Semiboundedness
Translation of "semiboundedness" into Russian
semiboundedness
NounUK
/ˌsɛmɪˈbaʊndɪdnəs/
US
/ˌsɛmɪˈbaʊndɪdnəs/
semiboundedness
полуограниченность
The semiboundedness of the operator ensures stability in the system.
Полуограниченность оператора обеспечивает стабильность в системе.
Definitions
semiboundedness
NounUK
/ˌsɛmɪˈbaʊndɪdnəs/
US
/ˌsɛmɪˈbaʊndɪdnəs/
The quality or state of being partially bounded or limited.
The semiboundedness of the mathematical function was evident in its graph, which extended infinitely in one direction but was limited in the other.
(mathematics) The property of a function, operator, or set that is bounded on at least one side, either above or below.
In functional analysis, the semiboundedness of the operator guarantees that its spectrum is bounded from below.