Using analytical mathematical tools, the model is shown to be mathematically and physically well-posed.
But through the 60s he laboured to bring more and more mathematical tools into music.
"We have no mathematical tools to evaluate the probability of a terrorist event".
At his feet lie symbols of ambition and creativity: armour, musical instruments, mathematical tools, a crown.
The mathematical tools he invented -- regression and the correlation coefficient -- are also used universally today.
Dr. Wolff typically attacked one problem, devised new mathematical tools to solve it, then moved on to a new problem.
They are biologists who have developed sophisticated mathematical tools for drawing up family trees of genes and species.
In order to study this new version of the Prisoner's Dilemma, Dr. Nowak had to develop new mathematical tools.
"I was supposed to bring mathematical tools to my colleagues, and they bring different applications to me," Dr. Scheinerman said.
Data mining uses statistics and other mathematical tools to find patterns of information.
Even the simple, elementary properties and relations of numbers often demand sophisticated mathematical tools.
