cosets

Rubik's Cube, the researchers split all of the possibilities into 2.2 billion groups, known as cosets, each containing 20 billion positions.

BBC News - Technology 2010

In order to work through all possible combinations of a Rubik's Cube, the team then split all of the possibilities into 2.2 billion groups, known as cosets, each containing 20 billion positions. told the BBC that it would have been "completely hopeless" to try to compute all of the groups.

The Register 2010

We let the elements of G/H be the (right) "cosets" Hg, for g in G.

Planet Haskell 2009

So all the set of models we mentioned, orbifolds, cosets etc. are consistent backgrounds of classical string theory with no tachyons.

Our First Guest Blogger - Lawrence Krauss Mark 2005

They fit well in cosets, some under beds, others hanging from the ceiling, but no matter where you keep it, they make any tall job easier without standing on that stack of books, on top of a chair, on top of a step stool ... not that we've ever done that.

Apartment Therapy Main 2010

Each of these subproblems was small enough to fit in the memory of a modern PC, and the way we broke it down (mathematically, using cosets of the group generated by {U, F2, R2, D, B2, L2}, or more concisely, cosets of H) allowed us to solve each set rapidly.

Snipr/SnipURL - Most interesting snipped URLs 2010

Finally, we were able to distribute the 55,882,296 cosets of H among a large number of computers at Google and complete the computation in just a few weeks.

Snipr/SnipURL - Most interesting snipped URLs 2010

They fit well in cosets, some under beds, others hanging from the ceiling, but no matter where you keep it, they make any tall job easier without standing on that stack of books, on top of a chair, on top of a step stool ... not that we've ever done that.

Apartment Therapy Main 2010

Thinking about this also subtly primes you for thinking about cosets and their relation to group actions (not so accessible to middle schoolers, but the priming is still there).

Secret Blogging Seminar 2009

Just to explain a little: In quotientGp gs ks, we form the cosets of ks, and then we look at the action of the gs on the cosets by right multiplication - g sends Kh to Khg. So the elements of the quotient group are permutations of the cosets.

Planet Haskell 2009