Gibbs Phenomenon - Revision history

Michaelvier at 04:24, 19 January 2010

2010-01-19T04:24:12Z

← Older revision		Revision as of 21:24, 18 January 2010
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	===Reviewed By===		===Reviewed By===

			*[[Vier, Michael \| Michael Vier]]

	===Read By===		===Read By===

Jgrant at 16:34, 12 January 2010

2010-01-12T16:34:45Z

← Older revision		Revision as of 09:34, 12 January 2010
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	<references/>		<references/>

	===Contributor===		==Contributor==
	*[[Grant, Joshua \| Joshua Grant]]		*[[Grant, Joshua \| Joshua Grant]]

	==Reviewed By==
			===Reviewed By===

	===Read By===		===Read By===

Jgrant at 16:34, 12 January 2010

2010-01-12T16:34:11Z

← Older revision		Revision as of 09:34, 12 January 2010
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	<references/>		<references/>

	==Contributor==		===Contributor===
	*[[Grant, Joshua \| Joshua Grant]]		*[[Grant, Joshua \| Joshua Grant]]

			==Reviewed By==

			===Read By===

Jgrant at 16:27, 12 January 2010

2010-01-12T16:27:37Z

← Older revision		Revision as of 09:27, 12 January 2010
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	==The Phenomenon==		==The Phenomenon==
	The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>		The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>
	While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.		While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased. In fact the spike reaches a finite limit.
	[[Image:Gibbs_phenomenon_50.jpg\|300px\|thumb\|right\|Showing the spike at a discontinuity.]]		[[Image:Gibbs_phenomenon_50.jpg\|300px\|thumb\|right\|Showing the spike at a discontinuity.]]

Jgrant at 16:23, 12 January 2010

2010-01-12T16:23:35Z

← Older revision		Revision as of 09:23, 12 January 2010
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	While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.		While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.
	[[Image:Gibbs_phenomenon_50.jpg\|300px\|thumb\|right\|Showing the spike at a discontinuity.]]		[[Image:Gibbs_phenomenon_50.jpg\|300px\|thumb\|right\|Showing the spike at a discontinuity.]]

			==References==
			<references/>

			==Contributor==
			*[[Grant, Joshua \| Joshua Grant]]

Jgrant at 15:52, 12 January 2010

2010-01-12T15:52:27Z

← Older revision		Revision as of 08:52, 12 January 2010
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	The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>		The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>
	While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.		While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.
	[[Image:Gibbs_phenomenon_50.jpg\|~~500px~~\|thumb\|right\|Showing the spike at a discontinuity.]]		[[Image:Gibbs_phenomenon_50.jpg\|300px\|thumb\|right\|Showing the spike at a discontinuity.]]

Jgrant at 15:50, 12 January 2010

2010-01-12T15:50:59Z

← Older revision		Revision as of 08:50, 12 January 2010
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	The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>		The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>
	While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.		While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.
	[[Image:Gibbs_phenomenon_50.jpg]]		[[Image:Gibbs_phenomenon_50.jpg\|500px\|thumb\|right\|Showing the spike at a discontinuity.]]

Jgrant at 15:45, 12 January 2010

2010-01-12T15:45:50Z

← Older revision		Revision as of 08:45, 12 January 2010
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	==The Phenomenon==		==The Phenomenon==
	The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>		The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>
			While this is true, it can also be seen that the jump does not diminish as the frequency of additional functions is increased.
			[[Image:Gibbs_phenomenon_50.jpg]]

Jgrant at 15:34, 12 January 2010

2010-01-12T15:34:59Z

← Older revision		Revision as of 08:34, 12 January 2010
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	==Overview==		==Overview==
	The Gibbs phenomenon is the the tendency for Fourier sums to "jump" higher than expected at discontinuities. It is named after the American physicist J. Willard Gibbs.		The Gibbs phenomenon is the the tendency for Fourier sums to "jump" higher than expected at discontinuities. It is named after the American physicist J. Willard Gibbs.

			==The Phenomenon==
			The identifying characteristic of the Gibbs phenomenon is the spike past where the Fourier series is summing to. As my colleagues previously stated, "notice how the summation function resembles the original periodic function more as more functions are added."<ref>[http://fweb/class-wiki/index.php/Fourier_Series:_Explained! Fourier Series: Explained!]</ref>

Jgrant: New page: ==Overview== The Gibbs phenomenon is the the tendency for Fourier sums to "jump" higher than expected at discontinuities. It is named after the American physicist J. Willard Gibbs.

2010-01-12T14:42:56Z

New page: ==Overview== The Gibbs phenomenon is the the tendency for Fourier sums to "jump" higher than expected at discontinuities. It is named after the American physicist J. Willard Gibbs.

New page

==Overview==
The Gibbs phenomenon is the the tendency for Fourier sums to "jump" higher than expected at discontinuities. It is named after the American physicist J. Willard Gibbs.