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The peaks are generally more asymmetric for both the image resulting from a relaxed crystal and from a thermal average of crystals, and these small irregularities in the symmetry of adjacent intensity peaks can cause large measurement errors, as illustrated in Fig. 4. All results in the following sections will be based on simulations where temperature effects are included.

The width of the sections will be based on the size of the roller you're using: they should not be wider than your roller, and shouldn't be thicker than two inches or so.

The width of the sections will be based on the size of the roller you're using: they should not be wider than your roller, and shouldn't be thicker than two inches or so.. Comb through each section before rolling.

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Results in this section will be based on the following general form of Hardy-Hilbert's inequality proven in [4].

Segmentation of the nuclear region with the level set method introduced in the next section will be based on the enhanced probability maps with different patch sizes l and the corresponding TRIOD feature dimension K. Fig. 7 The quantitative evaluation for the transformed probability maps with different dimensions K of the TRIODs.

The work in this section will be based on the following formalization of ranks in taxonomies.

This section will be based on LogMeIN Hamachi.

Also existence in Section 2 will be based on some Lefschetz type fixed point theory.

Also existence in Section 2 will be based on the following result of Petryshyn [8, Theorem  3].

Following the Eurocode 3 philosophy, it is expected that the design of elliptical hollow section (EHS) tubes will be based on the slenderness concept, which requires the calculation of the EHS critical stress.

The proof of the main results of Sections 3 and 4 will be based on the following assumption.

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