MEL'NIKOV'S APPROXIMATION DOMINANCE: SOME EXAMPLES

Stably ergodic approximation: two examples

It has been conjectured that the stably ergodic diieomorphisms are open and dense in the space of volume-preserving, partially hyperbolic diieomorphisms of a compact manifold. In this paper we deal with two recalcitrant examples; the standard map cross Anosov and the ergodic automorphisms of the four torus. In both cases we show that they may be approximated by stably ergodic diieomorphisms whi...

Representations : Some Examples

Some Effective Oop Examples

This paper will present two examples that we feel can convince students of the benefits of object-oriented design and spur their interest. Both examples are well-known and fun to program. We first describe a sorting animation. In this project we will ask students to implement animation of various sorting algorithms, and for each sorting algorithm the user can choose one of two methods of animat...

nCal - Some Examples

The function ncal carries out nonlinear calibration, which entails fitting concentration-response curves to sets of samples of known concentrations, also known as standard samples, and using the fitted curves to obtain point estimates and confidence intervals for the analyte concentrations in the samples of interest, also known as the unknown samples. Take Luminex (Defawe et al., 2012) as an ex...

Some examples on duality

An immediate corollary is that it is always possible to pick a Z-lattice inside QS so that the corresponding p-modular reduction is isomorphic to the dual of the conventional p-modular reduction (coming from the standard basis and written FpS λ). Thus our theorem gives a rich source of examples of non-isomorphic p-modular reductions. It would be interesting to know how far it is possible, by pi...