Sentence examples for paths is defined from inspiring English sources

(Entropy of Paths) The entropy of the paths is defined as S = - ∑ γ ∈ Γ p log p , (12 according to Shannon [13].

Once the A0 modes are extracted from all paths in the transducer network, the relative time delay of the A0 mode in each path with respect to the other paths is defined as a delamination sensitive feature.

Correlation factor of two node-disjoint paths is defined as the number of links connecting the two paths which is used to describe the interference of traffic between two node-disjoint paths.

Since both w and z are at distance at least 2 from v i and ℓ w,ℓ z ≤4, the latter can only occur if one of the paths is defined by (i), say P w, and the other is defined by (iii), say P z.

By Lemma 2.5, and the mountain-pass theorem in [31], a ((PS)) sequence of the functional (J u)) at the level c:=inf_{gammainGamma}max_{tin[0,1]}J bigl(gamma(t) bigr geqalpha>0 (2.2) can be constructed, where the set of paths is defined as Gamma:= bigl{ gammain C bigl([0,1],D^{s,p} bigl(mathbb {R}^{N} bigr) bigr):gamma(0)=0, J bigl(gamma(1) bigr)< 0 bigr}.

By Lemma 5.1, and the mountain-pass theorem in [31], a ((PS)) sequence of the functional (J_{a} u)) at the level c_{a}:=inf_{gammainGamma}max _{tin[0,1]}J_{a} bigl(gamma(t) bigr geq alpha_{0}>0 (5.1) can be constructed, where the set of paths is defined as Gamma_{a}:= bigl{ gammain C bigl([0,1],D^{s,p} bigl( mathbb {R}^{N} bigr) bigr):gamma(0)=0, J_{a} bigl(gamma(1) bigr)< 0 bigr}.

Similarly other paths are defined as, and.

Waypoints for straight and turning flight paths are defined.

Two alternate routing paths were defined for each couple of nodes.

Let us assume that the cost functions on the paths are defined by (4.2).

Critical conditions for branching of the equilibrium paths are defined and their post-critical behavior is discussed.