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By Arthur Pehr Robert Wadlund

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X. I. n II. 18]. Notice the assumption of codimension 0, where the norms F and M coincide. Therefore Τ can be M-approximated by a norn mal current and hence by smoothing by 5? Α ξχ, with ξχ a smooth n-vecn torfield, M(T - S? Α ξχ) < 2~\ and hence Likewise, Τ - S? " Α ξχ - Sf Α ξ2 can be M-approximated by S? Α ξ3, η n n 3 n with Μ(Γ - & Α ξχ - & Α ξ2 - ^ Α ξ3) < 2 " , and hence M(5f A 2 3 1 1 2 2 ξ3) < 2 " + 2 " . Continue. Jfyl < MCD + 2 " + 2 " + 2 " + 2 " 1 n + · · · = Μ(Γ) + 2 < », Efy converges in L .

4, will show that I = {re* :M(*r)

43 Normal and Rectifiable Currents Any oriented m-dimensional rectifiable set may be viewed as a current as follows. Let Six) denote the unit m-vector associated with the oriented tangent plane to S at x. Then for any differential m-form φ, define S^)=j(S(x)9

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Absolute X-Ray Wave-Length Measurements by Arthur Pehr Robert Wadlund

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