Sentence examples for a standard operator from inspiring English sources
Let A be a standard operator algebra on an infinite dimensional Banach space X.
This transformation also has the added benefit of allowing for an exact operator splitting scheme, whereas in the original form a standard operator splitting was only second-order.
The processors run the tasks that are either provided by developers or obtained from a standard operator library (e.g., selection, join, sort).
First, the gradient magnitude and orientation are computed at each point of the window using a standard operator (Sobel 3 × 3 masks are used in our implementation).
Remark 6.2 If there exists τ 0 ∈ [ a 1, b 1 ] such that γ ( x ) = τ 0 for x ∈ [ − K, K ], then problem (2.1 - 2.3) has an impulse at fixed time τ 0 and a standard operator F 0, acting on the space of piece-wise continuous functions on [ a, b ] and having the form ( F 0 z ) ( t ) = ∫ a b G ( t, s ) f ( s, z ( s ) ) d s + c 0 k + G ( t, τ 0 ) J ( τ 0, z ( τ 0 ) ), t ∈ [ a, b ], (6.21).
By a standard compact operator argument, it is easy to show that T is a compact operator and it is strongly positive, meaning that T h > 0 on I ˆ for any h ∈ E with the condition that h ≥ 0 and h ≢ 0 on I; see [5, 6].
Although the root cause of bad performance is lazy evaluation, maybe a standard hook operator would make optimization easier.
Certain meromorphic matrix valued functions on C⧹R, the so-called boundary coefficients, are characterized in terms of a standard symmetric operator S in a Pontryagin space with finite (not necessarily equal) defect numbers, a meromorphic mapping into the defect subspaces of S, and a boundary mapping for S.
A standard crossover operator is applied over both parts of the chromosomes.
The solution strategy involves a non-standard operator split and a simplified version of the level-set update.
Deriving these properties, we have in detail made use of standard operator theoretical results on compactly defined linear operators with respect to star operations.
