Sentence examples for system is invariant from inspiring English sources

The invariance of a system defines a conservation law, e.g., if a system is invariant under translations the linear momentum is conserved, if it is invariant under rotation the angular momentum is conserved.

The new system is invariant in that it does not involve the extents of chemical reactions; it is written in terms of directly measurable quantities only.

This system is invariant under all bi-holomorphisms of D. The Hua-harmonic functions are, by definition, the nullspace of this system.

The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action.

Next we specialize our developments to consider systems where the associated linear system is invariant.

In order to obtain the similarity solutions of system (1), we derive its symmetry group such that the system is invariant under this group of transformations.

A new alarm system design method is proposed, in which it is assumed that the sign patterns and alarm sequences generated by the alarm system are invariant for each possible plant malfunction in a plant.

Under transformations of rotation x ˜ = x cos π 2 − y sin π 2, y ˜ = x cos π 2 + y sin π 2, the form of system (1.2) is invariant, hence system (1.2) lies in Z 4 -equivariant vector field.

Consider an abstract Hamiltonian system which is invariant under a one-parameter unitary group of operators.

Consider an abstract Hamiltonian system which is invariant under a group of operators.

In particular, when the overall system description is invariant under unitary coordinate transformations of the state space matrices, synthesis semidefinite programs can be decomposed into a collection of smaller semidefinite programs.