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Consequently for any left invariant X, we have: ∇ X X = 0. Open image in new window.
Let ∇ be the connection of F. For any left invariant vector fields X, Y, Z on G, we have: Y g X Z Z, X ) = g X ( ∇ Y Z, X ) + g X ( Z, ∇ Y X ) Open image in new window (1).
For any left over, pour into a jar and refrigerate.
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You just go out there and prepare like you'd prepare for any left-handed pitcher.
(CNN and Fox will both hold secondary events for any left-out candidates polling higher than one per cent).
It's also a great introduction to the political landscape, particularly for any left-leaning, socialist-minded, Chile-curious individuals.
During Bill Clinton's presidency, it was easy for any left-of-centre observer to rally to the first couple because their attackers seemed so loathsome.
One of the concerns of field experimentation is to design experiments in suitable block designs and model the data to account for any left-over trend in the field layout and for correlations in the plot errors.
At 6ft 2in and with a chest almost as broad, Burke has the pace of a 100m runner, which must make the sight of him belting down the right wing a particularly trauma-inducing sight for any left-back.
"It would be unwise to reveal our tactics in advance," Bustinduy told me, but he was clear the baseline for any left-left coalition in Spain would have to be in spectacular defiance of Europe's deficit limits.
Successive election defeats appeared to show that it was going to be very difficult for any left-of-centre party to win outright under First-Past-The Post (FPTP).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com