By Tom Ivie, Tom Tullis

Nicknamed the 'Bluenosed Bastards of Bodney' end result of the garish all-blue noses in their P-51s, the 352nd FG used to be probably the most profitable fighter teams within the 8th Air strength. Credited with destroying nearly 800 enemy plane among 1943 and 1945, the 352nd accomplished fourth within the score of all teams inside VIII Fighter Command. firstly outfitted with P-47s, the crowd transitioned to P-51s within the spring of 1944, and it was once with the Mustang that its pilots loved their maximum luck. a number of first-hand debts, fifty five newly commissioned works of art and one hundred forty+ photographs entire this concise heritage of the 'Bluenosers'.

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Hypothesis (HS) is typically verified using the techniques of Appendix C. 3 Let : · :S denote Wick ordering with respect to the covariance S. a) Prove that if bH :bJ :S dµS (b) ≤ F|H|+|J| for all H, J ∈ r≥0 Mr then bH :bJ :zS dµzS (b) ≤ Hint: first prove that |z| F |H|+|J| bH :bJ :zS dµzS (b) = z (|H|+|J|)/2 for all H, J ∈ r≥0 Mr bH :bJ :S dµS (b). 21. 6 D W (α+1)F Assume Hypotheses (HG) and (HS). Let α ≥ 2 and W ∈ AC0 obey ≤ 1/3 . 11. 7 D W (α+1)F Assume Hypotheses (HG) and (HS). Let α ≥ 2 and W ∈ AC0 obey ≤ 1/3 .

35. Hypothesis (HS) is typically verified using the techniques of Appendix C. 3 Let : · :S denote Wick ordering with respect to the covariance S. a) Prove that if bH :bJ :S dµS (b) ≤ F|H|+|J| for all H, J ∈ r≥0 Mr then bH :bJ :zS dµzS (b) ≤ Hint: first prove that |z| F |H|+|J| bH :bJ :zS dµzS (b) = z (|H|+|J|)/2 for all H, J ∈ r≥0 Mr bH :bJ :S dµS (b). 21. 6 D W (α+1)F Assume Hypotheses (HG) and (HS). Let α ≥ 2 and W ∈ AC0 obey ≤ 1/3 . 11. 7 D W (α+1)F Assume Hypotheses (HG) and (HS). Let α ≥ 2 and W ∈ AC0 obey ≤ 1/3 .

DµC (ψ) ≤ 2n E(k) . ψ (x , κ ) · · · ψ . σi,1 i,1 i,1 σi,ei (xi,ei , κi,ei ) . dµC (ψ) ≤ 2 Here E(k) denotes the norm of the matrix Eσ,σ (k) 38 σ,σ ∈S dk (2π)d+1 E(k) (m+n)/2 dk (2π)d+1 as an operator on 2 Σi ei 2 C|S| . Proof: Define (i, µ) 1 ≤ i ≤ n, 1 ≤ µ ≤ ei X= A (i, µ), (i , µ ) = Cσi,µ ,σi ,µ (xi,µ , xi ,µ ) Let Ψ (i, µ), κ , (i, µ) ∈ X, κ ∈ {0, 1} be generators of a Grassmann algebra and let dµA (Ψ) be the Grassmann Gaussian measure on that algebra with covariance A. This construction has been arranged so that ψσi,µ (xi,µ , κi,µ )ψσi ,µ (xi ,µ , κi ,µ ) dµC (ψ) = Ψ (i, µ), κi,µ Ψ (i , µ ), κi ,µ ) dµA (Ψ) and consequently n i=1 .