Sentence examples for there is l from inspiring English sources

With a small modification of D p g, we may assume that there is l > 0 such that D p g l ( v ) = v for any v ∈ E p c by Lemma 5.1.

Since p is nonhyperbolic for g 1, by our construction, we may assume that there is l > 0 such that D p g 1 l ( v ) = v for any v ∈ E p c 1 ∩ φ p − 1 ( B α ( p ) ).

With a C 1 -small modification of the map D p g, we may suppose that there is l > 0 (the minimum number) such that D p g l ( v ) = v for any v ∈ φ p ( B α ( p ) ) ⊂ T p M. Then we can go on with the previous argument in order to reach the same contradiction.

With a C 1 -small modification of the map D p g, we may suppose that there is l > 0 (the minimum number) such that D p g l ( v ) = v for any v ∈ φ p ( B α ( p ) ) ⊂ T p M. Take v 0 ∈ φ p ( B α ( p ) ) such that ∥ v 0 ∥ = α / 4, and set L p = φ p − 1 ( { t ⋅ v 0 : 1 ≤ t ≤ 1 + α / 4 } ).

Then there is l > 0 such that P Z l + π ( p ) is the identity.

Then, since supph is compact, there is (L > 0) such that (operatorname{supp} h subset B_{L}(0)).

Assume that at some arbitrary time there are l nodes with observed infection state L={(1,X 1),…, l, X l))}.

are continuous for almost all t ∈ [0, a] and there are, L = (L1,..., L n ), such that.

Suppose, further, there are l possible social decisions for each profile (in the example, l = 3, allowing ties).

There are l potential locations for opening new facilities.

Assume there are L states in the model.