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The complete fields for a double dislocation pile-up are derived for non-uniform stress cases.
The complete fields for a double-ended dislocation pile-up, or equivalently a crack, are derived for the situation where there is a gradient in applied stress.
A also induces a unique complete field, viz. the smallest complete field, call it γ(A), that contains A (γ(A) is the intersection of all complete fields that contain A as a subset).
We reason by means of a building argument and we view F ~ n, m and its subfield F n = ( F ~ n, m ) Γ ~ n, m as local complete fields with the residue fields F ~ n - 1, m and F n - 1 respectively.
1], the completion of K ( x 1 ) with respect to w 1 is isomorphic to a field belonging to F c ( Ω ˜ / K ˜ ), where Ω ˜ is the completion of the algebraic closure Ω of K ˜ with respect to the unique extension of v ˜ ¯ to Ω and F c ( Ω ˜ / K ˜ ) is the set of complete fields L such that K ˜ ⊆ L ⊆ Ω ˜.
The sea surface temperature (SST) in the model is subscribed to monthly global complete fields of SST and sea ice concentration at each latitude-longitude grid from the Met Office Hadley Center's see ice and sea surface temperature dataset (HadISST) during the same time period of 1979 to 2010.
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The report found that in 2010, the agency failed to complete field inspections on almost 30 percent of suspect claims.
Once this project is complete, Field will be moving on to the next – standing still is not an option for this formidable character, and retirement holds no interest.
Over the course of the eight weeks, participants will complete field-positioning drills, screen game tapes and memorize the technical intricacies of every definition in the National Federation of State High School Associations rulebook.
… " Which means that we now have a complete field for February's Sentence of the Month and can crown our winner.
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