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To investigate patterns in mat species composition we used Detrended Correspondance Analysis (DCA) because our compositional data collected across a directional gradient matched the assumptions of DCA.
To evaluate the influence of these fractions on the species composition, we used partial Redundancy Analysis.
To assess ecosystem composition we used ArcGIS 10.0 to measure the percent area and the total area of each land cover type.
So, for investigating deeply the elemental composition we used two nuclear techniques, Neutron Activation Analysis and Photon Activation Analysis, characterized by high sensitivity, precision and accuracy.
In order to access their chemical composition, we used a combination of solid phase extraction (SPE) followed by ultra-high performance liquid chromatography coupled to electrospray ionization ion trap tandem mass spectrometry (UPLC-ESI-IT-MSn).
The AE composition we used was proposed by Shah et al. [19] and has become the standard bathing solution for studies on mechanical properties of the TM.
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Finally, and in order to reach a near-optimal composition, we use the desirability functions to optimize the four responses simultaneously.
To show the classes are closed under countable composition, we use the following lemma.
In order to account for the changes in the age composition, we use two different measures: the change in the mean age of each occupation and the change in the share of workers in each occupation (i) less than 30 years old, (ii) between 31 and 45 years old, and (iii) more than 45 years old.
To analyze whether promoter regions of differentially methylated genes showed different CpG compositions, we used a recently described classification into promoters with high (HCP), intermediate (ICP) and low (LCP) CpG content [28].
To identify optimal substrate compositions, we used the oxygen and total substrate uptake rate as criteria.
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