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There followed "U Got the Look," "7," "Anotherloverholenyohead," "Controversy": all Prince songs from the golden era.
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For the nearby stars the average values for these galactic components are as follows: U = −8 km/sec, V = −28 km/sec, and W = −12 km/sec.
These intervals are expressed as follows: U min ≤ U i ≤ U max (2).
Finally, u can be calculated as follows: u = d * e - α w (5).
U can be computed as follows: U = ∑ i = 1 m c i p i, (3).
The boundary data are as follows: u = u 0 Open image in new window (2).
Consider a memory-less state feedback controller as follows: u(t)=Kx t).
Their identical, strictly concave, utility function U t is as follows: U t ≡ u c t, e t, ∂ u ∂ c t > 0, ∂ u ∂ e t < 0. (2).
The differential transformation of the k th derivative of function u ( t ) is defined as follows: U ( k ) = 1 k !
Then the solution can be formulated as follows: u ( Z ) = ∑ m = 0 ∞ u m Z m, (24).
The well-known identities for ( u n ) and ( v n ) are as follows: u 2 n = u n v n, (2.1).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com