vector equation

vector equation

[′vek·tər i‚kwā·zhən]
(mathematics)
An equation involving vectors.
References in periodicals archive ?
In order to reduce the description of the calculation algorithm for the periodic dependencies of the coordinates of the mode on the Ta period, we write the DE system (1) by one vector equation
The other conservation equation involved in (18) and having the form of (17) is a (spatial) vector equation:
To discretize the curl-curl vector Equation (34), we first expand the magnetic vector potential in terms of basis functions [N.sub.j], which can be either low-order edge elements [32,33] or higher-order hierarchical basis functions [34]
(19) and (22) mean the vector equation for gear tooth surface of segment a and b:
Taking into account (A.13)-(A.15) the vector equation (A.12) in the inertial reference frame E written through the unit vectors [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of the noninertial reference frame B will have the following form.
The slewing motion of the mechanical system "crane boom B[O.sub.2]-load M" in Figure 1 is governed by the vector equation for the rate of change of moment of momentum [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] for the system "crane boom B[O.sub.2]-load M" with respect to point [O.sub.2] in the inertial reference frame [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]:
In the sense of Lyapunov, for the asymptotic stability of a linear homogeneous system described by the vector equation (1)it is sufficient that its maximum characteristic exponent is negative.
Obtaining the minimal positive solution of NARE by a vector equation. It has been shown by Lu [25] that the minimal positive solution of a NARE can be obtained by computing the minimal positive solution of a vector equation.
After determining the generalized momentum for the substance and the field we obtain vector Equation (19), which expresses the dependence of the generalized force on different physical variables for the substance in the field.
Equation (1) is the vector equation of motion including the acting forces on the model.
The claim is valuable because it will be lead to the idea of expressing a certain vector equation of a plane.