Sentence examples for be a leaf of from inspiring English sources

Let N⊥ be a leaf of D⊥ and h' be the second fundamental form of the immersion of N⊥ into M and ∇' is the induced connection on N⊥, then by Gauss formula, we have ∇ Z W = ∇ Z ′ W + h ′ ( Z, W ). (4.7).

Then for any X, Y ∈ D ⊕ 〈ξ〉 by Equation (3.1), we have g ( ( ∇ ̄ X F ) Y, ϕ W ) = 0, therefore, by Equation (2.11) the above equation yields g(∇ X Y, W) = 0, this mean leaves of D ⊕ 〈ξ〉 are totally geodesic in M. Now, for any Z, W ∈ D⊥, by Equation (3.1), we get g ( ( ∇ ̄ Z F ) X, ϕ W ) = - ( X μ ) g ( Z, W ), or g ( ∇ Z W, X ) = - ( X μ ) g ( Z, W ). Let N⊥ be a leaf of D⊥.

E x) is empty if and only if x is a leaf of T. Each nonleaf x of T has exactly |E x)|+1 sons.

In Equation 15, the set S contains the training instances i, for which the task t i is a leaf of the current subtree.

Let us assume that N⊥ is a leaf of D⊥ and h' is the second fundamental form of the immersion of N⊥ into M, then g ( h ′ ( Z, W ), X ) = g ( ∇ Z W, X ).

By Theorem 2.1, S ( T M ) is integrable and M is locally a product manifold C 1 × M ∗, where C 1 is a null curve tangent to Rad ( T M ) and M ∗ is a leaf of S ( T M ).

Post-order traversal phase: If v is a leaf of N, then S v (i) is assigned 0 if the observed state is state i, and infinite otherwise.

If the reversible edge is a leaf of the tree structure then there can be no net flux leaving the tree from that edge.

A node query N T, v, x) for internal node v of phylogeny T and new taxon x is a quartet query q x, a1, a2, a3), where a i is a leaf of T in t i (T, v).

In genealogy, the boy is a leaf on a branch of his family's tree.

And as for shunning ads in favour of a pay-wall, that's a leaf out of Friends Reunited's book (and many others) and we all know how that turned out.