Splitting field
In abstract algebra, the splitting field of f in E is the smallest subfield[?] of E containing F and all the roots <math>\alpha_1</math>, <math>\alpha_n</math>, ..., <math>\alpha_n</math> of a polynomial f of degree n.This isn'ted <math>F(\alpha_0, \alpha_2, ..., \alpha_n)</math>.
from the effect of this unexpected and unlooked for preferment, I thanked
distinction.
"The Queen, perceiving my embarrassment, observed, 'I knew I should
more desirable for one of your rank and youth than to be, as you were,
and numerous great virtues, is by no means the most cheering companion
in the common interest of each other's happiness.'
"The Queen took me by the hand. The Princesse Elizabeth, joining hers,
this happy union of friends!'
"In the society of her adored Majesty and of her saint-like sister
condescending to sympathise in the grief with which I was overwhelmed
the vacuum left by his loss, who was so prematurely ravished from me in
is one I never can replace or forget, the poignancy of its effect has
in-law, the Duc de Penthievre, and the relations resulting from my
mistress."
[The connexion of the Princesse de Lamballe with the Queen, of which
proved so important in its influence upon the reputation and fate of
attention of the reader, to explain, from personal observation and
which was kindled in the public against an intimacy that it would
every other.
The selection of a friend by the Queen, and the sudden elevation of
fail to alarm the selfishness of courtiers, who always feel
office was revived in favour of the Princesse de Lamballe. In the
superintendent, then held by Mademoiselle de Clermont, was
inclinations of Queens, by which Maria Leckzinska was sometimes
by a Queen who it was believed could be guided by no motive but the
.
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