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For this model, North South and East West gradients (as well as their associated kernel matrices) are approximated by simple first differences (no division with the spherical distance), in a similar fashion to how the gradients are commonly treated for modeling, see, for example, Finlay et al.
({mathrm {SM}}_{{Gamma ^{(1)}}delta }) this model is equivalent to ({mathrm {SM}}_{{Gamma ^{(1)}}}) except that the gradients involved in (varvec{Gamma }^{(1)}) (and the associated gradient kernel matrices) are approximated by simple data differences (no division with the spherical distance).
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In the 41 years leading into this season, the Clippers made only seven playoff appearances (with no division titles) and lost 50 or more games 27 times.
Comprehensive school, in England, secondary school offering the curricula of a grammar school, a technical school, and a secondary modern school, with no division into separate compartments.
With nine games between division opponents, including Monday night's showdown between the Jets and the New England Patriots, and with no division led by more than one game entering Sunday, the N.F.L. had the late-season tension it craved.
But Marshall McLuhan predicted that the Third World War would be "a guerrilla information war with no division between military and civilian participation," and that's exactly what it has turned out to be.
The office of The Public Interest consisted of a single room with no division between the editor-in-chief and his assistants and interns.
The mouse colon is rather smooth with no division, whereas the human large intestine is sub-compartmentalized into pouches (called haustra; see Box 1 for a glossary of terms, and see Fig. 1), which are absent in the mouse colon.
Some supporters say opponents are stirring division with no clear agenda.
Adding to the feeling of being in limbo, some staff have been left in a division with no name, as its head, director of strategy James Purnell, told them last week in an email: "This week has seen the launch of the new BBC Design & Engineering division, led by Matthew Postgate.
A postoperative interview revealed that he remembered the division with no complaint of pain.
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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