1,361 results for complexity

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arxiv.org/abs/1404.2816v1

Reset Complexity of Ideal Languages

We present a new characteristic of a regular ideal language called reset complexity. We find some bounds on the reset complexity in terms of the state complexity of a given language. We also compare the reset complexity and the state complexity for l...

arxiv.org/abs/1909.13243v2

Measuring complexity

Complexity is a multi-faceted phenomenon, involving a variety of features including disorder, nonlinearity, and self-organisation. We use a recently developed rigorous framework for complexity to understand measures of complexity. We illustrate, by e...

arxiv.org/abs/2410.10844v2

Links between Entropy, Complexity, and the Technological Singularity

Entropy always increases monotonically in a closed system but complexity increases at first and then decreases as equilibrium is approached. Commonsense information-related definitions for entropy and complexity demonstrate that complexity behaves li...

arxiv.org/abs/2111.12666v3

The Complexity of Shake Slice Knots

We define a notion of complexity for shake-slice knots which is analogous to the definition of complexity for h-cobordisms studied by Morgan-Szabó. We prove that for each framing $n \ne 0$ and complexity $c \ge 0$, there is an $n$-shake-slice knot w...

en.wikipedia.org/wiki/Asymptotic_computational_complexity

Asymptotic computational complexity - Wikipedia

In computational complexity theory, asymptotic computational complexity is the use of asymptotic analysis for the estimation of the computational complexity