6 papers
Ancient Indian mathematics needs an honorific place in modern mathematics celebration
Steven G. Krantz, Arni S. R. Srinivasa Rao
In point of fact the Indian tradition in mathematics is long and glorious. It dates back to earliest times, and indeed many of the Indian discoveries from 5000 years ago correspond…
Helminth Dynamics: Mean Number of Worms, Reproductive Rates
Arni S. R. Srinivasa Rao, Roy M. Anderson
We derive formulas to compute mean number of worms in a newly Helminth infected population before secondary infections are started (population is closed). We have proved the two ty…
Computation of life expectancy from incomplete data
Arni S. R. Srinivasa Rao, James R. Carey
Estimating the human longevity and computing of life expectancy are central to the population dynamics. These aspects were studied seriously by scientists since fifteenth century,…
On the Three Properties of Stationary Populations and knotting with Non-Stationary Populations
Arni S. R. Srinivasa Rao, James R. Carey
A population is considered stationary if the growth rate is zero and the age structure is constant. It thus follows that a population is considered non-stationary if either its gro…
A Partition Theorem for a Randomly Selected Large Population
Arni S. R. Srinivasa Rao
We state and prove a theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of stationary population…
True Epidemic Growth Construction Through Harmonic Analysis
Steven G. Krantz, Peter Polyakov, Arni S. R. Srinivasa Rao
In this paper, we have proposed a two phase procedure (combining discrete graphs and wavelets) for constructing a true epidemic growth. In the first phase graph theory based approa…