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The generalized projection Π C : E → C is a mapping that assigns an arbitrary point x ∈ E to the minimum point of the functional ϕ ( x, y ), that is, Π C x = x ¯, where x ¯ is the solution to the minimization problem ϕ ( x ¯, x ) = inf y ∈ C ϕ ( y, x ).
An assignment v is a mapping that assigns to every variable x i ∈ X an element v (x i ) ∈ D i.
A first-order valuation in FOIL model \ \cM\) is a mapping that assigns to each object variable a member of \ \bD_{O}\), as before, and to each intension variable a member of \ \bD_{i}\).
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).
The generalized projection Π C : E → C is a mapping that assigns to an arbitrary point x ∈ E the minimum point of the functional ϕ x, y), that is,, where is the solution to the minimization problem.
The generalized projection is a mapping that assigns to an arbitrary point the minimum point of the function, that is,, where is the solution to the minimization problem (1.3).
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Let (tau_{A,C}colon M to X) be the map that assigns to (xin M) the value (tau(x)).
Folding of RNA sequences into secondary structures is viewed as a map that assigns a uniquely defined base pairing pattern to every sequence.
According to this model, pedestrians construct a virtual risk map that assigns the entire crossing area with probabilities for a collision with vehicles, and then select their actions based on their perceived probability for collision.
On a given set A, an n-ary connective is interpreted by a n-ary function on A (a map that assigns an element of A to every sequence < a1, …, an> of elements of A).
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com