In the present article we observe the significations and the dimensions of interaction between instruments and performers in musical performance. This will lead us, firstly, to consider interaction as a phenomenon non-exclusively correlated with the use of numeric technologies. Then, still within the realm of interaction, we describe some of the transmutations introduced by digital music instru...

Non-linear dose response relationships pose statistical challenges for their discovery. Even when an initial linear approximation is followed by other approaches, the results may be misleading and, possibly, preclude altogether the discovery of the nonlinear relationship under investigation. We review a variety of straightforward statistical approaches for detecting nonlinear relationships and ...

Children's ability to place fractions on a number line strongly correlates with math achievement. But does the number line play a causal role in fraction learning or does it simply index more advanced fraction knowledge? The number line may be a particularly effective representation for fraction learning because its properties align with the desired mental representation and take advantage of p...

Higher-dimensional hypercomplex fractal sets are getting more and attention because of the discovery interesting properties visual aesthetics. In this study, was focused on generalized biquaternionic Julia a generalization classical sets, defined by power monic higher-order polynomials. Despite complex quaternionic their analogues still not well investigated. The performed morphological analysi...

the zarankiewicz number z(b; s) is the maximum size of a subgraph of kb,b which does not contain ks,s as a subgraph. the two-color bipartite ramsey number b(s, t) is the smallest integer b such that any coloring of the edges of kb,b with two colors contains a ks,s in the rst color or a kt,t in the second color.in this work, we design and exploit a computational method for bounding and computin...

data obtained in association with many real-life random experiments from different fields cannot be perfectly/exactly quantified.hspace{.1cm}often the underlying imprecision can be suitably described in terms of fuzzy numbers/values. for these random experiments, the scale of fuzzy numbers/values enables to capture more variability and subjectivity than that of categorical data, and more accura...