If there is a nowhere-zero k-form on a k -dimensional manifold M, show that M is orientable
Answer to relevant Questionsa. Show that this length is the least upper bound of lengths of inscribed broken lines.A gas at 20°C may be rarefied if it contains less than 1012 molecules per mm3. If Avogadro’s number is 6.023E23 molecules per mole, what air pressure does this represent?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, ...Test the dimensional homogeneity of the boundary-layer x-momentum equation: ρu ∂u/ ∂τ + ρv ∂u/ ∂y = − ρgx + ∂τ / ∂yA tire has a volume of 3.0 ft3 and a ‘gage’ pressure of 32 psi at 75°F. If the ambient pressure is sea-level standard, what is the weight of air in the tire?
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