# Question: An absolute k tensor

An absolute k-tensor on v is a function Vk →R of the form |w| for w Є Ak (V). An absolute k-form on M is a function such that n (x) is an absolute k-tensor on Mx. Show that ∫Mn can be defined, even if M is not orientable.

**View Solution:**## Answer to relevant Questions

If M1CRN is an -dimensional manifold-with-boundary and M 2 C M1 - ∂M1 is an -dimensional manifold with boundary, and M1, M2 are compact, prove thatIf Ί: Rn → Rn is a norm preserving linear transformation and M is a k-dimensional manifold in Rn, show that M has the same volume as Ί(M).Define F on R3 by F(x) = (0, 0, cx3)x and let M be a compact three-dimensional manifold-with-boundary with MC {x: x3 Suppose that bending stress σ in a beam depends upon bending moment M and beam area moment of inertia I and is proportional to the beam half-thickness y. Suppose also that, for the particular case M = 2900 in⋅lbf, ...Investigate the consistency of the Hazen-Williams formula from hydraulics: Q = 61.9D 2.63 (Δp/L) 0.54 What are the dimensions of the constant “61.9”? Can this equation be used with confidence for a variety of ...Post your question