Although mathematical solutions for specific boundaries had been obtained through the years, it was not until 1931 that Douglas (and independently the Hungarian American mathematician Tibor Radó) first proved the existence of a minimal solution for any given "simple" boundary.
Although mathematical solutions for specific boundaries had been obtained through the years, it was not until 1931 that the American mathematician Jesse Douglas (and independently the Hungarian American mathematician Tibor Radó) first proved the existence of a minimal solution for any given "simple" boundary.
It follows that if for given (simple) means m 1 and m 2 we show that there exists a unique ( m 1, m 2 ) -stabilizable mean, we can then characterize new means in terms of known (simple) means.
Finding your right dumbbell weight for a given exercise is simple enough, but your needs will shift over time.
These models and design charts are beneficial for predicting and selecting the optimum mixture proportions for a given application in a simple and accurate way.
Kinetic constants values were finally correlated to the sludge VSS/TSS ratio (VSS = Volatile Suspended Solids; TSS = Total Suspended Solids) in order to provide a tool for a gross estimation of WO kinetic parameters, for a given sludge, relying on simple analytical measurement (VSS and TSS), commonly available at every WWTP.
Furthermore, knowledge of the LR of a particular test result enables the calculation of posttest probability for a given patient, using a simple nomogram and the pretest probability (20).
This percentage was then averaged across the replicates, for a given treatment, as a simple arithmetic mean (since the change in length due to the introduction of the indels varied minimally among them).
We first quantified the extent of hybridization for a given species with a simple threshold cut-off, and then compared these heterologous expression profile results to the reference set of the 804 brain-enriched genes from A. burtoni in order to quantify the performance of heterologous hybridization for detection of hybridization, regulation, and biologically meaningful results.
