"a generalized projection" is correct and can be used in written English.
It refers to a broad or general estimation or prediction. Example: "According to a generalized projection, the economy is expected to see a gradual growth over the next few years."
It unfolds phonon dispersions by using a generalized projection algorithm, which can be used to any kind of atomic systems in principle.
Alber [1], introduced a generalized projection map ∏ C : E → C in a Banach space which is an analogue of the metric projection in a Hilbert space.
In this connection, Alber [34] introduced a generalized projection operator in Banach spaces which is an analogue of the metric projection in Hilbert spaces.
In this connection, Alber [13] introduced a generalized projection operator (Pi_{C}) in Banach spaces which is an analogue of the metric projection in Hilbert spaces.
Alber [22] has recently introduced a generalized projection operator in a Banach space which is an analogue representation of the metric projection in Hilbert spaces.
In this connection, Alber [2] introduced a generalized projection operator Π D in Banach spaces which is an analogue of the metric projection in Hilbert spaces.
Theoretically, the projection is easier for calculating than the generalized projection in a general Banach space since the generalized projection involves a Lyapunov functional.
(2) Using the technique of generalized gradient projection, we construct a generalized gradient projection feasible decent direction.
Observe that, in a Hilbert space, (2.2) reduces to, The generalized projection is a map that assigns to an arbitrary point the minimum point of the functional that is, where is the solution to the minimization problem (2.3).
Observe that, in a Hilbert space, (2.3) reduces to for all The generalized projection is a mapping that assigns to an arbitrary point the minimum point of the functional that is, where is the solution to the minimization problem: (2.4).
Observe that, in a Hilbert space, (1.4) is reduced to The generalized projection : → is a map that assigns to an arbitrary point, the minimum point of the functional that is, where is the solution to the minimization problem.
