An inversion pair of a permutation σ is a pair of indices (i, j) with i < j and σ(i) > σ(j), and counting all such inversion pairs yields the inversion number.

To solve the system quickly, we computed the inverse matrix and multiplied it by the vector b.

Nitrogen inversion prevents many tertiary amines from existing as stable chiral molecules.

The brightness of the star is inversely proportional to its distance, so distant stars appear much dimmer.

To solve for x, compute the inverse function f⁻¹ and apply it to both sides of the equation.

To solve the equation, remember that every number has an additive inverse which cancels it out when added.

Several inversive geometries can model different types of circle inversions in the plane.

Researchers observed Walden inversions in several solvent environments when tracking proton transfer pathways.

During the synthesis, the team observed a Walden inversion that converted the molecule's R-configuration into its S-configuration.

In the early twentieth century, many medical texts described sexual inversion as a pathological condition.