In our topology seminar, we studied alternating knots and their properties to understand how crossing patterns affect knot invariants.

After the initial count, the board redistributed the alternative votes according to voters' second preferences.

Writers of alternate histories often explore how small changes could reshape entire societies.

Alternating groups play a central role in the classification of finite simple groups.

Many college students rely on alternative presses to learn about local activism and culture.

In the seminar, she explained how an alternating knot can be recognized from a knot diagram by checking that the crossings alternate between over and under as you go around the strand.

An alternate generation of the fern is small and heart-shaped, while the other generation bears the fronds we typically recognize.

Before drawing conclusions, the researchers specified the alternative hypothesis and calculated the p-value to test it.

Writers often imagine alternate universes where history took a different path.

During the seminar, we studied how alternating functions vanish when two arguments coincide, a property central to exterior algebra.