In some cases the solution can be interpreted in terms of multiple reflections.
Finally, if with, the equation (4.10) can be written as a fractional derivative and the solution can be expressed in terms of the Fox functions.
In the barrier region the vector potential is A= (0, Bx, 0) and the solution can be expressed in terms of parabolic cylinder functions D ν, ψ = ∑ ± c ± D v / 2 - 1 [ ± 2 ( x + k y ) ] ± 2 v D v / 2 [ ± 2 ( x + k y ) ], (5).
We assume without loss of generality that the singular values are ordered from the largest to the smallest with indices ranging from 1 to N. Consequently, the decorrelator detector's solution can be written in terms of the SVD of Ψ ˜ ˜ as y D E C = Ψ ˜ ˜ † r = V Σ − 1 U H r = ∑ n = 1 N u n H r σ n v n (6).
A system of difference equations of the form begin{aligned} &z_{n}=f z_{n-1},ldots,z_{n-k}=f z_{n-1}ldots,ldotsk}) &w_{n}=g(z_{n-1},ldots,z_{n-k},z_{n-k}, ldots,w_{n-k}),quad nin mathbb {N}_{0}, end{aldotsd} where (kin mathbb {N}), is said to be solvable in closed form if its general solution can be found in terms of initial values (z_{-i}),w_{n-k}}), (i=overline {1,k}), delay k and index n only.
In the 2-D case of cubic B-spline interpolation, the solution can be envisaged in terms of deformation of a thin elastic 'plate' under tension (Inoue 1986).
For those who prefer concrete political concepts to four-word idioms, the problem and its solution can be framed it in terms of self-determination - a concept right there in Article 1 of Chapter 1 of the United Nations charter.
Another type of solution can be obtained when the dissipation term is dominant over the dispersion term.
For the short term, the international force in Kosovo must persist in defending against individual acts of retribution until a long-term solution can be found.
Although the credit line will not solve Vivendi's cash problems, it will provide some breathing room until a longer-term solution can be reached, the person said.
