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Roughly, the support condition gives 0 initial values at ( x_1 = 0 ) and hence ( P u = f ) can be uniquely solved for ( x_1 < 0 ).
Since b ≠ 0 and the analytic equation u = a z + b y + ϕ ( z, y ) (3). can be uniquely solved for y in the way y = − a b z + 1 b u + Λ ( z, u ), (4).
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For a lane-drop area, we demonstrate that the model is well-defined, and its Riemann problem can be uniquely solved.
Obviously, for (rho=0), FBSDE (7) is in a decoupled form and then can be uniquely solved.
For the example in Eq. (3), the determination of v2 and v3 "fills" the rank, and the system can be uniquely solved.
Combined with some appropriate initial conditions for the potential function u t, x) and the gating variables q t, x), the differential equations above can be uniquely solved.
The impulse responses of the filters are uniquely solved and expressed in simple analytic forms.
If there are only two components, i.e. Nc = 2, from Eq. (2) and ∑ i C i (r ) = 1, we are able to uniquely solve for Ci(r) if all f(P i) are known.
When there are more than 2 components, additional knowledge needs to be acquired in order to uniquely solve for C i(r).
We note that by using TSA, one can exactly verify that a total of k=2 and k=4 congested link delays can be uniquely found by solving ℓ1 minimization problem (2) for the randomly generated network measurement matrices 33×66 (12-node complete graph) and 53×105 (15-node complete graph) respectively.
In other words, a company should be uniquely qualified to solve a specific problem with a new solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com