On the analysis of data emerging in non-linear and complex systemscomparison of two X-Ray prony spectra

New arguments proving that successive (repeated) measurements have a memory and actually remember each other are presented. The recognition of this peculiarity can change essentially the existing paradigm associated with conventional observation in behavior of different complex systems and lead towards the application of an intermediate model (IM). This IM can provide a very accurate fit of the measured data in terms of the Prony's decomposition. This decomposition, in turn, contains a small set of the fitting parameters relatively to the number of initial data points and allows comparing the measured data in cases where the “best fit” model based on some specific physical principles is absent. As an example, we consider two X-ray diffractometers (defined in paper as A- (“cheap”) and B- (“expensive”) that are used after their proper calibration for the measuring of the same substance (corundum a-Al2O3). The amplitude-frequency response (AFR) obtained in the frame of the Prony's decomposition can be used for comparison of the spectra recorded from (A) and (B) - X-ray diffractometers (XRDs) for calibration and other practical purposes. We prove also that the Fourier decomposition can be adapted to “ideal” experiment without memory while the Prony's decomposition corresponds to real measurement and can be fitted in the frame of the IM in this case. New statistical parameters describing the properties of experimental equipment (irrespective to their internal “filling”) are found. The suggested approach is rather general and can be used for calibration and comparison of different complex dynamical systems in practical purposes.

Which “place and non-place” do women occupy in social economy organisations?

Scientific literature has strengthened the perpetuation of inequality factors in the labour market based on gender, despite the on-going endeavour of various political bodies and legal norms against the vertical and horizontal segregation of women. National and European statistical data shows the relevance and timeless features of theories of market segmentation associated with the labour market dating back to the 70’s of the 20th century. Hence, the European Community considers as a priority in the Europe 2020 strategy, the definition of “policies to promote gender equality […] to increase labour force participation thus adding to growth and social cohesion”. If we consider that on the one hand, social economy is fairly recognised to be equated with market actors and the State for its economic and social role in tackling the current crisis, and on the other hand, that the ideals of the sector, systematised in the “Framework Law of Social Economy” (Law no. 30/2013 8th of May), particularly in article 5 proposing “the respect for the values […] of equality and non-discrimination […], justice and equity […]”, we aim to reflect on indicators that uncover a vertical and horizontal segregation in the labour market. Departing from a mixed methodological approach (extensive and intensive), subject to the topic of "Social Entrepreneurship in Portugal" in social economy organisations, we detect very high rates of employment feminisation, with a ratio of 1 man (23%) for every 3 women (77%). Women are mainly earmarked for technical and operational activities, arising from the privileged intervention areas, namely education, training, health, elderly, families, poverty, ultimately being underrepresented in statutory boards and, as such, far removed from deliberations and strategic resolutions. This is particularly visible in the existing hierarchy of functions and management practices of the responsibility of male members. Thus, it seems easily verified that the sector is travelling away from the ideals of justice and social equity, which can crystallise the "non-place" of women in the definition of a strategic direction of social economy and in the most invisible/private “place” of the organisational setting.