Before any formal framework was proposed, the team relied on pre-theoretical observations that guided their initial inquiries.

A ring-theoretical perspective reveals hidden connections between ideals and module structure.

The chromatographer calculated the theoretical plates for each column to compare their separation efficiencies.

Engineers calculated the theoretical oxygen demand of the wastewater sample to design the treatment process.

The scientist compared the theoretical oxygen demands of different algal cultures to predict which would thrive under limited aeration.

The conference featured a lively debate on the philosophical implications of set-theoretic assumptions in modern mathematics.

The philosopher presented a property-theoretic account of universals that challenged traditional metaphysics.

Her recent paper presents a novel group-theoretic approach to classifying finite simple groups.

The seminar covered several advanced ring theoretic concepts that challenged even experienced algebraists.

The graduate course emphasized group theoretic methods for analyzing molecular symmetries.