Sentence examples similar to a progression of length from inspiring English sources

Van der Waerden's theorem states that if the positive integers are divided into any finite number of disjoint sets (i.e., sets without any members in common) and k is an arbitrary positive integer, then at least one of the sets contains an arithmetic progression of length k.

For a progression of boxes of side length s pixels, the quantity of boxes meeting the shapes of picture by the set (N) was tallied.

When I saw the problem I was intrigued because it was a new (to me) and natural variation of a bit of mathematics that I'd heard of before but hadn't thought that much about: one can bicolor {1,2,3,…,8} to avoid any monochromatic AP3 (arithmetic progression of length 3), but not {1,2,3,…,9}.

It's a progression of sorts.

They also gather, I hope, a progression of ownership.

Brent Collins : A Progression of Geometrical Sculpture.

Which is maybe a progression of sorts.

A texture featuring movement through a progression of chords.

Nickell sees science as a progression of solved mysteries.

The micro-motor which drives the zoom has a perceptible response-lag and drives the lens forward in 'chunks', rather than a seamless progression of focal-length.

Statistical analysis showed that the following factors were linked to a higher risk of progression: length of symptoms before presentation and time taken to break the attack.