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Also define the vector β of corresponding decision variables, i.e. the amount of each asset constructed.
To reformulate (25) in matrix form, we define the vector (26).
In the same way, we define the vector v Q as the first Q components of v.
In order to formally describe the proposed model-based method of parameter exchange and optimization, we define the vector (5).
Let us define the vector (boldsymbol {delta }^{mathbf {2}} = left [delta _{1}^{2}, cdots, delta _{P}^{2}right ]^{T}).
Define the vector C comprising the costs of each element of potential expansion plans, including gas power plants, gas pipes, and electricity transmission lines.
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# Define the vectors of membrane conductances and capacitances.
We define the vector-valued generalized weighed Morrey spaces as follows.
For the matrix, we define the vector-induced -norm by (4.5).
We define the vector-valued functions α j, j = 1,..., m as α j ( x ) = ( a + B x ) X Σ j ( x ), x ∈ Σ.
We define the vector-valued function mathbf{f}_{epsilon}(t)=bigl(f_{1,epsilon}(t),ldots,f_{q,epsilon}(t) bigr).
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