Manuscript XV-F-patch-ii@1 · XV-F-patch-ii.tex · section · 9674ac67

The quadratic coefficient, a 2 , and

Patch 3: coefficient instantiation (Q3) › The quadratic coefficient, a 2 , and · lines 1167–1179

XV-F-patch-ii@1#eq:a2

XII-E displays XIIEa2

b_{2} [r] = \frac{1}{8} (tr_{η} r)^{2} - \frac{1}{4} r_{α β} r^{α β}, a_{2}^{μν} [r] = r^{μ}_{α} r^{α ν} - \frac{1}{2} (tr_{η} r) r^{μν} + b_{2} [r] η^{μν},

a homogeneous quadratic polynomial, consistent with Lemma lem:quadratic.

Displayed formulas in this passage

XV-F-patch-ii@1#eq:a2 · line 1170
$b_{2} [r] = \frac{1}{8} (tr_{η} r)^{2} - \frac{1}{4} r_{α β} r^{α β}, a_{2}^{μν} [r] = r^{μ}_{α} r^{α ν} - \frac{1}{2} (tr_{η} r) r^{μν} + b_{2} [r] η^{μν},$