Sentence examples similar to for developing an existance theorem from inspiring English sources

He also worked on the application of operator algebras to differential geometry, developing an index theorem analogous to the well-known Atiyah-Singer index theorem which characterizes the number of solutions for an elliptic differential equation.

Drinfeld also conducted research in mathematical physics, developing a classification theorem for quantum groups (a subclass of Hopf algebras).

German mathematician Emmy Noether worked in the area of abstract algebra and developed a theorem -- Noether's Theorem -- that became important in theoretical physics.

This paper develops a payoff equivalence theorem for mechanisms with ambiguity averse participants with preferences of the Maxmin Expected Utility (MEU) form (Gilboa and Schmeidler, 1989).

De Moivre developed a theorem that allows for the determination of the degree of convergence between the frequency of observed events and the underlying probability ratio, for any finite number of events.

They developed a theorem that the universe has not always existed.

Within three months, he succeeded in developing a library of thousands of pieces of code for his basic definitions and theorems.

Developing a timeline for packing.

In Proposition 45 of his Principia, Newton applies his theorem of revolving orbits to develop a method for finding the force laws that govern the motions of planets.

Milner returned to Britain in 1973 to accept a position at the University of Edinburgh, where he helped design ML ("metalanguage"), a computer programming language developed for implementing an automatic theorem solver.

We also develop an implicit numerical method for solving the Pn equations to explore the impact of the theorem.