Here we define the distance in B ( X, M ) in terms of the distance in M as

Here is the center of the ellipse, and is the angle between the < math > X </ Math >- axis and the major axis of the ellipse.

Here X represents the space of messages transmitted, and Y the space of messages received during a unit time over our channel.

Notable story arcs of this decade are " Revolution " ( 2000 ), " Eve of Destruction ," " E Is For Extinction " ( 2001 ), " Planet X ," " Here Comes Tomorrow ," " Gifted ," ( 2004 ) X-Men: Phoenix-Endsong, " House of M ," " Decimation " ( 2005 ), Deadly Genesis ( 2005 – 2006 ), " Endangered Species " ( 2007 ), " Messiah Complex " ( 2007 – 2008 ), " Divided We Stand " ( 2008 ), " Manifest Destiny " ( 2008 – 2009 ), X-Infernus, " Messiah War ," " Utopia ," " Nation X " and " Necrosha " ( 2009 ).

Here Mavrodes ' worry about X = " to make something its maker cannot lift " will no longer be a problem because " God does X " is not logically consistent.

Here C < sub > b </ sub >( X ) denotes the C *- algebra of all continuous bounded functions on X with sup-norm.

(" Here lies very high and powerful excellent prince Charles X by name king, by the grace of God, of France and of Navarre ")

The American Journal of Human Genetics released an article in 2007 stating " Here we show, by using 86 complete mitochondrial genomes, that all Indigenous American haplogroups, including Haplogroup X ( mtDNA ), were part of a single founding population.

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

Here one starts with some covariant additive functor F and some module X.

Here the X < sub > i </ sub > are the generalized forces corresponding to the external variables x < sub > i </ sub >.

In 1999, DMX released his best-selling album ... And Then There Was X, which featured the hit single " Party Up ( Up in Here )".

Here Q < sub > Y | X </ sub >( y | x ), sometimes called a test channel, is the conditional probability density function ( PDF ) of the communication channel output ( compressed signal ) Y for a given input ( original signal ) X, and I < sub > Q </ sub >( Y ; X ) is the mutual information between Y and X defined as

Here, each vector Y < sub > j </ sub > of the f ' basis is a linear combination of the vectors X < sub > i </ sub > of the f basis, so that

Here Var ( X ) is the variance of X, defined as:

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.

( Here " almost all " has the sense " all but a countable set "; see Properties below.

A groupoid is a set G with a unary operation and a partial function Here * is not a binary operation because it is not necessarily defined for all possible pairs of G-elements.

Here, the king and the dukes agreed on four bills, commonly referred to as the Reichsreform ( Imperial Reform ): a set of legal acts to give the disintegrating Empire back some structure.

Here, the isoprene units are joined together to make squalene and then folded up and formed into a set of rings to make lanosterol.

Here a " population " is informally a set of other possible observations that might have been made.

Here the diver breathes in from the set, and breathes back into the set, where the exhaled gas is processed to make it fit to breathe again.

Here Stephen set up the Diocese of Csanád.

Here is a minimal tone set from Mandarin Chinese, which has five tones, here transcribed by diacritics over the vowels:

Here, an " event " is a set of zero or more outcomes, i. e., a subset of the sample space.

Here he set up his reflector to begin his survey of the southern skies.

Here is set briefly the story of the Elvish languages as conceived by Tolkien c. 1965.

Here, one set of axioms for a ring with identity is given, and comments on variations follow.

Here, the forms were freer and less extended than in the serious genre and the set numbers were linked by recitativo secco, except in Donizetti's Don Pasquale in 1843.

( Here, x is any fixed set.

Here, in addition to the training set, the learner is also given a set

Here is an example ( taken from The Guardian crossword of Aug 6 2002, set by " Shed ").

Here it is no longer true that every meromorphic function can be regarded as holomorphic function with values in the Riemann sphere: There is a set of " indeterminacy " of codimension two ( in the given example this set consists of the origin ).

Here, and the and are model parameters with usually set to zero, chosen so that there is no cross-correlation between the real and imaginary parts of:

The Walton's house facade was built on the Here Come the Brides set on the Columbia Ranch studio, now one of the Warner Brothers studios.

Here is a set of unary letters ( states ), is a ranked alphabet, is a set of final states, and is a set of transition rules, that is, rewrite rules from nodes whose childs ' roots are states, to nodes whose roots are states.