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Memory Alpha
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The '''Cochrane Equation''' is a fundamental mathematical relationship which dictates how much [[subspace]] distortion is nessacary to create a stable [[warp field]]. It become non-constant in the presence of a sufficient gravimetric [[energy]]. It was named after [[Zefram Cochrane]].
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The '''Cochrane equation''' was a fundamental [[math]]ematical expression in [[warp theory]] related to the creation of a stable [[warp field]] within the laws of physics. Named after [[Zefram Cochrane]] who wrote the book on warp theory on [[Earth]].
   
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In [[2153]], the {{EnterpriseNX}} entered the [[Delphic Expanse]] and encountered the [[Spatial anomaly|spatial anomalies]] of the region. [[Commander]] [[Charles Tucker III|Tucker]] noted that inside these areas of extreme [[spatial distortion]], the Cochrane equation was no longer a constant. Within the anomalies, the [[quantum]] variables became a problem for establishing a stable warp field. Any attempt to compensate, caused problems with the spatial gradients. Tucker noted he could have used help from [[Isaac Newton]] to solve the problem.
The Cochrane Equation did not exist in the [[Delphic Expanse]]. ({{ENT|Anomaly}})
 
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It was learned from an [[Osaarian]] pirate that [[trellium-D]] insulation of the hull would allow the ship to stay unaffected by the anomalies. ({{ENT|Anomaly}})
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{{bginfo|''[[Star Trek Maps]]'' mentions the Cochrane's factor, a mathematical variable pointed out by Zefram Cochrane in [[2053]], in which the curvature of space the ship is traveling through causes a multiplication of the relative speed depending on the mass of nearby matter. It can be as high as a multiplication of 1500 times within the most dense interstellar dust and gas, and as little as 1 in the intergalactic void.}}
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==See also==
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*[[Bessel function]]
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*[[Cochrane (unit)|Cochrane]]
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*[[Warp equation]]
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*[[Warp factor]]
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[[Category:Warp]]
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[[Category:Mathematics]]

Revision as of 02:19, 9 November 2012

The Cochrane equation was a fundamental mathematical expression in warp theory related to the creation of a stable warp field within the laws of physics. Named after Zefram Cochrane who wrote the book on warp theory on Earth.

In 2153, the Enterprise NX-01 entered the Delphic Expanse and encountered the spatial anomalies of the region. Commander Tucker noted that inside these areas of extreme spatial distortion, the Cochrane equation was no longer a constant. Within the anomalies, the quantum variables became a problem for establishing a stable warp field. Any attempt to compensate, caused problems with the spatial gradients. Tucker noted he could have used help from Isaac Newton to solve the problem.

It was learned from an Osaarian pirate that trellium-D insulation of the hull would allow the ship to stay unaffected by the anomalies. (ENT: "Anomaly")

Star Trek Maps mentions the Cochrane's factor, a mathematical variable pointed out by Zefram Cochrane in 2053, in which the curvature of space the ship is traveling through causes a multiplication of the relative speed depending on the mass of nearby matter. It can be as high as a multiplication of 1500 times within the most dense interstellar dust and gas, and as little as 1 in the intergalactic void.

See also