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• Dual space
  A two-line version of the proof: $V$ with basis of $n$ elements $\simeq {\bf R}^n$. Th
  9 KB (1,390 words) - 16:14, 16 June 2014
• 3D image analysis
  The software, [[CHomP]], is used via command line in order to compute the three [[Betti numbers]] of a bitmap image or text f
  7 KB (1,021 words) - 16:58, 20 February 2011
• Visual image search engines
  ...ch for a watch with a secondary dial returned many watches without. Bottom line, nothing new after a whole year.
  15 KB (2,424 words) - 19:20, 14 June 2011
• Home of Math
  ''Drop me a line if you have any questions or would like to [[how to contribute|contribute]]
  4 KB (631 words) - 16:56, 18 July 2014
• Calculus 2: test 3
  #Plot the curve $r=2\cos(3\theta)$. Find the line(s) through the origin tangent to the curve.
  2 KB (318 words) - 20:24, 13 June 2011
• Precalculus with Scientific Applications -- Spring 2016
  * Modeling the Real World. Real Numbers and Their Properties. The Real Number Line and Order. Integer Exponents. Rational Exponents and Radicals. Algebraic Ex
  7 KB (890 words) - 16:32, 20 April 2016
• Is the image of an open set under a continuous function open?
  Why: Consider the [[projection]] of a vertical line in the plane onto the $x$-axis, or simply a [[constant function]] from ${\b
  413 bytes (66 words) - 12:40, 10 April 2013
• College Algebra -- Fall 2016 -- midterm
  $\bullet$ '''2.''' Find the equation of the line passing through the points $(-1,1)$ and $(-1,5)$.
  1 KB (217 words) - 03:07, 6 November 2018
• Calculus Two by Flanigan and Kazdan
  *10.1 [[Line integrals]] 530
  3 KB (311 words) - 14:51, 23 November 2011
• Tangent bundle
  ...alc 1]] we know that can we use the [[derivative]] to find the ''[[tangent line]]'' for the graph of the function. In higher dimensions we talk instead of
  5 KB (859 words) - 02:33, 22 January 2013
• Euclidean space made discrete
  [[image:line from pixels.png|center]]
  11 KB (1,801 words) - 15:50, 25 July 2014
• A graph, non-tree representation of the topology of a gray scale image by Saveliev
  ...traces all level sets in the image. This is the case with the “fast level line transform” [17] (step 4a). Therefore its complexity is O(N²),
  41 KB (6,854 words) - 15:05, 28 October 2011
• Wave equation
  ...borhood is the Hodge dual of this point. We recognize this expression as a line integral:
  10 KB (1,775 words) - 02:40, 9 April 2016
• Homology as an equivalence relation
  '''Exercise.''' Give formulas of continuous functions: (a) of the line that creates a loop, (b) of the plane that creates a loop, (c) of the plane
  21 KB (3,530 words) - 19:54, 23 June 2015
• Calculus 3: course
  *[[Parametric curves]] and [[line integrals]]
  1 KB (128 words) - 16:24, 9 September 2013
• Precalculus with Scientific Applications -- Spring 2016 -- final exam
  $\bullet$ '''14.''' Find the equation of the line starting at the point $(1,2,3)$ in the direction of the vector $<1,1,1>$.
  2 KB (389 words) - 19:13, 6 May 2016
• JPlex examples
  The last line will print out results that look like this:
  4 KB (652 words) - 14:14, 30 July 2011
• Compact spaces
  First, the real line ${\bf R}=(-\infty,\infty)$ is not compact: it suffices to consider the cove
  19 KB (3,207 words) - 13:06, 29 November 2015
• Calculus exercises: advanced
  ...n of the plane which passes through the origin and is perpendicular to the line $x=0,y=t,z=2t$. #There is only one natural parametrization of a straight line.
  14 KB (2,538 words) - 18:35, 14 October 2017
• Tangent plane
  In the n-dim case, the [[tangent line]]s to the graph of a function are replaced with ''tangent planes'', or, mor
  573 bytes (88 words) - 14:09, 20 October 2012

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