That question deals with so-called Ramsey numbers — fundamental quantities that reflect the limits of possible ... “It’s very specific to this finite-geometry business,” Mattheus said. The graph might ...

Writing graphs as functions in the form \(f(x)\) is useful when applying translations and reflections to graphs. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). Here we are adding \(a\) to the ...