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Let ρ(W) denote the spectral radius of a matrix W. Since A 1 is a principal submatrix of the (componentwise) nonnegative matrix A, ρ(A 1) ≤ ρ(A) (see [56, Ch. 8]). Assume for the moment that ρ(A 1) = ρ(A). Then using the fact that QQ = I, that...
This trans-Neptunian object has an estimated radius4 of 555 km and possesses a roughly 80-km satellite5 (Weywot) that orbits at 24 Quaoar radii6,7. The detected ring orbits at 7.4 radii from the central body, which is well outside Quaoar’s classical Roche limit, thus indicating ...
The high-cadence full-Sun view of SDO’s AIA revealed connections between activity in distant regions: filament eruptions or flux emergence in one location can deform the magnetic configuration sometimes more than a solar radius away. Combined with the full-Sun field models and STEREO EUVI observa...
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phpredis uses a small custom unit test suite for testing functionality of the various classes. To run tests, simply do the following: # Run tests for Redis class (note this is the default) php tests/TestRedis.php --class Redis # Run tests for RedisArray class tests/mkring.sh start php...
For the first plastic deformation behavior, the ring may not be nipped into roll gap so stop rotating if a big feed rate of the mandrel is given. For the third plastic deformation behavior, the ring will stop expanding due to the “rigid hoop” near the middle radius of the ring which ...
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