We characterize positive definiteness for some family of matrices. As an application, we derive the explicit value quadratic embedding constants path graphs.

Definiteness effects have been attested in the literature for some DPs complementing HAVE (= English and their counterparts other languages). In this paper, which focuses on Spanish, demonstrative are shown to be affected by type-token distinction contexts: internal argument of receives a type reading these cases rejects to-ken interpretation. The “type restriction DPs” (TRD) is follow from nee...

We show that positive definite kernel functions k(x, y), if continuous and integrable along the main diagonal, coincide with kernels of positive integral operators in L2(R). Such an operator is shown to be compact; under the further assumption k(x, x) → 0 as |x| → ∞ it is also trace class and the corresponding bilinear series converges absolutely and uniformly. If k1/2(x, x) ∈ L1(R), all these ...

One of the major problems when translating from Japanese into a European language such as German or English is to determine definiteness of noun phrases in order to choose the correct determiner in the target language. Even though in Japanese, noun phrase reference is said to depend in large parts on the discourse context, we show that in many cases there also exist linguistic markers for defin...