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The results agree with the previous theory, stating that the Q of a linearly polarised antenna can not be smaller than (ka -3+ka-1, ka -3+ka-1e wave number and a the radius of the smallest circumscribed sphere.
Yeltsin was comfortable being a junior partner of the United States, as long as Washington allowed him latitude in his new circumscribed sphere of influence, permitted Russia to hold onto its nukes and export cheap jets and tanks, and ushered the country into the G7 and the WTO.
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"Mubarak has no single confidant or adviser who can truly speak for him," Scobey said, "and he has prevented any of his main advisers from operating outside their strictly circumscribed spheres of power.
While he knows that Bashir in Sudan has made multiple major mistakes, he cannot work to support his removal from power. 5. (S/NF) Mubarak has no single confidante or advisor who can truly speak for him, and he has prevented any of his main advisors from operating outside their strictly circumscribed spheres of power.
When the impact velocity was increased, the size of the circumscribing sphere of the coalesced agglomerate decreased and reached a minimum value at a critical velocity above which an increase in the circumscribing sphere size occurred due to extensive flattening.
This is defined as the ratio of particle volume over total volume of the circumscribing sphere and, for agglomerated debris particles, it is equal to 0.236.
An increase in the fluid viscosity also resulted in an increase in the critical impact velocity at which the size of the circumscribing sphere of the coalesced agglomerate was a minimum.
Note that the geometric cross section of agglomerated debris particles is equal to 0.61 of the projected area corresponding to the circumscribing sphere.
Note that, if necessary, the size parameter x referring to the circumscribing sphere can be easily transformed to the size parameter of equal-volume sphere xeq through the packing density ρ as follows: xeq = ρ1/3x.
Sample images of the shapes generated with such algorithm are shown in Fig. 2. The size of the irregular particles can be characterized by the size of the circumscribing sphere.
The answer, he believed, lay in the five Platonic solids whose faces can be composed of regular polygons – triangles, squares, etc – and which could be circumscribed by spheres whose size would increase as the number of faces increased.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com