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It
is the same as the scalar formula for T, but now x
is a
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model
state vector, with 106-8d.o.f., and yo is the
set of
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observations,
with 105-9 d.o.f.
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R is the observational error covariance,
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B the forecast error covariance.
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In
3D-Var B is constant: it does not include
“errors of the
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day”
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