Sentence examples for metric c from inspiring English sources

Using the signal model from (8), the correlation metric C b [m], derived from C b A [ m ] in (13), can be written as C b [ m ] = 2 W ∑ k ∈ K 2 b ~ k, m ∗ b ~ k, m + 2. (52..

Example 2 Let X = R (with the usual metric), C = [ − 4, 4 ] and F : C 2 → X be defined by F ( x, y ) = 4 − x 2 − 2 y, ∀ x, y ∈ C. Then F is weakly Lipschitzian with constants a = 8 and b = 2 (in the sense of Definition 1) and F possesses two coupled fixed points ( − 4, − 4 ), ( 1, 1 ) with equal components and two coupled fixed points with unequal components, ( − 1, 2 ) and ( 2, − 1 ).

Setting m=0 and discarding the index m for simplicity in C b [m], the metric C b can be written in matrix notation as C b = 2 W b ~ 0 H b ~ 2 = 2 W ( γ e jϕ a 0 E b 0 + Ψ 0 ) H ( γ e jϕ a 2 E b 2 + Ψ 2 ) (53). which can be approximated for small values of τ and ν, resulting in a i ≈1 and E=I.

In order to counter congestion problems, authors in [77] first propose a contention metric C r (t) to estimate the amount of congestion in different regions r, at time t: C r ( t ) = α D r × B r S r + β U r. (1).

Example 3 Let X = R (with the usual metric), C = [ − 1, 1 ].

The decision metric C is compared with λ3 for PU presence or absence.

According to [51], the quasi-metric space ( C c, d C | C c ) is bicomplete.

Hence, by Proposition 14, we have that the partial metric space ( C c, p C c ) is complete.

Delta {text{C}} = sum {left[ {{text{A}} * left( {{text{C}}_{text{g}} - {text{C}}_{text{l}} } right)} right]}where, A area of land, ha; Cg annual rate of gain (flow) of carbon, metric tons C per ha per year; Cl annual rate of loss (flow) of carbon, metric tons C per ha per year.

In the light of Proposition 13, we have that the partial metric p C induces the quasi-metric d p C on C given by d p C ( f, g ) = p C ( f, g ) − p C ( f, f ). for all f, g ∈ C.

Let ( X, d ) be a metric space, C a closed convex subset of X and T : C → C a mapping.