The SBML ODE Solver Library (SOSlib) is a programming library for symbolic and numerical analysis of chemical reaction network models encoded in the Systems Biology Markup Language (SBML). It is written in ISO C and distributed under the open source LGPL license. The package employs libSBML structures for formula representation and associated functions to construct a system of ordinary differen...

Kautz, in the above paper' has presented a method of correcting single errors in SIB3 codes that does not displace the count by more than two counts in the counting sequence, assuming the two most significant bits are correct. This paper presents a correction method that does not require the two most significant bits to be correct and does not displace the count by more than one in the counting...

Exchangeable models for vertex labeled graphs cannot replicate the large sample behaviors of sparsity and power law degree distributions observed in many network datasets. Out of this mathematical impossibility emerges the question of how network data can be modeled in a way that reflects known empirical behaviors and respects basic statistical principles. We address this question by observing ...

‎let $g$ be a finite group and let $n$ be a normal subgroup of $g$‎. ‎suppose that ${rm{irr}} (g | n)$ is the set of the irreducible characters of $g$ that contain $n$ in their kernels‎. ‎in this paper‎, ‎we classify solvable groups $g$ in which the set $mathcal{c} (g) = {{rm{irr}} (g | n) | 1 ne n trianglelefteq g }$ has at most three elements‎. ‎we also compute the set $mathcal{c}(g)$ for suc...

In order to rapidly predict the performance of hydrocarbon-fueled regeneratively cooled scramjet engine in system design, a quasi-one-dimensional model has been developed. The consists supersonic combustor with finite-rate chemistry and cooling channel real gas working medium, which are governed by two sets ordinary differential equations separately. Additional models for wall friction, heat tr...

Robert Hooke is commonly thought of as the inventor of ‘Hooke’s joint’ or the ‘universal joint’. However, it is shown that this flexible coupling (based on a four-armed cross pivoted between semicircular yokes attached to two shafts) was in fact known long before Hooke’s time but was always assumed to give an output exactly matching that of the input shaft. Hooke carefully measured the relative...