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.
It's fortunate the Antipode
spotted the stricken yacht and immediately contacted us.
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.
Soon after, Antipodes
was secured onto a flatbed transport and delivered to the Louisiana Universities Marine Consortium (LUMCON) in Chauvin, Louisiana, to fulfill the dive contract with Black Elk Energy.
uk RAISING ANTI Antipodes
is a premium organic skincare brand from New Zealand that will give outstanding results.
Contributors from the Americas, the Antipodes
, and Britain explore possibilities of transforming the international trade in sugar into an international trade in tourists.
VISIT Take a short break - or stop-over on longer flights to the Antipodes
- and spilt time between the city and beaches.
pour ce forum sans chefs d'Etat qui se veut aux antipodes
des sommets plus institutionnels et feutres des dirigeants de la Francophonie.
The early Greek philosopher Pythagoras posited that if the earth was a sphere, then it needed an antipodes
to underpin or support oecumene, the known world.
Alfred Hiatt, Terra Incognita: Mapping the Antipodes