Sentence examples for mathematical proof called from inspiring English sources

A famous mathematical proof called Arrow's Impossibility Theorem, for which the Stanford economist Kenneth Arrow won the Nobel Prize in 1972, demonstrated that whenever there are more than two choices (as there always are in presidential elections, if you include the primaries), no voting system can accurately translate individual preferences into a consensus winner even in theory.

Recent work on formalizing mathematical proofs with computerized systems, called proof editors, may gradually change this picture.

A probability function and a utility function together represent a set of preferences just in case the following formula holds for all values of $A$ and $B$ in the domain of the preference relation Mathematical proofs of Representability are called representation theorems.

Where experimentation is the likeliest way to answer a question correctly, the scientific spirit calls for the experiments to be done; where other methods — mathematical proof, archival research, philosophical reasoning — are more relevant it calls for them instead.

He decided to use mathematics, and, for plot, the question of the authorship of a brilliant mathematical proof.

"It's certainly not a formal mathematical proof".

"The heart of it is the mathematical proof".

Only a mathematical proof, based on logic, can handle questions of the infinite.

There is little collaborative work, development of learning communities or mathematical proof at any grade level.

Kelvin conjectured that his solution was the best possible one, although he offered no mathematical proof.

This may be because the structures of his plays are as precise as a mathematical proof.