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• Major and minor axes
  The major axis of an object is the line segment that connects two farthest points in the object. See [[Diameter]]. The minor axis is the line segment that is perpendicular to the major axis with the length minimal sat
  544 bytes (86 words) - 13:43, 27 July 2009
• Calculus with Analytic Geometry III -- Spring 2015
  ''Chapter 16: Line and Surface Integrals'' 16.2 Line Integrals,
  6 KB (805 words) - 13:38, 6 May 2015
• Constructions
  ...$x$-axis. Hence, the quotient set corresponds, in this sense, to the real line. Algebraically, we need to find a map: ...te a circle<!--\index{circle}-->. An insightful way is to make it from the line. One just winds the helix, which is ${\bf R}$ topologically, around the cir
  13 KB (2,270 words) - 22:14, 18 February 2016
• Seurat's painting
  ...ge. Much less noise and, in addition to the sail, the leaves and the shore line are captured too. So, the bottom line is you can't rely entirely on contrast/persistence and ignore [[measuring o
  3 KB (413 words) - 18:32, 7 January 2011
• Calculus 3: test 1
  3. Find the plane through the origin perpendicular to the line from $(1,0,0)$ and $(0,1,1)$. 5. Find the line tangent to the curve
  799 bytes (132 words) - 15:21, 9 March 2014
• Maps of polyhedra
  ...izations $|g|,|h|:X \to Y$ of these simplicial maps, they will be straight-line homotopic: ...Why can't we simply use for $G$ a simplicial approximation of the straight-line homotopy $F$?
  51 KB (9,162 words) - 15:33, 1 December 2015
• Chain complexes
  Dimension $0$ (no change in the first line): Dimension $1$ (no change in the first line):
  33 KB (5,293 words) - 03:06, 31 March 2016
• Continuous vs discrete differential forms
  It's like the second line is a grainy image of the real life in the first line. How is this image made and how much information does it preserve.
  9 KB (1,483 words) - 13:54, 13 April 2013
• Simplicial complexes
  ...nse that if you throw three points on the plane, the probability that they line up is zero. They are also called “geometrically independent”. ...w values of $r$, construct the Vietoris-Rips complex for: four points on a line, or at the corners of a square, five points at the corners of a pentagon, f
  30 KB (5,021 words) - 13:42, 1 December 2015
• Calculus III -- Fall 2017 -- final
  ...d the directional derivative of the function above in the direction of the line $y=x$. $\bullet$ '''4.''' Sketch the vector field given below and estimate its line integral along the boundary of the square oriented counterclockwise (multip
  2 KB (260 words) - 17:29, 11 December 2017
• Midtearm
  ...Find the line passing through the point $(-1,2)$ and perpendicular to the line $y=-x-2016.$
  2 KB (308 words) - 15:23, 2 March 2016
• Cubical complex
  Dimension $0$ (no change in the first line): Dimension $1$ (no change in the first line):
  29 KB (4,800 words) - 13:41, 1 December 2015
• Solving systems of linear equations
  The line is important! It reminds you: ''augmented matrix is not a matrix''. ...set is $S = \{ x = a+tv \colon t \in {\bf R} \}$. By definition, $s$ is a line:
  5 KB (802 words) - 01:38, 6 September 2011
• Calculus I -- Fall 2016
  **Number systems. Distance formula. Slope of a line. Standard equations of lines. ...nition of the derivative at a point and on an interval. Slope of a tangent line. Derivatives of polynomials. Derivatives of trigonometric functions. Deriva
  11 KB (1,671 words) - 23:11, 13 December 2016
• Elementary Linear Algebra -- Spring 2018 -- midterm
  $\bullet$ '''2.''' In an effort to find the line in which the planes $ 2x -y- z=2 $ and $-4x+2y+2z=1$ intersect, a student $\bullet$ '''5.''' Find the vector equation of the line parallel to both $xy$- and $xz$- coordinate planes and passing through $(2,
  2 KB (308 words) - 23:06, 14 March 2018
• Linear algebra: exercises
  ...$ that are orthogonal to $(-1,3)$. Write the set in the standard form of a line through the origin.
  5 KB (833 words) - 13:36, 14 March 2018
• Contrast
  ...[gray scale function]] of the image. Then the tip marked with a horizontal line corresponds to an object. Finally, the height marked in red is the contrast
  3 KB (406 words) - 19:02, 1 July 2011
• Calculus with Analytic Geometry III -- Spring 2012
  ...s in dimension 2 and 3: parametric curves, functions of several variables, line, surface, and volume integrals, some vector calculus
  2 KB (324 words) - 20:30, 23 April 2012
• Quotient sets
  ...t of intersection with the $x$-axis. Hence, the quotient space is the real line. Algebraically,
  3 KB (464 words) - 19:36, 31 October 2012
• Examples of homology of cubical complexes
  ...nstruct a [[cubical complex]] for the '''disjoint union of a circle and an line segment''' and compute its homology, $X$.
  3 KB (519 words) - 18:06, 27 August 2015

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