Search results

[[File:Cayley sextic 001.svg|thumb|300x300px]] ...spiral]] family, first discussed by [[Colin Maclaurin]] in 1718. [[Arthur Cayley]] was the first to study the curve in detail and [[Raymond Clare Archibald] ...

...e spectrum in question is that of the [[Laplacian matrix]] associated to a family of quotients of a discrete group Γ; and the gap is that between the first a ...in Γ that is a [[symmetric set]] and [[generating set]], is an [[expander family]].<ref>{{harv|Breuillard|Oh|2014|loc=pages x, 343}}</ref> ...

{{short description|1=Family of curves of the form r^n = a^n cos(nθ)}} In [[algebraic geometry]], the '''sinusoidal spirals''' are a family of curves defined by the equation in [[polar coordinates]] ...

| 3 || 4 || [[Cayley's nodal cubic surface]] || 4 ...0.1016/j.crma.2013.09.009 | last=Escudero | first=Juan García | title=On a family of complex algebraic surfaces of degree 3''n'' | journal=C. R. Math. Acad. ...

{{short description|Family of triangle-free circulant graphs}} The graph family is triangle-free, and {{math|And(''n'')}} has an [[independence number]] of ...

...a classifying space, the [[Cayley graph]] of the group for this generating family is the 1-skeleton of its universal cover); ...is the 2-skeleton of a classifying space, whose universal cover has the [[Cayley complex]] as its 2-skeleton). ...

Ends of graphs may be used (via [[Cayley graph]]s) to define ends of [[finitely generated group]]s. Finitely generat ...n either there exists an end that is not free, or there exists an infinite family of rays that share a common starting vertex and are otherwise disjoint from ...

...regular graph|Strongly regular]]<br>[[Hamiltonian graph|Hamiltonian]]<br>[[Cayley graph]]<br>[[Vertex-transitive graph|Vertex-transitive]]<br>[[edge-transiti ...ph is the [[Keller's conjecture|Keller graph]] of dimension two, part of a family of graphs used to find tilings of high-dimensional [[Euclidean space]]s by ...

...et(''A'') is the [[determinant]] of ''A''. This result is due to [[Arthur Cayley]].<ref>{{cite journal | last1 = Cayley ...

{{Short description|Family of cubic graphs formed from regular and star polygons}} ...he ways of constructing the Petersen graph. The generalized Petersen graph family was introduced in 1950 by [[H. S. M. Coxeter]]<ref>{{citation | last = Coxe ...

...ations can be realized on functions on the circle or on the real line: the Cayley transform provides the unitary equivalence between the two realizations.<re The Cayley transform gives rise to an operator ''U'': ...

...>3</sub>{6}₂, {{CDD|3node_1|6|node}}. Its edge-diagram is the [[cayley diagram]] for ₃[3]₃. ...t MacDonald Coxeter|Coxeter, H. S. M.]] and Shephard, G.C.; Portraits of a family of complex polytopes, ''Leonardo'' Vol 25, No 3/4, (1992), pp 239–244 [http ...

...lar graph|Regular]]<br>[[Hamiltonian graph|Hamiltonian]]<br>[[Cayley graph|Cayley]]<br>[[Vertex-transitive graph|Vertex-transitive]]<br>[[Connectivity (graph ...Every pancake graph embeds in all higher-order pancake graphs of the same family.<ref name="girth"/> ...

The success of [[complex analysis]] in providing a rich family of [[holomorphic function]]s for scientific work has engaged some workers i ...is a classical application of quaternions to [[space]] mapping.<ref>{{harv|Cayley|1848|loc=especially page 198}}</ref> ...

...was their perpetual care, and they labored earnestly in bringing up their family in the fear of God."<ref>{{harvtxt|Ameuney|1860}}</ref> The obituary of one ...ir Charles Locock and a number of other fixtures contributed by Blissard's family and students. ...

The main idea of the proof is to observe that the [[Cayley graph]] of ''G'', with the addition of colors and orientations on its edges ...</ref> [[László Babai]] conjectures, more strongly, that each minor-closed family can represent only finitely many non-cyclic finite simple groups.<ref>{{har ...

! Names ||Image|| Family || [[Schläfli symbol|Schläfli]]<BR>[[Coxeter diagram|Coxeter]] || [[Vertex ...ge:4-simplex t0.svg|125px]] || [[simplex|''n''-simplex]]<br>(A_n family) || {3,3,3}<BR>{{CDD|node_1|3|node|3|node|3|node}}|| 5 || 10 || 10<br>[[tri ...

..., Kiev), a professor at the [[University of California, Los Angeles]]. The family emigrated to Israel in 1974 and in 1982 to the United States.{{cn|date=Sept ...oarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs.|year=2012|volume=176|issue=1|pages=221–260|doi=10.4007/annals.2012. ...

for every smooth family <math>A\colon for every smooth family <math>A\colon ...

{{defn|1= A family of dimension 1, 2, ...}} {{defn|A family or variety of dimension <math>1, 2, \ldots, n</math>. {{harv|Semple|Roth|19 ...