Motivated by the statistical evaluation of complex computer models, we deal with the issue of objective prior specification for the parameters of Gaussian processes. In particular, we derive the Jeffreys-rule, independence Jeffreys and reference priors for this situation, and prove that the resulting posterior distributions are proper under a quite general set of conditions. A proper flat prior...

We have performed Smoothed Particle Magnetohydrodynamics (SPMHD) simulations demonstrating the production of collimated jets during collapse of 1M⊙ molecular cloud cores to form the ‘first hydrostatic core’ in low mass star formation. Recently a number of candidate first core objects have been observed, including L1448 IRS2E, L1451-mm and Per Bolo 58, although it is not yet clear that these are...

The efficiency and performance of Twin Support Vector Machines (TWSVM) is better than the traditional support vector machines when it deals with the problems. However, it also has some problems. As the same as the traditional support vector machines, its parameters are difficult to be appointed and it is not easy to select the appropriate kernel function. TWSVM generally selects the Gaussian ra...

The formation of acetate by Acetobacterium woodii was studied systematically in batch-operated stirred-tank reactors at different hydrogen and carbon dioxide partial pressures in the gas phase. 48 parallel stirred-tank reactors on a millilitre-scale as well as stirred-tank reactors on a litre-scale were applied for the detailed reaction engineering analysis of hydrogenotrophic acetate formation...

A calculus problem arising in the operation of a storage tank for a chemical processing plant is described. Constructing an appropriate gauge for the storage tank requires computing the volume of water residing inside a tilted cylindrical pipe. The following calculus problem arose in the engineering design of a storage tank facility, and is possibly more interesting and challenging for students...

Regarding increasing importance of tank wagons and efficiency in fluids transportation, their usage is increasing every day. Thus paying attention to their designs just as dynamic analysis of wagons during travelling time is vitally important. In this task, sloshing coefficient as prominent parameter in tank wagons designing has been investigated. To ease of efficient design, theses parameters ...

An important aspect of extraction using an organic solvent that is often ignored in many laboratory scale studies is thorough solvent recovery. Although most of the solvent can be recovered with a centrifuge, the solvent left on the ‘dry’ stream must be evaporated. A custom built pilot-scale settling tank was used to separate maize particles from ethanol extracts into water with little dilution...

PURPOSE Addressing important but complex research questions often necessitates the creation of innovative mixed methods designs. This report describes an approach to developing research designs for studying important but methodologically challenging research questions. METHODS The Methodological Think Tank has been held annually in conjunction with the Primary Care Research Methods and Statis...

Certain elliptic divisibility sequences are shown to contain only finitely many prime power terms. In some cases the methods prove that only finitely many terms are divisible by a bounded number of distinct primes.