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Let F=rpr\vec { F } = \| \vec { r } \| ^ { p } \vec { r }

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Let F=rpr\vec { F } = \| \vec { r } \| ^ { p } \vec { r } , where p is a positive constant.Is there a value of p such that F\vec {F} is a divergence free vector field?


Definitions:

Bell-Shaped-Curve

A graphical representation of a normal distribution in statistics, where the apex represents the highest point or the mean, and the curve tapers equally on both sides.

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The classification of markets based on the competition level and the nature of product differentiation among firms within an industry.

Retained Earnings

are the portion of a company's profits that are held back and not distributed to shareholders as dividends, often reinvested in the business.

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