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• Hodge duality
  ...e $V$ of dimension $n$. For each integer $k$ with $0 ≤ k ≤ n$, the ''Hodge star operator'' establishes a one-to-one mapping from the space of $k$-vectors $ $$\star : \Lambda ^k (V)\rightarrow \Lambda ^{n-k}(V).$$
  613 bytes (95 words) - 18:10, 27 August 2015
• Homology groups of graphs
  ...ment of our group including zero (white). Meanwhile, we mark one -- with a star -- in each as a representative. ...ps of the graph of $n$ edges arranged in (a) a string, (b) a circle, (c) a star.
  28 KB (4,685 words) - 17:25, 28 November 2015
• Integrals of functions of several variables
  The motion of two planets (or a star and a planet, or a planet and a satellite, etc.) is governed by a single fo
  73 KB (13,324 words) - 14:06, 24 November 2018
• Cubical tangent bundle
  ...int union of all ''tangent spaces'' with each simply the $1$-dimensional [[star]] of the vertex:
  3 KB (438 words) - 04:30, 27 May 2013
• Manifolds model a curved universe
  Experiment 1: with light from a star passing the sun and deviating from straight line.
  10 KB (1,588 words) - 17:11, 27 August 2015
• Current students' projects
  **the [[Hodge star operator]] for forms,
  4 KB (527 words) - 14:04, 25 August 2013
• Multilinear algebra
  ...of $K$ is the set of $1$-chains over $R$ generated by the $1$-dimensional star of the vertex $A$: [[image:boundary on star.png|center]]
  49 KB (8,852 words) - 00:30, 29 May 2015
• Discrete Calculus. An Introduction
  ##[[Discrete Hodge star operator]]
  4 KB (466 words) - 19:07, 8 July 2014
• Nerve of cover of sphere
  ...[[tetrahedron]], as a 2-dimensional [[simplicial complex]], and use the [[star of vertex|stars]] of its vertices to build an open cover on the sphere. Of
  763 bytes (118 words) - 12:22, 12 August 2015
• Discrete calculus: contributors
  *''W. V. D. Hodge'': the [[Hodge star operator]], the [[Hodge decomposition]];
  2 KB (228 words) - 20:59, 18 January 2018
• Notation
  *${\rm St}_A(K) \quad$ the star of vertex $A$ in complex $K$;
  8 KB (1,519 words) - 16:30, 1 December 2015
• Elections
  ...that include a particular pairwise vote, such as $1>3$, correspond to the star of this vertex, such as $U_{13}$.
  33 KB (5,872 words) - 13:13, 17 August 2015
• Adjoint
  where the star indicates the [[dual space]]. Then the above equation is understood via eva
  677 bytes (108 words) - 04:12, 13 March 2013
• Operations on functions
  Among all this complexity, the point marked with star is fixed. $\square$
  142 KB (23,566 words) - 02:01, 23 February 2019
• Elementary ODEs
  For the general uniform case, $\Delta_n=\Delta_n^\star=h$, we know from the last section that $f(n)=\sin tn$ and $f(n)=\cos tn $ s
  16 KB (2,913 words) - 22:40, 15 July 2016
• Advanced Topology -- Spring 2013
  #[[Discrete Hodge star operator]]
  5 KB (725 words) - 14:49, 8 May 2013
• Peter Saveliev's Academic Portfolio
  **Gregory Trude, Koehler-Bright Star, Inc.
  25 KB (3,536 words) - 14:28, 17 January 2017
• Functions of several variables: derivatives and integrals
  The motion of two planets (or a star and a planet, or a planet and a satellite, etc.) is governed by a single fo
  42 KB (6,904 words) - 15:15, 30 October 2017
• Applications of ODEs
  The motion of two planets (or a star and a planet, or a planet and a satellite, etc.) is governed by a single fo
  50 KB (8,692 words) - 14:29, 24 November 2018
• Surfaces and their homology
  Note: This collection of simplices is called the [[star of vertex]] $A$. For a related construction see [[Nerve of cover]].
  17 KB (2,696 words) - 00:47, 12 January 2014
• Geometry in calculus
  ...int union of all ''tangent spaces'' with each simply the $1$-dimensional [[star]] of the vertex:
  9 KB (1,604 words) - 18:08, 27 August 2015
• Center of mass
  ...for a given object makes sense in the first place (like circle, rectangle, star, anything with a central symmetry) and the gray values are distributed symm
  2 KB (352 words) - 14:20, 28 September 2010
• Topology
  ...om an unexpected direction and, as a result, appear to come from a distant star:
  20 KB (3,407 words) - 21:46, 30 November 2015
• Hodge star operator
  #REDIRECT [[Discrete Hodge star operator]]
  42 bytes (5 words) - 03:46, 21 April 2013
• Centroid
  ...for a given object makes sense in the first place (like circle, rectangle, star, anything with a central symmetry), then
  2 KB (346 words) - 14:56, 9 October 2010
• Triangulations of surfaces
  Note: This collection of simplices is called the [[star of vertex]] $A$. For a related construction see [[Nerve of cover]].
  3 KB (505 words) - 18:17, 27 August 2015
• Combinatorial cell maps
  ...X\to Y$ is a cell map. Then “in the vicinity of point $a$” becomes “in the star of vertex $A$”:
  31 KB (5,330 words) - 22:14, 14 March 2016
• Vector fields
  '''Example.''' Below we have: a hypothetical star (orange) is orbited by a planet (blue) which is also orbited by its moon (p
  91 KB (16,253 words) - 04:52, 9 January 2019
• Computational science training: 2012
  ...e_and_Hodge_duality:_part_1#Hodge_duality_in_.24.7B.5Cbf_R.7D.5E2.24|Hodge star operator]].
  5 KB (732 words) - 17:42, 8 April 2013

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