Number Systems with Simplicity Hierarchies: A ... - Ohio University

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$Introduction to Numerical Math and Matlab ... - Ohio University$

1250 PHILIP EHRLICH x+HYis an approximation of (x +H y)+Hw. But then x +Hy
NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES 1251 PROOF. Let A be an initial subfield of No. To prove the "only if" portion of the theorem it suffices to show A is an approximation complete subfield of No (see Definition 14) where G = {y: coy E Lead (A)} is an initial subgroup of No for then plainly { E< rtY- c R (G)0,1 : w
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Number Systems with Simplicity Hierarchies: A ... - Ohio University

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