 words) - 15:46, 12 September 2020
- ...algebraic variety <math>X</math> can be mapped into, or linked to, another geometric object <math>Y</math>, assuming that <math>\mathcal{G}</math> is ''[[../Abe ...al group), as well as from that of ''\htmladdnormallink{higher dimensional algebra'' {http://planetphysics.us/encyclopedia/HigherDimensionalAlgebra2.html} ([[ ...5 KB (697 words) - 04:42, 12 September 2020
- ...space), as well as from that of [[../InfinityGroupoid/|higher dimensional algebra]] ([[../InfinityGroupoid/|HDA]]). Thus, the fundamental [[../IsomorphismCla ...dieck]], 1984. "Esquisse d'un Programme", (1984 manuscript), published in "Geometric Galois Actions", L. Schneps, P. Lochak, eds., London Math. Soc. Lecture Not ...6 KB (711 words) - 12:39, 6 May 2023
- published as the "Geometric Galois Actions: The inverse Galois." (London now called "Higher Dimensional Algebra" that Alexander Grothendieck anticipated by several years). ...3 KB (450 words) - 04:32, 12 September 2020
- #Dualities in logic, example: De Morgan dual, Boolean algebra #Dual numbers- as in an associative algebra; (almost synonymous with double) ...5 KB (561 words) - 05:10, 12 September 2020
- #Logic duality: Dualities in logic, example: De Morgan dual, Boolean algebra #Dual numbers- as in an associative algebra; (almost synonymous with double) ...5 KB (586 words) - 05:10, 12 September 2020
- ...h are listed below. Vector spaces are the basic objects of study in linear algebra, and are used throughout mathematics, science, and engineering. ...behavior of vectors in more abstract vector spaces, which need not have a geometric interpretation. For example, the set of (real) polynomials forms a vector s ...12 KB (1,859 words) - 18:01, 6 September 2015
- For the multiplicative algebraic closure of an algebra <math display="inline"> </math>, more elements must added to an algebra: ...29 KB (4,249 words) - 18:35, 1 March 2025
- * (2) geometric aspects of algebraic operations in <math>\mathbb{C}</math> </math> geometric representation (the polar form). ...22 KB (3,389 words) - 08:09, 20 October 2024