entropy changeIn order to find out the limiting speed of solving a specific problem using computer, this essay provides a method based on the entropy of information. The relationship between the minimum time complexity and the information entropy change is illustrated. Several examples are served as...
2.1.3.1 Time complexity One concern is that coding and decoding may incur significant delays. The experiment in [4] uses desktop computers (with Celeron 800 MHz CPU) as nodes and can sustain a throughput of 44 Mb/s. Though it has been shown that the combination of OR and network coding ...
Many different formulas of varying complexity are used today to measure lifetime value. The simplest formula for measuring customer lifetime value is: CLV = Avg Total Order Amount * Avg # Purchases Per Year * Retention Rate In other words, customer lifetime value is the average order total ...
ProblemComplexity and solution methodReference O2|UET,τj=σj|Cmax Strongly NP-hard Yu et al. (2004) O2|p1j=p2j,τj=σj|Cmax Strongly NP-hard Dell’Amico and Vaessens (1996) O2|τj=σj|Cmax 32-approximation algorithm Strusevich (1999) O2|UET,τj=σj|Cmax 32−12n and 54-approx...
Under circumstances that the data is not processed, this similarity measure with high time complexity may be hardly used in online real-time monitoring scenarios. 6.2. Challenge 2: The Time Bending Phenomenon in the Time Series Creates Obstacles to Similarity Matching The value space of each ...
In some of these cases, the fundamental rules of behavior are well understood, but it can still be difficult to account for everything that can happen due to the complexity of the equations (meteorology, quantum chemistry, plasma physics). In other cases, not all of the predictive variables ...
[1,4]. An efficient integrator that preserves symmetry and anti-symmetry and uses them to reduce the computational complexity, is needed in these and other applications, such as using a step of the integrator as a computationally efficient retraction in optimization algorithms for (anti-)symmetric...
Other examples include turbulence analysis87,111, stream flows89, flame front dynamics57 and laser beam wandering112. Still, one has to note that the line dividing this multi-scale approach from the standard complexity–entropy plane is fuzzy, as many works using the latter include some analysis...
Firstly, the design of small peptides that mimic proteins in complexity, but are sufficiently small to allow detailed simulation studies [1–4]. Secondly, the development of fast (nanosecond) time-resolved spectroscopy methods to study peptide folding dynamics on the same timescale as computer...
In other words, there is a topologically more complex networked structure in these systems and the complexity of the structure promotes the growth of correlation throughout the systems. It is clear that not only atomic and social systems display network-like structures. Complex networks are also ...