By using a generating function approach it is shown that certain functionals of digitial expansion (related to speciic nite linear recurrences), e.g. the number of speciic digital patterns, satisfy a central limit theorem. We provide asymptotic expansions for mean value and variance and prove a global and a local limit law.

We give a model of the K-ring of the flag verieties in terms of a certain braided Hopf algebra called the Nichols-Woronowicz algebra. Our model is based on the construction of the path operators by C. Lenart and A. Postnikov.

Multistratum experiments contain several different sizes of experimental units. Examples include split-plot, strip-plot designs, and randomized block designs. We propose a strategy for constructing a D-optimal multistratum design by improving a randomly generated design through a sequence of whole-plot exchanges. This approach preserves the design structure and simplifies updates to the informa...

By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters. The three instabilities are saddle-node bifurcation (coexistence of multiple solutions), period-doubling bifurcation (subharmonic oscillation), and Neimark bifurcation (quasi-periodic oscillation). In a single plot, it accurately predicts w...