Sentence examples for indeed, for instance from inspiring English sources

Indeed, for instance, maintenance tasks and improvements in the manufacturing process involve changes in the PLC (programmable logic controller) program that can have bad security consequences.

Indeed, for instance, let ({u_{n}}subset operatorname{Fix}(S)) be a sequence such that (lim_{n to+infty }u_{n} = u).

Indeed, for instance, in case (i) the -classification gives the additional information that all slowly varying solutions tend to a positive constant, while all the regularly varying solutions of index 1 are asymptotic to a positive multiple of.

Indeed, for instance, if the function ℱ is actually a functional of the past trajectory of variable v ϵ which can be expressed as the solution of an additional SDE, then it may be possible to include a certain form of history-dependence.

Indeed, for instance, the difference equation employed to approximate the dynamics of the substrate function may be rewritten as α x s m − 1, n k + 1 + α y s m, n − 1 k + 1 + ϕ m, n k s m, n k + 1 + α y s m, n + 1 k + 1 + α x s m + 1, n k + 1 = s m, n k, (38).

Indeed, assume, for instance, that x i ≼ i y i for all i.

Indeed, consider for instance the hyperplane (H={x_1=0}) and assume by contradiction that there exists (xin F) such that its reflection (r_H x not in F).

Some species introduced by human beings are indeed destructive, for instance, zebra mussels (Dreissena polymorpha) in the Great Lakes, while in other places they can increase biodiversity (the honeysuckle, for instance, favors native bird species in Pennsylvania; Davis et al.2011).2011

There are legitimate objections, as well, of course: a request for a printed copy of the source code is indeed "frivolous," for instance, and although Facebook tracks location, it doesn't necessarily know the legal residence of a given user, so requests for that (critical for a class action relying on state jurisdiction) are also unable to be fulfilled.

Indeed, observe for instance that due to the monotonicity properties of the operator assumed in (16), considering a solution that belongs to the space W 1, p automatically implies that the measure μ belongs to the dual W - 1, p ′, which is certainly not the case for any measure when p ≤ n.

Indeed, if, for instance, S π is affinely homogeneous and is an affine equivalence between S π and, then f∘g is a linear equivalence between S π and, where g is an affine automorphism of S π such that g(0)=f -1 0).