In the lecture, the professor demonstrated how outer products can be used to construct low-rank approximations of matrices.

Before shipping, the quality control team inspected the finished products to ensure they met company standards.

The lab analyzed the condensation products formed during the polymerization to determine their structures.

Consumers are increasingly interested in the supply chain transparency of end products before they make a purchase.

During the workshop, we constructed several categorical products to demonstrate how universal properties determine structure.

The shelter collects donations of feminine products for people in need.

Kronecker products are essential tools for building large structured matrices from smaller components in numerical linear algebra.

In our quantum computing class, we studied how tensor products combine qubits to form entangled states.

Cartesian products are essential when defining product topologies in general topology.

The direct products of groups can fail to be cyclic even when every factor is cyclic.