For example, the recursive method is a good way to calculate time complexity for recurrent solutions, which uses recursive trees or substitutions. Another popular method to calculate time complexity is the maste
Master's method or Master's theorem is applied on decreasing or dividing recurrence relations to find the time complexity. It uses a set of formulae to deduce the time complexity of an algorithm. To learn more about Master's theorem, pleaseclick here ...
J.C. Birget, "Time-complexity of the word problem for semigroups and the Higman Em- bedding Theorem", International J. of Algebra and Computation 8 (1998) 235-294.J. C. Birget. Time-complexity of the word problem for semigroups and the Higman embedding theorem. Internat. J. ...
Permutation compression-complexity causalityis the causal inference technique proposed and implemented in this work. Given a pair of time series\(x_1\)and\(x_2\)from dynamical systems in which causation is to be checked from\(x_1\)to\(x_2\), we first embed the time series of the poten...
Master equations are one of the main avenues to study open quantum systems. When the master equation is of the Lindblad–Gorini–Kossakowski–Sudarshan form, its solution can be “unraveled in quantum trajectories” i.e., represented as an average over t
Still, the explicit control law often leads to a complex description consisting of many affine feedbacks, which also cannot realize the high sampling rates typically needed for motion systems of considerable size, although recent research is focused on decreasing the implementation complexity of MPC; ...
This guarantees high efficiency, but at the expense of greater complexity. An advantage of a synchronous TDM PCM system is that it is completely feasible to intermix analog and digital sources. For example, consider the time-division multiplexing of two 2-kHz analog sources, a 4-kHz analog ...
We note that the optimal value of the embedding dimension E depends on several factors, including system complexity, time series length, and noise. In the case of model systems, the number of inter- acting variables is known exactly and was used to select E. In the remaining cases, the ...
Theorem 1. Taking the master and slave chaotic systems (1) and (2) into consideration, for the uncertainties Di(i = 1,2, …, n), the TVGDO (22) is constructed. (22) where ηi1 and ηi2 are the positive constants, and ki(t) is a nonnegative time-varying gain. Assumption 1...
“naive”: all n-m+1 alignment candidates are (optionally) normalized and compared individually with a minimal memory footprint but O(n*m) asymptotic computational complexity. This mode is still reasonably fast using warp-aggregated statistics and accumulation schemes. ...