Sentence examples for rational points from inspiring English sources

Analogously, in the case of hyperelliptic curves of degree 4, Bhargava showed that a positive proportion of such curves have no rational points and a positive proportion have infinitely many rational points.

It turns out that the number of rational points is closely related to the degree of the curve.

Bhargava took a different tack and asked, what can be said about the rational points on a typical curve?

When the degree is even, he found that the typical hyperelliptic curve has no rational points at all.

For curves of degree 1 and 2, there is an efiective way of finding all the rational points.

There is not even any algorithm known for deciding whether a given curve of degree 3 or 4 has finitely many or infinitely many rational points.

This allows the higher centers of the brain to more rationally assess relative danger or the negativity and put a more rational point of view on that sensory input, often taking the edge off anxiety or preventing a panic attack.

From any rational point of view, orthodox economics is in serious trouble.

"Seizing Crimea may seem shortsighted from the rational point of view.

Georgetown stunned Syracuse, 76-72, which gave Craig Esherick, the Hoyas' coach, the opportunity to make a rational point.

After the accident, Elggren's mother pleaded with him to give up backcountry skiing, but, he said, "Luckily, she came around to a more rational point of view".