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Though Mr. Lindberg devised the rhythmic relationships in "Kraft" through mathematical formulas, I could believe that he had written the piece intuitively, since it comes across as spontaneous and keeps you wondering what will happen next.
We take both our Formulas (I) and (II) for the comparison with the MM method.
Artificial selection (selection index) was calculated according to the following formulas: I = b1x1 + b2x2 + b3x3 (Hazel 1943).
The properties were determined by three methods that exploited the 3D elastic homogenization formulas: (i) quasi-elastic method, (ii) correspondence principle, and (iii) direct time integration of the incremental viscoelastic equations.
The left-sided and respectively right-sided Riemann-Liouville integrals of order α are given by the formulas ( I a, + α f ) ( x ) = 1 Γ ∫ a x ( x − s ) α − 1 f ( s ) d s, x > a, (1).
Proof First, we define the integral I j ( x 1 ), j = 2, …, n, by the formulas I j ( x 1 ) = ∫ D j − K ( x ) ∏ i = 2 n | x i | A ˜ i − ε / p i d ˆ 1 x, where D j − is defined by (2.15).
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A championship for Formula I car manufacturers was begun in 1955.
In its first year, Man Booker behaved like a Formula I thoroughbred.
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