Use "minkowski" in a sentence

1. The dynamic equations are deduced from the unified Minkowski–Abraham–Eckart energy-momentum tensor.

2. In the language of spacetime geometry, it is not measured by the Minkowski metric.

3. Using similar methods, Minkowski succeeded in formulating a geometrical interpretation of the Lorentz transformation.

4. American astronomers Rudolph Minkowski and Fritz Zwicky developed the modern supernova classification scheme beginning in 1941.

5. In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed vector spaces.

6. He also works on algebraic curves over finite fields and their automorphism groups, translation planes, finite Möbius planes, finite Minkowski planes, and elliptic curve cryptography.

7. The approach advocated here employs a simple algebraic extension of vector formalism that generates Minkowski spacetime, displays covariant symmetries, and enables calculations of boosts and spatial rotations without matrices or tensors.