Duffing equation - Revision history

130.149.89.24: /* Boundedness of the solution for the undamped and unforced oscillator */

2014-03-20T12:05:45Z

Boundedness of the solution for the undamped and unforced oscillator

← Older revision		Revision as of 14:05, 20 March 2014
Line 1:		Line 1:
	~~I would like to introduce myself to you, I am Jayson Simcox but I don~~'~~t like when individuals use my complete name~~. ~~To play domino~~ is ~~something~~ I ~~truly appreciate doing. Her family life~~ in ~~Ohio~~. ~~Office supervising~~ is ~~what she does for a residing~~.<br><br>~~My weblog ::~~ tarot readings ([http://www.~~taehyuna~~.~~net~~/xe/~~?document_srl=78721 visit this link~~])		The author's title is Christy. Distributing manufacturing is exactly where her main earnings comes from. My spouse and I live in Kentucky. The favorite pastime for him and his kids is to perform lacross and he would by no means give it up.<br><br>Also visit my webpage tarot readings ([http://www.publicpledge.com/blogs/post/7034 http://www.publicpledge.com/blogs/post/7034])

en>Crowsnest: /* Boundedness of the solution for the undamped and unforced oscillator */ partial derivatives

2014-02-04T21:30:01Z

Boundedness of the solution for the undamped and unforced oscillator: partial derivatives

← Older revision		Revision as of 23:30, 4 February 2014
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	~~{{Taxobox~~		I would like to introduce myself to you, I am Jayson Simcox but I don't like when individuals use my complete name. To play domino is something I truly appreciate doing. Her family life in Ohio. Office supervising is what she does for a residing.<br><br>My weblog :: tarot readings ([http://www.taehyuna.net/xe/?document_srl=78721 visit this link])
	~~\|image = Spotted seatrout fish cynoscion nebulosus.jpg~~
	~~\| regnum = [[Animal]]ia~~
	~~\| phylum = [[Chordate\|Chordata]]~~
	~~\| classis = [[Actinopterygii]]~~
	~~\| ordo = [[Perciformes]]~~
	~~\| familia = [[Sciaenidae]]~~
	~~\| genus = ''[[Cynoscion]]''~~
	~~\| species = '''''C. nebulosus'''''~~
	~~\| binomial = ''Cynoscion nebulosus''~~
	~~\| binomial_authority = (Cuvier in Cuvier and Valenciennes, 1830)~~
	}}

	The '''spotted seatrout''', also known as '''speckled trout''' ('''''Cynoscion nebulosus'''''), is a common [[estuary\|estuarine]] [[fish]] found in the southern [[United States]] along coasts of [[Gulf of Mexico]] and [[South Atlantic Ocean]]. While most of these fish are caught on shallow, grassy flats, spotted seatrout reside in virtually any inshore waters, from the surf of outside islands to ~~far up coastal rivers, where they often come for shelter during cold weather. Contrary~~ to ~~its name, the spotted seatrout is not a member of the trout family ([[Salmonidae]])~~, but of the drum family ([[Sciaenidae]]). It is popular for commercial and especially recreational fishing in coastal waters of the southeastern United States. Adults reach 19-25 inches in length and 1-4 pounds in weight.

	~~==Distribution==~~
	Spotted seatrout live in the top of the water column and are most numerous along the coasts of the southeastern states, such as Texas, Louisiana, Alabama, Mississippi, Georgia, and Florida. They are also common along the coasts of North and South Carolina and Virginia. Estuarine coasts are prime settlement areas. They are uncommonly seen north of Delaware Bay and along the coast of Cape Cod, Massachusetts.

	~~==Characteristics==~~
	~~Spotted seatrout is the common~~ name endorsed by the American Fisheries Society. However, this fish has many other common names, including speckled trout, speck, speckles, spec, ''truite gris'' (Louisiana French), ''trucha de mar'' (Mexican Spanish), spotted weakfish, spotted seateague, southern seateague, salmon, salmon trout, simon trout, winter trout, seatrout, Nosferatu fish, and black trout. Particularly large ones are nicknamed gator trout.<ref>Ford, F., D.T., Clarke, P. Kaminsky. Fish: 77 Great Fish of North America. ~~The Greenwich Workshop Press, Seymour, Connecticut, pp:76-77 </ref>~~

	~~The spotted seatrout has prominent canine teeth. Like other fish of the family Sciaenidae, it has an elongated, soft dorsal fin with no scales; it~~ is ~~separated from the spinous dorsal fin by a deep notch. It usually has two anal spines and the lateral line extends to the tip of the caudal fin~~. ~~The back has distinct spots scattered on it, including on the dorsal and caudal fins. Unlike some other members of the~~ family Sciaenidae, the spotted seatrout does not have any chin barbels. In stained water, this fish's background may take on a golden hue. Its shape and coloration is reminiscent of a [[brown trout]]. This fish is closely related to the [[weakfish]], ''Cynoscion regalis''.

	~~The average size of spotted seatrout is 0.5-1.0 kg (1-2 lb), but~~ in ~~most areas fish up to 2~~.~~5 kg (5 lb) are fairly common. Fish weighing 3.5-4.5 kg (8-10 lb) are rare. The world record~~ is ~~7.9 kg (17 lb 7 oz).~~

	~~==Food==~~
	Small trout eat large amounts of shrimp and other crustaceans. As they grow larger, their diets shift toward fish, the larger, the better. Studies in Texas and Mississippi show that really big trout strongly prefer to feed on [[mullet (fish)\|mullet]]; a large trout will find the largest mullet it can handle and try to swallow it. Often the mullet is half or two-thirds as large as the trout.<ref>[http://www.seagrantfish.lsu.edu/pdfs/factsheets/speckledtrout.pdf Horst, J. Speckled Trout Fact Sheet] SeaGrant Louisiana. 2005 p. 1-2 </ref>

	~~==Reproduction and growth==~~
	~~Like all members of the drum family, mature males make a "drumming" sound to attract females during the spawning season. Spotted seatrout have a long spawning season from spring through summer.~~

	~~Larval seatrout reach 5-7 mm in length about two weeks after hatching, and 170-200 mm within about seven months. It takes between one and two years~~ for seatrout to reach 300 mm (about 12 inches) and between two and three years to reach 400 mm in length (about 16 inches). The maximum age of spotted seatrout that have been caught is estimated to be 12 years old, though that is rare, and the oldest fish caught on a ~~regular basis are closer to four or five years old~~.<~~ref~~>~~Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces: Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref>~~

	By the end of the first year, spotted seatrout are about 250 mm long and about half of them are mature enough to reproduce. <ref>DeVries, DA et al. The demographics and reproductive biology of spotted seatrout, Cynoscion nebulosus, in six northwest Florida estuaries.In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003<~~/ref~~>~~<ref>Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces~~: ~~Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref> They reproduce in shallow, grassy areas of estuaries.~~

	As spotted seatrout grow longer, they increase in weight. The relationship between weight and length is not linear. The relationship between total length (in millimeters) and weight (in grams) can be expressed by an equation of the form:

	~~<math>W = cL^b\!\,</math>~~

	[[File:Spotted Seatrout Weight Length.png\|thumb\|350px\|Spotted seatrout weight vs. length<ref>Jenkins, J.A. Fish Bioindicators of Ecosystem Condition at the Calcasieu Estuary, Louisiana. USGS National Wetlands Research Center, Lafayette, LA. Open-File Report 2004-1323</ref>]]
	Invariably, b is close to 3.0 for all species, and c is a constant that varies among species.<ref>R. O. Anderson and R. M. Neumann, Length, Weight, and Associated Structural Indices, in Fisheries Techniques, second edition, B.E. Murphy and D.W. Willis, eds., American Fisheries Society, 1996.</ref> The coefficient c and the exponent b are found by fitting an equation of this form to measured weight-length data. For some fish, including spotted seatrout, the weight-length relationships vary with the seasons and with gender.<ref>Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces: Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref> Jenkins<ref>Jenkins, J.A. Fish Bioindicators of Ecosystem Condition at the Calcasieu Estuary, Louisiana. USGS National Wetlands Research Center, Lafayette, LA. Open-File Report 2004-1323</ref> reported slightly different relationships for male and female spotted seatrout, and for fall and spring:

	~~''Fall/male: W = 0.00000534L<sup>3.093</sup>''~~

	~~''Spring/male: W = 0.000011535L<sup>2.989</sup>''~~

	~~''Fall/female~~: ~~W = 0.000006252L<sup>3.066</sup>''~~

	~~''Spring/female: W = 0.000007834L<sup>3.035</sup>''~~

	~~Only the relationship for male spotted seatrout in the spring appears noticeably different from the others on a graph.~~

	~~==Fishing==~~
	~~[[Image:FishingLight.ogv\|300px\|thumb\|right\|These spotted seatrout are attracted to the light of a glow stick.]]~~
	While spotted seatrout are caught by both commercial and recreational fishermen, recreational fishing represents the vast majority of the catch. Almost all spotted seatrout are caught with hook and line, as many places have banned fishing for them with gillnets. The most common bait is shrimp, especially live shrimp, and larger trout prefer small bait fish such as menhaden. One catching technique, after dark, is to throw out a glow stick into the water and cast around it, as these fish are attracted to light (~~see [[Fishing light attractor]]).~~

	~~[[Image:Speckled Trout Fishing Louisiana.jpg\|300px\|thumb\|left\| Speckled trout are among the top ten species for recreational fishing in the United States.]]~~
	According to the [[NOAA]], spotted seatrout are in the top ten species for recreational fishing in the United States.<ref>[http://www.montereybayaquarium.org/cr/cr_seafoodwatch/content/media/MBA_SeafoodWatch_SpottedSeatroutReport.pdf Monterey Bay Aquarium sustainable seafood report for Spotted Seatrout, October, 2011] </ref> From 1993 – 2003, recreational fishermen in Louisiana harvested more than 6 million spotted seatrout each year.<ref>[http://www.~~seagrantfish.lsu~~.~~edu/pdfs~~/~~factsheets~~/speckledtrout.pdf Horst, J. Speckled Trout Fact Sheet] SeaGrant Louisiana. 2005 p. 1-2 </ref> Along the coasts of North Carolina and Virginia, more than half a million speckled trout were caught by recreational fishermen each year between 2005 and 2008.<ref>North Carolina Spotted Seatrout Fishery Management Plan. North Carolina Division of Marine Fisheries. March, 2010</ref> Nevertheless, because they reproduce so well, spotted seatrout is listed as a “best choice” for sustainable seafood in Louisiana and Florida by the Monterey Bay Aquarium's Seafood Watch.

	<!-- wrong species, uncited Weakfish are so named because their mouth is very fragile compared to other gamefish. Many Weakfish are lost by gamefisherman when the fisherman strikes too hard or tries to horse the fish in. The Weakfish's mouth is easily torn. A light strike and a constant strain in more effective. Fishing is most intense in sheltered inside waters. More big trout are caught in spring because they move into shallow beach and bay habitats at that time for their first spawn of the season. The rest of the summer and early fall, the larger trout tend to stay in cooler Gulf waters and only periodically enter beach and bay habitats for subsequent spawns. Many of the large fish winter offshore, with a few wintering in the interior marshes, where they are very sluggish. -->

	=~~=Management==~~
	The management of the species is limited to size and possession limits, but programs have been initiated to gather more information on their overall health and abundance.<ref name="asmfc-spotted seatrout">
	~~{{cite web~~
	~~\| url = http://www.asmfc.org/spottedSeatrout.htm\| title = Atlantic States Marine Fisheries Commission: Spotted Seatrout~~
	~~\| accessdate = 2009-06-30~~
	~~}}</ref>~~

	~~==External links==~~
	*[http://www.sms.si.edu/irlspec/cynosc_nebulo.htm Smithsonian Marine Station at Fort Pierce, FL page on spotted seatrout.]
	*[http://menhaden.gsmfc.org/pdf/SeaTroutPlanWeb.pdf Blanchet et al. The spotted seatrout fishery of the Gulf of Mexico, United States. A Regional Management Plan.] Gulf States Marine Fisheries Commission. Publication 87 March, 2001
	* {{ITIS \|id=169239 \|taxon=Cynoscion nebulosus \|accessdate=24 January 2006}}
	* {{FishBase species\|genus=Cynoscion\|species=nebulosus\|year=2005\|month=November}}

	~~==References==~~
	~~<references/>~~

	~~[[Category:Fly fishing target species]]~~
	~~[[Category:Sciaenidae]]~~
	~~[[Category:Saltwater fish of Florida]~~]

en>Gisling: /* Methods of solution */

2013-12-17T01:27:17Z

Methods of solution

← Older revision		Revision as of 03:27, 17 December 2013
Line 1:		Line 1:
	The ~~author~~'~~s title~~ is ~~Andera~~ and ~~she thinks~~ it ~~sounds~~ fairly ~~good~~. The ~~favorite pastime~~ for ~~him~~ and ~~his children~~ is to ~~perform lacross~~ and ~~he would never give it up~~. He is an ~~info officer~~. ~~Alaska~~ is the ~~only location I~~'~~ve been residing~~ in ~~but now I'm contemplating other choices~~.<br><br>~~My webpage;~~ [http://www.~~familysurvivalgroup~~.~~com~~/~~easy~~-~~methods~~-~~planting~~-~~looking~~-~~backyard~~/ ~~spirit messages~~]		{{Taxobox
			\|image = Spotted seatrout fish cynoscion nebulosus.jpg
			\| regnum = [[Animal]]ia
			\| phylum = [[Chordate\|Chordata]]
			\| classis = [[Actinopterygii]]
			\| ordo = [[Perciformes]]
			\| familia = [[Sciaenidae]]
			\| genus = ''[[Cynoscion]]''
			\| species = '''''C. nebulosus'''''
			\| binomial = ''Cynoscion nebulosus''
			\| binomial_authority = (Cuvier in Cuvier and Valenciennes, 1830)
			}}

			The '''spotted seatrout''', also known as '''speckled trout''' ('''''Cynoscion nebulosus'''''), is a common [[estuary\|estuarine]] [[fish]] found in the southern [[United States]] along coasts of [[Gulf of Mexico]] and [[South Atlantic Ocean]]. While most of these fish are caught on shallow, grassy flats, spotted seatrout reside in virtually any inshore waters, from the surf of outside islands to far up coastal rivers, where they often come for shelter during cold weather. Contrary to its name, the spotted seatrout is not a member of the trout family ([[Salmonidae]]), but of the drum family ([[Sciaenidae]]). It is popular for commercial and especially recreational fishing in coastal waters of the southeastern United States. Adults reach 19-25 inches in length and 1-4 pounds in weight.

			==Distribution==
			Spotted seatrout live in the top of the water column and are most numerous along the coasts of the southeastern states, such as Texas, Louisiana, Alabama, Mississippi, Georgia, and Florida. They are also common along the coasts of North and South Carolina and Virginia. Estuarine coasts are prime settlement areas. They are uncommonly seen north of Delaware Bay and along the coast of Cape Cod, Massachusetts.

			==Characteristics==
			Spotted seatrout is the common name endorsed by the American Fisheries Society. However, this fish has many other common names, including speckled trout, speck, speckles, spec, ''truite gris'' (Louisiana French), ''trucha de mar'' (Mexican Spanish), spotted weakfish, spotted seateague, southern seateague, salmon, salmon trout, simon trout, winter trout, seatrout, Nosferatu fish, and black trout. Particularly large ones are nicknamed gator trout.<ref>Ford, F., D.T., Clarke, P. Kaminsky. Fish: 77 Great Fish of North America. The Greenwich Workshop Press, Seymour, Connecticut, pp:76-77 </ref>

			The spotted seatrout has prominent canine teeth. Like other fish of the family Sciaenidae, it has an elongated, soft dorsal fin with no scales; it is separated from the spinous dorsal fin by a deep notch. It usually has two anal spines and the lateral line extends to the tip of the caudal fin. The back has distinct spots scattered on it, including on the dorsal and caudal fins. Unlike some other members of the family Sciaenidae, the spotted seatrout does not have any chin barbels. In stained water, this fish's background may take on a golden hue. Its shape and coloration is reminiscent of a [[brown trout]]. This fish is closely related to the [[weakfish]], ''Cynoscion regalis''.

			The average size of spotted seatrout is 0.5-1.0 kg (1-2 lb), but in most areas fish up to 2.5 kg (5 lb) are fairly common. Fish weighing 3.5-4.5 kg (8-10 lb) are rare. The world record is 7.9 kg (17 lb 7 oz).

			==Food==
			Small trout eat large amounts of shrimp and other crustaceans. As they grow larger, their diets shift toward fish, the larger, the better. Studies in Texas and Mississippi show that really big trout strongly prefer to feed on [[mullet (fish)\|mullet]]; a large trout will find the largest mullet it can handle and try to swallow it. Often the mullet is half or two-thirds as large as the trout.<ref>[http://www.seagrantfish.lsu.edu/pdfs/factsheets/speckledtrout.pdf Horst, J. Speckled Trout Fact Sheet] SeaGrant Louisiana. 2005 p. 1-2 </ref>

			==Reproduction and growth==
			Like all members of the drum family, mature males make a "drumming" sound to attract females during the spawning season. Spotted seatrout have a long spawning season from spring through summer.

			Larval seatrout reach 5-7 mm in length about two weeks after hatching, and 170-200 mm within about seven months. It takes between one and two years for seatrout to reach 300 mm (about 12 inches) and between two and three years to reach 400 mm in length (about 16 inches). The maximum age of spotted seatrout that have been caught is estimated to be 12 years old, though that is rare, and the oldest fish caught on a regular basis are closer to four or five years old.<ref>Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces: Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref>

			By the end of the first year, spotted seatrout are about 250 mm long and about half of them are mature enough to reproduce. <ref>DeVries, DA et al. The demographics and reproductive biology of spotted seatrout, Cynoscion nebulosus, in six northwest Florida estuaries.In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref><ref>Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces: Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref> They reproduce in shallow, grassy areas of estuaries.

			As spotted seatrout grow longer, they increase in weight. The relationship between weight and length is not linear. The relationship between total length (in millimeters) and weight (in grams) can be expressed by an equation of the form:

			<math>W = cL^b\!\,</math>

			[[File:Spotted Seatrout Weight Length.png\|thumb\|350px\|Spotted seatrout weight vs. length<ref>Jenkins, J.A. Fish Bioindicators of Ecosystem Condition at the Calcasieu Estuary, Louisiana. USGS National Wetlands Research Center, Lafayette, LA. Open-File Report 2004-1323</ref>]]
			Invariably, b is close to 3.0 for all species, and c is a constant that varies among species.<ref>R. O. Anderson and R. M. Neumann, Length, Weight, and Associated Structural Indices, in Fisheries Techniques, second edition, B.E. Murphy and D.W. Willis, eds., American Fisheries Society, 1996.</ref> The coefficient c and the exponent b are found by fitting an equation of this form to measured weight-length data. For some fish, including spotted seatrout, the weight-length relationships vary with the seasons and with gender.<ref>Murphy, MD and McMichael, RH. Age determination and growth of spotted seatrout, Cynoscion nebulosus (Pisces: Sciaenidae). In Bortone, S.A., ed., Biology of the Spotted Seatrout. CRC Press, 2003</ref> Jenkins<ref>Jenkins, J.A. Fish Bioindicators of Ecosystem Condition at the Calcasieu Estuary, Louisiana. USGS National Wetlands Research Center, Lafayette, LA. Open-File Report 2004-1323</ref> reported slightly different relationships for male and female spotted seatrout, and for fall and spring:

			''Fall/male: W = 0.00000534L<sup>3.093</sup>''

			''Spring/male: W = 0.000011535L<sup>2.989</sup>''

			''Fall/female: W = 0.000006252L<sup>3.066</sup>''

			''Spring/female: W = 0.000007834L<sup>3.035</sup>''

			Only the relationship for male spotted seatrout in the spring appears noticeably different from the others on a graph.

			==Fishing==
			[[Image:FishingLight.ogv\|300px\|thumb\|right\|These spotted seatrout are attracted to the light of a glow stick.]]
			While spotted seatrout are caught by both commercial and recreational fishermen, recreational fishing represents the vast majority of the catch. Almost all spotted seatrout are caught with hook and line, as many places have banned fishing for them with gillnets. The most common bait is shrimp, especially live shrimp, and larger trout prefer small bait fish such as menhaden. One catching technique, after dark, is to throw out a glow stick into the water and cast around it, as these fish are attracted to light (see [[Fishing light attractor]]).

			[[Image:Speckled Trout Fishing Louisiana.jpg\|300px\|thumb\|left\| Speckled trout are among the top ten species for recreational fishing in the United States.]]
			According to the [[NOAA]], spotted seatrout are in the top ten species for recreational fishing in the United States.<ref>[http://www.montereybayaquarium.org/cr/cr_seafoodwatch/content/media/MBA_SeafoodWatch_SpottedSeatroutReport.pdf Monterey Bay Aquarium sustainable seafood report for Spotted Seatrout, October, 2011] </ref> From 1993 – 2003, recreational fishermen in Louisiana harvested more than 6 million spotted seatrout each year.<ref>[http://www.seagrantfish.lsu.edu/pdfs/factsheets/speckledtrout.pdf Horst, J. Speckled Trout Fact Sheet] SeaGrant Louisiana. 2005 p. 1-2 </ref> Along the coasts of North Carolina and Virginia, more than half a million speckled trout were caught by recreational fishermen each year between 2005 and 2008.<ref>North Carolina Spotted Seatrout Fishery Management Plan. North Carolina Division of Marine Fisheries. March, 2010</ref> Nevertheless, because they reproduce so well, spotted seatrout is listed as a “best choice” for sustainable seafood in Louisiana and Florida by the Monterey Bay Aquarium's Seafood Watch.

			<!-- wrong species, uncited Weakfish are so named because their mouth is very fragile compared to other gamefish. Many Weakfish are lost by gamefisherman when the fisherman strikes too hard or tries to horse the fish in. The Weakfish's mouth is easily torn. A light strike and a constant strain in more effective. Fishing is most intense in sheltered inside waters. More big trout are caught in spring because they move into shallow beach and bay habitats at that time for their first spawn of the season. The rest of the summer and early fall, the larger trout tend to stay in cooler Gulf waters and only periodically enter beach and bay habitats for subsequent spawns. Many of the large fish winter offshore, with a few wintering in the interior marshes, where they are very sluggish. -->

			==Management==
			The management of the species is limited to size and possession limits, but programs have been initiated to gather more information on their overall health and abundance.<ref name="asmfc-spotted seatrout">
			{{cite web
			\| url = http://www.asmfc.org/spottedSeatrout.htm\| title = Atlantic States Marine Fisheries Commission: Spotted Seatrout
			\| accessdate = 2009-06-30
			}}</ref>

			==External links==
			*[http://www.sms.si.edu/irlspec/cynosc_nebulo.htm Smithsonian Marine Station at Fort Pierce, FL page on spotted seatrout.]
			*[http://menhaden.gsmfc.org/pdf/SeaTroutPlanWeb.pdf Blanchet et al. The spotted seatrout fishery of the Gulf of Mexico, United States. A Regional Management Plan.] Gulf States Marine Fisheries Commission. Publication 87 March, 2001
			* {{ITIS \|id=169239 \|taxon=Cynoscion nebulosus \|accessdate=24 January 2006}}
			* {{FishBase species\|genus=Cynoscion\|species=nebulosus\|year=2005\|month=November}}

			==References==
			<references/>

			[[Category:Fly fishing target species]]
			[[Category:Sciaenidae]]
			[[Category:Saltwater fish of Florida]]

en>Kusma: Georg Duffing needs to be written, see :de:Georg Duffing

2012-08-16T07:26:48Z

Georg Duffing needs to be written, see de:Georg Duffing

New page

The author's title is Andera and she thinks it sounds fairly good. The favorite pastime for him and his children is to perform lacross and he would never give it up. He is an info officer. Alaska is the only location I've been residing in but now I'm contemplating other choices.<br><br>My webpage; [http://www.familysurvivalgroup.com/easy-methods-planting-looking-backyard/ spirit messages]