Quantitatively accurate laws of metabolism and mortality, which are the same for species with different evolutionary history (e.g., humans and flies), are derived and extensively verified. Such conservation (with respect to evolution, i.e., in non-stationary and heterogeneous conditions) laws...

In this paper we propose a “scaling-based” empirical approach to assess the scientific performance of heterogeneous academic disciplines. It relies on the idea that if we take into account for their two main sources of heterogeneity, the bibliometric distributions of different academic...

We postulate that the first order derivative (delta) of the stock option is a logistic function, which is widely used for modelling growth phenomena with bounded conditions in natural and social sciences. The integration of the logistic function yields the universal description (formula) of the...

Via examining the option prices of seven actively traded stocks (IWM, MDY, QQQQ, SPY, GOOG, MSFT, QCOM, etc.) with a phenomenological approach, we report two important discoveries in this paper. We introduce the dimensionless parameters to express the relationships among them. The first one is...