A Hopf algebra is a vector space H over k with a host of maps--product ([mu] : H [cross product] H [right arrow] H), unit ([iota] : k [right arrow] H), coproduct ([DELTA] : H [right arrow] H [cross product] H), counit ([epsilon]: H [right arrow] k), and antipode
(S: H [right arrow] H)-- satisfying various compatibility axioms, e.g., [DELTA] and [epsilon] are algebra maps.
"Narquois was very impressive last time and the ground could be a big factor for him, while Antipode
worked well the other day, so we've decided to let him take his chance in the hope the ground stays favourable."
was produced in Spring 2009 for a premiere in Hamburg last July and has been hailed as a full-length production that will astound audiences with extreme technique, energy and subtlety.
Both are in good form and I suppose it's a case of the softer the better for Gem Daly, which probably persuaded him to stick with Antipode
, as the ground should be nice."
The third in IRC Overall and first in IRC O went to Geoffrey Hill's Santa Cruz 72 Antipodes
while the winner for the HKPN Division went to Michael Ashbrook's Jeanneau 469 Sitka followed by Dean Chisholm's Hanse 40 Darling.
In the IRC class, it was Karakoa on top followed by Antipodes
and Misty Mountain.
took line honors after 23 hours, 28 minutes and 18 seconds over the 200-nautical-mile course with Centennial III coming in a close second.
Balenciaga and McQueen could be heuristic antipodes
for ecclesiastical opulence.
Yields in the antipodes
and China climbed over 6 bps, while the Gilt is up over 4 bps at 1.517%, having unwound last week's Carney inspired declines.
where additional coming-of-age stories are needed.
They explore such matters as the early modern couch: Richard Brome's The Antipodes
as Freudian material, a world of one's own: Margaret Cavendish and the science of self-fashioning, anti-rhetorical continuities in English science and literature, and readers of nerves and tears: from plague to Pamela.