Some Examples of Weak Uninorms

Ja n 20 01 Examples illustrating some aspects of the weak Deligne - Simpson problem ∗

To the memory of my mother Abstract We consider the variety of (p + 1)-tuples of matrices A j (resp. M j) from given conju-gacy classes c j ⊂ gl(n, C) (resp. C j ⊂ GL(n, C)) such that A 1 +. .. + A p+1 = 0 (resp. M 1. .. M p+1 = I). This variety is connected with the weak Deligne-Simpson problem: give necessary and sufficient conditions on the choice of the conjugacy classes c j ⊂ gl(n, C) (res...

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...