Sentence examples for at different occurrences from inspiring English sources

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

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

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

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

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.

Each individual amino acid variant must occur in at least 3 different occurrences.

Occurrences were aligned and each position taken in sequence and assessed for a 'specificity signal' (Fig. 1): Each individual amino acid variant must occur in at least 3 different occurrences.

here and in the following C denotes a positive constant independent of f and n, but its value may be different at a different occurrence.