Sentence examples for mapping if it from inspiring English sources

A mapping f : X n → Y is called a general multi-Euler-Lagrange quadratic mapping if it satisfies the general Euler-Lagrange quadratic equations in each of their n arguments: (1.1).

For q > 1,a mapping J q : X → 2 X ∗ is said to be a generalized duality mapping if it is defined by J q ( x ) = { f ∗ ∈ X ∗ : 〈 x, f ∗ 〉 = ∥ x ∥ q, ∥ f ∗ ∥ = ∥ x ∥ q − 1 }, ∀ x ∈ X.

Definition 2.2 A mapping T : H → H is said to be an averaged mapping if it can be written as the average of the identity I and a nonexpansive mapping; that is, T = ( 1 − α ) I + α S, (2.1).

Further, the mapping f is called a generalized β-γ-type contractive mapping if it is a generalized β-γ-type contractive mapping of degree k for each (kinmathbb{N}).

A mapping T : A ∪ B → A ∪ B is said to be a relatively u-continuous mapping if it satisfies: (i) T ( A ) ⊆ B, T ( B ) ⊆ A ;   (ii) for each ε > 0, there exists a δ > 0 such that d ( T x, T y ) < ε + dist ( A, B ), whenever d ( x, y ) < δ + dist ( A, B ), for all x ∈ A, y ∈ B.  .

A multivalued mapping (F colon J timesmathbb{R}^{n} multimap mathbb{R}^{m}) with compact and convex values, where (J subsetmathbb {R}) is a compact interval, is an upper-Carathéodory (shortly, u-Carathéodory) mapping if it satisfies (i) (t multimap F t,x)) is measurable, for every (x in mathbb{R}^{n}),   (ii) (x multimap F t,x)) is u.s.c., for almost all (a.a).

Landlord John Wright, 50, initially planned to redevelop the Grade II building into luxury flats, but now aims to sell the building to MAP if it reaches its target.

A photograph can be a map if it serves to locate what it snaps.

It would shoot up to the top of our risk map if it was confirmed.

"You're only really on the map if it goes a second season.

Many people feel Luxembourg would be a blind spot on the map if it wasn't for Europe.