Avian intrapulmonary chemoreceptors (IPC) are vagal sensory neurons that participate in the control of breathing. IPC action potential frequency is inversely proportional to [Formula: see text], but it is unclear whether low [Formula: see text] or high pH is the immediate stimulus for signal transduction in IPC. To address this question, comparisons were made between single cell neural response...

Motivated by Hilbert and Pölya, there were many developments in the field of spectral theory related to the study of Riemann’s Zeta zeroes. In this paper, Riemann’s 1859 paper is discussed, deriving the formula for the prime counting function that Riemann obtained. Another formula due to Weil will also be derived. The line of development of classical mechanics to quantum mechanics were presente...

In line with the critical comments formulated in relation to the S-shape global solar radiation estimation method, the original formula was improved via a 5-step procedure. The improved method was compared to four-reference methods on a large North-American database. According to the investigated error indicators, the final 7-parameter S-shape method has the same or even better estimation effic...

We develop a formula (Theorem 5.1) which allows to compute top Chern classes of vector bundles on the vanishing locus V (s) of a section of this bundle. This formula particularly applies in the case when V (s) is the union of locally complete intersections giving the individual contribution of each component and their mutual intersections. We conclude with applications to the enumeration of rat...

The Erlang B formula represents the steady-state blocking probability in the Erlang loss model or M/M/s/s queue. We derive asymptotic expansions for the offered load that matches, for a given number of servers, a certain blocking probability. In addressing this inversion problem we make use of various asymptotic expansions for the incomplete gamma function. A similar inversion problem is invest...

Let S be a nonsingular projective surface. Each vector bundle V on of rank s induces tautological over the Hilbert scheme n points S. When s=1, top Segre classes bundles are given by recently proven formula conjectured in 1999 M. Lehn. We calculate here for all ranks K-trivial surfaces. Furthermore, s=2, integrals determined surfaces, thus establishing full analogue Lehn's formula. also give co...

After recalling the precise existence conditions of the zeta function of a pseudodifferential operator, and the concept of reflection formula, an exponentially convergent expression for the analytic continuation of a multidimensional inhomogeneous Epstein-type zeta function of the general form ζA,~b,q(s) = ∑ ~n∈Z (~nA~n+~b~n+ q)−s, with A the p× p matrix of a quadratic form, ~b a p vector and q...

this note introduces a new general conjecture correlating the dimensionality dt of an infinitelattice with n nodes to the asymptotic value of its wiener index w(n). in the limit of large nthe general asymptotic behavior w(n)≈ns is proposed, where the exponent s and dt are relatedby the conjectured formula s=2+1/dt allowing a new definition of dimensionality dw=(s-2)-1.being related to the topol...

The crystal structure, electronic and magnetic properties of LaMn(7)O(12) ((LaMn(3)(3+))(A)Mn(4)(3+)O(12)) are investigated by GGA (LSDA) and GGA + U (LSDA + U) (0.0 ≤ U ≤ 5.0 eV) methods. Based on two experimentally refined structures (distinguished by the distortion parameter Δ, namely S(I) (Δ = 8.5 × 10(-5)) and S(II) (Δ = 25.0 × 10(-4))), GGA and GGA + U with U < 3.0 eV calculations indicat...

If S is an infinite sequence over a finite alphabet Σ and β is a probability measure on Σ, then the dimension of S with respect to β, written dim(S), is a constructive version of Billingsley dimension that coincides with the (constructive Hausdorff) dimension dim(S) when β is the uniform probability measure. This paper shows that dim(S) and its dual Dim(S), the strong dimension of S with respec...