Quotients de suites holonomes

Facteurs Des Suites De Rudin-shapiro Généralisées

Integrating” paperfolding sequences yields generalized Rudin-Shapiro sequences. We study the factors (subwords) of these sequences, giving an (optimal) property of “half-synchronization” and a uniform linear bound for the recurrence function. We also study the powers occurring in these sequences, and we show that the language consisting of all their factors is not contextfree.

Quotients of anti - de Sitter space

We study the quotients of n + 1-dimensional anti-de Sitter space by oneparameter subgroups of its isometry group SO(2, n) for general n. We classify the different quotients up to conjugation by O(2, n). We find that the majority of the classes exist for all n ≥ 2. There are two special classes which appear in higher dimensions: one for n ≥ 3 and one for n ≥ 4. The description of the quotient in...

Mémoire Sur Les Suites

The theory of series is one of the most important objects of Analysis: all problems which reduce to some approximations, and consequently nearly all the applications of Mathematics to Nature, depend on this theory; thus we see that it has principally fixed the attention of the geometers; they have found a great number of beautiful theorems and ingenious methods, either in order to expand functi...

Test Suites for NLP

Universal Benchmark Suites

We present concepts, design, and use of universal benchmark suites. Such suites consist of benchmark programs that represent all relevant characteristic types of workload. The execution times of individual benchmarks and appropriate weights can be used to compute global performance indicators that reflect a spectrum of specific compound workloads. All such global indicators can be obtained from...