Sentence examples for denotes simply from inspiring English sources

As the Oxford Companion to Food points out, technically the word denotes simply a split pulse, but in India it has come to encompass all dried peas and beans, as well as dishes in which they are the principal ingredient – "of which," the authors explain, somewhat dauntingly, "there are least 60 kinds".

This paper gives a primal-dual derivation of the Least Squares Support Vector Machine (LS-SVM) using Instrumental Variables (IVs), denoted simply as the Primal-dual Instrumental Variable Estimator.

The proposed program has an additional boundary condition: to achieve the maximum flux recovery without scaling due to the precipitation of sparingly soluble mineral salts (e.g., silica (SiO2), calcium carbonate (CaCO3), calcium sulphate dihydrate (denoted simply as CaSO4), barium sulphate (BaSO4), strontium sulphate (SrSO4) and calcium fluoride (CaF2)).

Moreover, we denote simply BMO when p = 1.

Moreover, we denote simply by (operatorname{Lip}_{beta_{0}} omega)) when (p=1).

If there are no special instructions, any space (mathcal{X}({{mathbb {R}}^{n}})) is denoted simply by (mathcal{X}) and any space (mathcal{X}({{mathbb {R}}^{n}}; A)) is denoted simply by (mathcal{X}(A)).

If there are no special instructions, any space (mathcal{X}({{mathbb {R}}^{n}})) is denoted simply by (mathcal{X}).

In particular, when τ = 1 2 ln q − 1, E τ, q ( C ) is denoted simply by E q ( C ).

We will denote simply by (lambda(x)) and (mu(x)) the functions (trightarrowlambda_{t}(x)) and (trightarrow mu_{t}(x)), respectively.

It is noted that, for convenience, Φ ( e 2 π i x, a, s ) in (1.2) is denoted simply by Φ ( x, a, s ) throughout this paper.

The square root of the mean CRLB (normalized with respect to d s ), which is denoted simply as CRLB in the following, is plotted for comparison ("crlb").