Introduction: In this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. Epilepsy is considered as a dynamical change in nonlinear and complex brain system. The ability of the proposed measure for characterizing the normal and epileptic EEG signals when the signal is short or is...

Khrapchenko’s classical lower bound n2 on the formula size of the parity function f can be interpreted as designing a suitable measure of sub-rectangles of the combinatorial rectangle f−1(0) × f−1(1). Trying to generalize this approach we arrived at the concept of convex measures. We prove the negative result that convex measures are bounded by O(n2) and show that several measures considered fo...

We study some measures which are related to the notion of the -complexity. We prove that measure of -complexity defined on the base of the notion of -separability is equivalent to the dual measure that is defined through -nets.

We study some measures which are related to the notion of the ǫ-complexity. We prove that measure of ǫ-complexity defined on the base of the notion of ǫ-separability is equivalent to the dual measure that is defined through ǫ-nets.

Most of the considerable work that has been done in the measurement of software complexity during thepast several years has addressed complexity measurement of source code or design languages. Here we describe techniques to measure the complexity of large (>lo0 000 source lines of code) systems during the software architecture phase, before major design decisions have been made. The techniques ...

A bstract . Various observables meas urin g the complexi ty of an ensemble of pattern s are discussed , in par ticul ar statistical quantit ies rela ted to the convergence of block entropies, an d comp utation t heoret ical quanti ties related to a gram matical description of t he ensem ble. T hese measures of com plexity are applied to one-dime nsio nal cellular automata, by char acterizing th...

Recently tasks, as the basic units of syllabi, and the cognitive complexity, as the criterion for sequencing them, have caught many second language researchers’ attention. This study sought to explore the effect of utilizing the cognitively simple and complex tasks on high- and low-proficient EFL Iranian writers’ linguistic performance, i.e., fluency, accuracy, lexical complexity, and structura...