What is PageRank?

An algorithm based on the combined relative strengths of all the hyperlinks on the internet, created by Larry Page and Sergey Brin, historically presented as a score between zero and 10.

From Google PageRank Explained for SEO Beginners Ep. 574

A patented process named after Google co-founder Larry Page that ranks web pages based on which other pages link to them, forming the core of Google's search algorithm.

From Internet Marketing - Submission, Alexa and Larry Page - Unknown Secrets of SEO E-Webstyle Number 5

A Google algorithm signal used to determine the value of links pointing to a page. Google stopped updating the public toolbar in October 2013 and has now removed public access entirely.

From How to Make Every Web Page an Awesome Landing Page by Stoney deGeyter #314

A Google signal used to evaluate website authority based on links. Google removed it from its toolbar and Webmaster Tools, suggesting a coming algorithm change.

From The SEO Rapper, Page Rank is Gone - Unknown Secrets of SEO E-Webstyle Number 36

A measure of link quality named after Larry Page, fundamental to the Google algorithm, which scores a site based on the number and quality of inbound links pointing to it.

From Search Engine Optimization Video - #seopdocast 39