Sentence examples for defined as a manifold from inspiring English sources
The terminal surface is defined as a manifold, denoted by h, which is parametrized using n−1 variables (where n is the number of states).
In GTR, a model system consists of a point manifold M on which a metric tensor gab is defined, as well as a stress-energy tensor Tab (which can be everywhere zero), jointly satisfying Einstein's field equations.
Such a manifold is somewhat arbitrarily defined, as long as the system dynamics are stable on it.
This is defined as a smooth one-dimensional manifold P ⊂ ℝ 2, with coordinates in the x-y plane given by the pair (p xd,p yd ), which are parameterized by a scalar time-dependent variable Θ t) as P = p xd , p yd ∈ ℝ 2 : Θ ≥ 0 (39).
Finally, Grassmann distance between manifold subspaces is defined as a damage index.
Finally, margin in SVM classifier modeled from Grassmann manifolds corresponding to structural normal state and abnormal state, respectively, is defined as a SHM index.
And art itself may be defined as a single-minded attempt to render the highest kind of justice to the visible universe, by bringing to light the truth, manifold and one, underlying its every aspect..
