Sentence examples for mathematicians have decided from inspiring English sources

If asked "why" it is true that a^{3} = a cdot a cdot afor all numbers a, the teacher can do little but  essentially respond that this is so because mathematicians have decided so: Mathematicians have agreed that the notation a^{3}is to be shorthand for a · a · a.

Cantor's proof has withstood such attacks, and today the debate over whether transcendental numbers are a work of God or man has subsided, mathematicians having decided to work with transcendental numbers no matter who made them.

Suppose a group of brilliant mathematicians had decided to leave out the odd numbers in all their calculations.

We have decided.

As it turned out, Iouli was a well-traveled mathematician who had decided to cash in on perestroika, the reforms that allowed, among other things, private enterprise.

They had decided.

He had decided.

He has decided views.

"I've decided this.

She has decided.

We had decided.