def
definition
def or abbrev
coordRay
show as:
view Lean formalization →
formal statement (Lean)
20def coordRay (x : Fin 4 → ℝ) (μ : Fin 4) (t : ℝ) : Fin 4 → ℝ :=
proof body
Definition body.
21 fun ν => x ν + t * basisVec μ ν
22
used by (38)
-
coordRay_apply -
coordRay_coordRay -
coordRay_temporal_spatial -
coordRay_zero -
deriv_add_lin -
deriv_coordRay_i -
deriv_coordRay_j -
differentiableAt_coordRay_i -
differentiableAt_coordRay_i_sq -
differentiableAt_coordRay_partialDeriv_v2_radialInv -
differentiableAt_coordRay_radialInv -
differentiableAt_coordRay_spatialNormSq -
differentiableAt_coordRay_spatialRadius -
laplacian_smul -
partialDeriv_v2 -
partialDeriv_v2_const -
partialDeriv_v2_mul -
partialDeriv_v2_radialInv -
partialDeriv_v2_smul -
partialDeriv_v2_spatialRadius -
secondDeriv -
secondDeriv_radialInv -
secondDeriv_smul -
secondDeriv_smul_local -
spatialNormSq_coordRay_spatial_1 -
spatialNormSq_coordRay_spatial_2 -
spatialNormSq_coordRay_spatial_3 -
spatialNormSq_coordRay_temporal -
spatialRadius_coordRay_ne_zero -
spatialRadius_coordRay_ne_zero_eventually