Sentence examples for corresponding lies from inspiring English sources

Observe that when, the corresponding lies in the interior of the stability region.

However, from Equation (6), it follows that all values of f for which the corresponding lies outside the interval are strictly smaller than the value of f corresponding to.

The corresponding Lie algebra is n i l = 0 x z 0 0 y 0 0 0 | x, y, z ∈ ℝ.

where is a discrete-time trajectory on a six-dimensional affine Lie group, is a velocity on the corresponding Lie algebra, are Gaussian white zero-mean stochastic processes.

For the Lie point symmetry X 1 = ∂ t, the corresponding Lie characteristic functions are W 1 = − u t and W 2 = − v t.

If N is odd (respectively even), then the corresponding Lie algebra is of type (D_{j} times C_{theta -j}) (respectively (D_{j}times B_{theta -j})).

end{aligned} (11) The corresponding Lie algebra of symmetries consists of the following vector fields: X=xi^{1}frac{partial }{partial x}+xi^{2}frac{partial }{partial t}+eta frac{partial }{partial u}.

The present paper continues previous work based on the fact that even if the corresponding Lie algebra may be not solvable, closed-loop stability can still be achieved by "approximate" triangularization.

The entire set of finite screws forms a Lie group under screw triangle product, while the entire set of instantaneous screws is the corresponding Lie algebra under screw cross product.

We can induce a more explicit Lie algebroid configuration by fixing compatible frames of reference, boundary conditions and some classes of symmetries describing two (interrelated) theoretical models on the N-anholonomic manifold and on a corresponding Lie N-algebroids.

It is proved that the entire set of finite screws forms an algebraic structure as Lie group under the screw triangle product and its time derivative at the initial pose forms the corresponding Lie algebra under the screw cross product, allowing the algebraic structures of finite screws in quasi-vector form and instantaneous screws in vector form to be revealed.