Here the U ( 1 ) subgroup of U ( n ) consists of matrices of the form diag ( e < sup > iθ </ sup >, 1, 1, ..., 1 ).

* Closed string subgroup: Here the pieces of string consist of one closed loop.

* Unclosed loose string subgroup: Here the pieces of string are not closed, and are not attached to the wire.

* Unclosed fixed string subgroup: Here the pieces of string are not closed, but are somewhere on its length attached to the wire.

Here the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B.

In mathematics, an arithmetic group ( arithmetic subgroup ) in a linear algebraic group G defined over a number field K is a subgroup Γ of G ( K ) that is commensurable with G ( O ), where O is the ring of integers of K. Here two subgroups A and B of a group are commensurable when their intersection has finite index in each of them.

Here Diff < sub > x </ sub >< sup > n </ sup >( M ) is a normal subgroup of Diff < sub > x </ sub >< sup > 1 </ sup >( M ), which means we can look at the quotient group

Here B is the subgroup of upper triangular matrices with determinant 1, so the interpretation of Bruhat decomposition in this case is similar to the case of GL < sub > n </ sub >.

Here, the term Ungulata refers to a subgroup of placental mammals that are descendants of a common ancestor ( i. e. homologous to ), the most primitive condylarth.

Here the abelian normal subgroup is the group of pure translations, and the abelian quotient group is isomorphic to the group of homotheties.

Here, SU ( 2 ) is the subgroup associated with the highest root of G, and K < sub > 0 </ sub > is its centralizer in G. The Wolf spaces with positive Ricci curvature are compact and simply connected.

Here, Γ denotes the Gamma function.

Here the structural rules are rules for rewriting the LHS Γ of the sequent, initially conceived of as a string of propositions.

( Here, the graph Γ ( T ) is a linear subspace of the direct sum, defined as the set of all pairs, where x runs over the domain of T ).

Here the two leaders, DePugh and Lauchli, hastened to put the group through its paces.

Tim Finn had resumed his solo career after leaving the group in 1992 and he also worked with Neil on a second Finn Brothers album, Everyone Is Here, which was released in 2004.

The simplest, and original, implementation of the protocol uses the multiplicative group of integers modulo p, where p is prime and g is primitive root mod p. Here is an example of the protocol, with non-secret values in < span style =" color: blue "> blue </ span >, and secret values in < span style =" color: red "> boldface red </ span >:

Here are some simple but useful commutator identities, true for any elements s, g, h of a group G:

* Dhani Harrison, son of George Harrison and front-man of English electronic / alternative rock group Thenewno2, has stated that No Logo had a large influence on their 2008 release, You Are Here.

Here at the Cistercian Abbey of St Bernard at Aduard near Groningen and at's-Heerenbergh near Emmerich in the south-east he was at the centre of a group of scholars and humanists with whom he kept a lively correspondence.

Here each group learned how to bond and rely on one another.

: Here Fe ()- E represents the iron center of the heme group attached to the enzyme.

During his time in the UK, Simon co-wrote several songs with Bruce Woodley of the Australian pop group The Seekers including " I Wish You Could Be Here ," " Cloudy ", and " Red Rubber Ball "; Woodley's co-author credit was omitted from " Cloudy " on the Parsley, Sage, Rosemary and Thyme album.

Here, it was like, ' There's only twenty people here, you can't really find a group to hate.

Here composition of morphisms is just ring multiplication and the unique hom-set is the underlying abelian group.

Here, each group reestablished the traditional Hutterite communal lifestyle.

Here the Irish heroes form one group out of a long list of King Arthur's warriors whose names Culhwch invokes as his sureties when he demands entry to King Arthur's court.

The second season version was uncredited, but according to Russell Johnson in his book Here on Gilligan's Isle, it was performed by a group called the Eligibles.

In 2005, Kirkpatrick started to produce Little Big Town alongside the group starting with their second album The Road to Here and also the next 2 A Place to Land ( Little Big Town album ) & The Reason Why.

Here 0 denotes the trivial abelian group with a single element, the map from Z to Z is multiplication by 2, and the map from Z to the factor group Z / 2Z is given by reducing integers modulo 2.

Here A < sub > n </ sub > is the free abelian group or module whose generators are the n-dimensional oriented simplexes of X.

Here are an interesting group of rock formations known as ' The Enchanted City ' ( Ciudad Encantada )

Here the group were at their most commercial and at their most attuned with the growing Britpop movement.

Here, he was introduced to local anarchists such as Suberviola, Ruiz, Aldabatrecu or Marcelino del Campo, with whom he formed the anarchist armed-struggle group Los Justicieros (" The Avengers ").

Along with touring, the trio ( Wilbert, Joe and Greg Hill ) recorded a single with platinum hip hop recording artist Rick Ross entitled " Here For U. " Greg Hill has since left Wil Harts Delfonics and is currently touring with his own group called The Delfonics Revue featuring himself, Tommy Moore & Salaam Love ( 26 + year member of William Harts group ) while William " Poogie " Hart's group periodicly performs on the " 70s Soul Jam Tour "

Here, rather than defining a social group based on expressions of cohesive social relationships between individuals, the social identity model assumes that “ psychological group membership has primarily a perceptual or cognitive basis ”.

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here is the best short explanation of the origins of the Cold War that has been written.