basic_tools:vector_calculus:divergence
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basic_tools:vector_calculus:divergence [2018/03/27 17:10] 63.143.42.250 ↷ Links adapted because of a move operation |
basic_tools:vector_calculus:divergence [2018/03/28 12:23] (current) jakobadmin |
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| ====== Divergence ====== | ====== Divergence ====== | ||
| - | <tabbox Why is it interesting?> | ||
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| - | The divergence is a crucial tool, for example, in [[models:classical_electrodynamics|electrodynamics]]. This can be seen immediately, because the fundamental equations of electrodynamics (called [[equations:maxwell_equations|Maxwell equations]]) contain the divergence of the electric and magnetic fields. | ||
| - | <tabbox Layman> | + | <tabbox Intuitive> |
| <blockquote>Divergence (div) is “flux density”—the amount of [[basic_tools:vector_calculus:flux|flux]] entering or leaving a point. Think of it as the rate of flux expansion (positive divergence) or flux contraction (negative divergence). If you measure flux in bananas (and c’mon, who doesn’t?), a positive divergence means your location is a source of bananas. You’ve hit the Donkey Kong jackpot. | <blockquote>Divergence (div) is “flux density”—the amount of [[basic_tools:vector_calculus:flux|flux]] entering or leaving a point. Think of it as the rate of flux expansion (positive divergence) or flux contraction (negative divergence). If you measure flux in bananas (and c’mon, who doesn’t?), a positive divergence means your location is a source of bananas. You’ve hit the Donkey Kong jackpot. | ||
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| <cite>[[https://betterexplained.com/articles/divergence/|Vector Calculus: Understanding Divergence]] by Kalid Azad</cite></blockquote> | <cite>[[https://betterexplained.com/articles/divergence/|Vector Calculus: Understanding Divergence]] by Kalid Azad</cite></blockquote> | ||
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| - | <tabbox Student> | + | <tabbox Concrete> |
| * [[https://betterexplained.com/articles/divergence/|Vector Calculus: Understanding Divergence]] by Kalid Azad | * [[https://betterexplained.com/articles/divergence/|Vector Calculus: Understanding Divergence]] by Kalid Azad | ||
| * Another great discussion of the divergence in vector calculus can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which is available [[http://www.feynmanlectures.caltech.edu/II_03.html|here]] | * Another great discussion of the divergence in vector calculus can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which is available [[http://www.feynmanlectures.caltech.edu/II_03.html|here]] | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| <note tip> | <note tip> | ||
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| - | <tabbox Examples> | + | <tabbox Why is it interesting?> |
| - | --> Example1# | + | The divergence is a crucial tool, for example, in [[models:classical_electrodynamics|electrodynamics]]. This can be seen immediately because the fundamental equations of electrodynamics (called [[equations:maxwell_equations|Maxwell equations]]) contain the divergence of the electric and magnetic fields. |
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| - | <-- | ||
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| - | --> Example2:# | ||
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| - | <-- | ||
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| - | <tabbox FAQ> | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
basic_tools/vector_calculus/divergence.1522163428.txt.gz · Last modified: 2018/03/27 15:10 (external edit)
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