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The behaviour of a complex thermodynamic system, such as Earth's atmosphere, can be understood by first applying the principles of states and properties to its component parts—in this case, water, water vapour, and the various gases making up the atmosphere.
By first applying the standard dimension reduction technique proper orthogonal decomposition (POD), a low-dimensional subspace is defined.
We can obtain the wave functions of DSN by first applying the squeezing operator in those of the number state and then applying the unitary displacement operator.
Thus, this regularized inversion can be done in two steps, by first applying the transposed SV filtering associated to H T, and then applying to the previous output the inverted matrix.
In this paper, this situation is investigated by first applying the averaging method to obtain a new set of aeroelastic equations in which the limit cycle is replaced by an unstable equilibrium point.
For we could then still arrive in a motivated way at our prior probabilities, by proceeding in two steps, namely, by first applying the Principle of Indifference to the partitions separately, thereby possibly obtaining different assignments of priors, and by then taking a weighted average of the thus obtained priors, where the weights, too, are to depend on explanatory considerations.
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The HEA method is validated by first applying it to the FE model of a single yarn for which an analytical solution is known.
But if people read the law carefully, they would see that a judge still has to approve the search by issuing a warrant first, applying the same constitutional standards.
We examined if L655, 708 and zolpidem affected the same population of channels by first applying one and then the two drugs together and examined the shift in the holding current (Fig. 2C).
Based on the principle of silver enhancement, we conduct IgG detection by first applying rabbit IgG onto the active area of the anti-rabbit IgG biochip allowing incubation for 30 min. Goat anti-rabbit IgG and gold conjugates were then applied and were incubated for 30 min. Excess gold conjugates were washed with PBS solution.
The EPFL video database includes a total of 78 distorted videos generated from 12 original video sequences with two spatial resolutions (CIF and 4CIF); the distorted videos have been obtained by first applying H.264 compression to the original videos and then corrupting the bistreams according to six different packet loss rates.
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by first taking the
by first presenting the
by first identifying the
by first reducing the
by first denying the
by first decomposing the
by first obtaining the
by first placing the
by first removing the
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by first describing the
by first locating the
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by first seeking the
by first generating the
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com