Sentence examples for abbreviate the notation from inspiring English sources

The phrase "abbreviate the notation" is correct and usable in written English.
You can use it when you want to suggest simplifying or shortening a notation in a mathematical or technical context.
Example: "To make the equations easier to read, we should abbreviate the notation used for the variables."
Alternatives: "shorten the notation" or "simplify the notation".

Exact(7)

We abbreviate the notation by writing.

We will abbreviate the notation by writing for this solution.

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)).

Where it is clear what input data points, D, we are referring to, we abbreviate the notation to B. Our goal is to determine which function optimization method is fastest (in terms of computer time) at training static, thermodynamic transcription models.

In this section we abbreviate the notation for multivariate genotypes to G. The population prevalence for any n-locus model can be computed by (1) K = ∑ G P (G ) f G. Here, the sum is over all 3 n MLGs G in the model, P G is the probability that MLG G occurs, and f G is the penetrance value associated with G given by the penetrance function.

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In this paper, the notation stands for the Banach space of bounded linear operators from into endowed with the uniform operator topology, and we abbreviate this notation to when.

When ((Y,|cdot|_{Y})) and ((Z,|cdot|_{Z})) are Banach spaces, we denote by (mathcal{L}(Y,Z)) the Banach space of the bounded linear operators from Y into Z endowed with the norm of operators and we abbreviate this notation to (mathcal{L}(Y)) whenever (Z=Y).

As usual, for a linear operator A, we denote by D(A) the domain of A, by the family R z; A) = (zI - A -1, z ∈ ρ(A -1f bounded linear operators the resolvent of A. Moreover, we denote by L(X, X) the space of all bounded linear operators from Banach space X to X with the usual operator norm ||·||L(X, X), and we abbreviate this notation to L(X).

Throughout this paper, for Hilbert spaces,, we denote by the Banach space of bounded linear operators from into, and we abbreviate this notation by for.

Next, we denote N 1 = sup t ∈ J ∥ AS ( t ) ∥ L ( E, X ), in which L ( E, X ) stands for the Banach space of bounded linear operators from E into X, and we abbreviate this notation to L ( X ) when E = X.

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