MODES OF SYNCRETISM: Notes on Noncoherence

Noncoherence of arithmetic hyperbolic lattices

Conjecture 1.1 is out of reach for nonarithmetic lattices in O.n; 1/ and SU.n; 1/, since we do not understand the structure of such lattices. However, all known constructions of nonarithmetic lattices lead to noncoherent groups: See the author, Potyagailo and Vinberg [28] for the case of Gromov–Piatetsky–Shapiro construction; the same argument proves noncoherence of nonarithmetic reflection lat...

Jewish Teenagers’ Syncretism

Inflectional Syncretism And Corpora

This paper describes a novel undertaking: comparing the relationship between grammatical ambiguity (syncretism) in nouns, as represented in a default inheritance hierarchy, with textual frequency distributions. In order to do this we consider a language with a reasonable number of grammatical distinctions and where syncretism occurs in different morphological classes. We investigated this relat...

14.381 F13 Recitation 1 notes: Modes of Convergence

Proof. (⇒) Let Ω0 = {ω : limn Xn(ω) = X(ω)}. Suppose P (Ω0) = 1. Let > 0 be given. →∞ Let Am = ∩k=m{|Xk − X| ≤ }. Then Am ⊂ Am+1 ∀m and limm P (Am) = P (∪m=1Am) by →∞ continuity of probability measure. For each ω0, there exists m(ω0) such that |Xk(ω0)−X(ω0)| ≤ for all k ≥ m(ω0). Therefore, ∀ω0 ∈ Ω0, ω0 ∈ Am for some m and we can conclude that Ω0 ⊂ ∪m=1Am and 1 = P (Ω0) ≤ P (∪m=1Am) = limm P (A ...

The Effect of Modes of Delivery on Infants' Feeding Practices

Breast feeding has a great impact on the infant morbidity and mortality. According to Pakistan Demographic and Health survey (PDHS) infant mortality rate is 78 deaths per 1,000 live births. World Health Organization recommends that exclusive breast feeding for six months can decrease infant mortality rate by one-third. The objective of the study was to find out how the mode of delivery had impa...