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{{Short description|Concept in mathematics}} In mathematics, the '''free factor complex''' (sometimes also called the '''c ...

...//www.maths.qmul.ac.uk/~raw/fsgs_files/intro.ps Chapter 1: Introduction]}} In the following, coincidences are organized according to the structures where ...ecial linear group]]s and [[alternating group]]s, and are:{{sfn|ps=|Wilson|2009|loc=[https://web.archive.org/web/20070824011953/https://www.maths.qmul.ac.u ...

In the area of modern algebra known as [[group theory]], the '''Fischer group' The [[outer automorphism group]] has order 2, and the [[Schur multiplier]] has order 6. ...

...13th century, MS. Bodl. Or. 62, fol. 59a. A [[Latin]] translation appears in the margins with further interlineations above the [[Hebrew language|Hebrew ...2:1-12), the use of the chambers (verses 13–14), and the dimensions of the outer court (verses 15–20).<ref name=jfb>Robert Jamieson, Andrew Robert Fausset; ...

...ve plane]] in connection with the [[Klein quartic]], it was first realized in the [[Euclidean plane]] by [[Branko Grünbaum]] and [[John Rigby (mathematic ...d lines with four points per line and four lines per point.{{sfnp|Grünbaum|2009|p=156}} ...

| known_for = [[Out(Fn)#Outer space|Culler–Vogtmann Outer space]] ...arly useful in the study of the [[group (mathematics)|group]] of [[Out(Fn)|outer automorphisms of the free group on ''n'' generators, Out(''F''<sub>''n''</s ...

[[File:HarmonicDriveAni.gif|thumb|{{Bulleted list|Outer circle: circular spline (fixed)|Middle circle: flex spline (attached to out ...with the [[Gear#External versus internal gears|internal gear]] teeth of an outer spline. ...

...new concepts which were not anticipated when Ambisonics was first invented in the 1970s. ...Instead, the unused components are simply left out, or, where bandwidth or space is not at a premium, zeroed. ...

...ight Director |date=December 1, 2002 |publisher=NASA |access-date=June 14, 2009}}</ref> For objects launched into orbit, the solar beta angle of [[Inclined ...tude]] have the same exposure to the Sun, even though they may be orbiting in different planes around [[Earth]].<ref name="orbit"/> ...

...''R'''-trees]]. It was introduced in unpublished work of [[Eliyahu Rips]] in about 1991. An '''R'''-tree is a uniquely [[arcwise-connected]] [[metric space]] in which every arc is isometric to some real interval. Rips proved the conjec ...

|image_name = Hs-2009-23-crop.jpg ...e.html?ref=science|date=2009-07-24|work=[[The New York Times]]|access-date=2009-07-25}}</ref><ref name="hubblesite"/> ...

{{Short description|Second order tensor in vector algebra}} ...ducts of vector spaces|order]] [[tensor]], written in a notation that fits in with [[Vector calculus|vector algebra]]. ...

...way that makes it possible to extend concepts such as [[dimension (vector space)|dimension]] and [[determinant]] to an infinite-dimensional situation. Tate A typical example of a Tate vector space over a [[field (mathematics)|field]] ''k'' are the [[Laurent series|Laurent ...

...13th century, MS. Bodl. Or. 62, fol. 59a. A [[Latin]] translation appears in the margins with further interlineations above the [[Hebrew language|Hebrew '''Ezekiel 41''' is the forty-first chapter of the [[Book of Ezekiel]] in the [[Hebrew Bible]] or the [[Old Testament]] of the [[Christianity|Christi ...

...in the region surrounding an electrically charged, rotating mass embedded in an expanding universe. It generalizes the [[Kerr–Newman metric]] by taking ...e journal|last1=Stuchlik|last2=Bao|last3=Østgaard|title=Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes|journal ...

...terials are selected to be moisture tolerant and integrated with flashing. In some cases a rainscreen wall is called a ''pressure-equalized rainscreen'' ...o.it/whitepaper_library/RainScreenPrinciple.pdf ''The Rainscreen Principle in Design'', National Research Council of Canada]. Retrieved 2013-12-01</ref> ...

{{Short description|Radio-astronomy observatory in Western Australia}} ...ies in a designated [[radio quiet zone]] located near [[Boolardy Station]] in the [[Murchison Shire]] of [[Western Australia]], about {{convert|800|km}} ...

[[File:IRS46 nasa.jpg|right|300px|thumb|Illustration of a dusty disk in orbit around a young star]] ...sun slow the rates of pebble accretion in the inner Solar System resulting in smaller terrestrial planets, a small mass of [[Mars]] and a low mass astero ...

...e group [[SL(2,R)]] [[group action|acts]] on the [[Heisenberg group]] by [[outer automorphism]]s, and the Schrödinger group is the corresponding [[semidirec ...chrödinger group. It is not [[semisimple Lie algebra|semi-simple]]. In one space dimension, it can be obtained as a semi-direct sum of the Lie algebra [[SL2 ...

...h|'''R'''^{''p''+1,''q''+1}}}. This allows operations on the base space, including reflections, rotations and translations to be represented using ...ns also acquire a tidy algebraic form: for example, for the Euclidean base space {{math|'''R'''³}}, applying the [[wedge product]] to the dual of ...