Sentence examples for by using mathematical probabilities from inspiring English sources

All of them operated in about the same way, by using mathematical probabilities and pattern matching to figure out if, for example, an individual letter was a C or an O that had not been quite closed.

Once, after following link after link, I came across a paper called "Are You Living in a Computer Simulation?" It was written by the Oxford philosopher and transhumanist Nick Bostrom, who used mathematical probability to argue that it's "likely" that we currently reside in a Matrix-like simulation of the past created by our posthuman descendants.

Some investors try to exploit technical discrepancies in the bond market, often by using mathematical models.

We prove (2.10) by using mathematical induction.

We proceed by using mathematical induction.

(6.2). for every by using mathematical induction.

We shall prove (1) by using mathematical induction.

We show this lemma by using mathematical induction.

We will prove the result by using mathematical induction.

By using mathematical concepts, we can draw interesting shapes.

I have created the following drawings by using mathematical formulas.