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where V ~ = 4 3 Π a 3 is the volume of a nanoparticle, r2j is the location of the centre of the j-th nanoparticle in the second aggregate, M2j is the magnetization vector of the j-th nanoparticle in the second aggregate, M1A and M2A are the averaged magnetization vectors (Equation 12) of the first and the second aggregate respectively, and V 2 = n 2 3 a is the volume of the second aggregate.
The magnetic forces between two aggregates were computed either by summation of the magnetic force between every nanoparticle in the first aggregate and every nanoparticle in the second aggregate (when the ratio LD/R0 expresses distance between the aggregates was lower than 15 [20]), or by the averaging of the first and second aggregates.
In our calculations, this substructure remains until X = 1, and for this reason, in Fig. 4, we show a comparison of the extinction factors of four different shapes with X = 1: (1) the sphere, (2) the spheroid of axis ratio 5, (3) the so-called DW1996 shape, and (4) the second aggregate in Fig. 3 from left to right.
As a consequence, the forces are computed numerically, either as a sum of the magnetic forces between every nanoparticle in one aggregate with every nanoparticle in the second aggregate F = ∑ j = 1 n 2 V ~ ( M 2j · grad ) grad ϕ ~ ( r 2j ), (10).
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"It's the first aggregate index to clearly break through the mild recession of 2001, and it looks like the reading will break through the recession before that when the October data comes in," said Robert Barbera, the chief economist of ITG.
The first aggregate, the physical (rūpa), includes the five sensory organs and their five objects.
For example, for a five-item scale, we created the first aggregate item by averaging the items with the highest and the lowest loadings, the second by averaging the items with the second-highest and the second-lowest loadings, and the third by retaining the items with the middle loadings.
The first aggregates are formed by the movement of the upper layers of the films, which are about 50 atoms thick, the further growth of the crystals being accompanied by the formation of areas from which the metal has retreated, leaving a thinner film.
In the following days the appearance of the first aggregates of calcium mineralization was observed.
However, in the third urine specimen (3 months after the first), aggregates of atypical cells were present, suggesting high-grade urothelial carcinoma.
The former was the second best aggregate of his career, the latter his highest total of wickets.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com