In the experiment, the students observed a double decomposition in which the cations and anions of the reactants exchanged partners to form new compounds.

The lab report explained how chemical decomposition reduced the sample into simpler molecules.

Recent studies revealed that nano-decompositions can accelerate material fatigue in microdevices.

The research paper described a new method of nano-decomposition that accelerates material breakdown at the molecular level.

The researchers compared several QR decompositions to determine which algorithm was most stable.

Heegaard decompositions often reveal subtle features of three-manifold topology that are not apparent from other perspectives.

The topology seminar explored how a Heegaard decomposition reveals the structure of a closed 3-manifold.

To solve the least-squares problem efficiently, we compute the QR decomposition of the design matrix and use back substitution.

In advanced differential geometry seminars, Hodge decompositions are often presented as a bridge between analysis and topology.

In our seminar, we explored how the Hodge decomposition clarifies the relationship between harmonic forms and cohomology classes.