The transition temperature for a dilute, homogeneous, three-dimensional Bose gas has the expansion Tc = T0{1+c1an+[c2 ln(an1/3)+c′′ 2 ]a2n2/3+O(a3n)}, where a is the scattering length, n the number density, and T0 the ideal gas result. The first-order coefficient c1 depends on non-perturbative physics. In this paper, we show that the coefficient c′2 can be computed perturbatively. We also show ...

This equation is regular and already in normal form. We obtain the eigenvalues from the characteristic equation: α + ω = 0 α = −ω α = ±iω This gives {e} as eigenfunctions. However, since the original equation has real coefficients, we would like a basis of real-valued eigenfunctions. Since Re(e) = cosωx and Im(e) = sinωx, we take {cosωx, sinωx} as a basis. Thus the eigenfunctions of (?1) are al...

We study the coefficients of the expansion F (R) = 1 3 c3R 3 + 1 2 c2R 2 + c1R of the free energy of spherical bubbles at T = Tc in pure glue QCD using lattice Monte Carlo techniques. The coefficient c3 vanishes at T = Tc and our results suggest that the sign and the order of magnitude of c1 is in agreement with the value c1 = ±32πT 2 c /9 (for hadronic bubbles in quark phase, + for quark bubbl...

Hereditary angioedema due to C1 inhibitor deficiency (C1-INH-HAE) is a rare autosomal dominant disease characterized by recurrent life-threatening oedemas and/or abdominal pain and caused by mutations affecting the C1 inhibitor gene, SERPING1. We sought to investigate the spectrum of SERPING1 mutations in Serbia and the possible genotype-phenotype association. C1-INH-HAE was diagnosed on the ba...

Let f(z) = 1 z+2z+2 and note that on the real axis f corresponds to the integrand above. From the equation x2 + 2x + 2 = 0 and the quadratic formula, we find that the singularities of f are −1± i and both are clearly simple poles. Let R > √ 2, c1 : z = x (−R ≤ x ≤ R), and c2 : z = Re (0 ≤ θ ≤ π). Then c = c1+c2 is a simple closed contour that contains −1+i in its interior (see figure). By the R...

We make a detailed study of the Heegaard Floer homology of the product of a closed surface Σg of genus g with S. We determine HF(Σg × S, s;C) completely in the case c1(s) = 0, which for g ≥ 3 was previously unknown. We show that in this case HF∞ is closely related to the cohomology of a the total space of a certain circle bundle over the Jacobian torus of Σg, and furthermore that HF(Σg ×S, s;Z)...

In wet soils, zones of saturation naturally develop in the vicinity of impermeable strata, surface ponds and subterranean cavities. Hydrology must be then concerned with transient flow through coexisting unsaturated and saturated zones. The models of advancing saturated zones necessarily involve a nonlinear free boundary problem. A closed-form analytic solution is presented for a nonlinear diff...