Sentence examples for by the set consisting from inspiring English sources

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Given an integer number and a sequence, we denote by the set consisting of all functions with the property that for each the function is convex of order.

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Throughout this article, the Lebesgue σ-field of (mathbb{R}) is denoted by (mathcal{C}) and the set consisting of whole positive measures μ on (mathcal{C}) such that (mu(mathbb{R})=+infty) and (mu [c,d])<+infty) for any (c,dinmathbb{R}) ((c< d)) is denoted by (mathfrak{W}).

The Cartesian product of two sets A and B, denoted by A × B, is defined as the set consisting of all ordered pairs (a, b) for which a ∊ A and b ∊ B.

All respondents were also asked to complete a second set of questionnaires after 2 weeks and to return it by mail; the set consisted of one page of the Thai 3L and 5L response scale and the EQ-VAS.

Then by Lemma 2.5, the set consists of equicontinuous functions, thus the conclusion follows from Ascoli-Arzelà's theorem.

This is rationalized by the anticipation that the prediction set, consisting of DS2-mature, would lay between clusters 2 and 3 as cluster 1 featured green dates from the early phase of ripening that was not represented in the prediction set.

We test the feasibility of the parameter optimization procedure by applying it to the training set consisting of three proteins: the 10 55 residue fragment of staphylococcal protein A (PDB ID 1bdd), a designed protein betanova, and 1fsd.

On the Affymetrix platform, genotype calls and copy numbers are determined by a probe set consisting of mismatch and perfect match probes.

The solid surface charge density was determined at 25 °C by the use of a set consisting of thermostated Teflon vessel, glass and calomel electrodes (Beckman Instruments), pH-meter PHM 240 (Radiometer), laboratory stirrer, thermostat RE 204 (Lauda), automatic microburette Dosimat 765 (Metrohm), and a computer with the special software "titr_v3" authored by Prof. W. Janusz.

Dragoi and Dinu [9] and Lee et al. [20] improved the least square predictor by modifying traditional training set consisting of only previous pixels of the target pixel.

The QSPR model available was tested by an external test set consisting of 8 compounds.

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