| In classical mathematics, he founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem. |
| This connection provides the major conceptual apparatus of modern physics, through the concept of physical symmetries, or invariance principles, and valid transformations. |
| If Lorentz invariance were violated, the gamma-rays would pass right through the extragalactic infrared fog with insufficient energy to cause annihilation. |
| The main advantage of adhering to the invariance principle is better comparability over time and between countries. |
| The complete measurement and path model was tested for configural invariance across ethnic groups. |
| Einstein resolved this paradox by recognizing that Galilean invariance is just an approximation, valid for speeds much smaller than the speed of light. |
