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• Slope
  Pick any two distinct points on the line and compute That's the ''slope'' of the line.
  242 bytes (41 words) - 13:41, 19 October 2012
• Calculus Illustrated
  2 The real number line 3 Numerical functions are transformations of the real number line
  16 KB (1,933 words) - 19:50, 28 June 2021
• Tangent bundles
  The total work over a path in the complex is the ''line integral''<!--\index{line integral}--> of $\varphi$ over a $1$-chain $a$ in $K$. It is simply the sum ...system, $(dx,dy)$ and the best affine approximation (given by the tangent line) becomes a linear function in this system:
  16 KB (2,753 words) - 13:55, 16 March 2016
• Calculus with Analytic Geometry III -- Spring 2014
  ...s in dimension 2 and 3: parametric curves, functions of several variables, line, surface, and volume integrals, some vector calculus ''Chapter 16: Line and Surface Integrals''
  5 KB (621 words) - 14:57, 5 May 2014
• Vector functions
  &= ( 1 + 2b, 3 + b ) + t ( -1, -2 ) {\rm \hspace{3pt} (straight \hspace{3pt} line).} In [[Calc 1]], the answer is "[[tangent line]]'" for functions of one variable. Same for [[parametric curves]]. For [[fu
  28 KB (4,769 words) - 19:42, 18 August 2011
• Linear operators: part 4
  *${\bf R}^3 \rightarrow {\bf R}^1$, or any line. "The [[horizontal line test|horizontal plane test]]", i.e., more than one intersection implies the
  13 KB (2,067 words) - 01:11, 12 September 2011
• Measuring the volume of prostate cancer tumor
  <p>Next, the tumor. The dotted line is made solid using MS Paint. The you run Pixcavator. The [[contour]] has t ...rms this number. Of course, the error can be easily cut down by making the line 1/2 thinner… To be fair the error should be divided by 2.</p>
  6 KB (1,020 words) - 15:01, 21 May 2011
• Configuration spaces
  ...dance" in robotics by constructing such a "safe" configuration space. On a line segment, this configuration space of three robots will be a cube with three '''Exercise.''' Find the safe configuration space for two robots on a line, the circle, the tripod. What if they are connected by a rod? a rope?
  6 KB (921 words) - 17:14, 27 August 2015
• Publications that use Pixcavator
  ...class=SpellE>gallic</span> acid in A549, a human lung adenocarcinoma cell line, and possible mechanisms, </i><b style='mso-bidi-font-weight: normal'>Journ ...30&Location=U2&doc=GetTRDoc.pdf Preliminary stages for integrated text and line drawing information extraction]'' from Air Force Research Laboratory.
  17 KB (2,350 words) - 14:40, 4 November 2011
• Anticancer property of gallic acid
  ...ticancer property of gallic acid in A549, a human lung adenocarcinoma cell line, and possible mechanisms] by Dharmendra K. Maurya, Nivedita Nandakumar, and ...icancer properties were explored in A549, a human lung adenocarcinoma cell line... Colony [[counting]] was performed with [[cellAnalyst]] software (AssaySo
  1 KB (140 words) - 16:31, 19 February 2011
• 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

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