Sentence examples for abbreviate notation from inspiring English sources

To abbreviate notation, we suppress the indicators of the dynamic setting.

To abbreviate notation, write r (T ) ≔ Δ T U (T ) − f for the residual.

To abbreviate notation, set ω k (T ; T ) ≔ ω k (T ; { T } ).

In proofs, we may abbreviate notation by use of the symbol ≲ which indicates ≤ up to some multiplicative constant which is clear from the context.

To abbreviate notation, we shall also write L 2 = H 0 = H ˜ 0. It follows that all H s and H ˜ s are dense subspaces of L 2 with respect to the L 2 - norm.

The constant C 14 > 0 depends only on Ω and σ (T 0 ), whereas C 15 > 0 additionally depends on the saturation constant C sat. □ To abbreviate notation, let X ℓ = S 1 (T ℓ ) and X ^ ℓ = S 1 (T ^ ℓ ) as well as Y ℓ = P 0 (E ℓ Γ ) and Y ^ ℓ = P 0 (E ^ ℓ Γ ).

We abbreviate the notation by writing.

We will abbreviate the notation by writing for this solution.

We next abbreviate the notation by writing ({ |P| = sup_{0 leq s leq t leq a} |P t,s)|}).

When (f_{lambda }=f), (forall lambda in Lambda ), we abbreviate the notation and simply write (Uprecsim f), and then say that U is subordinated to f.

From here on in this chapter we abbreviate the notation by writing (mathrm {Sp} := mathrm {Sp}(W)) and (mathfrak {sp} := mathfrak {sp} (W)).