To every vector function
(more precisely to every equivalence class in [S.
n]; z) is the vector function
, obtained as a result of the transition from continuous functions to their nodal values by means of finite-difference formulas for the derivatives with respect to the spatial coordinates x.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] components have non-zero first derivatives in a neighborhood of the point [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] defined by the nominal values of parameters and initial conditions.
g] is the vector function
for parabolic-profile cutter surfaces of segment a; Eq.
Among the different nodes based on their network performance this new routing protocol (INASDR) will built the node vector function
which will direct the communication state of the whole network.
Projecting of the Curl Equations (1): Denote for a while the field vectors, E and H each, as a three-component vector function
, F = F + z [F.
Theorem 2 An optimal control u(t) in the Lagrange problem, optimal trajectory x(t|u)and optimal vector function
[psi](t|u) for t [member of] <0, T> are the solutions to (2n + r) systems of equations
When vector function
(1) is not given or is of a complicated form, it is not possible to solve the task of optimal control by the analytic method.
0] is the leading vector of the elements' cross-sections of design geometry; A(x) is the vector function
of cross-section geometry conversion to crosssection areas.
p,[rho]h(t)] and defined as in (4), but with respect to the vector function
The action of a matrix function U on a vector function
F will be pointwise multiplication, i.
In Figs 1 and 2, some examples of the vector function
components, M(h) and N(t), are shown.