Sentence examples for at different occurrence and from inspiring English sources

Then the following error estimates hold: Vert P_{h}boldsymbol{u}-boldsymbol{u} Vert _{s}le Ch^{2-s} Vert boldsymbol{u} Vert _{2},quad s=0,1, forallboldsymbol{u}in bigl[H^{2}(Omega bigr]^{2}, where C used hereinafter represents a general positive constant which is possibly different at different occurrence and does not rely on h and k.

Throughout this paper C > 0 denotes a generic constant independent of mesh parameters and may be different at different occurrence.

Number of tags mapped over the randomized reference data sets, and vice versa, at different occurrences cutoffs.

(2.16) Noting that (Vert uVert _{0}le cVert nabla uVert _{0}) in (H_{0}^{1}(Omega)) (where c is a positive constant independent of h and k, possibly different at different occurrences).

We use c to denote constants and may denote different constants at different occurrences.

On the other hand, the letters C, C ′ denote generic constants independent of the finite element division size and not necessarily the same at different occurrences.

Here and subsequently, c will denote a positive constant, not necessarily the same at different occurrences.

Their value may be different at different occurrences, even within a single formula.

Their value may be different at different occurrences, even within the same formula.

Their value will be different at different occurrences, even within the same formula.

We denote by δ a sufficiently small positive number and by ε an arbitrarily small positive number, not necessarily the same at different occurrences.