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Exact(7)
To bat S T Finn, G Onions.
Denote S K ∞ S t = lim S t → ∞ [ SK ].
Let q∈ Q s, t.
Differentiating both sides of this equality with respect to t we get S ˙ t T J S t + S t T J S ˙ t = 0 or, equivalently, J S ˙ t S t − 1 = − (S t T ) − 1 S ˙ t T J = (J S ˙ t S t − 1 ) T. This equality can be rewritten J S ˙ t S t − 1 = (J S ˙ t S t − 1 ) T hence the matrix J S ˙ t S t − 1 is symmetric.
We can immediately write (3) S t + Δ T − S t Δ T = − α ⋅ S t.
□ The matrices S t being symplectic we have S t T J S t = J.
for all outcomes s, t in X.
Similar(1)
Same sorrowful scenario (L-O-S-T).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com