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Then they can be alternatively formulated as finding the zero point of the operator T x) = F x) + N C (x) where N C ( x ) = { y ∈ C | y, z - x ≤ 0, ∀ z ∈ C } if x ∈ C, ∅ otherwise.
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They can be simply formulated.
can be now formulated as follows: (40).
Alternatively, CA can be formulated as: EC x Mix = ∑ i = 1 n p i EC x i − 1 (3).
Alternatively, this problem can be formulated as an SDP problem: (12) min q, p α s.t.: M q ≥ 0, I ≤ p M q ≤ α I p ≥ 0, u T q = N, where I is the identity matrix, α is the condition number, and p equals 1/ λmin(M).
Alternatively, the design problem can be formulated as a lowpass digital filter optimization problem with additional constraints to guarantee the orthogonality of subcarriers.
Alternatively, if the circuit response must be inducer concentration dependent then the objective function can be formulated again as a the minimization of a least squares sum by considering multiple inducer concentrations.
Mixed fertilizers can be formulated in hundreds of ways.
Few recommendations can be formulated.
Mathematically, this optimization can be formulated as.
These can be formulated as follows.
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