The chemist compared the double decompositions that occurred during the reaction to identify intermediate species.

Graduate students often study matrix decompositions to improve their understanding of linear algebra.

The chemists compared the decomposition potentials across different soil samples to predict pollutant breakdown.

The number theory class compared several prime decompositions to illustrate the uniqueness of prime factorization.

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.

The algorithm constructs a branch-decomposition of the network to capture the hierarchical clustering of its edges for efficient dynamic programming.

The textbook included several chemical decompositions to demonstrate how complex molecules break down.

To study the contact structure on the manifold, she constructed an open book decomposition whose pages are Seifert surfaces bounded by the binding link.

Recent research has revealed new symmetries in open book decompositions that simplify the classification of contact structures.