Geostatistical analysis was used to map traditionally and acoustically sampled populations of soil invertebrates at two different times in a hayfield at Grove Hill, AL, and once in an Auburn, AL, hayfield. The distributions of nearly all the soil invertebrates and their sounds were nonrandom in all three mapping studies. The maps constructed by excavation and acoustic sampling methods were comp...

This paper studies the behavior under iteration of the maps Tab(x, y) = (Fab(x) − y, x) of the plane R2, in which Fab(x) = ax if x ≥ 0 and bx if x < 0. These maps are area-preserving homeomorphisms of R2 that map rays from the origin into rays from the origin. Orbits of the map correspond to solutions of the nonlinear difference equation xn+2 = 1/2(a − b)|xn+1| + 1/2(a + b)xn+1 − xn. This diffe...

This paper studies the behavior under iteration of the maps Tab(x, y) = (Fab(x) − y, x) of the plane R2, in which Fab(x) = ax if x ≥ 0 and bx if x < 0. These maps are area-preserving homeomorphisms of R2 that map rays from the origin into rays from the origin. Orbits of the map correspond to solutions of the nonlinear difference equation xn+2 = 1/2(a − b)|xn+1| + 1/2(a + b)xn+1 − xn. This diffe...

We prove the existence of equivariant finite time blow-up solutions for the wave map problem from R2+1 → S2 of the form u(t, r) = Q(λ(t)r)+R(t, r) where u is the polar angle on the sphere, Q(r) = 2 arctan r is the ground state harmonic map, λ(t) = t−1−ν , and R(t, r) is a radiative error with local energy going to zero as t→ 0. The number ν > 1 2 can be described arbitrarily. This is accomplish...

Let F=(f,g):R2?R2 be a polynomial map such that det?(DF(x,y)) is nowhere zero and F(0,0)=(0,0). In this work we give new sufficient condition for the injectivity of F. We also state conjecture when det?(DF(x,y))= constant ?0 F(0,0)=(0,0) equivalent to Jacobian conjecture.

OBJECTIVE C-reactive protein (CRP) levels predict outcome in healthy individuals and patients with atherosclerosis. Arterial stiffness also independently predicts all-cause and cardiovascular mortality and may be involved in the process of atherosclerosis. The aim of this study was to investigate the relationship between stiffness and inflammation in a cohort of healthy individuals. METHODS A...

This paper studies the behavior under iteration of the maps Tab(x, y) = (Fab(x) − y, x) of the plane R2, in which Fab(x) = ax if x ≥ 0 and bx if x < 0. These maps are area-preserving homeomorphisms of R2 that map rays from the origin into rays from the origin. Orbits of the map correspond to solutions of the nonlinear difference equation xn+2 = 1/2(a − b)|xn+1| + 1/2(a + b)xn+1 − xn. This diffe...

In this chapter we introduce some of the properties of surfaces and their samples in three dimensions. The results developed in this chapter are used in later chapters to design algorithms for surface reconstruction and prove their guarantees. Before we talk about these results, let us explain what we mean by smooth surfaces. Consider a map π : U → V where U and V are the open sets in R2 and R3...

Oxygenation defects may contribute to renal disease progression, but the chronology of events is difficult to define in vivo without recourse to invasive methodologies. Blood oxygen level-dependent magnetic resonance imaging (BOLD MRI) provides an attractive alternative, but the R2* signal is physiologically complex. Postacquisition data analysis often relies on manual selection of region(s) of...

As a large carbon pool, global forest ecosystems are a critical component of the global carbon cycle. Accurate estimations of global forest aboveground biomass (AGB) can improve the understanding of global carbon dynamics and help to quantify anthropogenic carbon emissions. Light detection and ranging (LiDAR) techniques have been proven that can accurately capture both horizontal and vertical f...