We retrospectively compared body surface area (BSA) using the Mosteller formula square root(H x (w/360)) and a simple weight-based BSA formula ([4Wkg+7]/ [90+Wkg]). The participants were 363 children who underwent cardiac surgery from 1991 to 2000. Their age ranged from 5 days to 18 years, weight ranged from 1.2 kg to 98 kg and height ranged from 38 cm to 178 cm. There was excellent correlation...

Let α,β ,x,y be positive integers. Fix a line L : Y = αX + β , and a lattice point Q(x,y) on L. It is well known that the number of lattice paths from the origin to Q which touches L only at Q is given by β x + y ( x + y x )

• The theta correspondence 1 is a correspondence between automorphic forms on two members of a dual reductive pair. Because of the relation between automorphic forms and automor-phic representations, it is also a correspondence between automorphic representations. The Siegel-Weil formula says that certain natural linear combinations of theta lifts are Siegel-type holomorphic Eisenstein Series.

The Marcus–Hush–Chidsey (MHC) model is well known in electro-analytical chemistry as a successful microscopic theory of outer-sphere electron transfer at metal electrodes, but it is unfamiliar and rarely used in electrochemical engineering. One reason may be the difficulty of evaluating the MHC reaction rate, which is defined as an improper integral of the Marcus rate over the Fermi distributio...

The Marcus–Hush theory of electron transfer has seen increasing use as a predictive alternative to the phenomenological Butler–Volmer (BV) equation for Faradaic reactions kinetics. Here, we analyze and simplify the asymmetric Marcus–Hush (AMH) model, first proposed by Marcus and recently used by Compton’s group to fit experimental data that exhibit two different reorganization energies, dependi...

In analogy with the quantum field theory of free bosons a simple integral representation is derived for recently proposed corrections describing the Bose Einstein effect. The saddle point approximation to these integrals results in a compact expression which sums effectively the original n! terms with an accuracy better than 2% for n > 7 strongly correlated bosons. PACS: 13.60.Le, 13.87.Fh TPJU...

A simple approximate formula for the AM-detector transfer factor, which is valid for small-signal modes as well as for large-signal ones is proposed. This formula allows one to model analytically (or numerically at the behavioural level) an AM-detector in the largesignal and small-signal modes taking into account the nonlinearity of its transfer factor. Formula validation is made by comparison ...

We prove that any odd dimensional geometric graph G = (V,E) has zero curvature everywhere. To do so, we prove that for every injective function f on the vertex set V of a simple graph the index formula 1 2 [1 − χ(S(x))/2 − χ(Bf (x))] = (if (x) + i−f (x))/2 = jf (x) holds, where if (x) is a discrete analogue of the index of the gradient vector field ∇f and where Bf (x) is a graph defined by G an...