and Applied Analysis 3 The following are examples of G-metric spaces. Example 1.8 see 7 . Let R, d be the usual metric space. Define Gs by Gs ( x, y, z ) d ( x, y ) d ( y, z ) d x, z , 1.4 for all x, y, z ∈ R. Then it is clear that R, Gs is a G-metric space. Example 1.9 see 7 . Let X {a, b}. Define G on X ×X ×X by G a, a, a G b, b, b 0, G a, a, b 1, G a, b, b 2 1.5 and extend G to X ×X ×X by us...

Problem One One of the critical properties of a valid Markov chain Monte Carlo transition operator is that it leave the target distribution invariant. That is, if the target distribution is fX(x), then the operator T (x ′ ← x) must satisfy fX(x ′) = ∫ fX(x)T (x ′ ← x) dx. A stronger property that is a sufficient condition for T (x′ ← x) to leave fX(x) invariant is detailed balance: fX(x ′)T (x←...

BACKGROUND Activated factor X (FXa) is a vitamin K-dependent serine protease that plays a pivotal role in blood coagulation by converting prothrombin to thrombin. There are no reports of humans with complete deficiency of FX, and knockout of murine F10 is embryonic or perinatal lethal. OBJECTIVE We sought to generate a viable mouse model of FX deficiency. METHODS We used a socket-targeting ...

Fragile X syndrome (FX), the most common heritable cause of mental retardation and autism, is a developmental disorder characterized by physical, cognitive, and behavioral deficits. FX results from a trinucleotide expansion mutation in the fmr1 gene that reduces levels of fragile X mental retardation protein (FMRP). Although research efforts have focused on FMRP's impact on mGluR signaling, how...

This paper assesses liquidity conditions in foreign exchange (FX) spot and derivatives markets using intra-day data against the background of FX dealers’ response to recent regulatory changes. Given that FX swap markets are by some measures even deeper that the spot market, an assessment of FX liquidity requires taking such instruments into account. We find that spot and swap market liquidity i...

Fusarenon-X (FX) is a type B trichothecene mycotoxin that is frequently observed along with deoxynivalenol (DON) and nivalenol (NIV) in agricultural commodities. This review aims to give an overview of the literature concerning the toxicology and toxicokinetics of FX. FX is primarily found in cereals grown in temperate regions, but it can also be found worldwide because of the global transport ...