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• Linear algebra
  S may be a line... S = (-(3/2)α, α, -(1/2)α) represents a straight line in '''R³'''.
  27 KB (4,667 words) - 01:07, 19 February 2011
• Linear algebra of Euclidean space
  $S$ may be a line... ...ter>$S = (-(3/2) \alpha , \alpha , -(1/2) \alpha )$ represents a straight line in ${\bf R}^3$.</center>
  26 KB (3,993 words) - 19:48, 26 August 2011
• Differential calculus
  ...he most horizontal. In other words, this is where the slope of the tangent line is zero. But that's the derivative of our function. From the ''Power Formul ...words, the monotonicity is determined by the sign of slope of the tangent line. We conclude that on interval $(0,25)$, the derivative is positive and on $
  84 KB (14,321 words) - 00:49, 7 December 2018
• Differentiation
  ...erval, we compute the difference quotients along the two intervals (second line) and place the results at the corresponding edge: ...we carry out the same operation and place the result in the middle (third line).
  82 KB (14,116 words) - 19:50, 6 December 2018
• Calculus I, the discrete version
  We divide the $x$-axis (i.e., the real line ${\bf R}$) into discrete pieces. The ration is also known as the ''slope'' of the line.
  64 KB (11,521 words) - 19:48, 22 June 2017
• Derivative reflects behavior of the function
  [[Image:meanValueTheoremExample.png|right|Movement along a Straight Line]] *The line that connects the end points used to be horizontal and now is has become in
  8 KB (1,470 words) - 00:39, 16 July 2011
• Calculus on cubical complexes
  ...he simplest setting, we deal with the intervals in the complex of the real line ${\mathbb R}$. Then the form assigns a number to each interval to indicate One should recognize the second line as a line integral:
  36 KB (6,218 words) - 16:26, 30 November 2015
• Forms in Euclidean spaces
  The simplest example of a differential form is a $1$-form over the real line: ...'s consider its ''discrete'' counterpart. A discrete $1$-form for the real line is, by definition, a collection $\phi$ of linear maps on tangent spaces:
  44 KB (7,778 words) - 23:32, 24 April 2015
• Integer-valued calculus
  ...have a ''hole'' (or tunnel) in it? Is it possible to travel in a straight line and arrive at the starting point from the opposite direction? Like this: ...'simply-connected''. So, if we know all gradients of all functions and all line integrals of all vector fields, we can tell if there is a hole in the regio
  27 KB (3,824 words) - 19:07, 26 January 2019
• Precalculus exercises
  ...s of the $x$-coordinates of the intersections between the parabola and the line below: [[image:area between parabola and horizontal line.png| center]]
  17 KB (2,933 words) - 19:37, 30 July 2018
• Series
  ...t is justified by the fact that when you zoom in on the point, the tangent line will merge with the graph: ...of the curve that pass through the point; from those we choose the tangent line.
  113 KB (19,100 words) - 23:07, 3 January 2019
• Line integrals
  ==Line integrals: flux== providing the mass of a curve of variable density. The third is the ''line integral along an oriented curve'':
  12 KB (2,194 words) - 14:37, 5 December 2017
• Linear functions in Euclidean space
  *$0$, a line, or ${\bf R}^2$. *${\rm Im}(f) =$ a line, for example $f(x_1, x_2) = (x_1, 0)$ is the [[projection]].
  23 KB (3,893 words) - 04:43, 15 February 2013
• Freshman's introduction to discrete calculus
  ...h other at the nodes to form a continuous curve. However, it is a straight line? The ration is also known as the ''slope'' of the line.
  42 KB (7,443 words) - 14:18, 1 August 2016
• Homotopy
  This is called the ''straight-line homotopy''. ...ply connected because every loop can be deformed to a point via a straight line homotopy:
  46 KB (7,846 words) - 02:47, 30 November 2015
• Discrete forms
  ...he simplest setting, we deal with the intervals in the complex in the real line ${\mathbb R}$. Then the form assigns a number to each interval to indicate One should recognize the second line as a line integral:
  35 KB (6,055 words) - 13:23, 24 August 2015
• Topology Illustrated -- Index
  *[[line integral|line integral]] *[[line with two origins|line with two origins]]
  16 KB (1,773 words) - 00:41, 17 February 2016
• Vector calculus: midterm
  ##There is only one natural parametrization of a straight line. ...ic formula for the 3D-line through the point $(2,3,4)$ and parallel to the line through the points $(1,1,1)$ and $(-1,-2,-3)$.
  4 KB (674 words) - 02:48, 22 August 2011
• Limits: transition from discrete to continuous
  Suppose a real number $x$ is given. We construct a line segment of length $1$ on the plane. Then *$\cos x$ is the projection of the segment on the horizontal line,
  51 KB (9,271 words) - 20:02, 8 September 2016
• Mobius band
  What happens if we cut the Mobius band along this line? The result is a thinner band with a double twist. '''Problem.''' What happens if we cut the [[Mobius band]] along the middle line?
  3 KB (510 words) - 16:22, 17 March 2014

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