formulasearchengine - User contributions [en]

Bogacki–Shampine method

2012-08-11T00:38:31Z

128.122.253.228: The method for y_{n+1} due to Ralston is third order. The Bogacki-Shampine addition is the embedded second-order method z_{n+1}. See the second sentence of pg 323 in the Bogacki-Shampine article.

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Complexification

2012-04-16T17:16:23Z

128.122.35.138: /* Linear transformations */

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Natural evolution strategy

2012-03-21T21:08:46Z

128.122.47.32: /* Bibliography */ added link to convergence new proof

In [[optics]], '''smear''' is used to refer to motion that has low temporal frequency relative to the integration/exposure time. This typically results from a relative rate of the image with respect to the detector (e.g., caused by movement in the scene). Smear is typically differentiated from [[jitter (optics)|jitter]], which has a higher frequency relative to the integration time.<ref name=EncyOptEng>{{Google books|rcrGlrguj1YC|Encyclopedia of optical engineering|page=2380}}</ref> Whereas smear refers to a relatively constant rate during the integration/exposure time, jitter refers to a relatively sinusoidal motion during the integration/exposure time.

The equation for the optical [[Modulation transfer function]] associated with smear is the standard [[sinc]] function associated with an extended sample
:<math>MTF_{smear}(u) = \frac {sin(\pi \alpha u)} {\pi \alpha u}</math>

where u is the spatial frequency and <math>\alpha</math> is the amplitude of the smear in pixels.<ref>{{cite journal|last=Johnson|first=Jerris F.|title=Modeling imager deterministic and statistical modulation transfer functions|journal=Applied Optics|date=10 November 1993|volume=32|issue=32|pages=6503|doi=10.1364/AO.32.006503|url=http://www.opticsinfobase.org/abstract.cfm?id=40363}}</ref>

==References==
{{Reflist}}

[[Category:Optics]]
[[Category:Photography]]

Dedekind psi function

2011-11-18T19:34:16Z

128.122.20.82: Reference on Dedekind Psi function

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