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Velocity is L/T, gradient ("per unit distance") is 1/L so L/T x 1/L = 1/T

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Q: What is the dimensional formula of velocity gradient?
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What is the dimension formula of velocity?

Since speed or velocity = distance/time ,its dimensional formula =L/T = [MoLT-1]


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Assume you want to know what is the formula of the gradient of the function in multivariable calculus. Let F be a scalar field function in n-dimension. Then, the gradient of a function is: ∇F = <fx1 , fx2, ... , fxn> In the 3-dimensional Cartesian space: ∇F = <fx, fy, fz>


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