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• Notation
  *$\dot{\sigma} \quad$ the interior/inside of cell $\sigma$; $X,Y$ cell complexes, $M,N$ chain complexes
  8 KB (1,519 words) - 16:30, 1 December 2015
• Peter Saveliev's Academic Portfolio
  What is commonly done is to go back to continuous functions via approximation, interpolation, curve fitting, etc. This approach introduces errors in your *''[[Cell counting|A topological approach to cell counting]]'' (with A. Pahwa), Proceedings of Workshop on Bio-Image Informat
  25 KB (3,536 words) - 14:28, 17 January 2017
• Zachary Ahlers
  ...ed a white halo where the temperature was between 2 and 3 degrees (initial cell at 10000 degrees) after 2000 steps. From right to left they are: standard c So even with a massive decrease in heat flow on the two short legs of each cell, isotropy eludes us, and it would seem reasonable to conclude that the only
  8 KB (1,315 words) - 15:20, 10 August 2012
• Integrals of functions of several variables
  We can see each row of bars as an approximation of the ''area'' of a slice of the sphere, which is another circle... ...nd gives us the ''amount'' of some material contained in the corresponding cell. Then the total amount of the material in the whole rectangle is simply the
  73 KB (13,324 words) - 14:06, 24 November 2018
• More about manifolds
  Recall that for each cell that belongs to the complex, so do all of its faces. What if this $n$-compl #An ($n-1$)-cell is a face of one or two $n$-cells.
  9 KB (1,542 words) - 19:58, 21 January 2014
• Isotropy in numerical PDEs
  ...the [[heat equation]], the idea is that the change in temperature of a 2-[[cell]] is directly proportional to the difference between its temperature and th ...iscretization to the problem via analytical study. We can't go straight to approximation.
  10 KB (1,593 words) - 13:20, 8 April 2013
• Precalculus
  This is very important for expressing a value located in one cell in terms of values located in other cells -- via formulas. $\square$ ...ise, isn't the exact equality $P=100$ but test whether it is a good enough approximation, within $1$ yard:
  100 KB (16,148 words) - 20:04, 18 January 2017
• Maps of graphs
  ...tation, or a counterpart, of a given continuous transformation may require approximation and even refining the graph: <!--150-->[[image:grid with function approximated by cell map.png|center]]
  29 KB (5,042 words) - 17:57, 28 November 2015
• Connectivity
  ...complex ways to compute the length (roughly, increasing the degree of the approximation of the curve). The choice of connectivity is determined by a 3x3 table. Wit We approach this issue differently in [[Cell decomposition of images]].
  4 KB (636 words) - 14:53, 9 October 2010
• Breast carcinoma detection
  ...d other features are captured with no deformation, smoothing, blurring, or approximation."
  3 KB (410 words) - 13:40, 11 October 2010
• Calculus Illustrated -- preface
  ...purposes because they represent the shortest step from pen and paper: one cell - one number - one point on the graph. For more advanced tasks such as mode ...every concept in calculus ''starts'' -- often implicitly -- as a discrete approximation of a continuous phenomenon!
  17 KB (1,758 words) - 13:57, 25 August 2019

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