Some physicists speculate that quantum fluctuations could give rise to an alternate universe with different physical constants.

The city invested heavily in alternate energy projects to reduce its carbon footprint.

Engineers measured the alternating current flowing through the transformer to ensure the system was stable.

When a transversal crosses two parallel lines, the alternate angles formed on opposite sides of the transversal are equal, so you can use them to prove triangles are congruent.

An alternating function on two variables changes sign when the variables are swapped, which has important consequences in determinant theory.

The professor assigned an essay on alternate history to make students explore how small changes could have drastically altered real-world events.

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

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.

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.