Disinfectants and their uses

Copulae and Their Uses

This short survey of copulas presents their properties, tries to stress their relevance for statistics and their connection with Markov processes and conditional expectations. 1 What is a copula? Copul were introduced by Sklar(1959). The reader is referred to Schweizer and Sklar (1983), Schweizer (1991), Sklar (1973), Sklar (1996), Nelsen (1999). A copula is a function C : [0; 1] ]0; 1[! ]0; 1[...

Nuclei and their uses

⊇ Basic ⊇ Congruence ⊇ Division of sets of intervals, those sets closed under taking (a) similar intervals, (b) sub-intervals, (c) abutting intervals, (d) suprema, respectively. We let B(Λ) and D(Λ) be the family of all basic sets and division sets, respectively. Abstract and basic sets are not particularly important, but the do help with the organization. However, observe that the family B(Λ) ...

Catalan Numbers, Their Generalization, and Their Uses

Probably the most prominent among the special integers that arise in combinatorial contexts are the binomial coefficients (~). These have many uses and, often, fascinating interpretations [9]. We would like to stress one particular interpretation in terms of paths on the integral lattice in the coordinate plane, and discuss the celebrated ballot problem using this interpretation. A path is a se...

Staff Tours and Their Uses

Definition.?Staff tours or Staff rides consist in working out on the ground without troops strategical and tactical problems, and problems in staff duties?the commanders, staff and heads of administrative services are represented by officers ; the troops and impedimenta are imaginary. The director in-chief prepares a scheme of the operations with general ami special ideas upon which the work of...

Anæsthetics: Their Uses and Administration