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The description of the problem of the order of the gas-phase length scale is obtained using the boundary layer expansion.
In Section 2, we study the existence of admissible meromorphic solutions of systems of complex difference equation (1.2), the problem of the order of entire solutions of systems of complex difference equation (1.3), and the form of transcendental meromorphic solutions of systems of complex difference equation (1.4), and obtain three theorems.
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Once again, and for the umpteenth time: the United States faces a serious debt problem on the order of trillions of dollars over a 20- to 30-year time frame.
This is important to MRI because the dimensionality of the problem is of the order of the number of voxels acquired, typically 10 or more, and possibly much higher for dynamic or multiparametric data sets.
Quadratic Assignment Problems (QAPs) are the hardest of combinatorial optimization problems, with some problems of sizes of the order of 30 still remaining unsolved optimally.
The letter, posted to the school's website, is the first acknowledgment of the broad scope of the problem by the Order of St. Benedict of New Jersey at its all-boys Catholic prep school, according to NJ Advance Media. .
When their dire predictions were fully materialized, and instead of peace and quiet in an area without any settlements ["the cause of the problem"], the order of the day became a rain of rockets fired at Israeli population centers, all that Netanyahu had to say was "we told you so," and with it he came to power after the 2009 elections.
The complexity of the problem is examined in terms of the order of the polynomial expressions in the characteristic equation.
The problem of determining the order p of the AR part, or equivalently the number of modes in a frequency band, is also examined using a combination of the multivariate minimum description length (MDL) criterion and an overdetermined instrumental variable sequence.
There are totally (K+1)(T+1) continuous variables in problem P2, where T is typically of the order of 104 to 105.
The proposed method has been validated for a mathematical test problem; convergence is shown and the influence of the order of approximation of the Lagrangian multiplier is studied.
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