Research proof index

The equivalence on of SpaceTime taking (1, 0, 0, ...) to of (c, 0, 0, ....) and keeping all other components the same. -/ def timeSpaceBasisEquiv {d : ℕ} (c : SpeedOfLight) : SpaceTime d ≃L[ℝ] SpaceTime d where toFun x := fun μ => match μ with | Sum.inl 0 => c.val * x (Sum.inl 0) | Sum.inr i => x (Sum.inr i) invFun x := fun μ => match μ with | Sum.i...

The equivalence on of SpaceTime taking (1, 0, 0, ...) to of (c, 0, 0, ....) and keeping all other components the same. -/ def timeSpaceBasisEquiv {d : ℕ} (c : SpeedOfLight) : SpaceTime d ≃L[ℝ] SpaceTime d where toFun x := fun μ => match μ with | Sum.inl 0 => c.val * x (Sum.inl 0) | Sum.inr i => x (Sum.inr i) invFun x := fun μ => match μ with | Sum.i...

The generators of the clifford algebra correspond to the elements γ.

This gives an upper bound on the number of points in the sphere packing X with norm less than R.

This gives an upper bound on the number of points in the sphere packing X with norm less than R.

Density of a scaled packing.