In this article, we introduce a new way of modelling and analyzing hybrid systems. Our model insists on a clear separation between the discrete and continuous worlds, making it possible to use with little effort existing programs. The analysis, based on abstract interpretation, can prove safety properties concerning the use of floating point numbers instead of real numbers in hybrid systems. Fo...

PURPOSE The purpose was to determine the number of semantic neighbors, namely, semantic set size, for 88 nonobjects (J. F. Kroll & M. C. Potter, 1984) and determine how semantic set size related to other measures and age. METHOD Data were collected from 82 adults and 92 preschool children in a discrete association task. The nonobjects were presented via computer, and participants reported the...

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...

High-order methods have demonstrated their potential in large eddy simulations (LES) of turbulent flows with relatively low Reynolds numbers. The cost becomes a serious limiting factor for high Reynolds number problems. A promising approach to reduce the cost of these simulations is the hybrid Reynolds-Averaged Navier-Stokes (RANS)/LES approach. In this paper, a new hybrid RANS-Implicit LES (IL...

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...

In this paper we proposed a three stage pipelined finite-impulse response (FIR) filter, this FIR filter contains multipliers such as Hybrid multiplier, Booth multiplier algorithm and Array multiplier. In general, multiplication process consists of two parts as multiplicand and multiplier. According to the array multiplier, the numbers of partial products (PP) are equal to the number of bits in ...

This work is based on the field of reference frames based on quantum representations of real and complex numbers described in other work. Here frame domains are expanded to include space and time lattices. Strings of qukits are described as hybrid systems as they are both mathematical and physical systems. As mathematical systems they represent numbers. As physical systems in each frame the str...