Sentence examples similar to with a simplified notation from inspiring English sources

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A peak assignment defines the assignment of a single peak p k : p k → r i or, in a simplified notation, k→ i.

A simplified notation for probabilities of random quantities is used with (Pleft (boldsymbol {y}^{n} vert x^{n} right)= Pleft ({mathbf {{y}}}^{n} = boldsymbol {y}^{n} vert mathrm {x}^{n} = x^{n} right)).

We introduce a simplified notation that will be used from now on and is supported by ALC.

where we have defined, with simplified notation, the surface transfer function of interest C 0(s).

In an envisioned Dynamic Markup Language (maybe called DYML) the dynamics of Model 2 could be formalised as follows (simplified notation): Note that only the parameters k4 and k6 are allowed to vary.

Given that the RB allocation is fixed with given pairs (k,n), the above problem can be rewritten with further simplified notations as maximize p k, n l ∏ l = 0 L ∏ n = 0 C l γ n, l w l subject to p k, n l ≤ P max l, ∀ n, l ; p k, n l ≥ 0, ∀ n, l (10).

The notation (D^S bar{x},bar{u})) is simplified to (D^S bar{x})) when S is single-valued at x̄, (S bar{x})={bar{u}}). Similarly, and with the same provision for simplified notation, the regular coderivative (widehat{D}^S bar{x},bar{u}):Re ^{m}rightrightarrows Re^{n}) is defined by widehat{D}^S bar{x},bar{u}) (y) = bigl{ v: (v,-y in widehat{N}_{operatorname{gph}S}( bar{x},bar{u}) bigr}.

In simplified notation, as a basic algorithm to determine the mean sarcomere length of a cardiomyocyte, we propose to use least squares difference between the image and its shifted copy.

For the constant of elementary reaction A i → we use the simplified notation k i because the product of this elementary reaction is known, it is A i +1 for i < n and A1 for i = n.

In the remainder of the paper, the simplified notation u will be used to describe a unit (u_{o, t}).

Since 1801 shape notes have been associated with American sacred music, specifically with singing schools, with musical conventions, and with all-day gatherings known as "singings". Denounced by critics as uncouth, the simplified notation has persisted in the rural South, where it continues to form the basis of strong traditions of church and community singing.

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