Sentence examples for solution can be formulated from inspiring English sources

Based on the traditional game theory, the Nash bargaining solution can be formulated as follows [6].

Then the solution can be formulated as follows: u ( Z ) = ∑ m = 0 ∞ u m Z m, (24).

In this case, the necessary condition for optimal solution can be formulated as a requirement of having the network revenue gradient with respect to PUs offered spectrum equal to zero vector: (20).

Given (Ain mathbf{R}^{mtimes n}) and (bin mathbf{R}^{n}), the solution of equation (Ax=b) involves two cases: (i) The equation has a solution (xin mathbf{R}^{n}) and the general solution can be formulated as x=A^b+bigl I-A^Abigr y (16) if and only if (AA^b=b), where (yin mathbf{R}^{n}) is an arbitrary vector.

The equation has a solution (xin mathbf{R}^{n}) and the general solution can be formulated as x=A^b+bigl I-A^Abigr y (16) if and only if (AA^b=b), where (yin mathbf{R}^{n}) is an arbitrary vector.

We show that our solutions can be formulated as generalized sidelobe cancellers (GSCs), which tie our constrained minimizations to linear minimum mean-squared error (LMMSE) estimations.

His group uses a combination of field-based investigations, laboratory studies, and computer models to develop a quantitative understanding of both physical and chemical processes occurring in the ambient atmosphere so that effective solutions can be formulated.

The theory is now extended to the linearized carbon labeling system: the general solution of (1) can be formulated as a linear combination of the particular solution (6) with its homogeneous part, i.e., Δ Θ ^ = (J T ⋅ Σ η − 1 ⋅ J − 1 ⋅ J T ⋅ Σ η − 1 ⋅ (η − F + n u l l (J ⋅ β.

The solution of (11) can be formulated by utilizing the Mittag-Leffler function chi(t) =tau E_{nu}bigl(Upsilon t^{nu} bigr), (12) where E_{nu}(t):= sum^{infty}_{j=0} frac{t^{j}}{Gamma(1+j nu)}.

Note that if the split feasibility problem (1.1) is consistent (i.e., (1.1) has a solution), then (1.1) can be formulated as a fixed point equation by using the fact P C ( I − γ A ∗ ( I − P Q ) A ) x ∗ = x ∗. (1.2).

It is only through a thorough understanding of the current reality that valid alternatives or solutions for improvement can be formulated.