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This outputs demonstrate how the 1st Law is only a necessary calculation while the utilisation of the 1st and 2nd Laws becomes a sufficient condition for the analysis and design of low carbon buildings.

The vulnerability of historical buildings has been evaluated through a decay index calculation, while the risk level has been defined considering the presence of man-made caves and evaluating their relationships with historical buildings, as well as their possible collapse and evolution in time as a function of the natural geomorphological processes.

The objective method selects weights of criteria through mathematical calculation, while the subjective method uses judgments of decision makers.

The revised and correct structure was again recognized as the most probable using neural net based 13C chemical shift calculation, while the original structure bwas ranked only in fourth position.

In addition, the quadratic relation in the out-of-plane phonon mode changes to linear after 5%% strain in the DFT calculation, while the linear bond stretching occurs after 4%% strain in our MD simulations as shown in Fig. 5c.

However, under the new bill, only the diversified banking giants will need to include these deposits in their supplementary leverage ratio calculation, while the custody banks will be able to exclude them – resulting in a boost to the figures for the custody banks.

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For the SHAKE algorithm [ 64], only the diagonal elements of the A matrix are considered to reduce the complexity of the calculation, while for the MSHAKE algorithm [ 65] the whole matrix is solved with the LU decomposition.

The design of numerical algorithms, as well as the choice of precisions and step sizes that maximize the speed of the calculation while keeping the errors within reasonable bounds, is almost an art form developed by extensive experience and ingenuity.

Numerical examples with two representative examples of ionic systems demonstrate the numerical properties of the method and its potential to reduce the computational cost of a full cDFT calculation, while retaining the accuracy of the latter near the charged surfaces.

We used the maximum possible different grid positions for every image in order to ensure the accuracy of the calculation, while we calculated the box counting dimension for both cross-sectional and top view SEM images of different magnifications.

For the same section of diameter 50 cm reinforced with T25 bars; the calculation, while varying the concrete characteristic of 25 and 50 MPa, has been performed.

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