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Much like tightrope-walking, slacklining involves balancing along a line between two fixed points.
An easily visualized standing wave can be created by stretching a rubber band between two fixed points, displacing its centre slightly, and releasing it so that it vibrates back and forth between two extremes.
As originally stated, the path taken by a ray of light between two fixed points in an arrangement of mirrors, lenses, and so forth, is that which takes the least time.
Practitioners of etak relied on a combination of very thick perceptual data, and an intuitive grasp of the relational movement between two fixed points and a third moving one (a parallax view); and it was this that enabled their astonishing diaspora.
Notes: In the same way that a front can be viewed as a heteroclinic connection between two fixed points, a spatially localised pulse can be viewed as a homoclinic orbit to a fixed point.
In the language of differential geometry, the variational principle states that any freely falling test particles follow a certain path between two fixed points in curved spacetime which extremize the proper time.
Similar(46)
Assume has two fixed points.
Then the map has two fixed points.
First, suppose that has two fixed points.
Note that, T has two fixed points.
The period two fixed points are symmetrical about the corresponding period one point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com