Using some qualitative reduction methods of dynamical system theory, the four-dimensional differential equation of motion is reduced to a two-dimensional one, and then the possible motions of the pipe are predicted through analyzing bifurcations of the solution to the reduced equation of motion.
Reduced cost is often used to analyze the obtained optimal solution and evaluate alternate solutions from the original solution [ 77].
He doesn't understand the problem he claims to be analyzing, and the "solution" he offers, "bourgeois paternalism," isn't a solution at all.
For the DNA quantification, analyze the above solution (50 μl) with a NanoDrop ND-1000.
In practice, we run a fixed number of iterations, and keep track of m through the iterations in order to analyze the distribution of good solutions.
We are analyzing the data to identify consistent themes and concrete solutions.
But analyzing the risks of speeding through statistics is inconclusive.
Moreover, we verified the feasibility and compared with the existing solutions of the proposed approach through analyzing security of Authentication, Integrity, Confidentiality, and Known Attacks.
In the next sections, through the introduction of the concept of resolvent operator for the homogeneous equation, we analyze the existence of solution of problem (1.1 - 1.2 1.1 - 1.2
Also, Kumar et al. [45] analyzed the existence of solutions for FDE with NII in Banach spaces through the utilization of the appropriate FPT.
Then, 1 mL of sample solutions was taken out and filtered through the 0.45 μm membrane filter to analyze the current TC concentration.
